Index: sansview/media/model_functions.html
===================================================================
--- sansview/media/model_functions.html	(revision 3e0d308f3697fc9d6810e19d4fb550c5075d7270)
+++ sansview/media/model_functions.html	(revision fb0719007e5f4993730150da7d72aae8cc48a08d)
@@ -4,5 +4,4 @@
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+	{mso-style-name:"Footer Char";
+	mso-style-link:Footer;
+	font-family:"Times New Roman","serif";}
+span.BodyTextChar
+	{mso-style-name:"Body Text Char";
+	mso-style-link:"Body Text";
+	font-family:"Times New Roman","serif";}
+span.BalloonTextChar
+	{mso-style-name:"Balloon Text Char";
+	mso-style-link:"Balloon Text";
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+	margin-top:0in;
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 	margin-bottom:0in;
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+	{mso-style-name:msolistparagraphcxsplast;
+	margin-top:0in;
 	margin-right:0in;
 	margin-bottom:0in;
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+	margin-bottom:10.0pt;
+	margin-left:0in;
+	line-height:115%;
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+	font-family:"Times New Roman","serif";}
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+	margin-left:0in;
+	font-size:10.0pt;
+	font-family:"Times New Roman","serif";}
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 	{mso-style-name:"";
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 <p class=MsoNormal>&nbsp;</p>
 
-<ul type=disc>
+<ul style='margin-top:0in' type=disc>
  <li class=MsoNormal style='line-height:115%'><a href="#Introduction"><b>Introduction</b></a>
      </li>
  <li class=MsoNormal style='line-height:115%'><a href="#Shapes"><b>Shapes</b></a>:
-     <a href="#SphereModel">SphereModel</a>,
-     <a href="#CoreShellModel">CoreShellModel</a>,
-     <a href="#VesiclelModel">VesicleModel</a>,
-     <a href="#MultiShellModel">MultiShellModel</a>,
-     <a href="#BinaryHSModel">BinaryHSModel</a>,
-     <a href="#CylinderModel">CylinderModel</a>,
-     <a href="#CoreShellCylinderModel">CoreShellCylinderModel</a>,
-     <a href="#HollowCylinderModel">HollowCylinderModel</a>,
-     <a href="#FlexibleCylinderModel">FlexibleCylinderModel</a>,
-     <a href="#StackedDisksModel">StackedDisksModel</a>,
-     <a href="#ParallelepipedModel">ParallelepipedModel</a>,
-     <a href="#EllipticalCylinderModel">EllipticalCylinderModel</a>,
-     <a href="#EllipsoidModel">EllipsoidModel</a>,
-     <a href="#CoreShellEllipsoidModel">CoreShellEllipsoidModel</a>,
-     <a href="#TriaxialEllipsoidModel">TriaxialEllipsoidModel</a>,
-     <a href="#LamellarModel">LamellarModel</a>,
-     <a href="#LamellarFFHGModel">LamellarFFHGModel</a>,
-     <a href="#LamellarPSModel">LamellarPSModel</a>,
-     <a href="#LamellarPSHGModel">LamellarPSHGModel</a>.</li>
+     <a href="#SphereModel">SphereModel</a>, <a href="#FuzzySphereModel">FuzzySphereModel</a>,
+     <a href="#CoreShellModel">CoreShellModel</a>, <a href="#CoreFourShellModel">CoreFourShellModel</a>,
+     <a href="#VesicleModel">VesicleModel</a>, <a href="#MultiShellModel">MultiShellModel</a>,
+     <a href="#BinaryHSModel">BinaryHSModel</a>, <a href="#CylinderModel">CylinderModel</a>,
+     <a href="#CoreShellCylinderModel">CoreShellCylinderModel</a>, <a
+     href="#HollowCylinderModel">HollowCylinderModel</a>, <a
+     href="#FlexibleCylinderModel">FlexibleCylinderModel</a>, <a
+     href="#FlexCylEllipXModel">FlexCylEllipXModel</a>, <a
+     href="#StackedDisksModel">StackedDisksModel</a>, <a
+     href="#ParallelepipedModel">ParallelepipedModel</a>, <a
+     href="#EllipticalCylinderModel">EllipticalCylinderModel</a>, <a
+     href="#EllipsoidModel">EllipsoidModel</a>, <a
+     href="#CoreShellEllipsoidModel">CoreShellEllipsoidModel</a>, <a
+     href="#TriaxialEllipsoidModel">TriaxialEllipsoidModel</a>, <a
+     href="#LamellarModel">LamellarModel</a>, <a href="#LamellarFFHGModel">LamellarFFHGModel</a>,
+     <a href="#LamellarPSModel">LamellarPSModel</a>, <a
+     href="#LamellarPSHGModel">LamellarPSHGModel</a>.</li>
  <li class=MsoNormal style='line-height:115%'><a href="#Shape-Independent"><b>Shape-Independent</b></a>:
-     <a href="#Debye">Debye</a>,
-     <a href="#Lorentz">Lorentz</a>,
-     <a href="#DAB_Model">DAB_Model</a>,
-     <a href="#Power_Law">Power_Law</a>,
-     <a href="#Teubner Strey">Teubner Strey</a>, 
-	<a href="#BEPolyelectrolyte">BEPolyelectrolyte</a>,
-     <a href="#Number Density Fractal">Number Density Fractal</a>, 
-     <a href="#Guinier">Guinier</a>,
-     <a href="#PorodModel">PorodModel</a>,
-     <a href="#Peak Gauss Model">Peak Gauss Model</a>, 
-<a href="#Peak Lorentz Model">Peak Lorentz Model</a>, 
-<a href="#LineModel">LineModel</a>.</li>
- <li class=MsoNormal style='line-height:115%'>
-<a href="#Customized Models"><b>Customized
-     Models</b></a>: <a href="#A+Bcos(2x)+Csin(2x)">A+Bcos(2x)+Csin(2x)</a>,
-     <a href="#sinpoly_poly">sin(poly)/poly</a>.</li>
- <li class=MsoNormal style='line-height:115%'>
-<a href="#Structure Factors"><b>Structure
-     Factors</b></a>: 
-     <a href="#HardsphereStructure">HardSphereStructure</a>,
-     <a href="#SquareWellStructure">SquareWellStructure</a>,
-     <a href="#HayterMSAStructure">HayterMSAStructure</a>,
-     <a href="#StickyHSStructure">StickyHSStructure</a>.
-     </li>
- <li class=MsoNormal style='line-height:115%'>
-<a href="#References"><b>References</b></a>
+     <a href="#Debye">Debye</a>, <a href="#Lorentz">Lorentz</a>, <a
+     href="#DAB_Model">DAB_Model</a>, <a href="#Absolute Power_Law">Power_Law</a>, <a
+     href="#Teubner Strey">Teubner Strey</a>, <a href="#BEPolyelectrolyte">BEPolyelectrolyte</a>,
+     <a href="#FractalModel">FractalModel</a>, <a href="#Guinier">Guinier</a>,
+     <a href="#PorodModel">PorodModel</a>, <a href="#Poly_GaussCoil">Poly_GaussCoil</a>,
+     <a href="#Peak Gauss Model">Peak Gauss Model</a>, <a
+     href="#Peak Lorentz Model">Peak Lorentz Model</a>, <a href="#LineModel">LineModel</a>.</li>
+ <li class=MsoNormal style='line-height:115%'><a href="#Customized_Models"><b>Customized
+     Models</b></a>: <a href="#A+Bcos(2x)+Csin(2x)">A+Bcos(2x)+Csin(2x)</a>, <a
+     href="#sinpoly_poly">sin(poly)/poly</a>.</li>
+ <li class=MsoNormal style='line-height:115%'><a href="#Structure_Factors"><b>Structure
+     Factors</b></a>: <a href="#HardsphereStructure">HardSphereStructure</a>, <a
+     href="#SquareWellStructure">SquareWellStructure</a>, <a
+     href="#HayterMSAStructure">HayterMSAStructure</a>, <a
+     href="#StickyHSStructure">StickyHSStructure</a>. </li>
+ <li class=MsoNormal style='line-height:115%'><a href="#References"><b>References</b></a>
      </li>
 </ul>
@@ -812,6 +330,6 @@
 
 <p class=MsoNormal style='margin-left:.25in;text-indent:-.25in'><b><span
-style='font-size:16.0pt'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:16.0pt'><a name="Introduction"> Introduction </a></span></b></p>
+style='font-size:16.0pt'>1.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;
+</span></b><a name=Introduction><b><span style='font-size:16.0pt'>Introduction </span></b></a></p>
 
 <p class=MsoNormal>The present text documents the modules made available by the
@@ -836,12 +354,15 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-<p class=MsoNormal>Note that our model uses the form factor calculations implemented in a c-library provided by the NIST Center for Neutron Research and thus that some contents and figures in this documentation are originated from or shared with the NIST Igor SANS analysis package by permission (S. Kline, NIST, 2006). </p>
-
-<p class=MsoNormal><b>&nbsp;</b></p>
+<p class=MsoNormal><b>&nbsp;Note: Our model uses the form factor calculations
+implemented in a c-library provided by the NIST Center for Neutron Research and
+thus some content and figures in this document are originated from or shared
+with the NIST Igor analysis package by permission (S. Kline, NIST, 2006).</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in;text-indent:-.25in'><b><span
-style='font-size:16.0pt'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:16.0pt'><a name="Shapes">Shapes (Scattering Intensity
-Models)</a></span></b></p>
+style='font-size:16.0pt'>2.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;
+</span></b><a name=Shapes><b><span style='font-size:16.0pt'>Shapes (Scattering
+Intensity Models)</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -864,7 +385,7 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:12.0pt'><img border=0 width=192 height=43
-src="../images/html/image001.png"></span>            (1)</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=192 height=43 src="../images/html/image001.png">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -872,9 +393,6 @@
 <p class=MsoNormal>with</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:8.0pt'><img border=0 width=159 height=29
-src="../images/html/image002.png"></span>        (2)</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=159 height=29 src="../images/html/image002.png">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -889,6 +407,6 @@
 <p class=MsoNormal>For systems without inter-particle interference, the form
 factors we provide can be related to the scattering intensity by the particle
-volume fraction:<span style='position:relative;top:5.0pt'><img border=0
-width=92 height=21 src="../images/html/image003.png"></span>.</p>
+volume fraction:<img border=0 width=66 height=15
+src="../images/html/image003.png">.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -913,6 +431,6 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="SphereModel">Sphere Model</a></span></b></p>
+style='font-size:14.0pt'>2.1.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=SphereModel><b><span style='font-size:14.0pt'>Sphere Model</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -924,6 +442,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Definition</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -934,17 +452,17 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=337 height=53
-src="../images/html/image004.png"></span>            (3)</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
-
-<p class=MsoNormal>where <i>scale</i> is a scale factor, V is the volume of the
-scatterer, <i>r</i> is the radius of the sphere, <i>bkg</i> is the background
-level and <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i>
-(contrast)  is the scattering length density difference between the scatterer
-and the solvent it is in.</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=337 height=53 src="../images/html/image004.png">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>where <i>scale</i> is a scale factor* volume fraction, V is
+the volume of the scatterer, <i>r</i> is the radius of the sphere, <i>bkg</i>
+is the background level and <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i>
+(contrast)&nbsp; is the scattering length density (SLD) &nbsp;difference
+between the scatterer and the solvent it is in.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -962,6 +480,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:13.5pt'>
   <td width=135 valign=top style='width:101.0pt;border:solid windowtext 1.0pt;
@@ -981,5 +499,5 @@
   <td width=135 valign=top style='width:101.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
-  <p class=MsoBodyText>Scale</p>
+  <p class=MsoBodyText>scale</p>
   </td>
   <td width=135 valign=top style='width:101.0pt;border-top:none;border-left:
@@ -991,5 +509,5 @@
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
-  <p class=MsoBodyText>1.0e-6</p>
+  <p class=MsoBodyText>1</p>
   </td>
  </tr>
@@ -997,5 +515,5 @@
   <td width=135 valign=top style='width:101.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
-  <p class=MsoBodyText>Radius</p>
+  <p class=MsoBodyText>radius</p>
   </td>
   <td width=135 valign=top style='width:101.0pt;border-top:none;border-left:
@@ -1013,5 +531,5 @@
   <td width=135 valign=top style='width:101.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
-  <p class=MsoBodyText>Contrast</p>
+  <p class=MsoBodyText>sldSph</p>
   </td>
   <td width=135 valign=top style='width:101.0pt;border-top:none;border-left:
@@ -1023,5 +541,5 @@
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
-  <p class=MsoBodyText>1</p>
+  <p class=MsoBodyText>2.0e-6</p>
   </td>
  </tr>
@@ -1029,5 +547,21 @@
   <td width=135 valign=top style='width:101.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
-  <p class=MsoBodyText>Background</p>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=135 valign=top style='width:101.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=135 valign=top style='width:101.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
+  <p class=MsoBodyText>1.0e-6</p>
+  </td>
+ </tr>
+ <tr style='height:12.8pt'>
+  <td width=135 valign=top style='width:101.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:12.8pt'>
+  <p class=MsoBodyText>background</p>
   </td>
   <td width=135 valign=top style='width:101.0pt;border-top:none;border-left:
@@ -1057,7 +591,7 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Validation
-of the sphere model</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Validation of the
+sphere model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1071,5 +605,5 @@
 
 <p class=MsoBodyText align=center style='text-align:center;page-break-after:
-avoid'><img border=0 width=521 height=287 id="Picture 5"
+avoid'><img border=0 width=439 height=287
 src="../images/html/image005.jpg" alt="sphere_1D_validation"></p>
 
@@ -1086,24 +620,18 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-<p class=MsoNormal><b>&nbsp;</b></p>
-
-<p class=MsoNormal><b>&nbsp;</b></p>
-
-
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="CoreShellModel">Core Shell (Sphere) Model</a></span></b></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>This model provides the form factor, P(<i>q</i>), for a
-spherical particle with a core-shell structure. The form factor is normalized
-by the particle volume.</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Definition</b></p>
+style='font-size:14.0pt'>2.2.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=StickyHSStructure></a><a name=FuzzySphereModel></a><b><span
+style='font-size:14.0pt'>FuzzySphereModel</span></b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal><b>&nbsp;</b>This model is to calculate the scattering from
+spherical particles with a &quot;fuzzy&quot; interface. </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1112,7 +640,234 @@
 way (Guinier, 1955):</p>
 
+<p class=MsoNormal>The returned value is scaled to units of [cm-1 sr-1], absolute
+scale.</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>The scattering intensity I(q) is calculated as:</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
 <p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=642 height=55
-src="../images/html/image006.png"></span> (11)</p>
+style='position:relative;top:5pt'><img border=0 width=12 height=23
+src="../images/html/image101.gif"><img border=0 width=233 height=41
+src="../images/html/image102.gif"></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>where the amplitude A(q) is given as the typical sphere
+scattering convoluted with a Gaussian to get a gradual drop-off in the
+scattering length density:</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><span
+style='position:relative;top:18pt'><img border=0 width=315 height=56
+src="../images/html/image103.gif"></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>Here A<sup>2</sup>(q) is the form factor, P(q). The scale
+is equivalent to the volume fraction of spheres, each of volume, V. Contrast (<i><span
+style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i> ) is the
+difference of scattering length densities of the sphere and the surrounding
+solvent.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The poly-dispersion in radius and in fuzziness is provided.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>(direct from the reference)</p>
+
+<p class=MsoNormal>The &quot;fuzziness&quot; of the interface is defined by the
+parameter (sigma)<sub>fuzzy</sub>. The particle radius R represents the radius
+of the particle where the scattering length density profile decreased to 1/2 of
+the core density. The (sigma)<sub>fuzzy</sub>&nbsp; is the width of the smeared
+particle surface: i.e., the standard deviation from the average height of the
+fuzzy interface. The inner regions [] that display a higher density are
+described by the radial box profile extending to a radius of approximately Rbox
+~ R - 2(sigma). the profile approaches zero as Rsans ~ R + 2(sigma).</p>
+
+<p class=MsoNormal>For 2D data: The 2D scattering intensity is calculated in
+the same way as 1D, where the <i>q</i> vector is defined as<span
+style='font-size:14.0pt'><img border=0 width=82 height=26
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>REFERENCE</p>
+
+<p class=MsoNormal>M. Stieger, J. S. Pedersen, P. Lindner, W. Richtering,
+Langmuir 20 (2004) 7283-7292.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>TEST DATASET</p>
+
+<p class=MsoNormal>This example dataset is produced by running the
+FuzzySphereModel, using 200 data points, qmin = 0.001 Å<sup>-1</sup>,&nbsp;
+qmax = 0.7 A<sup>-1</sup> and the default coef_fuzz values:</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<div align=center>
+
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Parameter name</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Units</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Default value</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>scale</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>None</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1.0</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>radius</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>60</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>fuzziness</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>10</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>3e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldSph</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>background</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>cm<sup>-1</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>0.001</p>
+  </td>
+ </tr>
+</table>
+
+</div>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=442 height=275 src="../images/html/image104.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
+1D plot using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>2.3.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=CoreShellModel><b><span style='font-size:14.0pt'>Core Shell
+(Sphere) Model</span></b></a></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This model provides the form factor, P(<i>q</i>), for a spherical
+particle with a core-shell structure. The form factor is normalized by the
+particle volume.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The 1D scattering intensity is calculated in the following
+way (Guinier, 1955):</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=387 height=55 src="../images/html/image006.png">&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -1150,6 +905,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -1185,5 +940,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>radius</p>
+  <p class=MsoBodyText>(core) radius</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -1287,5 +1042,6 @@
 c-library provided by the NIST Center for Neutron Research (Kline, 2006).</p>
 
-<p class=MsoNormal>            </p>
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
 
 <p class=MsoNormal>REFERENCE</p>
@@ -1298,7 +1054,7 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Validation
-of the core-shell sphere model</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Validation of the
+core-shell sphere model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1312,5 +1068,5 @@
 
 <p class=MsoBodyText align=center style='text-align:center;page-break-after:
-avoid'><img border=0 width=526 height=289 id="Picture 19"
+avoid'><img border=0 width=466 height=289
 src="../images/html/image007.jpg" alt="core_shell_sphere_1D_validation"></p>
 
@@ -1324,9 +1080,333 @@
 <p class=MsoNormal>&nbsp;</p>
 
+<p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>2.4.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=CoreFourShellModel><b><span style='font-size:14.0pt'>CoreFourShell(Sphere)Model</span></b></a></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This model provides the scattering from monodisperse core 4
+shell structures. It &nbsp;has a core of a specified radius, with four shells.
+The SLDs of the core and each shell are individually specified.&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The returned value is scaled to units of [cm-1sr-1],
+absolute scale.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This model is a trivial extension of the CoreShell function
+to a larger number of shells. See the CoreShell function for a diagram and
+documentation.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>Be careful that the SLDs and scale can be highly correlated.
+Hold as many of these fixed as possible.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The 2D scattering intensity is the same as P(q) of 1D,
+regardless of the orientation of the q vector.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>For P*S: The outer most radius (= radius + 4 thicknesses) is
+used as the effective radius toward S(Q) if P(Q)*S(Q) is applied. </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The returned value is scaled to units of [cm<sup>-1</sup>]
+and the parameters of the CoreFourshell sphere model are the following:</p>
+
+<p class=MsoNormal>Here, rad_core = the radius of the core, &nbsp;thick_shelli
+= the thickness of the shell i and sld_shelli = the SLD of the shell i.</p>
+
+<p class=MsoNormal>And the sld_core and the sld_solv are the SLD of the core
+and the solvent, respectively.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<div align=center>
+
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Parameter name</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Units</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Default value</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>scale</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>None</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1.0</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>rad_core</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>60</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_core</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>6.4e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_shell1</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_shell2</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>2e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_shell3</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>3e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_shell4</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>4e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_solv</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>6.4e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>thick_shell1</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>10</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>thick_shell2</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>10</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>thick_shell3</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>10</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>thick_shell4</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>10</p>
+  </td>
+ </tr>
+ <tr style='height:19.5pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.5pt'>
+  <p class=MsoBodyText>background</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.5pt'>
+  <p class=MsoBodyText>cm<sup>-1</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.5pt'>
+  <p class=MsoBodyText>0.001</p>
+  </td>
+ </tr>
+</table>
+
+</div>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>Our model uses the form factor calculations implemented in a
+c-library provided by the NIST Center for Neutron Research (Kline, 2006).</p>
+
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
+
+<p class=MsoNormal>REFERENCE</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>See the CoreShell documentation.&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>TEST DATASET</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This example dataset is produced by running the
+CoreFourShellModel using 200 data points, qmin = 0.001 Å-1,&nbsp; qmax = 0.7
+Å-1 and the above default values.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=412 height=287 src="../images/html/image105.jpg"></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
+1D plot using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
 <p class=MsoNormal><b>&nbsp;</b></p>
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="VesicleModel">VesicleModel</a></span></b></p>
+style='font-size:14.0pt'>2.5.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=VesicleModel><b><span style='font-size:14.0pt'>VesicleModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1340,7 +1420,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=448 height=54
-src="../images/html/image008.png"></span> (11)</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=377 height=54 src="../images/html/image008.png">&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -1360,5 +1439,5 @@
 except that the scattering is normalized by the volume that is contributing to
 the scattering, namely the volume of the shell alone. Also, the vesicle is best
-defined in terms of a core radius (= R1) and a shell thickness, t.  </p>
+defined in terms of a core radius (= R1) and a shell thickness, t. &nbsp;</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1367,5 +1446,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=149 height=143 id="Picture 31" src="../images/html/image009.jpg"></p>
+width=149 height=143 src="../images/html/image009.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -1374,8 +1453,7 @@
 
 <p class=MsoNormal>The 2D scattering intensity is the same as <i>P</i>(<i>q</i>)
-above, regardless of the orientation of the <i>q</i> vector  which is defined
-as<span style='font-size:14.0pt;position:relative;top:8.0pt'><img border=0
-width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+above, regardless of the orientation of the <i>q</i> vector&nbsp; which is
+defined as<span style='font-size:14.0pt'><img border=0 width=69 height=22
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>For P*S: The outer most radius (= radius + thickness) is
@@ -1395,6 +1473,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -1516,5 +1594,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=454 height=356 id="Picture 158" src="../images/html/image011.png"></p>
+width=454 height=275 src="../images/html/image011.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -1547,15 +1625,14 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="MultiShellModel">MultiShellModel</a></span></b></p>
+style='font-size:14.0pt'>2.6.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=MultiShellModel><b><span style='font-size:14.0pt'>MultiShellModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>This model provides the form factor, P(<i>q</i>), for a
-multi-lamellar vesicle with N shells where the core is filled with solvent and
-the shells are interleaved with layers of solvent. For N = 1, this return to
-the vesicle model (above).</p>
+multi-lamellar vesicle with N shells where the core is filled with solvent and the
+shells are interleaved with layers of solvent. For N = 1, this return to the
+vesicle model (above).</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1564,5 +1641,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=255 height=224 id="Picture 32" src="../images/html/image012.jpg"></p>
+width=255 height=224 src="../images/html/image012.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -1572,11 +1649,10 @@
 <p class=MsoNormal>The 2D scattering intensity is the same as 1D, regardless of
 the orientation of the <i>q</i> vector which is defined as<span
-style='font-size:14.0pt;position:relative;top:8.0pt'><img border=0 width=103
-height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
-
-<p class=MsoNormal>For P*S: The outer most radius (= core_radius + n_pairs  *
-s_thickness  + (n_pairs -1) * w_thickness) is used as the effective radius
-toward S(Q) when P(Q)*S(Q) is applied. </p>
+style='font-size:14.0pt'><img border=0 width=59 height=19
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal>For P*S: The outer most radius (= core_radius +
+n_pairs&nbsp; * s_thickness&nbsp; + (n_pairs -1) * w_thickness) is used as the
+effective radius toward S(Q) when P(Q)*S(Q) is applied. </p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1595,6 +1671,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -1748,5 +1824,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=447 height=340 id="Picture 173" src="../images/html/image013.jpg"></p>
+width=447 height=289 src="../images/html/image013.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -1777,47 +1853,39 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="BinaryHSModel">BinaryHSModel</a></span></b></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>This model (binary hard sphere model) provides the scattering
-intensity, for binary mixture of spheres including hard sphere interaction
-between those particles. Using Percus-Yevick closure, the calculation is an
-exact multi-component solution:</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:5.0pt'><img border=0 width=479 height=25
-src="../images/html/image014.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>where S<sub>ij</sub>
-are the partial structure factors and f<sub>i</sub> are the scattering
-amplitudes of the particles. And the subscript 1 is for the smaller particle
-and 2 is for the larger. The number fraction of the larger particle, (<i>x</i>
-=  n<sub>2</sub>/(n<sub>1</sub>+n<sub>2</sub>), n = the number density) is
-internally calculated based on:</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:24.0pt'><img border=0 width=248 height=98
-src="../images/html/image015.png"></span><span style='position:relative;
-top:16.0pt'>.</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>2.7.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=BinaryHSModel><b><span style='font-size:14.0pt'>BinaryHSModel</span></b></a></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This model (binary hard sphere model) provides the
+scattering intensity, for binary mixture of spheres including hard sphere
+interaction between those particles. Using Percus-Yevick closure, the
+calculation is an exact multi-component solution:</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=349 height=25 src="../images/html/image014.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>where S<sub>ij</sub> are the partial structure factors and f<sub>i</sub>
+are the scattering amplitudes of the particles. And the subscript 1 is for the
+smaller particle and 2 is for the larger. The number fraction of the larger
+particle, (<i>x</i> = &nbsp;n<sub>2</sub>/(n<sub>1</sub>+n<sub>2</sub>), n =
+the number density) is internally calculated based on:</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=248 height=98 src="../images/html/image015.png">.</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1825,7 +1893,6 @@
 <p class=MsoNormal>The 2D scattering intensity is the same as 1D, regardless of
 the orientation of the <i>q</i> vector which is defined as<span
-style='font-size:14.0pt;position:relative;top:8.0pt'><img border=0 width=103
-height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+style='font-size:14.0pt'><img border=0 width=69 height=22
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -1841,6 +1908,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -1994,5 +2061,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=484 height=361 id="Picture 197" src="../images/html/image016.png"></p>
+width=447 height=313 src="../images/html/image016.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -2026,6 +2093,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="CylinderModel">Cylinder Model</a></span></b></p>
+style='font-size:14.0pt'>2.8.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=CylinderModel><b><span style='font-size:14.0pt'>Cylinder
+Model</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2037,6 +2105,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Definition</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2049,11 +2117,9 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:12.0pt'><img border=0 width=184 height=41
-src="../images/html/image017.png"></span>  (4)</p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:14.0pt'><img border=0 width=373 height=45
-src="../images/html/image018.png"></span>   (5)</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=184 height=41 src="../images/html/image017.png">&nbsp; (4)</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=359 height=45 src="../images/html/image018.png">&nbsp;&nbsp; </p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2063,6 +2129,6 @@
 <p class=MsoNormal>where <span style='font-family:"Arial","sans-serif"'>&#945;</span>
 is the angle between the axis of the cylinder and the q-vector, V is the volume
-of the cylinder, L is the length of the cylinder, r is the radius of the
-cylinder, and <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i>
+of the cylinder, L is the length of the cylinder, r is the radius of the cylinder,
+and <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i>
 (contrast) is the scattering length density difference between the scatterer
 and the solvent. J<sub>1</sub> is the first order Bessel function.</p>
@@ -2077,9 +2143,10 @@
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><img
-border=0 width=478 height=258 id="Picture 14"
-src="../images/html/image019.jpg" alt=cylinderangles.gif></p>
+border=0 width=478 height=258 src="../images/html/image019.jpg"
+alt=cylinderangles.gif></p>
 
 <p class=MsoCaption align=center style='text-align:center'><a
-name="_Ref173306040"></a><a name="_Ref173213915">Figure </a>2a. Definition of the angles for oriented cylinders.</p>
+name="_Ref173213915"></a><a name="_Ref173306040"></a>Figure 2a. Definition of
+the angles for oriented cylinders.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2091,5 +2158,6 @@
 alt=cylinderangles2.gif></p>
 
-<p class=MsoCaption align=center style='text-align:center'>Figure 2b. Examples of the angles for oriented cylinders against the detector plane.</p>
+<p class=MsoCaption align=center style='text-align:center'>Figure 2b. Examples
+of the angles for oriented cylinders against the detector plane.</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2112,6 +2180,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.85pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -2256,7 +2324,7 @@
 
 <p class=MsoNormal align=center style='text-align:center'><a
-name="_Ref173306479"></a><a name="_Ref173306528"><span style='position:relative;
-top:16.0pt'><img border=0 width=253 height=56
-src="../images/html/image021.png"></span>         (</a>6)</p>
+name="_Ref173306528"></a><a name="_Ref173306479"></a><img border=0 width=253
+height=56 src="../images/html/image021.png">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2274,14 +2342,14 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Validation
-of the cylinder model</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Validation of the
+cylinder model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>Validation of our code was done by comparing the output of
-the 1D model to the output of the software provided by the NIST (Kline, 2006). Figure
-3 shows a comparison of the 1D output of our model and the output of the NIST
-software.</p>
+the 1D model to the output of the software provided by the NIST (Kline, 2006).
+Figure 3 shows a comparison of the 1D output of our model and the output of the
+NIST software.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2292,7 +2360,7 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=244 height=51
-src="../images/html/image022.png"></span>           (7)</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=244 height=51 src="../images/html/image022.png">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2306,6 +2374,6 @@
 compare the implementation of the intensity for fully oriented cylinders, we
 can compare the result of averaging our 2D output using a uniform distribution <i>p(&#952;,</i><i><span
-style='font-family:"Arial","sans-serif"'>&#966;</span>)</i> = 1.0.  Figure 4
-shows the result of such a cross-check.</p>
+style='font-family:"Arial","sans-serif"'>&#966;</span>)</i> = 1.0.&nbsp; Figure
+4 shows the result of such a cross-check.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2314,12 +2382,14 @@
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><img
-border=0 width=512 height=282 id="Picture 11"
-src="../images/html/image023.jpg" alt="cylinder_1D_validation"></p>
+border=0 width=512 height=282 src="../images/html/image023.jpg"
+alt="cylinder_1D_validation"></p>
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'>&nbsp;</p>
 
-<p class=MsoCaption><a name="_Ref173211049"></a><a name="_Ref173211066">Figure </a>3: Comparison of the DANSE scattering intensity for a cylinder with the output of the
-NIST SANS analysis software. The parameters were set to: Scale=1.0, Radius=20
-Å, Length=400 Å, Contrast=3e-6 Å<sup> -2</sup>, and Background=0.01 cm<sup> -1</sup>.</p>
+<p class=MsoCaption><a name="_Ref173211066"></a><a name="_Ref173211049"></a>Figure
+3: Comparison of the DANSE scattering intensity for a cylinder with the output
+of the NIST SANS analysis software. The parameters were set to: Scale=1.0,
+Radius=20 Å, Length=400 Å, Contrast=3e-6 Å<sup> -2</sup>, and Background=0.01
+cm<sup> -1</sup>.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2328,12 +2398,12 @@
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><img
-border=0 width=521 height=287 id="Picture 12"
-src="../images/html/image024.jpg" alt="cylinder_2D_average"></p>
+border=0 width=467 height=287 src="../images/html/image024.jpg"
+alt="cylinder_2D_average"></p>
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'>&nbsp;</p>
 
-<p class=MsoCaption><a name="_Ref173213305">Figure </a>4: Comparison of the
-intensity for uniformly distributed cylinders calculated from our 2D model and
-the intensity from the NIST SANS analysis software. The parameters used were:
+<p class=MsoCaption><a name="_Ref173213305">Figure </a>4: Comparison of the intensity
+for uniformly distributed cylinders calculated from our 2D model and the
+intensity from the NIST SANS analysis software. The parameters used were:
 Scale=1.0, Radius=20 Å, Length=400 Å, Contrast=3e-6 Å<sup> -2</sup>, and
 Background=0.0 cm<sup> -1</sup>.</p>
@@ -2346,6 +2416,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="CoreShellCylinderModel">Core-Shell Cylinder Model</a></span></b></p>
+style='font-size:14.0pt'>2.9.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=CoreShellCylinderModel><b><span style='font-size:14.0pt'>Core-Shell
+Cylinder Model</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2357,6 +2428,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Definition</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2369,13 +2440,9 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=184 height=45
-src="../images/html/image025.png"></span> (12)</p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:32.0pt'><img border=0 width=476 height=93
-src="../images/html/image026.png"></span> (13)</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=184 height=45 src="../images/html/image025.png">&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=357 height=93 src="../images/html/image026.png">&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2397,5 +2464,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=384 height=196 id="Picture 34" src="../images/html/image027.jpg"></p>
+width=384 height=196 src="../images/html/image027.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2406,5 +2473,5 @@
 cylinder, we define the axis of the cylinder using two angles &#952; and <span
 style='font-family:"Arial","sans-serif"'>&#966;</span>. Similarly to the case
-of the cylinder, those angles are defined on Figure 2.</p>
+of the cylinder, those angles are defined on Figure 2 in Cylinder Model.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2426,6 +2493,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -2608,6 +2675,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal>The output of the 1D scattering intensity function for
-randomly oriented cylinders is then given by equation 6.</p>
+<p class=MsoNormal>The output of the 1D scattering intensity function for randomly
+oriented cylinders is then given by the equation above.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2621,26 +2688,27 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Validation
-of the core-shell cylinder model</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Validation of the
+core-shell cylinder model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>Validation of our code was done by comparing the output of
-the 1D model to the output of the software provided by the NIST (Kline, 2006). Figure
-8 shows a comparison of the 1D output of our model and the output of the NIST
-software.</p>
+the 1D model to the output of the software provided by the NIST (Kline, 2006).
+Figure 8 shows a comparison of the 1D output of our model and the output of the
+NIST software.</p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>Averaging over a distribution of orientation is done by
-evaluating equation 7. Since we have no other software to compare the
+evaluating the equation above. Since we have no other software to compare the
 implementation of the intensity for fully oriented core-shell cylinders, we can
 compare the result of averaging our 2D output using a uniform distribution <i>p(&#952;,</i><i><span
-style='font-family:"Arial","sans-serif"'>&#966;</span>)</i> = 1.0.  Figure 9 shows the result of such a cross-check.</p>
+style='font-family:"Arial","sans-serif"'>&#966;</span>)</i> = 1.0.&nbsp; Figure
+9 shows the result of such a cross-check.</p>
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><img
-border=0 width=509 height=280 id="Picture 22"
-src="../images/html/image028.jpg" alt="core_shell_cylinder_1D_validation"></p>
+border=0 width=454 height=272 src="../images/html/image028.jpg"
+alt="core_shell_cylinder_1D_validation"></p>
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'>&nbsp;</p>
@@ -2649,6 +2717,7 @@
 DANSE scattering intensity for a core-shell cylinder with the output of the
 NIST SANS analysis software. The parameters were set to: Scale=1.0, Radius=20
-Å, Thickness=10 Å, Length=400 Å, Core_sld=1e-6 Å<sup> -2</sup>, Shell_sld=4e-6 Å<sup>
--2</sup>, Solvent_sld=1e-6 Å<sup> -2</sup>, and Background=0.01 cm<sup> -1</sup>.</p>
+Å, Thickness=10 Å, Length=400 Å, Core_sld=1e-6 Å<sup> -2</sup>, Shell_sld=4e-6
+Å<sup> -2</sup>, Solvent_sld=1e-6 Å<sup> -2</sup>, and Background=0.01 cm<sup>
+-1</sup>.</p>
 
 <p class=MsoCaption>&nbsp;</p>
@@ -2659,6 +2728,6 @@
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><img
-border=0 width=518 height=285 id="Picture 23"
-src="../images/html/image029.jpg" alt="core_shell_cylinder_2D_average"></p>
+border=0 width=458 height=285 src="../images/html/image029.jpg"
+alt="core_shell_cylinder_2D_average"></p>
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'>&nbsp;</p>
@@ -2667,7 +2736,7 @@
 intensity for uniformly distributed core-shell cylinders calculated from our 2D
 model and the intensity from the NIST SANS analysis software. The parameters
-used were: Scale=1.0, Radius=20 Å, Thickness=10 Å, Length=400 Å, Core_sld=1e-6 Å<sup>
--2</sup>, Shell_sld=4e-6 Å<sup> -2</sup>, Solvent_sld=1e-6 Å<sup> -2</sup>, and
-Background=0.0 cm<sup> -1</sup>.</p>
+used were: Scale=1.0, Radius=20 Å, Thickness=10 Å, Length=400 Å, Core_sld=1e-6
+Å<sup> -2</sup>, Shell_sld=4e-6 Å<sup> -2</sup>, Solvent_sld=1e-6 Å<sup> -2</sup>,
+and Background=0.0 cm<sup> -1</sup>.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2679,8 +2748,7 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="HollowCylinderModel">HollowCylinderModel</span></b></p>
+style='font-size:14.0pt'>2.10.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=HollowCylinderModel><b><span style='font-size:14.0pt'>HollowCylinderModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2691,6 +2759,6 @@
 
 <p class=MsoNormal>P(q) = scale*&lt;f^2&gt;/V<sub>shell</sub>+background where
-the averaging &lt; &gt; id applied only for the 1D calculation.  The inside and
-outside of the hollow cylinder have the same SLD.</p>
+the averaging &lt; &gt; id applied only for the 1D calculation. &nbsp;The
+inside and outside of the hollow cylinder have the same SLD.</p>
 
 <p class=MsoNormal>The 1D scattering intensity is calculated in the following
@@ -2699,9 +2767,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:44.0pt'><img border=0 width=514 height=176
-src="../images/html/image030.png"></span> (11)</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=406 height=176 src="../images/html/image030.png">&nbsp;&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2716,5 +2781,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=393 height=217 id="Picture 33" src="../images/html/image031.jpg"></p>
+width=393 height=217 src="../images/html/image031.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2729,5 +2794,5 @@
 cylinder, we define the axis of the cylinder using two angles &#952; and <span
 style='font-family:"Arial","sans-serif"'>&#966;</span>. Similarly to the case
-of the cylinder, those angles are defined on Figure 2 of CylinderModel.</p>
+of the cylinder, those angles are defined on Figure 2 in Cylinder Model.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2748,6 +2813,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -2831,5 +2896,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>contrast</p>
+  <p class=MsoBodyText>sldCyl</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -2841,4 +2906,20 @@
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>6.3e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
   <p class=MsoBodyText>5e-06</p>
   </td>
@@ -2871,5 +2952,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=468 height=344 id="Picture 220" src="../images/html/image032.png"></p>
+width=443 height=259 src="../images/html/image106.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -2902,6 +2983,6 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.9.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="FlexibleCylinderModel">FlexibleCylinderModel</a></span></b></p>
+style='font-size:14.0pt'>2.11.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=FlexibleCylinderModel></a><b><span style='font-size:14.0pt'>FlexibleCylinderModel</span></b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -2910,15 +2991,14 @@
 flexible cylinder where the form factor is normalized by the volume of the
 cylinder: Inter-cylinder interactions are NOT included. P(q) =
-scale*&lt;f^2&gt;/V+background where the averaging &lt; &gt;  is applied over
-all orientation for 1D.  The 2D scattering intensity is the same as 1D,
-regardless of the orientation of the <i>q</i> vector which is defined as<span
-style='font-size:14.0pt;position:relative;top:8.0pt'><img border=0 width=103
-height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+scale*&lt;f^2&gt;/V+background where the averaging &lt; &gt;&nbsp; is applied
+over all orientation for 1D. &nbsp;The 2D scattering intensity is the same as
+1D, regardless of the orientation of the <i>q</i> vector which is defined as<span
+style='font-size:14.0pt'><img border=0 width=71 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=329 height=150 id="Picture 35" src="../images/html/image033.jpg"></p>
+width=329 height=150 src="../images/html/image033.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -2931,6 +3011,6 @@
 cylinder can be considered a rigid rod. The Kuhn length (b = 2*lp) is also used
 to describe the stiffness of a chain. The returned value is in units of [cm-1],
-on absolute scale. In the parameters, the contrast represents SLD (chain) -
-SLD (solvent).</p>
+on absolute scale. In the parameters, the sldCyl and sldSolv&nbsp; represent
+SLD (chain/cylinder) &nbsp;and SLD (solvent) respectively.</p>
 
 <p class=MsoNormal><sub>&nbsp;</sub></p>
@@ -2940,6 +3020,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -3007,5 +3087,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>contrast</p>
+  <p class=MsoBodyText>sldCyl</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -3017,5 +3097,21 @@
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>5e-06</p>
+  <p class=MsoBodyText>1e-06</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>6.3e-06</p>
   </td>
  </tr>
@@ -3061,5 +3157,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=434 height=322 id="Picture 228" src="../images/html/image034.jpg"></p>
+width=434 height=291 src="../images/html/image034.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -3078,6 +3174,6 @@
 Volume&quot; is used. The model is a parametrization of simulations of a
 discrete representation of the worm-like chain model of Kratky and Porod
-applied in the pseudocontinuous limit.  See equations (13,26-27) in the
-original reference for the details.</p>
+applied in the pseudocontinuous limit.&nbsp; See equations (13,26-27) in the original
+reference for the details.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3099,43 +3195,326 @@
 <p class=MsoNormal>&nbsp;</p>
 
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>2.12.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=FlexCylEllipXModel><b><span style='font-size:14.0pt'>FlexCylEllipXModel</span></b></a></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal><b>Flexible Cylinder with Elliptical Cross-Section: &nbsp;</b>Calculates
+the form factor for a flexible cylinder with an elliptical cross section and a
+uniform scattering length density. The non-negligible diameter of the cylinder
+is included by accounting for excluded volume interactions within the walk of a
+single cylinder. The form factor is normalized by the particle volume such that
+P(q) = scale*&lt;f^2&gt;/Vol + bkg, where &lt; &gt; is an average over all
+possible orientations of the flexible cylinder. </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The function calculated is from the reference given below.
+From that paper, &quot;Method 3 With Excluded Volume&quot; is used. The model
+is a parameterization of simulations of a discrete representation of the
+worm-like chain model of Kratky and Porod applied in the pseudo-continuous limit.&nbsp;
+See equations (13, 26-27) in the original reference for the details.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>NOTE: there are several typos in the original reference that
+have been corrected by WRC. Details of the corrections are in the reference
+below.</p>
+
+<p class=MsoNormal>&nbsp;- Equation (13): the term (1-w(QR)) should swap
+position with w(QR)</p>
+
+<p class=MsoNormal>&nbsp;- Equations (23) and (24) are incorrect. WRC has
+entered these into Mathematica and solved analytically. The results were
+converted to code.</p>
+
+<p class=MsoNormal>&nbsp;- Equation (27) should be q0 = max(a3/sqrt(RgSquare),3)
+instead of max(a3*b/sqrt(RgSquare),3)</p>
+
+<p class=MsoNormal>&nbsp;- The scattering function is negative for a range of
+parameter values and q-values that are experimentally accessible. A correction
+function has been added to give the proper behavior.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=329 height=150 src="../images/html/image033.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>The chain of contour length, L, (the total length) can be
+described a chain of some number of locally stiff segments of length lp. The
+persistence length, lp, is the length along the cylinder over which the
+flexible cylinder can be considered a rigid rod. The Kuhn length (b) used in
+the model is also used to describe the stiffness of a chain, and is simply b =
+2*lp.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The cross section of the cylinder is elliptical, with minor
+radius a. The major radius is larger, so of course, the 'axis_ratio' 
+must be greater than one. Simple constraints should be applied during curve
+fitting to maintain this inequality.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The returned value is in units of [cm-1], on absolute scale.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The sldCyl&nbsp; = SLD (chain), sldSolv = SLD (solvent). The
+scale, and the contrast are both multiplicative factors in the model and are
+perfectly correlated. One or both of these parameters must be held fixed during
+model fitting.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>If the scale is set equal to the particle volume fraction,
+<span style='font-family:Symbol'>f</span>, the returned value is the scattered
+intensity per unit volume, I(q) = <span style='font-family:Symbol'>f</span>*P(q).
+However, no inter-particle interference effects are included in this
+calculation.</p>
+
+<p class=MsoNormal>For 2D data: The 2D scattering intensity is calculated in
+the same way as 1D, where the <i>q</i> vector is defined as<span
+style='font-size:14.0pt'><img border=0 width=82 height=26
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>REFERENCE</p>
+
+<p class=MsoNormal>Pedersen, J. S. and P. Schurtenberger (1996). Scattering
+functions of semiflexible polymers with and without excluded volume effects.
+Macromolecules 29: 7602-7612. </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>Corrections are in:</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>Wei-Ren Chen, Paul D. Butler, and Linda J. Magid,
+&quot;Incorporating Intermicellar Interactions in the Fitting of SANS Data from
+Cationic Wormlike Micelles&quot; Langmuir, August 2006.</p>
+
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
+
+<p class=MsoNormal>TEST DATASET</p>
+
+<p class=MsoNormal>This example dataset is produced by running the Macro FlexCylEllipXModel,
+using 200 data points, qmin = 0.001 Å-1,&nbsp; qmax = 0.7 Å-1 and the default
+values below.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<div align=center>
+
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Parameter name</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Units</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Default value</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>axis_ratio</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'></td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1.5</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>background</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>cm<sup>-1</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>0.0001</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Kuhn_length</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>100</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>(Contour) length</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1e+3</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>radius</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>20.0</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>scale</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'></td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1.0</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldCyl</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1e-6</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>6.3e-6</p>
+  </td>
+ </tr>
+</table>
+
+</div>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=440 height=300 src="../images/html/image107.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
+1D plot using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
 <p class=MsoNormal><b>&nbsp;</b></p>
 
 <p class=MsoNormal><b>&nbsp;</b></p>
 
+<p class=MsoNormal><b>&nbsp;</b></p>
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.10.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="StackedDisksModel"> StackedDisksModel </a></span></b></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>This model provides the form factor, P(<i>q</i>), for stacked
-discs (tactoids) with a core/layer structure where the form factor is
-normalized by the volume of the cylinder.  Assuming the next neighbor distance
-(d-spacing) in a stack of parallel discs obeys a Gaussian distribution, a
-structure factor S(q) proposed by Kratky and Porod in 1949 is used in this
-function. Note that the resolution smearing calculation uses 76 Gauss
-quadrature points to properly smear the model since the function is HIGHLY
-oscillatory, especially around the q-values that correspond to the repeat
-distance of the layers.</p>
+style='font-size:14.0pt'>2.13.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=StackedDisksModel><b><span style='font-size:14.0pt'>StackedDisksModel
+</span></b></a></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This model provides the form factor, P(<i>q</i>), for
+stacked discs (tactoids) with a core/layer structure where the form factor is
+normalized by the volume of the cylinder. &nbsp;Assuming the next neighbor
+distance (d-spacing) in a stack of parallel discs obeys a Gaussian
+distribution, a structure factor S(q) proposed by Kratky and Porod in 1949 is
+used in this function. Note that the resolution smearing calculation uses 76
+Gauss quadrature points to properly smear the model since the function is
+HIGHLY oscillatory, especially around the q-values that correspond to the
+repeat distance of the layers.</p>
 
 <p class=MsoNormal>The 2D scattering intensity is the same as 1D, regardless of
 the orientation of the <i>q</i> vector which is defined as<span
-style='font-size:14.0pt;position:relative;top:8.0pt'><img border=0 width=103
-height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
-
-<p class=MsoNormal><span style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>         <img
-border=0 width=214 height=93 id="Picture 36"
-src="../images/html/image035.png"></p>
+style='font-size:14.0pt'><img border=0 width=68 height=22
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<img border=0 width=214 height=93 src="../images/html/image035.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=173 height=136 id="Picture 37" src="../images/html/image036.png"></p>
+width=173 height=136 src="../images/html/image036.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -3152,80 +3531,68 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:9.0pt'><img border=0 width=514 height=38
-src="../images/html/image037.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=325 height=38 src="../images/html/image037.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>where the contrast,</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:6.0pt'><img border=0 width=115 height=24
-src="../images/html/image038.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>N is the number
-of discs per unit volume, </span><span style='font-family:Symbol;position:relative;
-top:16.0pt'>a</span><span style='position:relative;top:16.0pt'> is the angle
-between the axis of the disc and q, and Vt and Vc are the total volume and the
-core volume of a single disc, respectively.</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:39.0pt'><img border=0 width=424 height=113
-src="../images/html/image039.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=115 height=24 src="../images/html/image038.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>N is the number of discs per unit volume, <span
+style='font-family:Symbol'>a</span>&nbsp;is the angle between the axis of the
+disc and q, and Vt and Vc are the total volume and the core volume of a single
+disc, respectively.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=374 height=113 src="../images/html/image039.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>where d = thickness of the layer (layer_thick), 2h= core
-thickness (core_thick),  and R = radius of the disc (radius).</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:14.0pt'><img border=0 width=399 height=46
-src="../images/html/image040.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>where n = the
-total number of the disc stacked (n_stacking), D=the next neighbor center to
-cent distance (d-spacing), and </span><span style='font-family:Symbol;
-position:relative;top:16.0pt'>s</span><sub><span style='position:relative;
-top:16.0pt'>D</span></sub><span style='position:relative;top:16.0pt'> = the
-Gaussian standard deviation of the d-spacing (sigma_d).</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>To provide easy access to the orientation of the stackeddisks,
-we define the axis of the cylinder using two angles &#952; and <span
+thickness (core_thick),&nbsp; and R = radius of the disc (radius).</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=348 height=46 src="../images/html/image040.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>where n = the total number of the disc stacked (n_stacking),
+D=the next neighbor center to cent distance (d-spacing), and <span
+style='font-family:Symbol'>s</span><sub>D</sub>&nbsp;= the Gaussian standard
+deviation of the d-spacing (sigma_d).</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>To provide easy access to the orientation of the
+stackeddisks, we define the axis of the cylinder using two angles &#952; and <span
 style='font-family:"Arial","sans-serif"'>&#966;</span>. Similarly to the case
 of the cylinder, those angles are defined on Figure 2 of CylinderModel.</p>
 
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'> </span>For P*S:
-The 2<sup>nd</sup> virial coefficient of the solid cylinder is calculate based
-on the (radius) and length = n_stacking*(core_thick +2*layer_thick) values, and
-used as the effective radius toward S(Q) when P(Q)*S(Q) is applied. </p>
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;For P*S: The 2<sup>nd</sup> virial coefficient of the
+solid cylinder is calculate based on the (radius) and length =
+n_stacking*(core_thick +2*layer_thick) values, and used as the effective radius
+toward S(Q) when P(Q)*S(Q) is applied. </p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3237,6 +3604,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -3422,5 +3789,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=451 height=334 id="Picture 233" src="../images/html/image041.png"></p>
+width=451 height=297 src="../images/html/image041.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -3432,5 +3799,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=377 height=215 id="Picture 251" src="../images/html/image042.jpg"
+width=377 height=215 src="../images/html/image042.jpg"
 alt=stackdiskangles.gif></p>
 
@@ -3472,6 +3839,6 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.11.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="ParallelepipedModel">ParallelepipedModel</a></span></b></p>
+style='font-size:14.0pt'>2.14.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=ParallelepipedModel><b><span style='font-size:14.0pt'>ParallelepipedModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3480,10 +3847,10 @@
 cylinder (below) where the form factor is normalized by the volume of the
 cylinder. P(q) = scale*&lt;f^2&gt;/V+background where the volume V= ABC and the
-averaging &lt; &gt;  is applied over all orientation for 1D.  </p>
-
-<p class=MsoNormal><span style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
+averaging &lt; &gt;&nbsp; is applied over all orientation for 1D. &nbsp;</p>
+
+<p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=326 height=247 id="Picture 38" src="../images/html/image043.jpg"></p>
+width=239 height=181 src="../images/html/image043.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -3501,10 +3868,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:48.0pt'><img border=0 width=360 height=145
-src="../images/html/image044.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=347 height=145 src="../images/html/image044.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>The contrast is defined as</p>
@@ -3512,19 +3877,15 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:6.0pt'><img border=0 width=117 height=24
-src="../images/html/image045.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>The scattering
-intensity per unit volume is returned in the unit of [cm<sup>-1</sup>];  I(q) =
-</span><span style='font-family:Symbol;position:relative;top:16.0pt'>f</span><span
-style='position:relative;top:16.0pt'>P(q).</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=117 height=24 src="../images/html/image045.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>The scattering intensity per unit volume is returned in the
+unit of [cm<sup>-1</sup>]; &nbsp;I(q) = <span style='font-family:Symbol'>f</span>P(q).</p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>For P*S: The 2<sup>nd</sup> virial coefficient of the solid
@@ -3537,19 +3898,19 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal>To provide easy access to the orientation of the parallelepiped,
-we define the axis of the cylinder using two angles &#952; , <span
+<p class=MsoNormal>To provide easy access to the orientation of the
+parallelepiped, we define the axis of the cylinder using two angles &#952; , <span
 style='font-family:"Arial","sans-serif"'>&#966; </span>and<span
 style='font-family:"Arial","sans-serif"'> </span><span style='font-family:Symbol'>Y</span><span
 style='font-family:"Arial","sans-serif"'> </span>. Similarly to the case of the
-cylinder, those angles, &#952;  and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
+cylinder, those angles, &#952; &nbsp;and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
 are defined on Figure 2 of CylinderModel. The angle <span style='font-family:
 Symbol'>Y </span>is the rotational angle around its own long_c axis against the
-q plane. For example, <span style='font-family:Symbol'>Y </span>= 0 when the short_b
-axis is parallel to the x-axis of the detector.</p>
+q plane. For example, <span style='font-family:Symbol'>Y </span>= 0 when the
+short_b axis is parallel to the x-axis of the detector.</p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=352 height=264 id="Picture 243" src="../images/html/image046.jpg"
+width=352 height=264 src="../images/html/image046.jpg"
 alt=pprangles.gif></p>
 
@@ -3576,6 +3937,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -3697,5 +4058,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=431 height=332 id="Picture 492" src="../images/html/image048.jpg"></p>
+width=431 height=298 src="../images/html/image048.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -3709,6 +4070,6 @@
 
 <p class=MsoListParagraph style='margin-left:1.35in;text-indent:-.25in'><span
-style='font-family:Symbol'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span><b>Validation of the parallelepiped 2D model</b></p>
+style='font-family:Symbol'>·</span><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span><b>Validation of the parallelepiped 2D model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3717,7 +4078,7 @@
 the 1D calculation to the angular average of the output of 2 D calculation over
 all possible angles. The Figure below shows the comparison where the solid dot
-refers to averaged 2D while the line represents the result of 1D calculation (for
-the averaging, 76, 180, 76 points are taken over the angles of theta, phi, and
-psi respectively).</p>
+refers to averaged 2D while the line represents the result of 1D calculation
+(for the averaging, 76, 180, 76 points are taken over the angles of theta, phi,
+and psi respectively).</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3726,5 +4087,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=481 height=299 id="Picture 693" src="../images/html/image049.png"></p>
+width=441 height=299 src="../images/html/image049.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -3760,6 +4121,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.12.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="EllipticalCylinderModel">Elliptical Cylinder Model</a></span></b></p>
+style='font-size:14.0pt'>2.15.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=EllipticalCylinderModel><b><span style='font-size:14.0pt'>Elliptical
+Cylinder Model</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3783,10 +4145,11 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=352 height=172 id="Picture 40" src="../images/html/image050.png"></p>
+width=297 height=145 src="../images/html/image050.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'><b>Figure. a= r_minor
-and </b><b><span style='font-family:Symbol'>n</span>= r_ratio (i.e., r_major/r_minor).</b></p>
+and </b><b><span style='font-family:Symbol'>n</span>= r_ratio (i.e.,
+r_major/r_minor).</b></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -3796,7 +4159,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=377 height=46
-src="../images/html/image051.png"></span> </p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=346 height=46 src="../images/html/image051.png">&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -3808,7 +4170,7 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:39.0pt'><img border=0 width=297 height=114
-src="../images/html/image052.png"></span>          (13)</p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=297 height=114 src="../images/html/image052.png">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+(13)</p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -3841,14 +4203,14 @@
 style='font-family:"Arial","sans-serif"'> </span><span style='font-family:Symbol'>Y</span><span
 style='font-family:"Arial","sans-serif"'> </span>. Similarly to the case of the
-cylinder, those angles, &#952;  and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
+cylinder, those angles, &#952; &nbsp;and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
 are defined on Figure 2 of CylinderModel. The angle <span style='font-family:
 Symbol'>Y </span>is the rotational angle around its own long_c axis against the
-q plane. For example, <span style='font-family:Symbol'>Y </span>= 0 when the r_minor
-axis is parallel to the x-axis of the detector.</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>All angle parameters are valid and given only for 2D calculation
-(Oriented system).</p>
+q plane. For example, <span style='font-family:Symbol'>Y </span>= 0 when the
+r_minor axis is parallel to the x-axis of the detector.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>All angle parameters are valid and given only for 2D
+calculation (Oriented system).</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3857,5 +4219,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=370 height=277 id="Picture 239" src="../images/html/image053.jpg"
+width=370 height=277 src="../images/html/image053.jpg"
 alt=ellcylinderangles.gif></p>
 
@@ -3869,6 +4231,10 @@
 alt=cylinderangles2.gif></p>
 
-<p class=MsoCaption align=center style='text-align:center'>Figure. Examples of
-the angles for oriented elliptical cylinders against the detector plane.</p>
+<p class=MsoCaption align=center style='text-align:center'><span
+style='font-size:12.0pt'>Figure. Examples of the angles for oriented elliptical
+cylinders </span></p>
+
+<p class=MsoCaption align=center style='text-align:center'><span
+style='font-size:12.0pt'>against the detector plane.</span></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -3878,6 +4244,6 @@
 <p class=MsoNormal><b>For P*S</b>: The 2<sup>nd</sup> virial coefficient of the
 solid cylinder is calculate based on the averaged radius
-(=sqrt(r_minor^2*r_ratio))  and length values, and used as the effective radius
-toward S(Q) when P(Q)*S(Q) is applied. </p>
+(=sqrt(r_minor^2*r_ratio))&nbsp; and length values, and used as the effective
+radius toward S(Q) when P(Q)*S(Q) is applied. </p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -3887,6 +4253,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -4056,5 +4422,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=443 height=328 id="Picture 503" src="../images/html/image054.jpg"></p>
+width=443 height=293 src="../images/html/image054.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -4066,6 +4432,6 @@
 
 <p class=MsoListParagraph style='margin-left:1.35in;text-indent:-.25in'><span
-style='font-family:Symbol'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span><b>Validation of the elliptical cylinder 2D model</b></p>
+style='font-family:Symbol'>·</span><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span><b>Validation of the elliptical cylinder 2D model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4074,7 +4440,7 @@
 the 1D calculation to the angular average of the output of 2 D calculation over
 all possible angles. The Figure below shows the comparison where the solid dot
-refers to averaged 2D while the line represents the result of 1D calculation (for
-2D averaging, 76, 180, 76 points are taken for the angles of theta, phi, and
-psi respectively).</p>
+refers to averaged 2D while the line represents the result of 1D calculation
+(for 2D averaging, 76, 180, 76 points are taken for the angles of theta, phi,
+and psi respectively).</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4083,5 +4449,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=448 height=278 id="Picture 692" src="../images/html/image055.png"></p>
+width=448 height=278 src="../images/html/image055.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -4091,16 +4457,17 @@
 
 <p class=MsoNormal style='text-autospace:none'>In the 2D average, more binning
-in the angle phi is necessary to get the proper result. The following figure
-shows the results of the averaging by varying the number of bin over angles.</p>
+in the angle phi is necessary to get the proper result. The following figure shows
+the results of the averaging by varying the number of bin over angles.</p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><img
-border=0 width=409 height=303 id="Picture 690"
-src="../images/html/image056.png"></p>
+border=0 width=409 height=303 src="../images/html/image056.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
-The intensities averaged from 2D over different number of points of binning of
-angles.</b></p>
+The intensities averaged from 2D over different number </b></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>of
+points of binning of angles.</b></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'>&nbsp;</p>
@@ -4112,7 +4479,7 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='text-indent:.25in'>L. A. Feigin and D. I. Svergun
-Structure Analysis by Small-Angle X-Ray and Neutron Scattering, Plenum, New
-York, (1987).</p>
+<p class=MsoNormal style='text-indent:.25in'>L. A. Feigin and D. I. Svergun Structure
+Analysis by Small-Angle X-Ray and Neutron Scattering, Plenum, New York,
+(1987).</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4121,6 +4488,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.13.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="EllipsoidModel">Ellipsoid Model</a></span></b></p>
+style='font-size:14.0pt'>2.16.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=EllipsoidModel><b><span style='font-size:14.0pt'>Ellipsoid
+Model</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4132,6 +4500,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Definition</b></p>
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4144,22 +4512,18 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoCaption align=center style='text-align:center'><span
-style='position:relative;top:12.0pt'><img border=0 width=184 height=41
-src="../images/html/image017.png"></span>   <span style='font-size:12.0pt;
-font-weight:normal'>(8)</span></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoCaption align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=371 height=47
-src="../images/html/image057.png"></span>    <span style='font-size:
-12.0pt;font-weight:normal'>(9)</span></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoCaption align=center style='text-align:center'><span
-style='position:relative;top:6.0pt'><img border=0 width=272 height=29
-src="../images/html/image058.png"></span>     <span style='font-size:
-12.0pt;font-weight:normal'>(10)</span></p>
+<p class=MsoCaption align=center style='text-align:center'><img border=0
+width=184 height=41 src="../images/html/image017.png">&nbsp;&nbsp; </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoCaption align=center style='text-align:center'><img border=0
+width=340 height=47 src="../images/html/image057.png">&nbsp;&nbsp;&nbsp;
+</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoCaption align=center style='text-align:center'><img border=0
+width=272 height=29 src="../images/html/image058.png">&nbsp;&nbsp;&nbsp;&nbsp;
+</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4202,6 +4566,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.85pt'>
   <td width=180 valign=top style='width:135.1pt;border:solid windowtext 1.0pt;
@@ -4269,5 +4633,5 @@
   <td width=180 valign=top style='width:135.1pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.85pt'>
-  <p class=MsoBodyText>contrast</p>
+  <p class=MsoBodyText>sldEll</p>
   </td>
   <td width=105 valign=top style='width:78.9pt;border-top:none;border-left:
@@ -4279,5 +4643,21 @@
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:19.85pt'>
-  <p class=MsoBodyText>3.0e-6</p>
+  <p class=MsoBodyText>4.0e-6</p>
+  </td>
+ </tr>
+ <tr style='height:19.85pt'>
+  <td width=180 valign=top style='width:135.1pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.85pt'>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=105 valign=top style='width:78.9pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.85pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.85pt'>
+  <p class=MsoBodyText>1.0e-6</p>
   </td>
  </tr>
@@ -4295,5 +4675,5 @@
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:19.85pt'>
-  <p class=MsoBodyText>0.0</p>
+  <p class=MsoBodyText>0.0 </p>
   </td>
  </tr>
@@ -4337,5 +4717,5 @@
 
 <p class=MsoNormal>The output of the 1D scattering intensity function for
-randomly oriented ellipsoids is then given by equation 6.</p>
+randomly oriented ellipsoids is then given by the equation above.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4351,29 +4731,33 @@
 alt=ellipsoangles.gif></p>
 
-<p class=MsoCaption align=center style='text-align:center'>Figure. Examples of
-the angles for oriented ellipsoid against the detector plane.</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
-
-<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></b><b>Validation
-of the ellipsoid model</b></p>
+<p class=MsoCaption align=center style='text-align:center'><span
+style='font-size:12.0pt'>Figure. Examples of the angles for oriented ellipsoid </span></p>
+
+<p class=MsoCaption align=center style='text-align:center'><span
+style='font-size:12.0pt'>against the detector plane</span>.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>2.1.</b><b><span
+style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Validation of the
+ellipsoid model</b></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>Validation of our code was done by comparing the output of
-the 1D model to the output of the software provided by the NIST (Kline, 2006). Figure
-5 shows a comparison of the 1D output of our model and the output of the NIST
-software.</p>
+the 1D model to the output of the software provided by the NIST (Kline, 2006).
+Figure 5 shows a comparison of the 1D output of our model and the output of the
+NIST software.</p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>Averaging over a distribution of orientation is done by
-evaluating equation 7. Since we have no other software to compare the
+evaluating the equation above. Since we have no other software to compare the
 implementation of the intensity for fully oriented ellipsoids, we can compare
 the result of averaging our 2D output using a uniform distribution <i>p(&#952;,</i><i><span
-style='font-family:"Arial","sans-serif"'>&#966;</span>)</i> = 1.0.  Figure 6 shows the result of such a cross-check.</p>
+style='font-family:"Arial","sans-serif"'>&#966;</span>)</i> = 1.0.&nbsp; Figure
+6 shows the result of such a cross-check.</p>
 
 <p class=MsoNormal align=center style='text-align:center'><b><i><span
@@ -4383,14 +4767,14 @@
 way the form factors are calculated in the c-library provided by NIST. A
 numerical integration has to be performed to obtain P(q) for randomly oriented
-particles (equation 6). The NIST software performs that integration with a
-76-point Gaussian quadrature rule, which will become imprecise at high q where
-the amplitude varies quickly as a function of q. The DANSE result shown has been
-obtained by summing over 501 equidistant points in <span style='font-family:
-"Arial","sans-serif"'>&#945;</span>. Our result was found to be stable over the
-range of q shown for a number of points higher than 500.</p>
+particles. The NIST software performs that integration with a 76-point Gaussian
+quadrature rule, which will become imprecise at high q where the amplitude
+varies quickly as a function of q. The DANSE result shown has been obtained by
+summing over 501 equidistant points in <span style='font-family:"Arial","sans-serif"'>&#945;</span>.
+Our result was found to be stable over the range of q shown for a number of
+points higher than 500.</p>
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><b><img
-border=0 width=469 height=258 id="Picture 16"
-src="../images/html/image060.jpg" alt="ellipsoid_1D_validation"></b></p>
+border=0 width=449 height=258 src="../images/html/image060.jpg"
+alt="ellipsoid_1D_validation"></b></p>
 
 <p class=MsoCaption><a name="_Ref173222904">Figure </a>5: Comparison of the
@@ -4407,6 +4791,6 @@
 
 <p class=MsoNormal align=center style='text-align:center;page-break-after:avoid'><img
-border=0 width=450 height=247 id="Picture 17"
-src="../images/html/image061.jpg" alt="ellipsoid_2D_average"></p>
+border=0 width=426 height=247 src="../images/html/image061.jpg"
+alt="ellipsoid_2D_average"></p>
 
 <p class=MsoCaption><a name="_Ref173223004">Figure </a>6: Comparison of the
@@ -4428,9 +4812,8 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.14.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="CoreShellEllipsoidModel"> CoreShellEllipsoidModel </a></span></b></p>
+style='font-size:14.0pt'>2.17.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=CoreShellEllipsoidModel><b><span style='font-size:14.0pt'>CoreShellEllipsoidModel
+</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4439,12 +4822,13 @@
 shell ellipsoid (below) where the form factor is normalized by the volume of
 the cylinder. P(q) = scale*&lt;f^2&gt;/V+background where the volume V= 4pi/3*r<sub>maj</sub>*r<sub>min</sub><sup>2</sup>
-and the averaging &lt; &gt;  is applied over all orientation for 1D.  </p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>   <img border=0
-width=246 height=131 id="Picture 41" src="../images/html/image062.png"></p>
+and the averaging &lt; &gt;&nbsp; is applied over all orientation for 1D.
+&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;&nbsp; <img
+border=0 width=246 height=131 src="../images/html/image062.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
@@ -4461,10 +4845,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:48.0pt'><img border=0 width=334 height=137
-src="../images/html/image063.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=334 height=137 src="../images/html/image063.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4475,5 +4857,5 @@
 ellipsoid, we define the axis of the solid ellipsoid using two angles &#952; , <span
 style='font-family:"Arial","sans-serif"'>&#966;</span>. Similarly to the case
-of the cylinder, those angles, &#952;  and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
+of the cylinder, those angles, &#952; &nbsp;and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
 are defined on Figure 2 of CylinderModel. </p>
 
@@ -4486,10 +4868,10 @@
 radius of the shell).</p>
 
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>For P*S: The 2<sup>nd</sup> virial coefficient of the solid
-ellipsoid is calculate based on the radius_a (= polar_shell) and radius_b (= equat_shell)
-values, and used as the effective radius toward S(Q) when P(Q)*S(Q) is applied.
-</p>
+ellipsoid is calculate based on the radius_a (= polar_shell) and radius_b (=
+equat_shell) values, and used as the effective radius toward S(Q) when
+P(Q)*S(Q) is applied. </p>
 
 <p class=MsoNormal><sub>&nbsp;</sub></p>
@@ -4497,6 +4879,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -4626,13 +5008,28 @@
  </tr>
  <tr style='height:18.8pt'>
-  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
-  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>contrast</p>
-  </td>
-  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_core</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:none;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
   <p class=MsoBodyText>Å<sup> -2</sup></p>
   </td>
+  <td width=143 valign=top style='width:107.0pt;border:none;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>2e-006</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sld_shell</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
   none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
@@ -4650,5 +5047,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=426 height=333 id="Picture 526" src="../images/html/image064.jpg"></p>
+width=424 height=243 src="../images/html/image108.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -4660,5 +5057,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=396 height=297 id="Picture 245" src="../images/html/image059.jpg"
+width=396 height=297 src="../images/html/image059.jpg"
 alt=ellipsoangles.gif></p>
 
@@ -4678,5 +5075,5 @@
 <p class=MsoNormal>Kotlarchyk, M.; Chen, S.-H. J. Chem. Phys., 1983, 79, 2461.</p>
 
-<p class=MsoNormal>Berr, S.  J. Phys. Chem., 1987, 91, 4760.</p>
+<p class=MsoNormal>Berr, S.&nbsp; J. Phys. Chem., 1987, 91, 4760.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4691,26 +5088,25 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.15.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="TriaxialEllipsoidModel">TriaxialEllipsoidModel</a></span></b></p>
+style='font-size:14.0pt'>2.18.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=TriaxialEllipsoidModel><b><span style='font-size:14.0pt'>TriaxialEllipsoidModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>This model provides the form factor, P(<i>q</i>), for an
-ellipsoid (below) where all three axes are of different lengths, i.e.,  R<sub>a</sub>
+ellipsoid (below) where all three axes are of different lengths, i.e.,&nbsp; R<sub>a</sub>
 =&lt; R<sub>b</sub> =&lt; R<sub>c</sub> (Note that users should maintains this
-inequality for the all calculations).  P(q) = scale*&lt;f^2&gt;/V+background
-where the volume V= 4pi/3*R<sub>a</sub>*R<sub>b</sub>*R<sub>c</sub>, and the
-averaging &lt; &gt;  is applied over all orientation for 1D.  </p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>   <img border=0
-width=261 height=157 id="Picture 42" src="../images/html/image065.jpg"></p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+inequality for the all calculations).&nbsp; P(q) =
+scale*&lt;f^2&gt;/V+background where the volume V= 4pi/3*R<sub>a</sub>*R<sub>b</sub>*R<sub>c</sub>,
+and the averaging &lt; &gt;&nbsp; is applied over all orientation for 1D.
+&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;&nbsp; <img
+border=0 width=261 height=157 src="../images/html/image065.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;&nbsp;</p>
 
 <p class=MsoNormal>The returned value is in units of [cm<sup>-1</sup>], on
@@ -4721,43 +5117,41 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:33.0pt'><img border=0 width=472 height=97
-src="../images/html/image066.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>To provide easy access to the orientation of the triaxial
-ellipsoid, we define the axis of the cylinder using the angles &#952; , <span
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=396 height=97 src="../images/html/image066.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>To provide easy access to the orientation of the triaxial ellipsoid,
+we define the axis of the cylinder using the angles &#952; , <span
 style='font-family:"Arial","sans-serif"'>&#966; </span>and<span
 style='font-family:"Arial","sans-serif"'> </span><span style='font-family:Symbol'>Y</span><span
 style='font-family:"Arial","sans-serif"'> </span>. Similarly to the case of the
-cylinder, those angles, &#952;  and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
+cylinder, those angles, &#952; &nbsp;and <span style='font-family:"Arial","sans-serif"'>&#966;,</span>
 are defined on Figure 2 of CylinderModel. The angle <span style='font-family:
 Symbol'>Y </span>is the rotational angle around its own semi_axisC axis against
-the q plane. For example, <span style='font-family:Symbol'>Y </span>= 0 when the
-semi_axisA axis is parallel to the x-axis of the detector.</p>
+the q plane. For example, <span style='font-family:Symbol'>Y </span>= 0 when
+the semi_axisA axis is parallel to the x-axis of the detector.</p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>The radius of gyration for this system is R<sub>g</sub><sup>2</sup>
-= (R<sub>a</sub><sup>2</sup>*R<sub>b</sub><sup>2</sup>*R<sub>c</sub><sup>2</sup>)/5. 
-The contrast is defined as SLD(ellipsoid)  SLD(solvent). In the parameters, semi_axisA
-= R<sub>a</sub> (or minor equatorial radius), semi_axisB = R<sub>b</sub> (or
-major equatorial radius), and semi_axisC = R<sub>c</sub> (or polar radius of
-the ellipsoid).</p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
+= (R<sub>a</sub><sup>2</sup>*R<sub>b</sub><sup>2</sup>*R<sub>c</sub><sup>2</sup>)/5.&nbsp;
+The contrast is defined as SLD(ellipsoid)  SLD(solvent). In the parameters,
+semi_axisA = R<sub>a</sub> (or minor equatorial radius), semi_axisB = R<sub>b</sub>
+(or major equatorial radius), and semi_axisC = R<sub>c</sub> (or polar radius
+of the ellipsoid).</p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>For P*S: The 2<sup>nd</sup> virial coefficient of the solid
-ellipsoid is calculate based on the radius_a (=semi_axisC) and radius_b (=sqrt(semi_axisA*
-semi_axisB))  values, and used as the effective radius toward S(Q) when
-P(Q)*S(Q) is applied. </p>
+ellipsoid is calculate based on the radius_a (=semi_axisC) and radius_b
+(=sqrt(semi_axisA* semi_axisB)) &nbsp;values, and used as the effective radius
+toward S(Q) when P(Q)*S(Q) is applied. </p>
 
 <p class=MsoNormal><sub>&nbsp;</sub></p>
@@ -4767,6 +5161,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -4864,17 +5258,32 @@
  </tr>
  <tr style='height:18.8pt'>
-  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
-  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>contrast</p>
-  </td>
-  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  solid windowtext 1.0pt;border-bottom:none;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldEll</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:none;border-right:solid windowtext 1.0pt;
   padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
   <p class=MsoBodyText>Å<sup> -2</sup></p>
   </td>
-  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
-  <p class=MsoBodyText>5e-006</p>
+  <td width=143 valign=top style='width:107.0pt;border:none;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>1.0e-006</p>
+  </td>
+ </tr>
+ <tr style='height:18.8pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>sldSolv</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>Å<sup> -2</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:18.8pt'>
+  <p class=MsoBodyText>6.3e-006</p>
   </td>
  </tr>
@@ -4888,5 +5297,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=439 height=341 id="Picture 545" src="../images/html/image067.png"></p>
+width=441 height=282 src="../images/html/image109.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -4898,15 +5307,15 @@
 
 <p class=MsoListParagraph style='margin-left:1.35in;text-indent:-.25in'><span
-style='font-family:Symbol'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span><b>Validation of the triaxialellipsoid 2D model</b></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>Validation of our code was done by comparing the output of
-the 1D calculation to the angular average of the output of 2 D calculation over
-all possible angles. The Figure below shows the comparison where the solid dot
-refers to averaged 2D while the line represents the result of 1D calculation (for
-2D averaging, 76, 180, 76 points are taken for the angles of theta, phi, and
-psi respectively).</p>
+style='font-family:Symbol'>·</span><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span><b>Validation of the triaxialellipsoid 2D model</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>Validation of our code was done by comparing the output of the
+1D calculation to the angular average of the output of 2 D calculation over all
+possible angles. The Figure below shows the comparison where the solid dot
+refers to averaged 2D while the line represents the result of 1D calculation
+(for 2D averaging, 76, 180, 76 points are taken for the angles of theta, phi,
+and psi respectively).</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4915,5 +5324,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=438 height=272 id="Picture 691" src="../images/html/image068.png"></p>
+width=438 height=272 src="../images/html/image068.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -4925,5 +5334,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=396 height=297 id="Picture 248" src="../images/html/image069.jpg"
+width=396 height=297 src="../images/html/image069.jpg"
 alt=triellrangles.gif></p>
 
@@ -4952,6 +5361,6 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.16.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="LamellarModel">LamellarModel</a></span></b></p>
+style='font-size:14.0pt'>2.19.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=LamellarModel><b><span style='font-size:14.0pt'>LamellarModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -4959,5 +5368,5 @@
 <p class=MsoNormal>This model provides the scattering intensity, I(<i>q</i>),
 for a lyotropic lamellar phase where a uniform SLD and random distribution in
-solution are assumed.  The ploydispersion in the bilayer thickness can be
+solution are assumed. &nbsp;The ploydispersion in the bilayer thickness can be
 applied from the GUI.</p>
 
@@ -4968,7 +5377,6 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=103 height=46
-src="../images/html/image070.png"></span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=103 height=46 src="../images/html/image070.png"></p>
 
 <p class=MsoNormal>The form factor is,</p>
@@ -4976,10 +5384,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=174 height=48
-src="../images/html/image071.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=174 height=48 src="../images/html/image071.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>where <span style='font-family:Symbol'>d</span> = bilayer
@@ -4987,10 +5393,9 @@
 
 <p class=MsoNormal>The 2D scattering intensity is calculated in the same way as
-1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt;
-position:relative;top:8.0pt'><img border=0 width=103 height=33
-src="../images/html/image010.png"></span><span style='font-size:14.0pt;
-position:relative;top:6.0pt'>.</span></p>
-
-<p class=MsoNormal><span style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
+1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt'><img
+border=0 width=69 height=22 src="../images/html/image010.png"></span><span
+style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal>The returned value is in units of [cm<sup>-1</sup>], on
@@ -5004,6 +5409,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -5109,5 +5514,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=476 height=351 id="Picture 571" src="../images/html/image072.png"></p>
+width=457 height=275 src="../images/html/image072.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -5128,6 +5533,6 @@
 487-502.</p>
 
-<p class=MsoNormal>            also in J. Phys. Chem. B, 105, (2001)
-11081-11088.</p>
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+also in J. Phys. Chem. B, 105, (2001) 11081-11088.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5139,9 +5544,7 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.17.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="LamellarFFHGModel">LamellarFFHGModel</a></span></b></p>
+style='font-size:14.0pt'>2.20.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=LamellarFFHGModel><b><span style='font-size:14.0pt'>LamellarFFHGModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5149,6 +5552,6 @@
 <p class=MsoNormal>This model provides the scattering intensity, I(<i>q</i>),
 for a lyotropic lamellar phase where a random distribution in solution are
-assumed.  The SLD of the head region is taken to be different from the SLD of
-the tail region.</p>
+assumed. &nbsp;The SLD of the head region is taken to be different from the SLD
+of the tail region.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5160,9 +5563,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=151 height=46
-src="../images/html/image073.png"></span></p>
-
-
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=151 height=46 src="../images/html/image073.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>The form factor is,</p>
@@ -5170,24 +5572,25 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=398 height=46
-src="../images/html/image078.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>where delta<sub>T</sub>
-= tail length (or t_length), delta<sub>H</sub>
-= head thickness (or h_thickness) , <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i><sub>H</sub>
-= SLD (headgroup) - SLD(solvent), and <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i><sub>T</sub>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=398 height=46 src="../images/html/image078.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>where <span style='font-family:Symbol'>d<sub>T</sub></span>
+= tail length (or t_length), <span style='font-family:Symbol'>d<sub>H</sub></span>
+= heasd thickness (or h_thickness) , <span style='font-family:Symbol'>Dr</span><sub>H</sub>
+= SLD (headgroup) - SLD(solvent), and <span style='font-family:Symbol'>Dr</span><sub>T</sub>
 = SLD (tail) - SLD(headgroup).</p>
 
+<p class=MsoNormal>&nbsp;</p>
+
 <p class=MsoNormal>The 2D scattering intensity is calculated in the same way as
-1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt;
-position:relative;top:8.0pt'><img border=0 width=103 height=33
-src="../images/html/image010.png"></span><span style='font-size:14.0pt;
-position:relative;top:6.0pt'>.</span></p>
-
-<p class=MsoNormal><span style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
+1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt'><img
+border=0 width=71 height=23 src="../images/html/image010.png"></span><span
+style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal>The returned value is in units of [cm<sup>-1</sup>], on
@@ -5201,6 +5604,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -5338,5 +5741,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=444 height=343 src="../images/html/image079.png"></p>
+width=444 height=279 src="../images/html/image079.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -5357,10 +5760,11 @@
 487-502.</p>
 
-<p class=MsoNormal>            also in J. Phys. Chem. B, 105, (2001)
-11081-11088.</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+also in J. Phys. Chem. B, 105, (2001) 11081-11088.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
 <p class=MsoNormal>&nbsp;</p>
 
@@ -5369,14 +5773,13 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.18.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="LamellarPSModel">LamellarPSModel</a></span></b></p>
+style='font-size:14.0pt'>2.21.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=LamellarPSModel><b><span style='font-size:14.0pt'>LamellarPSModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>This model provides the scattering intensity (<b>form factor</b>
-<b>*</b> <b>structure factor</b>), I(<i>q</i>), for a lyotropic lamellar phase where
-a random distribution in solution are assumed.  </p>
+<b>*</b> <b>structure factor</b>), I(<i>q</i>), for a lyotropic lamellar phase
+where a random distribution in solution are assumed.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5386,12 +5789,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=133 height=46
-src="../images/html/image077.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=133 height=46 src="../images/html/image077.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>The form factor is</p>
@@ -5401,40 +5800,33 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=174 height=48
-src="../images/html/image071.png"></span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>And the structure
-is </span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=334 height=51
-src="../images/html/image074.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>where </span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:50.0pt'><img border=0 width=252 height=133
-src="../images/html/image075.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>Here d= (repeat) spacing, delta
-= bilayer thickness, the contrast <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i> =
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=174 height=48 src="../images/html/image071.png"></p>
+
+<p class=MsoNormal>and the structure is </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=308 height=51 src="../images/html/image074.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>where </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=252 height=133 src="../images/html/image075.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>Here d= (repeat) spacing, <span style='font-family:Symbol'>d</span>
+= bilayer thickness, the contrast <span style='font-family:Symbol'>Dr</span> =
 SLD (headgroup) - SLD(solvent), K=smectic bending elasticity, B=compression
 modulus, and N = number of lamellar plates (n_plates).</p>
@@ -5447,8 +5839,7 @@
 
 <p class=MsoNormal>The 2D scattering intensity is calculated in the same way as
-1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt;
-position:relative;top:8.0pt'><img border=0 width=103 height=33
-src="../images/html/image010.png"></span><span style='font-size:14.0pt;
-position:relative;top:6.0pt'>.</span></p>
+1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt'><img
+border=0 width=82 height=26 src="../images/html/image010.png"></span><span
+style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>The returned value is in units of [cm<sup>-1</sup>], on
@@ -5461,6 +5852,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -5598,5 +5989,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=439 height=348 id="Picture 659" src="../images/html/image076.jpg"></p>
+width=439 height=287 src="../images/html/image076.jpg"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -5617,12 +6008,10 @@
 487-502.</p>
 
-<p class=MsoNormal>            also in J. Phys. Chem. B, 105, (2001)
-11081-11088.</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+also in J. Phys. Chem. B, 105, (2001) 11081-11088.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5632,15 +6021,14 @@
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>2.19.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="LamellarPSHGModel">LamellarPSHGModel</a></span></b></p>
+style='font-size:14.0pt'>2.22.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=LamellarPSHGModel><b><span style='font-size:14.0pt'>LamellarPSHGModel</span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>This model provides the scattering intensity (<b>form factor</b>
-<b>*</b> <b>structure factor</b>), I(<i>q</i>), for a lyotropic lamellar phase where
-a random distribution in solution are assumed.  The SLD of the head region is
-taken to be different from the SLD of the tail region.</p>
+<b>*</b> <b>structure factor</b>), I(<i>q</i>), for a lyotropic lamellar phase
+where a random distribution in solution are assumed. &nbsp;The SLD of the head
+region is taken to be different from the SLD of the tail region.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5650,10 +6038,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=133 height=46
-src="../images/html/image077.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=133 height=46 src="../images/html/image077.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>The form factor is,</p>
@@ -5661,10 +6047,8 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:15.0pt'><img border=0 width=398 height=46
-src="../images/html/image078.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=343 height=46 src="../images/html/image078.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal>The structure factor is</p>
@@ -5672,33 +6056,28 @@
 <p class=MsoNormal>&nbsp;</p>
 
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'><img border=0 width=334 height=51
-src="../images/html/image074.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>where </span></p>
-
-<p class=MsoNormal><span style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:50.0pt'><img border=0 width=252 height=133
-src="../images/html/image075.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='position:relative;top:16.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>where delta<sub>T</sub>
-= tail length (or t_length), delta<sub>H</sub>
-= head thickness (or h_thickness) , <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i><sub>H</sub>
-= SLD (headgroup) - SLD(solvent), and <i><span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;</i><sub>T</sub>
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=334 height=51 src="../images/html/image074.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>where </p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=252 height=133 src="../images/html/image075.png"></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>where <span style='font-family:Symbol'>d<sub>T</sub></span>
+= tail length (or t_length), <span style='font-family:Symbol'>d<sub>H</sub></span>
+= heasd thickness (or h_thickness) , <span style='font-family:Symbol'>Dr</span><sub>H</sub>
+= SLD (headgroup) - SLD(solvent), and <span style='font-family:Symbol'>Dr</span><sub>T</sub>
 = SLD (tail) - SLD(headgroup). Here d= (repeat) spacing, K=smectic bending
 elasticity, B=compression modulus, and N = number of lamellar plates
@@ -5714,10 +6093,9 @@
 
 <p class=MsoNormal>The 2D scattering intensity is calculated in the same way as
-1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt;
-position:relative;top:8.0pt'><img border=0 width=103 height=33
-src="../images/html/image010.png"></span><span style='font-size:14.0pt;
-position:relative;top:6.0pt'>.</span></p>
-
-<p class=MsoNormal><span style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
+1D, where the <i>q</i> vector is defined as<span style='font-size:14.0pt'><img
+border=0 width=70 height=22 src="../images/html/image010.png"></span><span
+style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal>The returned value is in units of [cm<sup>-1</sup>], on
@@ -5731,6 +6109,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:18.8pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -5916,5 +6294,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=463 height=360 id="Picture 687" src="../images/html/image080.png"></p>
+width=453 height=298 src="../images/html/image080.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -5935,6 +6313,6 @@
 487-502.</p>
 
-<p class=MsoNormal>            also in J. Phys. Chem. B, 105, (2001)
-11081-11088.</p>
+<p class=MsoNormal>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+also in J. Phys. Chem. B, 105, (2001) 11081-11088.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -5953,6 +6331,7 @@
 
 <p class=MsoNormal style='margin-left:.25in;text-indent:-.25in'><b><span
-style='font-size:16.0pt'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:16.0pt'><a name="Shape-Independent">Shape-Independent Models </a></span></b></p>
+style='font-size:16.0pt'>3.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;
+</span></b><a name=Shape-Independent><b><span style='font-size:16.0pt'>Shape-Independent
+Models </span></b></a></p>
 
 <p class=MsoBodyText>&nbsp;</p>
@@ -5964,6 +6343,6 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Debye">Debye (Model)</a></span></b></p>
+style='font-size:14.0pt'>3.1.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name=Debye>Debye (Model)</a></span></b></p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
@@ -5979,17 +6358,16 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:27.0pt'><img border=0 width=188
-height=76 src="../images/html/image081.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:27.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'><img border=0 width=188 height=76
+src="../images/html/image081.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
 style='font-size:14.0pt'>&nbsp;</span></p>
 
-<p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+<p class=MsoNormal align=center style='text-align:center'><span
+style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is defined
+as <span style='font-size:14.0pt'><img border=0 width=73 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
@@ -5997,6 +6375,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6016,5 +6394,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Scale</p>
+  <p class=MsoBodyText>scale</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6032,5 +6410,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Rg</p>
+  <p class=MsoBodyText>rg</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6048,5 +6426,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Background</p>
+  <p class=MsoBodyText>background</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6061,20 +6439,4 @@
   </td>
  </tr>
- <tr style='height:19.25pt'>
-  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
-  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>&nbsp;</p>
-  </td>
-  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>&nbsp;</p>
-  </td>
-  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>&nbsp;</p>
-  </td>
- </tr>
 </table>
 
@@ -6083,13 +6445,24 @@
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
 
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><img
+border=0 width=423 height=273 src="../images/html/image110.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
+1D plot using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
+
 <p class=MsoNormal style='margin-left:.25in'>Reference: Roe, R.-J.,
-&quot;Methods of X-Ray and Neutron Scattering in Polymer Science&quot;, Oxford University Press, New York (2000).</p>
+&quot;Methods of X-Ray and Neutron Scattering in Polymer Science&quot;, Oxford
+University Press, New York (2000).</p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Lorentz">(Ornstein-Zernicke) Lorentz
-(Model)</a></span></b></p>
+style='font-size:14.0pt'>3.2.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name=Lorentz>(Ornstein-Zernicke)
+Lorentz (Model)</a></span></b></p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
@@ -6101,18 +6474,17 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:5.0pt'><img border=0 width=212
-height=24 src="../images/html/image082.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=212 height=24
+src="../images/html/image082.png"></span></p>
 
 <p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
 
-<p class=MsoNormal style='text-indent:.25in'>The parameter L is referred to as
-the screening length.</p>
+<p class=MsoNormal style='text-indent:.25in'>The parameter L is referred to as the
+screening length.</p>
 
 <p class=MsoNormal style='text-indent:.25in'>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=103 height=33
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal style='text-indent:.25in'>&nbsp;</p>
@@ -6122,6 +6494,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6141,5 +6513,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Scale</p>
+  <p class=MsoBodyText>scale</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6157,5 +6529,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Length</p>
+  <p class=MsoBodyText>length</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6173,5 +6545,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Background</p>
+  <p class=MsoBodyText>background</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6192,30 +6564,38 @@
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
+<p class=MsoNormal align=center style='text-align:center'><b><span
+style='font-size:14.0pt'><img border=0 width=422 height=273
+src="../images/html/image111.jpg"></span></b></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span
+style='font-size:14.0pt'>&nbsp;</span>Figure. 1D plot using the default values
+(w/200 data point).</b></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
-<p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="DAB_Model">DAB (Debye-Anderson-Brumberger)_Model</a></span></b></p>
+style='font-size:14.0pt'>3.3.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name="DAB_Model">DAB
+(Debye-Anderson-Brumberger)_Model</a></span></b></p>
 
 <p class=MsoNormal style='margin-left:.55in'><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>Calculates the
-scattering from a randomly distributed, two-phase system based on the
-Debye-Anderson-Brumberger (DAB) model for such systems. The two-phase system is
-characterized by a single length scale, the correlation length, which is a
-measure of the average spacing between regions of phase 1 and phase 2. The
-model also assumes smooth interfaces between the phases and hence exhibits
-Porod behavior (I ~ Q<sup>-4</sup>) at large Q (Q*correlation length &gt;&gt;
-1). </p>
+scattering from a randomly distributed, two-phase system based on the Debye-Anderson-Brumberger
+(DAB) model for such systems. The two-phase system is characterized by a single
+length scale, the correlation length, which is a measure of the average spacing
+between regions of phase 1 and phase 2. The model also assumes smooth interfaces
+between the phases and hence exhibits Porod behavior (I ~ Q<sup>-4</sup>) at
+large Q (Q*correlation length &gt;&gt; 1). </p>
 
 <p class=MsoNormal style='text-indent:.25in'>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:5.0pt'><img border=0 width=221
-height=28 src="../images/html/image083.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=221 height=28
+src="../images/html/image083.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
@@ -6231,7 +6611,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=75 height=24
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
@@ -6242,6 +6621,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6261,5 +6640,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Scale</p>
+  <p class=MsoBodyText>scale</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6277,5 +6656,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Length</p>
+  <p class=MsoBodyText>length</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6293,5 +6672,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Background</p>
+  <p class=MsoBodyText>background</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6311,4 +6690,16 @@
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
+
+<p class=MsoNormal align=center style='text-align:center'><b><span
+style='font-size:14.0pt'><img border=0 width=450 height=285
+src="../images/html/image112.jpg"></span></b></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span
+style='font-size:14.0pt'>&nbsp;</span>Figure. 1D plot using the default values
+(w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>References: </p>
@@ -6328,6 +6719,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Power_Law"> Power_Law </a></span></b></p>
+style='font-size:14.0pt'>3.4.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name="Absolute Power_Law">
+Power_Law </a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -6339,6 +6731,6 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:5.0pt'><img border=0 width=149
-height=24 src="../images/html/image084.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=149 height=24
+src="../images/html/image084.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
@@ -6356,6 +6748,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6426,4 +6818,10 @@
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=416 height=259 src="../images/html/image113.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center'><b>Figure. 1D plot
+using the default values (w/200 data point).</b></p>
+
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
@@ -6431,6 +6829,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Teubner Strey">Teubner Strey (Model)</a></span></b></p>
+style='font-size:14.0pt'>3.5.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name="Teubner Strey">Teubner
+Strey (Model)</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -6442,6 +6841,6 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:15.0pt'><img border=0 width=213
-height=45 src="../images/html/image085.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=213 height=45
+src="../images/html/image085.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
@@ -6452,7 +6851,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=73 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
@@ -6460,6 +6858,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6479,5 +6877,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>A</p>
+  <p class=MsoBodyText>scale</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6495,5 +6893,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>C1</p>
+  <p class=MsoBodyText>c1</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6511,5 +6909,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>C2</p>
+  <p class=MsoBodyText>c2</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6527,5 +6925,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Background</p>
+  <p class=MsoBodyText>background</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6545,4 +6943,12 @@
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
+
+<p class=MsoNormal align=center style='text-align:center'><img border=0
+width=426 height=275 src="../images/html/image114.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center'><b>Figure. 1D plot
+using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>References: </p>
@@ -6563,6 +6969,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Number Density Fractal">Number Density Fractal (Model)</a></span></b></p>
+style='font-size:14.0pt'>3.6.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a
+name="Number_Density_Fractal"> </a><a name=FractalModel>FractalModel</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -6577,9 +6984,9 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:85.0pt'><img border=0 width=332
-height=188 src="../images/html/image086.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=332 height=188
+src="../images/html/image086.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:85.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
@@ -6597,12 +7004,12 @@
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
 
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'><b>The
+polydispersion in radius is provided.</b></p>
+
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=73 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
-
-<p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
@@ -6611,6 +7018,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6630,5 +7037,5 @@
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
   border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
-  <p class=MsoBodyText>Scale</p>
+  <p class=MsoBodyText>scale</p>
   </td>
   <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
@@ -6745,5 +7152,16 @@
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center;
+text-autospace:none'><img border=0 width=445 height=280
+src="../images/html/image115.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center'><b>Figure. 1D plot
+using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center;
+text-autospace:none'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center;
+text-autospace:none'>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>References: </p>
@@ -6757,6 +7175,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="BEPolyelectrolyte"> BEPolyelectrolyte Model</a></span></b></p>
+style='font-size:14.0pt'>3.7.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name=BEPolyelectrolyte>
+BEPolyelectrolyte Model</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -6769,27 +7188,26 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:43.0pt'><img border=0 width=420
-height=125 src="../images/html/image087.png"></span></p>
-
-<p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:43.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'><img border=0 width=346 height=125
+src="../images/html/image087.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
 style='font-size:14.0pt'>&nbsp;</span></p>
 
+<p class=MsoNormal align=center style='text-align:center'><span
+style='font-size:14.0pt'>&nbsp;</span></p>
+
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
 
-<p class=MsoNormal style='margin-left:.25in'>K is a contrast factor of the
-polymer, L<sub>b</sub> is the Bjerrum length, h is the virial parameter, b is
-the monomer length, C<sub>s</sub> is the concentration of monovalent salt,
-&#945; is the ionization degree, C<sub>a</sub> is the polymer molar
-concentration, and background is the incoherent background.</p>
+<p class=MsoNormal style='margin-left:.25in'>K is a contrast factor of the polymer,
+L<sub>b</sub> is the Bjerrum length, h is the virial parameter, b is the
+monomer length, C<sub>s</sub> is the concentration of monovalent salt, &#945;
+is the ionization degree, C<sub>a</sub> is the polymer molar concentration, and
+background is the incoherent background.</p>
 
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=75 height=24
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
@@ -6799,6 +7217,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -6951,6 +7369,6 @@
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>References: </p>
 
-<p class=MsoNormal style='margin-left:.5in;text-autospace:none'>Borue, V. Y.,
-Erukhimovich, I. Y. Macromolecules 21, 3240 (1988).</p>
+<p class=MsoNormal style='margin-left:.5in;text-autospace:none'>Borue, V. Y., Erukhimovich,
+I. Y. Macromolecules 21, 3240 (1988).</p>
 
 <p class=MsoNormal style='margin-left:.5in;text-autospace:none'><span lang=FR>Joanny,
@@ -6970,6 +7388,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Guinier">Guinier (Model)</a></span></b></p>
+style='font-size:14.0pt'>3.8.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name=Guinier>Guinier
+(Model)</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -6985,6 +7404,6 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'><img border=0 width=183
-height=28 src="../images/html/image088.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=183 height=28
+src="../images/html/image088.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
@@ -6995,7 +7414,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=73 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><b><span
@@ -7004,6 +7422,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -7061,18 +7479,18 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.9.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="PorodModel">PorodModel</a></span></b></p>
+style='font-size:14.0pt'>3.9.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name=PorodModel>PorodModel</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
-<p class=MsoNormal style='margin-left:.25in'>A Porod analysis is done by
-linearizing the data at high q by plotting it as log(I) versus log(Q). In the
-high q region we can fit the following model: </p>
+<p class=MsoNormal style='margin-left:.25in'>A Porod analysis is done by linearizing
+the data at high q by plotting it as log(I) versus log(Q). In the high q region
+we can fit the following model: </p>
 
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:6.0pt'><img border=0 width=368
-height=25 src="../images/html/image089.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=319 height=25
+src="../images/html/image089.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
@@ -7082,6 +7500,6 @@
 style='font-size:14.0pt'>&nbsp;</span></p>
 
-<p class=MsoNormal style='margin-left:.25in'>C is the scale factor and  Sv is
-the specific surface area of the sample and <span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;
+<p class=MsoNormal style='margin-left:.25in'>C is the scale factor and &nbsp;Sv
+is the specific surface area of the sample and <span style='font-family:"Arial","sans-serif"'>&#916;</span>&#961;
 is the contrast factor. </p>
 
@@ -7092,7 +7510,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=65 height=21
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
@@ -7103,6 +7520,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -7157,15 +7574,183 @@
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
-<p class=MsoNormal style='margin-left:.5in;text-autospace:none'>&nbsp;</p>
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoBodyText>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>3.10&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a
+name="Poly_GaussCoil">Poly_GaussCoil</a> (Model)</span></b></p>
+
+<p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>Polydisperse Gaussian
+Coil: Calculate an empirical functional form for scattering from a polydisperse
+polymer chain ina good solvent. The polymer is polydisperse with a Schulz-Zimm
+polydispersity of the molecular weight distribution.&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>The returned
+value is scaled to units of [cm-1sr-1], absolute scale.</p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center;
+text-autospace:none'><span style='position:relative;top:15pt'><img border=0
+width=261 height=48 src="../images/html/image116.gif"></p>
 
 <p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
 
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>where the
+dimensionless chain dimension is:</p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center;
+text-autospace:none'><span style='position:relative;top:12pt'><img border=0
+width=73 height=47 src="../images/html/image117.gif"></p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>and the
+polydispersion is</p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center;
+text-autospace:none'><span style='position:relative;top:15pt'><img border=0
+width=81 height=47 src="../images/html/image118.gif">.</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>The scattering
+intensity I(q) is calculated as:</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>The
+polydispersion in rg is provided.</p>
+
+<p class=MsoNormal><span style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
+defined as <span style='font-size:14.0pt'><img border=0 width=73 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in'>TEST DATASET</p>
+
+<p class=MsoNormal style='margin-left:.25in'>&nbsp;This example dataset is
+produced by running the Poly_GaussCoil, using 200 data points, qmin = 0.001
+Å-1,&nbsp; qmax = 0.7 Å-1&nbsp;&nbsp; and the default values below.</p>
+
+<p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
+
+<div align=center>
+
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
+ <tr style='height:19.25pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>Parameter name</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>Units</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>Default value</p>
+  </td>
+ </tr>
+ <tr style='height:19.25pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>Scale</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>None</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>1.0</p>
+  </td>
+ </tr>
+ <tr style='height:19.25pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>rg</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>Å</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>60.0</p>
+  </td>
+ </tr>
+ <tr style='height:19.25pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>poly_m</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>Mw/Mn</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>2</p>
+  </td>
+ </tr>
+ <tr style='height:19.25pt'>
+  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
+  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>background</p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>cm<sup>-1</sup></p>
+  </td>
+  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left:
+  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
+  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'>
+  <p class=MsoBodyText>0.001</p>
+  </td>
+ </tr>
+</table>
+
+</div>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><img
+border=0 width=431 height=268 src="../images/html/image119.jpg"></p>
+
+<p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
+1D plot using the default values (w/200 data point).</b></p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in'>Reference: </p>
+
+<p class=MsoNormal style='margin-left:.25in'>Glatter &amp; Kratky - pg.404.</p>
+
+<p class=MsoNormal style='margin-left:.25in'>J.S. Higgins, and H.C. Benoit, Polymers
+and Neutron Scattering, Oxford Science</p>
+
+<p class=MsoNormal style='margin-left:.25in'>Publications (1996).</p>
+
+<p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
+
+<p class=MsoNormal style='margin-left:.25in;text-autospace:none'>&nbsp;</p>
+
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
-
-
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.10.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="Peak Gauss Model"> Peak Gauss Model</a></span></b></p>
+style='font-size:14.0pt'>3.11.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name="Peak Gauss Model"><b><span style='font-size:14.0pt'>&nbsp;Peak
+Gauss Model</span></b></a></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -7177,17 +7762,16 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:6.0pt'><img border=0 width=334
-height=25 src="../images/html/image090.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=334 height=25
+src="../images/html/image090.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal style='margin-left:.25in'><span style='position:relative;
-top:7.0pt'>where scale is the peak height centered at q<sub>0</sub>, and B
-refers to the standard deviation of the function (equivalently, the FWHM is
-2.54*B).</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal style='margin-left:.25in'>where scale is the peak height centered
+at q<sub>0</sub>, and B refers to the standard deviation of the function
+(equivalently, the FWHM is 2.54*B).</p>
 
 <p class=MsoNormal style='margin-left:.25in'>The background term is added for
@@ -7197,7 +7781,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as <span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as <span style='font-size:14.0pt'><img border=0 width=71 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
@@ -7210,6 +7793,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -7303,6 +7886,7 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.11.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="Peak Lorentz Model">Peak Lorentz Model</a></span></b></p>
+style='font-size:14.0pt'>3.12.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name="Peak Lorentz Model">Peak
+Lorentz Model</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -7314,19 +7898,19 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:34.0pt'><img border=0 width=241
-height=70 src="../images/html/image091.png"></span></p>
-
-<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'><img border=0 width=241 height=70
+src="../images/html/image091.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
 style='font-size:14.0pt'>&nbsp;</span></p>
 
-<p class=MsoNormal style='margin-left:.25in'><span style='position:relative;
-top:7.0pt'>where scale is the peak height centered at q<sub>0</sub>, and B
-refers to the standard deviation of the function.</span></p>
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
+style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
+style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal style='margin-left:.25in'>where scale is the peak height
+centered at q<sub>0</sub>, and B refers to the standard deviation of the
+function.</p>
 
 <p class=MsoNormal style='margin-left:.25in'>The background term is added for
@@ -7336,7 +7920,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as<span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as<span style='font-size:14.0pt'><img border=0 width=77 height=25
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><b><span
@@ -7345,6 +7928,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -7436,6 +8019,6 @@
 
 <p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>3.12.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="LineModel"> LineModel</a></span></b></p>
+style='font-size:14.0pt'>3.13.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;<a name=LineModel> LineModel</a></span></b></p>
 
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
@@ -7447,25 +8030,28 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:5.0pt'><img border=0 width=92
-height=21 src="../images/html/image092.png"></span></p>
-
-<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'><img border=0 width=92 height=21
+src="../images/html/image092.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
 style='font-size:14.0pt'>&nbsp;</span></p>
 
+<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
+style='font-size:14.0pt'>&nbsp;</span></p>
+
 <p class=MsoNormal style='margin-left:.25in'>where A and B are the coefficients
 of the first and second order terms.</p>
 
-<p class=MsoNormal style='margin-left:.25in'>Note: For 2D plot, I(q) = I(q<sub>x</sub>)*I(q<sub>y</sub>) 
-which is defined differently from other shape independent models.</p>
-
 <p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
 
+<p class=MsoNormal style='margin-left:.25in'><b>Note:</b> For 2D plot, I(q) =
+I(q<sub>x</sub>)*I(q<sub>y</sub>)&nbsp; which is defined differently from other
+shape independent models.</p>
+
+<p class=MsoNormal style='margin-left:.25in'>&nbsp;</p>
+
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -7525,52 +8111,55 @@
 
 <p class=MsoNormal style='margin-left:.25in;text-indent:-.25in'><b><span
-style='font-size:16.0pt'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:16.0pt'><a name="Customized Models">Customized Models </a></span></b></p>
+style='font-size:16.0pt'>4.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;
+</span></b><a name="Customized_Models"><b><span style='font-size:16.0pt'>Customized
+Models </span></b></a></p>
 
 <p class=MsoNormal style='margin-left:.25in'><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
-<p class=MsoBodyText style='margin-left:.25in'>These model functions can be redefined
-by users (See SansView tutorial for details). </p>
+<p class=MsoBodyText style='margin-left:.25in'>These model functions can be
+redefined by users (See SansView tutorial for details). </p>
 
 <p class=MsoBodyText style='margin-left:.25in'>&nbsp;</p>
 
-<p class=MsoListParagraphCxSpFirst style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>4.1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="A+Bcos(2x)+Csin(2x)"> A+Bcos(2x)+Csin(2x)</a></span></b></p>
-
-<p class=MsoListParagraphCxSpLast style='margin-left:.55in'><b><span
-style='font-size:14.0pt'>&nbsp;</span></b></p>
-
-<p class=MsoNormal>This function, as a sample function, calculates the intensity
-= A + Bcos(2q) + Csin(2q).</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-
-<p class=MsoListParagraphCxSpLast style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>4.2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name ="sinpoly_poly"> sin(poly)/poly </a></span></b></p>
+<p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>4.1.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name="A+Bcos(2x)+Csin(2x)"><b><span style='font-size:14.0pt'>A+Bcos(2x)+Csin(2x)</span></b></a></p>
+
+<p class=MsoListParagraph style='margin-left:.55in'><b><span style='font-size:
+14.0pt'>&nbsp;</span></b></p>
+
+<p class=MsoNormal>This function, as a sample function, calculates the
+intensity = A + Bcos(2q) + Csin(2q).</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>4.2.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name="sinpoly_poly"><b><span style='font-size:14.0pt'>sin(poly)/poly
+</span></b></a></p>
 
 <p class=MsoNormal><b>&nbsp;</b></p>
 
-<p class=MsoNormal>This function calculates the intensity =  scale * sin(f)/f,
-where f = A + Bq + Cq<sup>2</sup> + Dq<sup>3 </sup>+ Eq<sup>4</sup> + Fq<sup>5</sup>.</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoListParagraphCxSpFirst style='margin-left:.25in;text-indent:-.25in'><b><span
-style='font-size:16.0pt'>5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:16.0pt'><a name="Structure Factors"> Structure Factors</a></span></b></p>
-
-<p class=MsoListParagraphCxSpMiddle style='margin-left:.25in'>&nbsp;</p>
-
-<p class=MsoListParagraphCxSpLast style='margin-left:.25in'>The information in
-this section is originated from NIST SANS IgorPro package.</p>
+<p class=MsoNormal>This function calculates the intensity =&nbsp; scale *
+sin(f)/f, where f = A + Bq + Cq<sup>2</sup> + Dq<sup>3 </sup>+ Eq<sup>4</sup> +
+Fq<sup>5</sup>.</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoListParagraph style='margin-left:.25in;text-indent:-.25in'><b><span
+style='font-size:16.0pt'>5.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;
+</span></b><a name="Structure_Factors"><b><span style='font-size:16.0pt'>Structure
+Factors</span></b></a></p>
+
+<p class=MsoListParagraph style='margin-left:.25in'>&nbsp;</p>
+
+<p class=MsoListParagraph style='margin-left:.25in'>The information in this
+section is originated from NIST SANS IgorPro package.</p>
 
 <p class=MsoBodyText>&nbsp;</p>
@@ -7578,13 +8167,14 @@
 <p class=MsoBodyText>&nbsp;</p>
 
-<p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b>
-<span style='font-size:14.0pt'>5.1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="HardsphereStructure"> HardSphere Structure </a></span></b></p>
-
-<p class=MsoNormal>&nbsp;</p>
-
-<p class=MsoNormal>This calculates the interparticle structure factor for
-monodisperse spherical particles interacting through hard sphere (excluded
-volume) interactions. The calculation uses the Percus-Yevick closure where the
+<p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b><span
+style='font-size:14.0pt'>5.1.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=HardsphereStructure><b><span style='font-size:14.0pt'>HardSphere
+Structure </span></b></a></p>
+
+<p class=MsoNormal>&nbsp;</p>
+
+<p class=MsoNormal>This calculates the interparticle structure factor for monodisperse
+spherical particles interacting through hard sphere (excluded volume)
+interactions. The calculation uses the Percus-Yevick closure where the
 interparticle potential is: </p>
 
@@ -7594,24 +8184,23 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:15.0pt'><img border=0 width=122
-height=48 src="../images/html/image093.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=122 height=48
+src="../images/html/image093.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:7.0pt'>where r is the
-distance from the center of the sphere of a radius R.</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal>where r is the distance from the center of the sphere of a
+radius R.</p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as<span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:7.0pt'>&nbsp;</span></p>
+defined as<span style='font-size:14.0pt'><img border=0 width=72 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -7621,6 +8210,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt;
@@ -7692,5 +8281,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=484 height=331 id="Picture 111" src="../images/html/image094.png"></p>
+width=454 height=295 src="../images/html/image094.png"></p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
@@ -7713,6 +8302,7 @@
 
 <p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>5.2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="SquareWellStructure"> SquareWell Structure </a></span></b></p>
+style='font-size:14.0pt'>5.2.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=SquareWellStructure><b><span style='font-size:14.0pt'>&nbsp;SquareWell
+Structure </span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -7746,25 +8336,24 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:22.0pt'><img border=0 width=174
-height=67 src="../images/html/image095.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=174 height=67
+src="../images/html/image095.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:7.0pt'>where r is the
-distance from the center of the sphere of a radius R.</span></p>
-
-<p class=MsoNormal><span style='position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
+
+<p class=MsoNormal>where r is the distance from the center of the sphere of a
+radius R.</p>
+
+<p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as<span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as<span style='font-size:14.0pt'><img border=0 width=71 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -7774,6 +8363,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='margin-left:-1.5pt;border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='margin-left:-1.5pt;border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=145 valign=top style='width:108.5pt;border:solid windowtext 1.0pt;
@@ -7861,5 +8450,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=510 height=346 id="Picture 110" src="../images/html/image096.png"></p>
+width=453 height=286 src="../images/html/image096.png"></p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
@@ -7880,6 +8469,7 @@
 
 <p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>5.3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'><a name="HayterMSAStructure"> HayterMSA Structure </a></span></b></p>
+style='font-size:14.0pt'>5.3.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><a name=HayterMSAStructure><b><span style='font-size:14.0pt'>&nbsp;HayterMSA
+Structure </span></b></a></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -7887,26 +8477,25 @@
 <p class=MsoNormal>This calculates the Structure factor (the Fourier transform
 of the pair correlation function g(r)) for a system of charged, spheroidal
-objects in a dielectric medium.  When combined with an appropriate form factor
-(such as sphere, core+shell, ellipsoid etc
-), this allows for inclusion of the
-interparticle interference effects due to screened coulomb repulsion between
-charged particles. This routine only works for charged particles.  If the
-charge is set to zero the routine will self destruct.  For non-charged
-particles use a hard sphere potential.</p>
+objects in a dielectric medium.&nbsp; When combined with an appropriate form
+factor (such as sphere, core+shell, ellipsoid etc
+), this allows for inclusion
+of the interparticle interference effects due to screened coulomb repulsion
+between charged particles. This routine only works for charged particles.&nbsp;
+If the charge is set to zero the routine will self destruct.&nbsp; For
+non-charged particles use a hard sphere potential.</p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal>The salt concentration is used to compute the ionic strength
-of the solution which in turn is used to compute the Debye screening length. 
-At present there is no provision for entering the ionic strength directly nor
-for use of any multivalent salts.  The counterions are also assumed to be
-monovalent.</p>
+of the solution which in turn is used to compute the Debye screening
+length.&nbsp; At present there is no provision for entering the ionic strength
+directly nor for use of any multivalent salts.&nbsp; The counterions are also
+assumed to be monovalent.</p>
 
 <p class=MsoNormal>&nbsp;</p>
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as<span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as<span style='font-size:14.0pt'><img border=0 width=71 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -7916,6 +8505,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='margin-left:-1.5pt;border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='margin-left:-1.5pt;border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=145 valign=top style='width:108.5pt;border:solid windowtext 1.0pt;
@@ -8035,5 +8624,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=498 height=333 id="Picture 112" src="../images/html/image097.png"></p>
+width=451 height=273 src="../images/html/image097.png"></p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
@@ -8049,6 +8638,6 @@
 JB Hayter, Molecular Physics 46, 651-656 (1982).</p>
 
-<p class=MsoNormal style='text-autospace:none'>            JB Hayter and J
-Penfold, Molecular Physics 42, 109-118 (1981).</p>
+<p class=MsoNormal style='text-autospace:none'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+JB Hayter and J Penfold, Molecular Physics 42, 109-118 (1981).</p>
 
 <p class=MsoNormal style='text-autospace:none'>&nbsp;</p>
@@ -8059,6 +8648,6 @@
 
 <p class=MsoListParagraph style='margin-left:.55in;text-indent:-.3in'><b><span
-style='font-size:14.0pt'>5.4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
-</span></span></b><b><span style='font-size:14.0pt'> <a name="StickyHSStructure">StickyHS Structure </a></span></b></p>
+style='font-size:14.0pt'>5.4.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+</span></b><b><span style='font-size:14.0pt'>&nbsp;StickyHS Structure </span></b></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -8075,5 +8664,5 @@
 held between 0.01 and 0.1. It is best to hold the perturbation parameter fixed
 and let the &quot;stickiness&quot; vary to adjust the interaction strength. The
-stickiness, tau, is defined in equation 21 and is a function of both the
+stickiness, tau, is defined in the equation below and is a function of both the
 perturbation parameter and the interaction strength. Tau and epsilon are
 defined in terms of the hard sphere diameter (sigma = 2R), the width of the
@@ -8087,12 +8676,12 @@
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:22.0pt'><img border=0 width=135
-height=67 src="../images/html/image098.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=135 height=67
+src="../images/html/image098.png"></span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:27.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='text-align:center'><span
-style='font-size:14.0pt;position:relative;top:27.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal>where the interaction potential is</p>
@@ -8103,12 +8692,12 @@
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:23.0pt'><img border=0 width=186
-height=69 src="../images/html/image099.png"></span></p>
+style='font-size:14.0pt'><img border=0 width=186 height=69
+src="../images/html/image099.png"></span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
-style='font-size:14.0pt;position:relative;top:7.0pt'>&nbsp;</span></p>
+style='font-size:14.0pt'>&nbsp;</span></p>
 
 <p class=MsoNormal>The Percus-Yevick (PY) closure was used for this
@@ -8121,7 +8710,7 @@
 <p class=MsoNormal>The true particle volume fraction, f, is not equal to h,
 which appears in most of the reference. The two are related in equation (24) of
-the reference. The reference also describes the relationship between this
-perturbation solution and the original sticky hard sphere (or adhesive sphere)
-model by Baxter.</p>
+the reference. The reference also describes the relationship between this perturbation
+solution and the original sticky hard sphere (or adhesive sphere) model by
+Baxter.</p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -8137,7 +8726,6 @@
 
 <p class=MsoNormal style='margin-left:.25in'>For 2D plot, the wave transfer is
-defined as<span style='font-size:14.0pt;position:relative;top:8.0pt'><img
-border=0 width=103 height=33 src="../images/html/image010.png"></span><span
-style='font-size:14.0pt;position:relative;top:6.0pt'>.</span></p>
+defined as<span style='font-size:14.0pt'><img border=0 width=73 height=23
+src="../images/html/image010.png"></span><span style='font-size:14.0pt'>.</span></p>
 
 <p class=MsoNormal>&nbsp;</p>
@@ -8147,6 +8735,6 @@
 <div align=center>
 
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
- style='margin-left:-1.5pt;border-collapse:collapse;border:none'>
+<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0
+ style='margin-left:-1.5pt;border-collapse:collapse'>
  <tr style='height:19.25pt'>
   <td width=145 valign=top style='width:108.5pt;border:solid windowtext 1.0pt;
@@ -8234,5 +8822,5 @@
 
 <p class=MsoNormal align=center style='text-align:center'><img border=0
-width=502 height=328 id="Picture 113" src="../images/html/image100.png"></p>
+width=463 height=273 src="../images/html/image100.png"></p>
 
 <p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b>Figure.
@@ -8252,5 +8840,5 @@
 <p class=MsoNormal><b><span style='font-size:14.0pt'>&nbsp;</span></b></p>
 
-<p class=MsoBodyText><b><span style='font-size:14.0pt'><a name="References">References</a></span></b></p>
+<p class=MsoBodyText><a name=References><b><span style='font-size:14.0pt'>References</span></b></a></p>
 
 <p class=MsoBodyText>Feigin, L. A, and D. I. Svergun (1987) &quot;Structure
@@ -8272,10 +8860,13 @@
 411-417.</p>
 
-<p class=MsoBodyText>McAlister, B.C. and Grady, B.P., (1998) J. Appl. Cryst. 31,
-594-599.</p>
+<p class=MsoBodyText>McAlister, B.C. and Grady, B.P., (1998) J. Appl. Cryst.
+31, 594-599.</p>
 
 <p class=MsoBodyText>Porod, G. (1982) in Small Angle X-ray Scattering, editors
 Glatter, O. and Kratky, O., Academic Press.</p>
 
+<p class=MsoBodyText>*Also, see the references in the each model function
+descriptions.</p>
+
 <p class=MsoBodyText>&nbsp;</p>
 
