Changeset f40f743 in sasview for sansmodels/src


Ignore:
Timestamp:
Aug 24, 2012 12:49:46 PM (12 years ago)
Author:
Jae Cho <jhjcho@…>
Branches:
master, ESS_GUI, ESS_GUI_Docs, ESS_GUI_batch_fitting, ESS_GUI_bumps_abstraction, ESS_GUI_iss1116, ESS_GUI_iss879, ESS_GUI_iss959, ESS_GUI_opencl, ESS_GUI_ordering, ESS_GUI_sync_sascalc, costrafo411, magnetic_scatt, release-4.1.1, release-4.1.2, release-4.2.2, release_4.0.1, ticket-1009, ticket-1094-headless, ticket-1242-2d-resolution, ticket-1243, ticket-1249, ticket885, unittest-saveload
Children:
f686259
Parents:
637631d
Message:

removed frataloz (same as masssurfacefractal) from fitting

File:
1 edited

Legend:

Unmodified
Added
Removed
  • sansmodels/src/sans/models/media/model_functions.html

    r17574ae rf40f743  
    88<li style="line-height: 115%;"><a href="#Introduction"><strong>Introduction</strong></a></li> 
    99<li style="line-height: 115%;"><a href="#Shapes"><strong>Shapes</strong></a>: <a href="#SphereModel">SphereModel</a>, <a href="#BinaryHSModel">BinaryHSModel</a>, <a href="#FuzzySphereModel">FuzzySphereModel</a>, <a href="#RaspBerryModel">RaspBerryModel</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="#CoreShellBicelleModel">CoreShellBicelleModel</a>,<a href="#HollowCylinderModel">HollowCylinderModel</a>, <a href="#FlexibleCylinderModel">FlexibleCylinderModel</a>, <a href="#FlexibleCylinderModel">FlexCylEllipXModel</a>, <a href="#StackedDisksModel">StackedDisksModel</a>, <a href="#ParallelepipedModel">ParallelepipedModel</a>, <a href="#CSParallelepipedModel">CSParallelepipedModel</a>, <a href="#EllipticalCylinderModel">EllipticalCylinderModel</a>, <a href="#BarBellModel">BarBellModel</a>, <a href="#CappedCylinderModel">CappedCylinderModel</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>, <a href="#LamellarPCrystalModel">LamellarPCrystalModel</a>, <a href="#SCCrystalModel">SCCrystalModel</a>, <a href="#FCCrystalModel">FCCrystalModel</a>, <a href="#BCCrystalModel">BCCrystalModel</a>.</li> 
    10 <li style="line-height: 115%;"><a href="#Shape-Independent"><strong>Shape-Independent</strong></a>: <a href="#Absolute%20Power_Law">AbsolutePower_Law</a>, <a href="#BEPolyelectrolyte">BEPolyelectrolyte</a>, <a href="#BroadPeak">BroadPeak,<span><span style="text-decoration: underline;"><span style="color: blue;">CorrLength</span></span></span><span>,</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="#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="#StarPolymer">StarPolymer</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>, <a href="#ReflectivityModel">ReflectivityModel</a>, <a href="#ReflectivityIIModel">ReflectivityIIModel</a>, <a href="#GelFitModel">GelFitModel</a>, <a href="#FractalO_Z">FractalO_Z</a>.</li> 
     10<li style="line-height: 115%;"><a href="#Shape-Independent"><strong>Shape-Independent</strong></a>: <a href="#Absolute%20Power_Law">AbsolutePower_Law</a>, <a href="#BEPolyelectrolyte">BEPolyelectrolyte</a>, <a href="#BroadPeak">BroadPeak,<span><span style="text-decoration: underline;"><span style="color: blue;">CorrLength</span></span></span><span>,</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="#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="#StarPolymer">StarPolymer</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>, <a href="#ReflectivityModel">ReflectivityModel</a>, <a href="#ReflectivityIIModel">ReflectivityIIModel</a>, <a href="#GelFitModel">GelFitModel</a>.</li> 
    1111<li style="line-height: 115%;"><a href="#Model"><strong>Customized Models</strong></a>: <a href="#testmodel">testmodel</a>, <a href="#testmodel_2">testmodel_2</a>, <a href="#sum_p1_p2">sum_p1_p2</a>, <a href="#sum_Ap1_1_Ap2">sum_Ap1_1_Ap2</a>, <a href="#polynomial5">polynomial5</a>, <a href="#sph_bessel_jn">sph_bessel_jn</a>.</li> 
    1212<li style="line-height: 115%;"><a href="#Structure_Factors"><strong>Structure Factors</strong></a>: <a href="#HardsphereStructure">HardSphereStructure</a>, <a href="#SquareWellStructure">SquareWellStructure</a>, <a href="#HayterMSAStructure">HayterMSAStructure</a>, <a href="#StickyHSStructure">StickyHSStructure</a>.</li> 
     
    54265426<p>&nbsp;</p> 
    54275427<p style="margin-left: 0.55in; text-indent: -0.3in;"><strong><span style="font-size: 14pt;">3.11.</span></strong><strong><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></strong><strong><span style="font-size: 14pt;"><a name="MassSurface_Fractal"></a><a name="MassSurfaceFractal"></a>MassSurfaceFractal</span></strong></p> 
    5428 <p style="margin-left: 0.25in;">Calculates the scattering&nbsp; based on the Schmidt/Hurd references (below).&nbsp;</p> 
     5428<p>&nbsp;&nbsp;&nbsp; A number of natural and commercial processes form high-surface area materials as a result of the vapour-phase aggregation of primary particles. Examples of such materials include soots, aerosols, and &lsquo;fume&rsquo; or pyrogenic silicas. These are all characterised by cluster mass distributions (sometimes also cluster size distributions) and internal surfaces that are fractal in nature. &nbsp; The scattering from such materials displays two distinct breaks in log-log representation, corresponding to the radius-of-gyration of the primary particles, rg, and the radius-of-gyration of the clusters (aggregates), Rg. Between these boundaries the scattering follows a power law related to the mass fractal dimension, Dm, whilst above the high-Q boundary the scattering follows a power law related to the surface fractal dimension of the primary particles, Ds.</p> 
     5429<p style="margin-left: 0.55in;">The scattered intensity I(Q) is then calculated using a modified Ornstein-Zernicke equation:</p> 
    54295430<p style="text-align: center;" align="center"><span style="font-size: 14pt; position: relative; top: 85pt;"><br /> </span></p> 
    54305431<p style="text-align: center;" align="center"><span style="font-size: 12pt; font-family: 'Times New Roman','serif'; position: relative; top: 4.5pt;"><img src="img/masssurface_fractal_eq1.jpg" alt="" /></span><span style="font-size: 14pt;">&nbsp;</span></p> 
     
    70307031<p style="margin-left: 0.25in; text-indent: 0.25in;">H. Benoit, &nbsp; J. Polymer Science.,&nbsp; 11, 596-599&nbsp; (1953)</p> 
    70317032<p>&nbsp;</p> 
    7032 <p style="margin-left: 0.55in; text-indent: -0.3in;"><strong><span style="font-size: 14pt;">3.30.</span></strong><strong><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></strong><a name="FractalO_Z"></a><strong><span style="font-size: 14pt;">FractalO_Z</span></strong></p> 
    7033 <p>&nbsp;&nbsp;&nbsp; A number of natural and commercial processes form high-surface area materials as a result of the vapour-phase aggregation of primary particles. Examples of such materials include soots, aerosols, and &lsquo;fume&rsquo; or pyrogenic silicas. These are all characterised by cluster mass distributions (sometimes also cluster size distributions) and internal surfaces that are fractal in nature. &nbsp; The scattering from such materials displays two distinct breaks in log-log representation, corresponding to the radius-of-gyration of the primary particles, rg, and the radius-of-gyration of the clusters (aggregates), Rg. Between these boundaries the scattering follows a power law related to the mass fractal dimension, Dm, whilst above the high-Q boundary the scattering follows a power law related to the surface fractal dimension of the primary particles, Ds.</p> 
    7034 <p style="margin-left: 0.55in;">The scattered intensity I(Q) is then calculated using a modified Ornstein-Zernicke equation:</p> 
    7035 <p><img src="img/image236.gif" alt="" /></p> 
    7036 <p style="margin-left: 0.55in;">Where:</p> 
    7037 <p><span><img src="img/image237.gif" alt="" /></span></p> 
    7038 <p>&nbsp;</p> 
    7039 <p>&nbsp;&nbsp;&nbsp; This example dataset was produced using 300 data points, qmin=0.001 &Aring;-1, qmax=0.3 &Aring;-1 and the default values:</p> 
    7040 <p style="margin-left: 0.25in; text-align: center;" align="center"><strong>Default input parameter values</strong></p> 
    7041 <div align="center"> 
    7042 <table style="border-collapse: collapse;" border="2" cellspacing="0" cellpadding="0"> 
    7043 <tbody> 
    7044 <tr style="height: 19.25pt;"> 
    7045 <td style="border: 1pt solid width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7046 <p>Parameter name</p> 
    7047 </td> 
    7048 <td style="border-width: 1pt 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7049 <p>Units</p> 
    7050 </td> 
    7051 <td style="border-width: 1pt 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7052 <p>Default value</p> 
    7053 </td> 
    7054 </tr> 
    7055 <tr style="height: 19.25pt;"> 
    7056 <td style="border-width: medium 1pt 1pt; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7057 <p>Background</p> 
    7058 </td> 
    7059 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7060 <p>cm-1</p> 
    7061 </td> 
    7062 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7063 <p>0.01</p> 
    7064 </td> 
    7065 </tr> 
    7066 <tr style="height: 19.25pt;"> 
    7067 <td style="border-width: medium 1pt 1pt; vertical-align: top; width: 107pt; height: 19.25pt;"> 
    7068 <p>Scale</p> 
    7069 </td> 
    7070 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7071 <p>cm-1</p> 
    7072 </td> 
    7073 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7074 <p>10000.0</p> 
    7075 </td> 
    7076 </tr> 
    7077 <tr style="height: 19.25pt;"> 
    7078 <td style="border-width: medium 1pt 1pt; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7079 <p>Cluster Rg</p> 
    7080 </td> 
    7081 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7082 <p>&Aring;</p> 
    7083 </td> 
    7084 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7085 <p>3520.0</p> 
    7086 </td> 
    7087 </tr> 
    7088 <tr style="height: 19.25pt;"> 
    7089 <td style="border-width: medium 1pt 1pt; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7090 <p>Mass fractal exponent</p> 
    7091 </td> 
    7092 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143">&nbsp;</td> 
    7093 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7094 <p>1.8</p> 
    7095 </td> 
    7096 </tr> 
    7097 <tr style="height: 19.25pt;"> 
    7098 <td style="border-width: medium 1pt 1pt; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7099 <p>Primary particle Rg</p> 
    7100 </td> 
    7101 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7102 <p>&Aring;</p> 
    7103 </td> 
    7104 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7105 <p>82.0</p> 
    7106 </td> 
    7107 </tr> 
    7108 <tr style="height: 19.25pt;"> 
    7109 <td style="border-width: medium 1pt 1pt; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7110 <p>Surface fractal exponent</p> 
    7111 </td> 
    7112 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7113 <p>cm-1</p> 
    7114 </td> 
    7115 <td style="border-width: medium 1pt 1pt medium; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
    7116 <p>2.5</p> 
    7117 </td> 
    7118 </tr> 
    7119 </tbody> 
    7120 </table> 
    7121 </div> 
    7122 <p style="margin-left: 0.5in;">&nbsp;</p> 
    7123 <p style="margin-left: 0.5in;">&nbsp;</p> 
    7124 <p style="margin-left: 0.5in; text-align: center;" align="center"><img id="Picture 11" src="img/image238.gif" alt="" width="470" height="336" /></p> 
    7125 <p style="text-align: center;" align="center"><strong>Figure. 1D plot using the default values (w/300 data points, qmin=0.001, and qmax=0.3).</strong></p> 
    7126 <p style="margin-left: 0.5in; text-align: center;" align="center">&nbsp;</p> 
    7127 <p style="margin-left: 0.25in;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; REFERENCES</p> 
    7128 <p style="margin-left: 0.25in;">PW Schmidt, J Appl Cryst, (1991), 24, 414-435.</p> 
    7129 <p style="margin-left: 0.25in;">AJ Hurd, DW Schaefer, JE Martin, Phys Rev A, (1987), 35, 2361-2364.</p> 
    71307033<p>&nbsp;</p> 
    71317034<p style="margin-left: 0.25in; text-indent: -0.25in;"><strong><span style="font-size: 16pt;">4.</span></strong><strong><span style="font-size: 7pt;">&nbsp;&nbsp;&nbsp; </span></strong><a name="Model"></a><strong><span style="font-size: 16pt;">Customized Models </span></strong></p> 
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