Changeset 083e993 in sasview for src/sans/models
- Timestamp:
- Jan 6, 2014 10:46:26 AM (11 years ago)
- 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:
- 76cd1ae
- Parents:
- 3f484b0
- Location:
- src/sans/models/media
- Files:
-
- 2 edited
Legend:
- Unmodified
- Added
- Removed
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src/sans/models/media/model_functions.html
r1327c9b r083e993 33 33 <p>The 1D scattering intensity is calculated in the following way (Guinier, 1955):</p> 34 34 <p style="text-align: center;" align="center"><span style="position: relative; top: 16pt;"><img src="img/image004.PNG" alt="" /></span></p> 35 <p>where r is the radius of the sphere, bkg is the background level and sldXXX is the scattering length density (SLD) of the scatterer or the solvent.<\p>36 <p>Note that if your data is on an absolute scale, the 'scale' should represent the volume fraction (unitless) * volume of a scatterer, V.</p>35 <p>where scale is a volume fraction, V is the volume of the scatterer, r is the radius of the sphere, bkg is the background level and sldXXX is the scattering length density (SLD) of the scatterer or the solvent.<\p> 36 <p>Note that if your data is in absolute scale, the 'scale' should represent the volume fraction (unitless) if you have a good fit. If not, it should represent the volume fraction * a factor (by which your data might need to be rescaled).</p> 37 37 <p>The 2D scattering intensity is the same as above, regardless of the orientation of the q vector.</p> 38 38 <p>The returned value is scaled to units of [cm-1] and the parameters of the sphere model are the following:</p> … … 115 115 <p style="text-align: center; page-break-after: avoid;" align="center"> </p> 116 116 <p>Figure 1: Comparison of the DANSE scattering intensity for a sphere with the output of the NIST SANS analysis software. The parameters were set to: Scale=1.0, Radius=60 Å, Contrast=1e-6 Å -2, and Background=0.01 cm -1.</p> 117 <p style="margin-left: 0.25in;"><i>2013/09/09 - Description reviewed by King, S. and Parker, P.</i></p>117 <p style="margin-left: 0.25in;"><i>2013/09/09 and 2014/01/06 - Description reviewed by King, S. and Parker, P.</i></p> 118 118 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">2.2.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="BinaryHSModel"></a><b><span style="font-size: 14pt;">BinaryHSModel</span></b></p> 119 119 <p>This model (binary hard sphere model) provides the scattering intensity, for binary mixture of spheres including hard sphere interaction between those particles. Using Percus-Yevick closure, the calculation is an exact multi-component solution:</p>
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