Index: sansmodels/src/sans/models/media/model_functions.html
===================================================================
--- sansmodels/src/sans/models/media/model_functions.html	(revision c053f2340476621aa4404b8def814ad496fd7c95)
+++ sansmodels/src/sans/models/media/model_functions.html	(revision 67529504be577e733fa08fdc95de883624bc886a)
@@ -444,5 +444,7 @@
 {margin-bottom:0in;}
 -->
-</style><title></title></head>
+</style><title></title>
+
+</head>
 <body lang="EN-US" link="blue" vlink="purple">
 <div class="WordSection1">
@@ -453,5 +455,5 @@
 <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="#BinaryHSModel">BinaryHSModel</a>, <a href="#FuzzySphereModel">FuzzySphereModel</a>, <a href="#CoreShellModel">CoreShellModel</a>,&nbsp;<a href="#Core2ndMomentModel">Core2ndMomentModel</a>,  <a href="#CoreMultiShellModel">CoreMultiShellModel</a>, <a href="#VesicleModel">VesicleModel</a>, <a href="#MultiShellModel">MultiShellModel</a>, &nbsp;<a href="#OnionExpShellModel">OnionExpShellModel</a>, <a href="#SphericalSLDModel">SphericalSLDModel</a>, <a href="#LinearPearlsModel">LinearPearlsModel</a>, <a href="#PearlNecklaceModel">PearlNecklaceModel</a> , <a href="#CylinderModel">CylinderModel</a>, <a href="#CoreShellCylinderModel">CoreShellCylinderModel</a>,
+<li class="MsoNormal" style="line-height: 115%;"><a href="#Shapes"><b>Shapes</b></a>: <a href="#SphereModel">SphereModel</a>, <a href="#BinaryHSModel">BinaryHSModel</a>, <a href="#FuzzySphereModel">FuzzySphereModel</a>, <a href="#CoreShellModel">CoreShellModel</a>,&nbsp;<a href="#Core2ndMomentModel">Core2ndMomentModel</a>, <a href="#CoreMultiShellModel">CoreMultiShellModel</a>, <a href="#VesicleModel">VesicleModel</a>, <a href="#MultiShellModel">MultiShellModel</a>, &nbsp;<a href="#OnionExpShellModel">OnionExpShellModel</a>, <a href="#SphericalSLDModel">SphericalSLDModel</a>, <a href="#LinearPearlsModel">LinearPearlsModel</a>, <a href="#PearlNecklaceModel">PearlNecklaceModel</a> , <a href="#CylinderModel">CylinderModel</a>, <a href="#CoreShellCylinderModel">CoreShellCylinderModel</a>,
 <a href="#HollowCylinderModel">HollowCylinderModel</a>,
 <a href="#FlexibleCylinderModel">FlexibleCylinderModel</a>,
@@ -469,5 +471,6 @@
 <a href="#BEPolyelectrolyte">BEPolyelectrolyte</a>,
 <a href="#BroadPeak">BroadPeak,<span style="text-decoration: none;"> </span><span style="color: windowtext; text-decoration: none;"><u><span style="color: blue;">CorrLength</span></u></span><span style="color: windowtext; text-decoration: none;">,</span></a>
-<a href="#DAB_Model">DAB_Model</a>, <a href="#Debye">Debye</a>, <a href="#Number_Density_Fractal">FractalModel</a>, <a href="#FractalCoreShell">FractalCoreShell</a>, <a href="#GaussLorentzGel">GaussLorentzGel</a>, <a href="#Guinier">Guinier</a>, <a href="#GuinierPorod">GuinierPorod</a>, <a href="#Lorentz">Lorentz</a>, <a href="#Peak%20Gauss%20Model">PeakGaussModel</a>, <a href="#Peak%20Lorentz%20Model">PeakLorentzModel</a>, <a href="#Poly_GaussCoil">Poly_GaussCoil</a>, <a href="#PolymerExclVolume">PolyExclVolume</a>, <a href="#PorodModel">PorodModel</a>, <a href="#RPA10Model">RPA10Model</a>, <a href="#Teubner%20Strey">Teubner Strey</a>, <a href="#TwoLorentzian">TwoLorentzian</a>, <a href="#TwoPowerLaw">TwoPowerLaw</a>, <a href="#UnifiedPowerRg">UnifiedPowerRg</a>, <a href="#LineModel">LineModel</a>.</li>
+<a href="#DAB_Model">DAB_Model</a>, <a href="#Debye">Debye</a>, <a href="#Number_Density_Fractal">FractalModel</a>, <a href="#FractalCoreShell">FractalCoreShell</a>, <a href="#GaussLorentzGel">GaussLorentzGel</a>, <a href="#Guinier">Guinier</a>, <a href="#GuinierPorod">GuinierPorod</a>, <a href="#Lorentz">Lorentz</a>, <a href="#Mass_Fractal">MassFractalModel</a>, <a href="#MassSurface_Fractal">MassSurfaceFractal</a>, <a href="#Peak%20Gauss%20Model">PeakGaussModel</a>, <a href="#Peak%20Lorentz%20Model">PeakLorentzModel</a>, <a href="#Poly_GaussCoil">Poly_GaussCoil</a>, <a href="#PolymerExclVolume">PolyExclVolume</a>, <a href="#PorodModel">PorodModel</a>, <a href="#RPA10Model">RPA10Model</a>, <a href="#Surface_Fractal">SurfaceFractalModel</a>,
+<a href="#Teubner%20Strey">Teubner Strey</a>, <a href="#TwoLorentzian">TwoLorentzian</a>, <a href="#TwoPowerLaw">TwoPowerLaw</a>, <a href="#UnifiedPowerRg">UnifiedPowerRg</a>, <a href="#LineModel">LineModel</a>.</li>
 <li class="MsoNormal" style="line-height: 115%;"><a href="#Model"><b>Customized Models</b></a>:
 <a href="#A+Bcos%282x%29+Csin%282x%29">A+Bcos(2x)+Csin(2x)</a>,
@@ -1269,8 +1272,11 @@
 fraction of the core paraticles, and Gamma and delta are&nbsp;the
 adsorbed amount and the bulk density of the polymers respectively. The
-sigma is the second moment of the thickness distribution.&nbsp;</p><p class="MsoNormal"></p><p class="MsoNormal">Note
+sigma is the second moment of the thickness distribution.&nbsp;</p>
+<p class="MsoNormal"></p>
+<p class="MsoNormal">Note
 that all parameters except the
 'sigma' are correlated for fitting so that fitting&nbsp;those with
-more than one parameters will be generally failed. &nbsp;And note that
+more than one parameters will be generally failed. &nbsp;And note
+that
 unlike other shape models, no volume normalization was applied to this
 model. </p>
@@ -1393,7 +1399,5 @@
 <p class="MsoNormal"></p>
 <p class="MsoBodyText" style="text-align: center; page-break-after: avoid;" align="center"><img style="width: 526px; height: 333px;" src="secongm_fig1.jpg" alt="core_scondmoment_1D_validation"></p>
-
-<p class="MsoNormal">&nbsp;</p>
-
+<p class="MsoNormal">&nbsp;</p>
 <p class="MsoNormal">&nbsp;</p>
 <p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">2.6.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
@@ -4924,5 +4928,7 @@
 <p class="MsoNormal" style="text-align: center;" align="center"><span style="position: relative; top: 52pt;"><img src="image107.gif" height="144" width="288"></span></p>
 <p class="MsoNormal">&nbsp;</p>
-<p class="MsoNormal">&nbsp;</p><p class="MsoNormal"></p><p class="MsoNormal"></p>
+<p class="MsoNormal">&nbsp;</p>
+<p class="MsoNormal"></p>
+<p class="MsoNormal"></p>
 <p class="MsoNormal">The &lt; &gt; brackets denote
 an average of the structure
@@ -6236,5 +6242,7 @@
 <p class="MsoNormal" style="text-align: center;" align="center"><span style="position: relative; top: 50pt;"><img src="image141.gif" height="133" width="252"></span></p>
 <p class="MsoNormal" style="text-align: center;" align="center">&nbsp;</p>
-<p class="MsoNormal" style="text-align: center;" align="center">&nbsp;</p><p class="MsoNormal" style="text-align: center;" align="center"></p><p class="MsoNormal" style="text-align: center;" align="center"></p>
+<p class="MsoNormal" style="text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="text-align: center;" align="center"></p>
+<p class="MsoNormal" style="text-align: center;" align="center"></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>
@@ -8109,9 +8117,15 @@
 the
 Texiera reference. The value returned is in cm<sup>-1</sup>.</p>
-<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
 <p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt; position: relative; top: 85pt;"><img src="image186.gif"></span></p>
+<p class="MsoNormal" style="text-align: center;" align="center"></p>
 <p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt;">&nbsp;</span></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal" style="margin-left: 0.25in;"></p><p class="MsoNormal" style="margin-left: 0.25in;"></p><p class="MsoNormal" style="margin-left: 0.25in;"></p><p class="MsoNormal" style="margin-left: 0.25in;"></p><p class="MsoNormal" style="margin-left: 0.25in;">The
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">The
 scale
 parameter is the volume fraction of the building blocks, R<sub>0</sub>
@@ -8237,7 +8251,351 @@
 Teixeira, (1988) J. Appl. Cryst., vol. 21, p781-785</p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b><b><span style="font-size: 14pt;"></span></b>
+</p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
 <p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.9.</span></b><b><span style="font-size: 7pt;">&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: 14pt;"><a name="Mass_Fractal"></a><a name="MassFractalModel">MassFractalModel</a></span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">Calculates
+the scattering from
+fractal-like aggregates based on
+the Mildner reference (below).&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt; position: relative; top: 85pt;"><br>
+</span></p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 12pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; position: relative; top: 4.5pt;"><img src="mass_fractal_eq1.jpg"></span><span style="font-size: 14pt;">&nbsp;</span></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">The
+R
+is the
+radius of the building block, D<sub>m</sub> is the mass
+fractal
+dimension, &#958; is
+the correlation (or cutt-off)&nbsp; length, <i>&#961;<sub>solvent</sub></i>
+is the scattering
+length density of the solvent, and <i>&#961;<small><small>particle</small></small></i>
+is the
+scattering length density of particles.</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">Note:
+&nbsp;The mass fractal dimension is valid for
+1&lt;mass_dim&lt;6. </p>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt;">&nbsp;</span></p>
+<div align="center">
+<table class="MsoNormalTable" style="border-collapse: collapse;" border="2" cellpadding="0" cellspacing="0">
+<tbody>
+<tr style="height: 19.25pt;">
+<td style="border: 1pt solid windowtext; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Parameter name</p>
+</td>
+<td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Units</p>
+</td>
+<td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Default value</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; vertical-align: top; width: 107pt; height: 19.25pt;">
+<p class="MsoBodyText">scale</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">None</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">1</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">radius</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Å</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">10.0</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">mass_dim</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">None</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">1.9</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">co_length</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Å</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">100.0</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">background</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText"><br><sup></sup></p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">0.0</p>
+</td>
+</tr>
+</tbody>
+</table>
+</div>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center"><img style="width: 495px; height: 368px;" id="Picture 79" src="mass_fractal_fig1.jpg"></p>
+<p class="MsoNormal" style="text-align: center;" align="center"><b>Figure. 1D plot</b></p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">References:
+</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-indent: 0.25in;">D.
+Mildner, and P. Hall,&nbsp; J. Phys. D.: Appl. Phys.,&nbsp; 19,
+1535-1545&nbsp; (1986), Equation(9).</p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;"></span></b><b><span style="font-size: 14pt;"></span></b>&nbsp;</p>
+<p class="MsoNormal"></p>
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.10.</span></b><b><span style="font-size: 7pt;">&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: 14pt;"><a name="Surface_Fractal"></a><a name="SurfaceFractalModel">SurfaceFractalModel</a></span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">Calculates
+the scattering&nbsp; based on
+the Mildner reference (below).&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt; position: relative; top: 85pt;"><br>
+</span></p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 12pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; position: relative; top: 4.5pt;"><img src="surface_fractal_eq1.gif"></span><span style="font-size: 14pt;">&nbsp;</span></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">The
+R
+is the
+radius of the building block, D<sub>s</sub> is the surface
+fractal
+dimension, &#958; is
+the correlation (or cutt-off)&nbsp; length, <i>&#961;<sub>solvent</sub></i>
+is the scattering
+length density of the solvent, and <i>&#961;<small><small>particle</small></small></i>
+is the
+scattering length density of particles. </p>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;Note:
+&nbsp;The surface fractal dimension is valid for
+1&lt;surface_dim&lt;3. &nbsp;Also it is valid in a limited q range (see the reference for details).</p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt;">&nbsp;</span></p>
+<div align="center">
+<table class="MsoNormalTable" style="border-collapse: collapse;" border="2" cellpadding="0" cellspacing="0">
+<tbody>
+<tr style="height: 19.25pt;">
+<td style="border: 1pt solid windowtext; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Parameter name</p>
+</td>
+<td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Units</p>
+</td>
+<td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Default value</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; vertical-align: top; width: 107pt; height: 19.25pt;">
+<p class="MsoBodyText">scale</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">None</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">1</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">radius</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Å</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">10.0</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">surface_dim</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">None</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">2.0</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">co_length</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Å</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">500.0</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">background</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText"><br><sup></sup></p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">0.0</p>
+</td>
+</tr>
+</tbody>
+</table>
+</div>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center"><img style="width: 507px; height: 375px;" id="Picture 79" src="surface_fractal_fig1.jpg"></p>
+<p class="MsoNormal" style="text-align: center;" align="center"><b>Figure. 1D plot</b></p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">References:
+</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-indent: 0.25in;">D.
+Mildner, and P. Hall,&nbsp; J. Phys. D.: Appl. Phys.,&nbsp; 19,
+1535-1545&nbsp; (1986), Equation(13).</p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;"></span></b></p>
+<p class="MsoNormal"></p>
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.11.</span></b><b><span style="font-size: 7pt;">&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: 14pt;"><a name="MassSurface_Fractal"></a><a name="MassSurfaceFractal">MassSurfaceFractal</a></span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">Calculates
+the scattering&nbsp; based on
+the Schmidt/Hurd references (below).&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt; position: relative; top: 85pt;"><br>
+</span></p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 12pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; position: relative; top: 4.5pt;"><img src="masssurface_fractal_eq1.jpg"></span><span style="font-size: 14pt;">&nbsp;</span></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">The
+R<small>g</small>
+is for the cluster, r<small>g</small>
+is for the primary, D<sub>s</sub> is the surface
+fractal
+dimension, D<sub>m</sub> is the mass
+fractal
+dimension, <i>&#961;<sub>solvent</sub></i>
+is the scattering
+length density of the solvent, and <i>&#961;<small><small>p</small></small></i>
+is the
+scattering length density of particles. </p>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;Note:
+&nbsp;The surface and mass fractal dimensions are valid for
+0&lt;surface_dim&lt;6, 0&lt;mass_dim&lt;6, and
+(surface_mass+mass_dim)&lt;6.&nbsp;</p>
+<p class="MsoNormal" style="text-align: center;" align="center"><span style="font-size: 14pt;">&nbsp;</span></p>
+<div align="center">
+<table class="MsoNormalTable" style="border-collapse: collapse;" border="2" cellpadding="0" cellspacing="0">
+<tbody>
+<tr style="height: 19.25pt;">
+<td style="border: 1pt solid windowtext; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Parameter name</p>
+</td>
+<td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Units</p>
+</td>
+<td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext -moz-use-text-color; border-width: 1pt 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Default value</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; vertical-align: top; width: 107pt; height: 19.25pt;">
+<p class="MsoBodyText">scale</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">None</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">1</p>
+</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">primary_rg</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">Å</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">4000.0</p>
+</td>
+</tr>
+<tr>
+<td>&nbsp; cluster_rg</td>
+<td>&nbsp; Å</td>
+<td>&nbsp;86.7</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">surface_dim</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">None</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">2.3</p>
+</td>
+</tr>
+<tr>
+<td>&nbsp; mass_dim</td>
+<td>&nbsp;None</td>
+<td>&nbsp;1.8</td>
+</tr>
+<tr style="height: 19.25pt;">
+<td style="border-style: none solid solid; border-color: -moz-use-text-color windowtext windowtext; border-width: medium 1pt 1pt; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">background</p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText"><br><sup></sup></p>
+</td>
+<td style="border-style: none solid solid none; border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-width: medium 1pt 1pt medium; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143">
+<p class="MsoBodyText">0.0</p>
+</td>
+</tr>
+</tbody>
+</table>
+</div>
+<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center"><img style="width: 507px; height: 370px;" id="Picture 79" src="masssurface_fractal_fig1.jpg"></p>
+<p class="MsoNormal" style="text-align: center;" align="center"><b>Figure. 1D plot</b></p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
+<p class="MsoNormal" style="margin-left: 0.25in;">References:
+</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-indent: 0.25in;">P.
+Schmidt, J Appl. Cryst., 24, 414-435&nbsp; (1991), Equation(19).</p>
+<p class="MsoNormal" style="margin-left: 0.25in; text-indent: 0.25in;">Hurd,
+Schaefer, Martin, Phys. Rev. A, 35, 2361-2364 (1987), Equation(2).</p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;"></span></b></p>
+<p class="MsoNormal"><b><span style="font-size: 14pt;"></span></b></p>
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.12.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;
 <a name="FractalCoreShell">FractalCoreShell(Model)</a></span></b></p>
@@ -8389,5 +8747,5 @@
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.10.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.13.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;
 <a name="GaussLorentzGel">GaussLorentzGel(Model)</a></span></b></p>
@@ -8519,5 +8877,5 @@
 Mortensen, H. Reynaers, Polymer 42 (2001) 2907-2913. </p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.11.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.14.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;<a name="BEPolyelectrolyte">
 BEPolyelectrolyte Model</a></span></b></p>
@@ -8672,5 +9030,5 @@
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
 <p class="MsoNormal" style="margin-left: 0.25in;"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.12.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.15.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;<a name="Guinier">Guinier
 (Model)</a></span></b></p>
@@ -8732,5 +9090,5 @@
 <p class="MsoNormal" style="margin-left: 0.25in;"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
 <p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.13.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.16.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;<a name="GuinierPorod">GuinierPorod
 (Model)</a></span></b></p>
@@ -8892,5 +9250,5 @@
 <p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
 <p class="MsoNormal" style="margin-left: 0.25in;"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.14.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.17.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;<a name="PorodModel">PorodModel</a></span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
@@ -8958,5 +9316,5 @@
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
 <p class="MsoNormal">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.15.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.18.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;<a name="Peak Gauss Model">PeakGaussModel</a></span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
@@ -9049,5 +9407,5 @@
 <p class="MsoBodyText">&nbsp;</p>
 <p class="MsoBodyText">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.16.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.19.</span></b><b><span style="font-size: 7pt;">&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: 14pt;">&nbsp;<a name="Peak Lorentz Model">PeakLorentzModel</a></span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
@@ -9059,5 +9417,6 @@
 <p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center"><span style="font-size: 14pt; position: relative; top: 34pt;"><img src="image200.gif"></span></p>
 <p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.25in;"></p><p class="MsoNormal" style="margin-left: 0.25in;">with
+<p class="MsoNormal" style="margin-left: 0.25in;"></p>
+<p class="MsoNormal" style="margin-left: 0.25in;">with
 the peak having height of I0
 centered at qpk having a hwhm (half-width-half-maximum) of B.&nbsp;
@@ -9137,5 +9496,5 @@
 <p class="MsoBodyText">&nbsp;</p>
 <p class="MsoBodyText">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.17.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.20.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 <a name="Poly_GaussCoil">Poly_GaussCoil </a>(Model)</span></b></p>
 <p class="MsoNormal" style="">&nbsp;</p>
@@ -9260,5 +9619,5 @@
 <p class="MsoNormal" style="">&nbsp;</p>
 <p class="MsoBodyText">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.18.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.21.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 <a name="PolymerExclVolume">PolymerExclVolume (Model)</a></span></b></p>
 <p class="MsoNormal" style="">&nbsp;</p>
@@ -9442,5 +9801,5 @@
 <p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
 <p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.19.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.22.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></b><b><span style="font-size: 14pt;">&nbsp;
 <a name="RPA10Model">RPA10Model</a></span></b></p>
@@ -9699,5 +10058,5 @@
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
 <p class="MsoNormal" style="margin-left: 0.25in;"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.20.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.23.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></b><b><span style="font-size: 14pt;">&nbsp;<a name="TwoLorentzian">TwoLorentzian(Model)</a></span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
@@ -9832,5 +10191,5 @@
 <p class="MsoNormal" style="text-indent: 0.25in;"><b>&nbsp;</b></p>
 <p class="MsoNormal" style="text-indent: 0.25in;"><b>&nbsp;</b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.21.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.24.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></b><b><span style="font-size: 14pt;">&nbsp;<a name="TwoPowerLaw">TwoPowerLaw(Model)</a></span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
@@ -9940,5 +10299,5 @@
 <p class="MsoNormal" style="text-indent: 0.25in;"><b>&nbsp;</b></p>
 <p class="MsoNormal" style="text-indent: 0.25in;"><b>&nbsp;</b></p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.22.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.25.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></b><b><span style="font-size: 14pt;">&nbsp;<a name="UnifiedPowerRg">UnifiedPower(Law
 and)Rg(Model)</a></span></b></p>
@@ -10129,5 +10488,5 @@
 <p class="MsoNormal" style="text-indent: 0.25in;"><b>&nbsp;</b></p>
 <p class="MsoNormal">&nbsp;</p>
-<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.23.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+<p class="MsoNormal" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.26.</span></b><b><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></b><b><span style="font-size: 14pt;">&nbsp;<a name="LineModel"> LineModel</a></span></b></p>
 <p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p>
