Changeset 80ff71e in sasview


Ignore:
Timestamp:
Jul 16, 2012 11:05:11 AM (12 years ago)
Author:
Robert Whitley <robert.whitley@…>
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:
07eb396
Parents:
2a66329
Message:

Refs #84. Add help page for FractalO_Z.

Location:
sansmodels/src/sans/models/media
Files:
3 added
1 edited

Legend:

Unmodified
Added
Removed

  • sansmodels/src/sans/models/media/model_functions.html

    rdc9660d r80ff71e  
    473473<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="model_functions.html#ReflectivityIIModel">, </a><a href="#Surface_Fractal">SurfaceFractalModel</a>, 
    474474<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>, 
    475 <a href="#ReflectivityIIModel">ReflectivityIIModel</a>, <a href="#GelFitModel">GelFitModel</a>.</li> 
     475<a href="#ReflectivityIIModel">ReflectivityIIModel</a>, <a href="#GelFitModel">GelFitModel</a>, <a href="#FractalO_Z">FractalO_Z</a>.</li> 
    476476<li class="MsoNormal" style="line-height: 115%;"><a href="#Model"><b>Customized Models</b></a>: 
    477477<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> 
    … …  
    1093410934model was implemented by an interested user. </p> 
    1093510935 
    10936  
    10937  
    10938  
    10939  
    10940  
    1094110936<p>&nbsp;</p> 
    1094210937<p>&nbsp;</p> 
    … …  
    1106611061Simon Mallam, Ferenc Horkay, Anne-Marie Hecht, Adrian R. Rennie, Erik Geissler, Macromolecules 1991, 24, 543-548.</p> 
    1106711062 
    11068  
    11069  
     11063<p>&nbsp;</p> 
     11064<p>&nbsp;</p> 
     11065<p class="MsoListParagraph" style="margin-left: 0.55in; text-indent: -0.3in;"></p> 
     11066<p class="MsoListParagraph" style="margin-left: 0.55in; text-indent: -0.3in;">&nbsp;</p> 
     11067<p class="MsoListParagraph" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.28.</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; 
     11068</span></b><a name="FractalO_Z"><b><span style="font-size: 14pt;">FractalO_Z</span></b></a></p> 
     11069<p class="MsoListParagraph" style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">&nbsp;</span></b></p> 
     11070<p class="MsoNormal">&nbsp;&nbsp;&nbsp; A number of natural and commercial processes form high-surface area materials as a result of  
     11071the vapour-phase aggregation of primary particles. Examples of such materials include soots, aerosols, and ‘fume’ or pyrogenic silicas. 
     11072 These are all characterised by cluster mass distributions (sometimes also cluster size distributions) and internal surfaces that are 
     11073 fractal in nature. 
     11074 &nbsp; 
     11075 The scattering from such materials displays two distinct breaks in log-log representation, corresponding to the radius-of-gyration of 
     11076 the primary particles, r<sub>g</sub>, and the radius-of-gyration of the clusters (aggregates), R<sub>g</sub>. Between these boundaries  
     11077 the scattering follows a power law related to the mass fractal dimension, D<sub>m</sub>, whilst above the high-Q boundary the scattering 
     11078 follows a power law related to the surface fractal dimension of the primary particles, D<sub>s</sub>. 
     11079</p> 
     11080<p>&nbsp;</p> 
     11081<p class="MsoListParagraph" style="margin-left: 0.55in;"> 
     11082The scattered intensity I(Q) is then calculated using a modified Ornstein-Zernicke equation: </p> 
     11083<p> <img src="image236.gif"></p> 
     11084<p class="MsoListParagraph" style="margin-left: 0.55in;"> 
     11085Where: </p> 
     11086<p> <span><img src="image237.gif"></span></p> 
     11087<p> </p> 
     11088<p>&nbsp;</p> 
     11089<p class="MsoNormal">&nbsp;&nbsp;&nbsp; This example dataset was produced using 300 data points, qmin=0.001 Å-1, qmax=0.3 Å-1 and the default values: </p> 
     11090<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p> 
     11091<p class="MsoNormal" style="margin-left: 0.25in; text-align: center;" align="center"><b>Default 
     11092input parameter values</b></p> 
     11093<div align="center"> 
     11094<table class="MsoNormalTable" style="border-collapse: collapse;" border="2" cellpadding="0" cellspacing="0"> 
     11095<tbody> 
     11096<tr style="height: 19.25pt;"> 
     11097<td style="border: 1pt solid windowtext; padding: 0in 5.4pt; width: 107pt; height: 19.25pt;" valign="top" width="143"> 
     11098<p class="MsoBodyText">Parameter name</p> 
     11099</td> 
     11100<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"> 
     11101<p class="MsoBodyText">Units</p> 
     11102</td> 
     11103<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"> 
     11104<p class="MsoBodyText">Default value</p> 
     11105</td> 
     11106</tr> 
     11107<tr style="height: 19.25pt;"> 
     11108<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"> 
     11109<p class="MsoBodyText">Background</p> 
     11110</td> 
     11111<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"> 
     11112<p class="MsoBodyText">cm<sup>-1</sup></p> 
     11113</td> 
     11114<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"> 
     11115<p class="MsoBodyText">0.01</p> 
     11116</td> 
     11117</tr> 
     11118<tr style="height: 19.25pt;"> 
     11119<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;"> 
     11120<p class="MsoBodyText">Scale</p> 
     11121</td> 
     11122<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"> 
     11123<p class="MsoBodyText">cm<sup>-1</sup></p> 
     11124</td> 
     11125<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"> 
     11126<p class="MsoBodyText">10000.0</p> 
     11127</td> 
     11128</tr> 
     11129<tr style="height: 19.25pt;"> 
     11130<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"> 
     11131<p class="MsoBodyText">Cluster Rg</p> 
     11132</td> 
     11133<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"> 
     11134<p class="MsoBodyText">Å</p> 
     11135</td> 
     11136<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"> 
     11137<p class="MsoBodyText">3520.0</p> 
     11138</td> 
     11139</tr> 
     11140<tr style="height: 19.25pt;"> 
     11141<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"> 
     11142<p class="MsoBodyText">Mass fractal exponent</p> 
     11143</td> 
     11144<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"></td> 
     11145<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"> 
     11146<p class="MsoBodyText">1.8</p> 
     11147</td> 
     11148</tr> 
     11149<tr style="height: 19.25pt;"> 
     11150<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"> 
     11151<p class="MsoBodyText">Primary particle Rg</p> 
     11152</td> 
     11153<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"> 
     11154<p class="MsoBodyText">Å</p> 
     11155</td> 
     11156<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"> 
     11157<p class="MsoBodyText">82.0</p> 
     11158</td> 
     11159</tr> 
     11160<tr style="height: 19.25pt;"> 
     11161<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"> 
     11162<p class="MsoBodyText">Surface fractal exponent</p> 
     11163</td> 
     11164<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"> 
     11165<p class="MsoBodyText">cm<sup>-1</sup></p> 
     11166</td> 
     11167<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"> 
     11168<p class="MsoBodyText">2.5</p> 
     11169</td> 
     11170</tr> 
     11171</tbody> 
     11172</table> 
     11173</div> 
     11174<p class="MsoNormal" style="margin-left: 0.5in;">&nbsp;</p> 
     11175<p class="MsoNormal" style="margin-left: 0.5in;">&nbsp;</p> 
     11176<p class="MsoNormal" style="margin-left: 0.5in; text-align: center;" align="center"><img id="Picture 11" src="image238.gif" height="336" width="470"></p> 
     11177<p class="MsoNormal" style="text-align: center;" align="center"><b>Figure. 
     111781D plot using the default values (w/300 data points, qmin=0.001, and qmax=0.3).</b></p> 
     11179<p class="MsoNormal" style="margin-left: 0.5in; text-align: center;" align="center">&nbsp;</p> 
     11180<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;</p> 
     11181<p class="MsoNormal" style="margin-left: 0.25in;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
     11182REFERENCES</p> 
     11183<p class="MsoNormal" style="margin-left: 0.25in;"> 
     11184PW Schmidt, J Appl Cryst, (1991), 24, 414-435.</p> 
     11185<p class="MsoNormal" style="margin-left: 0.25in;"> 
     11186AJ Hurd, DW Schaefer, JE Martin, Phys Rev A, (1987), 35, 2361-2364.</p> 
    1107011187 
    1107111188<p class="MsoNormal"><b><span style="font-size: 14pt;">&nbsp;</span></b></p> 
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