Changeset 1d3a2e7 in sasview for sansmodels/src/sans
- Timestamp:
- Aug 2, 2012 9:03:36 AM (12 years ago)
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- 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
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sansmodels/src/sans/models/media/model_functions.html
r8037f4b r1d3a2e7 260 260 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image005.jpg" alt="sphere_1D_validation" height="315" width="573"></p> 261 261 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 262 <p class="MsoCaption">Figure 1: Comparison of the DANSE262 <p>Figure 1: Comparison of the DANSE 263 263 scattering intensity for 264 264 a sphere with the output of the NIST SANS analysis software. The … … 940 940 941 941 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image014.jpg" alt="core_shell_sphere_1D_validation" height="315" width="573"></p> 942 <p class="MsoCaption">Figure 7: Comparison of the DANSE942 <p>Figure 7: Comparison of the DANSE 943 943 scattering intensity for 944 944 a core-shell sphere with the output of the NIST SANS analysis software. … … 2003 2003 function chosen by an user, where the functions are:</p> 2004 2004 2005 <p class="MsoListParagraph"style="text-indent: -0.25in;">1)<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> 2005 <p style="text-indent: -0.25in;">1)<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> 2006 2006 </span>Exp; </p> 2007 2007 <p ><span style="font-size: 12pt; font-family: "Times New Roman","serif";"><img src="image049.gif"></span></p> 2008 2008 2009 <p class="MsoListParagraph"style="text-indent: -0.25in;">2)<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> 2009 <p style="text-indent: -0.25in;">2)<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> 2010 2010 </span>Power-Law;</p> 2011 2011 2012 <p class="MsoListParagraph"> </p>2012 <p > </p> 2013 2013 <p ><span style="font-size: 12pt; font-family: "Times New Roman","serif";"><img src="image050.gif"></span></p> 2014 2014 2015 2015 2016 <p class="MsoListParagraph"style="text-indent: -0.25in;">3)<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> 2016 <p style="text-indent: -0.25in;">3)<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; font-size: 7pt; line-height: normal; font-size-adjust: none; font-stretch: normal;"> 2017 2017 </span>Erf;</p> 2018 2018 2019 <p class="MsoListParagraph"><span style="font-size: 12pt; font-family: "Times New Roman","serif";"><img src="image051.gif"></span></p>2020 <p class="MsoListParagraph"> </p>2021 <p class="MsoListParagraph"> </p>2019 <p ><span style="font-size: 12pt; font-family: "Times New Roman","serif";"><img src="image051.gif"></span></p> 2020 <p > </p> 2021 <p > </p> 2022 2022 <p >Then the functions are normalized so 2023 2023 that it varies between … … 2601 2601 2602 2602 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image061.jpg" alt="cylinderangles.gif" height="258" width="478"></p> 2603 <p class="MsoCaption"style="text-align: center;" align="center"><a name="_Ref173213915"></a><a name="_Ref173306040"></a>Figure 2a. Definition of2603 <p style="text-align: center;" align="center"><a name="_Ref173213915"></a><a name="_Ref173306040"></a>Figure 2a. Definition of 2604 2604 the angles for oriented cylinders.</p> 2605 2605 2606 2606 2607 2607 <p style="text-align: center;" align="center"><img src="image062.jpg" alt="cylinderangles2.gif" height="313" width="464"></p> 2608 <p class="MsoCaption"style="text-align: center;" align="center">Figure 2b. Examples2608 <p style="text-align: center;" align="center">Figure 2b. Examples 2609 2609 of the angles for oriented cylinders against the detector plane.</p> 2610 2610 … … 2768 2768 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image065.jpg" alt="cylinder_1D_validation" height="315" width="573"></p> 2769 2769 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 2770 <p class="MsoCaption"><a name="_Ref173211066"></a><a name="_Ref173211049"></a>Figure2770 <p><a name="_Ref173211066"></a><a name="_Ref173211049"></a>Figure 2771 2771 3: Comparison of the DANSE scattering intensity for a cylinder with the 2772 2772 output … … 2777 2777 cm<sup> -1</sup>.</p> 2778 2778 2779 <p class="MsoCaption"> </p>2779 <p> </p> 2780 2780 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image066.jpg" alt="cylinder_2D_average" height="315" width="573"></p> 2781 2781 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 2782 <p class="MsoCaption"><a name="_Ref173213305">Figure2782 <p><a name="_Ref173213305">Figure 2783 2783 </a>4: Comparison of the 2784 2784 intensity for uniformly distributed cylinders calculated from our 2D … … 2789 2789 and 2790 2790 Background=0.0 cm<sup> -1</sup>.</p> 2791 <p class="MsoCaption"> </p>2791 <p> </p> 2792 2792 2793 2793 … … 3017 3017 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image070.jpg" alt="core_shell_cylinder_1D_validation" height="315" width="573"></p> 3018 3018 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 3019 <p class="MsoCaption"><a name="_Ref173307149">Figure3019 <p><a name="_Ref173307149">Figure 3020 3020 </a>8: Comparison of the 3021 3021 DANSE scattering intensity for a core-shell cylinder with the output of … … 3028 3028 and Background=0.01 cm<sup> 3029 3029 -1</sup>.</p> 3030 <p class="MsoCaption"> </p>3030 <p> </p> 3031 3031 3032 3032 3033 3033 <p style="text-align: center; page-break-after: avoid;" align="center"><img id="Picture 23" src="image071.jpg" alt="core_shell_cylinder_2D_average" height="315" width="573"></p> 3034 3034 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 3035 <p class="MsoCaption"><a name="_Ref173307204">Figure3035 <p><a name="_Ref173307204">Figure 3036 3036 </a>9: Comparison of the 3037 3037 intensity for uniformly distributed core-shell cylinders calculated … … 3999 3999 4000 4000 <p style="text-align: center;" align="center"><img id="Picture 101" src="image086.jpg" height="215" width="377"></p> 4001 <p class="MsoCaption"style="text-align: center;" align="center">Figure. Examples of4001 <p style="text-align: center;" align="center">Figure. Examples of 4002 4002 the angles for oriented stackeddisks against the detector plane.</p> 4003 4003 … … 4085 4085 4086 4086 <p style="text-align: center;" align="center"><img src="image091.jpg" height="256" width="379"></p> 4087 <p class="MsoCaption"style="text-align: center;" align="center">Figure. Examples of4087 <p style="text-align: center;" align="center">Figure. Examples of 4088 4088 the angles for oriented pp against the detector plane.</p> 4089 4089 … … 4181 4181 4182 4182 4183 <p class="MsoListParagraph"style="margin-left: 1.35in; text-indent: -0.25in;"><span style="font-family: Symbol;">·</span><span style="font-size: 7pt;"> 4183 <p style="margin-left: 1.35in; text-indent: -0.25in;"><span style="font-family: Symbol;">·</span><span style="font-size: 7pt;"> 4184 4184 </span><b>Validation of the parallelepiped 2D model</b></p> 4185 4185 … … 4325 4325 4326 4326 <p style="text-align: center;" align="center"><img id="Picture 103" src="image091.jpg" height="256" width="379"></p> 4327 <p class="MsoCaption"style="text-align: center;" align="center">Figure. Examples of4327 <p style="text-align: center;" align="center">Figure. Examples of 4328 4328 the angles for oriented cspp against the detector plane.</p> 4329 4329 … … 4601 4601 4602 4602 <p style="text-align: center;" align="center"><img id="Picture 114" src="image091.jpg" height="256" width="379"></p> 4603 <p class="MsoCaption"style="text-align: center;" align="center"><span style="font-size: 12pt;">Figure.4603 <p style="text-align: center;" align="center"><span style="font-size: 12pt;">Figure. 4604 4604 Examples of the angles for oriented elliptical 4605 4605 cylinders </span></p> 4606 <p class="MsoCaption"style="text-align: center;" align="center"><span style="font-size: 12pt;">against4606 <p style="text-align: center;" align="center"><span style="font-size: 12pt;">against 4607 4607 the detector plane.</span></p> 4608 4608 … … 4717 4717 4718 4718 4719 <p class="MsoListParagraph"style="margin-left: 1.35in; text-indent: -0.25in;"><span style="font-family: Symbol;">·</span><span style="font-size: 7pt;"> 4719 <p style="margin-left: 1.35in; text-indent: -0.25in;"><span style="font-family: Symbol;">·</span><span style="font-size: 7pt;"> 4720 4720 </span><b>Validation of the elliptical cylinder 2D model</b></p> 4721 4721 … … 5185 5185 5186 5186 5187 <p class="MsoCaption"style="text-align: center;" align="center"><span style="position: relative; top: 12pt;"><img src="image059.PNG"></span> 5187 <p style="text-align: center;" align="center"><span style="position: relative; top: 12pt;"><img src="image059.PNG"></span> 5188 5188 </p> 5189 5189 5190 <p class="MsoCaption"style="text-align: center;" align="center"><span style="position: relative; top: 15pt;"><img src="image119.PNG"></span> 5190 <p style="text-align: center;" align="center"><span style="position: relative; top: 15pt;"><img src="image119.PNG"></span> 5191 5191 </p> 5192 5192 5193 <p class="MsoCaption"style="text-align: center;" align="center"><span style="position: relative; top: 6pt;"><img src="image120.PNG"></span> 5193 <p style="text-align: center;" align="center"><span style="position: relative; top: 6pt;"><img src="image120.PNG"></span> 5194 5194 </p> 5195 5195 … … 5348 5348 5349 5349 <p style="text-align: center;" align="center"><img src="image122.jpg" height="297" width="396"></p> 5350 <p class="MsoCaption"style="text-align: center;" align="center"><span style="font-size: 12pt;">Figure.5350 <p style="text-align: center;" align="center"><span style="font-size: 12pt;">Figure. 5351 5351 Examples of the angles for oriented ellipsoid </span></p> 5352 <p class="MsoCaption"style="text-align: center;" align="center"><span style="font-size: 12pt;">against5352 <p style="text-align: center;" align="center"><span style="font-size: 12pt;">against 5353 5353 the detector plane</span>.</p> 5354 5354 … … 5394 5394 5395 5395 <p style="text-align: center; page-break-after: avoid;" align="center"><b><img id="Picture 16" src="image123.jpg" alt="ellipsoid_1D_validation" height="315" width="573"></b></p> 5396 <p class="MsoCaption"><a name="_Ref173222904">Figure5396 <p><a name="_Ref173222904">Figure 5397 5397 </a>5: Comparison of the 5398 5398 DANSE scattering intensity for an ellipsoid with the output of the NIST … … 5401 5401 Å, 5402 5402 Radius_b=400 Å, </p> 5403 <p class="MsoCaption">Contrast=3e-6 Å<sup> -2</sup>,5403 <p>Contrast=3e-6 Å<sup> -2</sup>, 5404 5404 and Background=0.01 cm<sup> 5405 5405 -1</sup>.</p> … … 5408 5408 <p style="text-align: center; page-break-after: avoid;" align="center"><img src="image124.jpg" alt="ellipsoid_2D_average" height="315" width="573"></p> 5409 5409 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 5410 <p class="MsoCaption"><a name="_Ref173223004">Figure5410 <p><a name="_Ref173223004">Figure 5411 5411 </a>6: Comparison of the 5412 5412 intensity for uniformly distributed ellipsoids calculated from our 2D … … 5417 5417 and 5418 5418 Background=0.0 cm<sup> -1</sup>.</p> 5419 <p class="MsoCaption"> </p>5419 <p> </p> 5420 5420 5421 5421 … … 5774 5774 5775 5775 5776 <p class="MsoListParagraph"style="margin-left: 1.35in; text-indent: -0.25in;"><span style="font-family: Symbol;">·</span><span style="font-size: 7pt;"> 5776 <p style="margin-left: 1.35in; text-indent: -0.25in;"><span style="font-family: Symbol;">·</span><span style="font-size: 7pt;"> 5777 5777 </span><b>Validation of the triaxialellipsoid 2D model</b></p> 5778 5778 … … 5796 5796 5797 5797 <p style="text-align: center;" align="center"><img src="image132.jpg" height="297" width="396"></p> 5798 <p class="MsoCaption"style="text-align: center;" align="center">Figure. Examples of5798 <p style="text-align: center;" align="center">Figure. Examples of 5799 5799 the angles for oriented ellipsoid against the detector plane.</p> 5800 5800 … … 10398 10398 </div> 10399 10399 10400 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;"></span></b></p>10401 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.27.</span></b><b><span style="font-size: 7pt;"> 10400 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;"></span></b></p> 10401 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.27.</span></b><b><span style="font-size: 7pt;"> 10402 10402 </span></b><a name="ReflectivityModel"><b><span style="font-size: 14pt;">ReflectivityModel</span></b></a></p> 10403 10403 10404 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;">This10404 <p style="margin-left: 0.55in; text-indent: -0.3in;">This 10405 10405 model calculates the reflectivity and uses the Parrett algorithm. Up to 10406 10406 nine … … 10417 10417 the error 10418 10418 function, sigma=roughness).</p> 10419 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;">Note:10419 <p style="margin-left: 0.55in; text-indent: -0.3in;">Note: 10420 10420 This model was contributed by an interested user. </p> 10421 10421 … … 10435 10435 10436 10436 10437 <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;"> 10437 <p 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;"> 10438 10438 </span></b><a name="ReflectivityIIModel"><b><span style="font-size: 14pt;">ReflectivityIIModel</span></b></a></p> 10439 10439 … … 10450 10450 the interface between layers, <i><span style="font-family: Symbol;">r</span><sub>inter_i</sub></i>, 10451 10451 is calculated with a function chosen by a user, where the functions are:</p> 10452 <p class="MsoListParagraph"style="margin-left: 0.55in;">1)10452 <p style="margin-left: 0.55in;">1) 10453 10453 Erf; </p> 10454 10454 <p> <img src="image051.gif"></p> 10455 <p class="MsoListParagraph"style="margin-left: 0.55in;">2)10455 <p style="margin-left: 0.55in;">2) 10456 10456 Power-Law; </p> 10457 10457 <p> <span><img src="image050.gif"></span></p> 10458 10458 <p> </p> 10459 10459 <p> </p> 10460 <p class="MsoListParagraph"style="margin-left: 0.55in;">3)10460 <p style="margin-left: 0.55in;">3) 10461 10461 Exp; </p> 10462 10462 <p> <span><img src="image049.gif"></span></p> … … 10470 10470 10471 10471 10472 <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;"> 10472 <p 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;"> 10473 10473 </span></b><a name="GelFitModel"><b><span style="font-size: 14pt;">GelFitModel</span></b></a></p> 10474 10474 … … 10478 10478 accumulations of polymer pinned down by junction points or clusters of such points. The letter is derived from a simple Guinier function.</p> 10479 10479 10480 <p class="MsoListParagraph"style="margin-left: 0.55in;">10480 <p style="margin-left: 0.55in;"> 10481 10481 The scattered intensity I(Q) is then calculated as: </p> 10482 10482 <p> <img src="image233.gif"></p> 10483 <p class="MsoListParagraph"style="margin-left: 0.55in;">10483 <p style="margin-left: 0.55in;"> 10484 10484 Where: </p> 10485 10485 <p> <span><img src="image234.gif"></span></p> … … 10624 10624 10625 10625 10626 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.30.</span></b><b><span style="font-size: 7pt;"> 10626 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">3.30.</span></b><b><span style="font-size: 7pt;"> 10627 10627 </span></b><a name="FractalO_Z"><b><span style="font-size: 14pt;">FractalO_Z</span></b></a></p> 10628 10628 … … 10638 10638 </p> 10639 10639 10640 <p class="MsoListParagraph"style="margin-left: 0.55in;">10640 <p style="margin-left: 0.55in;"> 10641 10641 The scattered intensity I(Q) is then calculated using a modified Ornstein-Zernicke equation: </p> 10642 10642 <p> <img src="image236.gif"></p> 10643 <p class="MsoListParagraph"style="margin-left: 0.55in;">10643 <p style="margin-left: 0.55in;"> 10644 10644 Where: </p> 10645 10645 <p> <span><img src="image237.gif"></span></p> … … 10756 10756 redefined or added by users (See SansView tutorial for details). </p> 10757 10757 10758 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.1.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="testmodel"><b><span style="font-size: 14pt;">testmodel</span></b></a></p>10759 <p class="MsoListParagraph"style="margin-left: 0.55in;"><b><span style="font-size: 14pt;"> </span></b></p>10758 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.1.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="testmodel"><b><span style="font-size: 14pt;">testmodel</span></b></a></p> 10759 <p style="margin-left: 0.55in;"><b><span style="font-size: 14pt;"> </span></b></p> 10760 10760 <p >This function, as an example of a 10761 10761 user defined function, calculates … … 10763 10763 10764 10764 10765 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.2.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="testmodel_2"><b><span style="font-size: 14pt;">testmodel_210765 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.2.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="testmodel_2"><b><span style="font-size: 14pt;">testmodel_2 10766 10766 </span></b></a></p> 10767 10767 … … 10773 10773 10774 10774 10775 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.3.</span></b><b><span style="font-size: 7pt;"> 10775 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.3.</span></b><b><span style="font-size: 7pt;"> 10776 10776 </span></b><a name="sum_p1_p2"><b><span style="font-size: 14pt;">sum_p1_p2 10777 10777 </span></b></a></p> … … 10788 10788 10789 10789 10790 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.4.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="sum_Ap1_1_Ap2"><b><span style="font-size: 14pt;">sum_Ap1_1_Ap210790 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.4.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="sum_Ap1_1_Ap2"><b><span style="font-size: 14pt;">sum_Ap1_1_Ap2 10791 10791 </span></b></a></p> 10792 10792 … … 10801 10801 10802 10802 10803 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.5.</span></b><b><span style="font-size: 7pt;"> 10803 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.5.</span></b><b><span style="font-size: 7pt;"> 10804 10804 </span></b><a name="polynomial5"><b><span style="font-size: 14pt;">polynomial5 10805 10805 </span></b></a></p> … … 10814 10814 10815 10815 10816 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.6.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="sph_bessel_jn"><b><span style="font-size: 14pt;">sph_bessel_jn10816 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">4.6.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="sph_bessel_jn"><b><span style="font-size: 14pt;">sph_bessel_jn 10817 10817 </span></b></a></p> 10818 10818 … … 10825 10825 </p> 10826 10826 10827 <p class="MsoListParagraph"style="margin-left: 0.25in; text-indent: -0.25in;"><b><span style="font-size: 16pt;">5.</span></b><b><span style="font-size: 7pt;"> 10827 <p style="margin-left: 0.25in; text-indent: -0.25in;"><b><span style="font-size: 16pt;">5.</span></b><b><span style="font-size: 7pt;"> 10828 10828 </span></b><a name="Structure_Factors"><b><span style="font-size: 16pt;">Structure 10829 10829 Factors</span></b></a></p> 10830 <p class="MsoListParagraph"style="margin-left: 0.25in;"> </p>10831 <p class="MsoListParagraph"style="margin-left: 0.25in;">The10830 <p style="margin-left: 0.25in;"> </p> 10831 <p style="margin-left: 0.25in;">The 10832 10832 information in this 10833 10833 section is originated from NIST SANS IgorPro package.</p> 10834 10834 10835 10835 10836 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.1.</span></b><b><span style="font-size: 7pt;"> 10836 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.1.</span></b><b><span style="font-size: 7pt;"> 10837 10837 </span></b><a name="HardsphereStructure"><b><span style="font-size: 14pt;">HardSphere 10838 10838 Structure </span></b></a></p> … … 10921 10921 10922 10922 10923 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.2.</span></b><b><span style="font-size: 7pt;"> 10923 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.2.</span></b><b><span style="font-size: 7pt;"> 10924 10924 </span></b><a name="SquareWellStructure"><b><span style="font-size: 14pt;"> SquareWell 10925 10925 Structure </span></b></a></p> … … 11035 11035 <p style="margin-left: 0.5in;"> </p> 11036 11036 11037 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.3.</span></b><b><span style="font-size: 7pt;"> 11037 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.3.</span></b><b><span style="font-size: 7pt;"> 11038 11038 </span></b><a name="HayterMSAStructure"><b><span style="font-size: 14pt;"> HayterMSA 11039 11039 Structure </span></b></a></p> … … 11168 11168 11169 11169 11170 <p class="MsoListParagraph"style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.4.</span></b><b><span style="font-size: 7pt;"> 11170 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">5.4.</span></b><b><span style="font-size: 7pt;"> 11171 11171 </span></b><a name="StickyHSStructure"><b><span style="font-size: 14pt;"> StickyHS Structure </span></b></a></p> 11172 11172
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