- Timestamp:
- Nov 26, 2013 10:39:16 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:
- 941a0b8
- Parents:
- 86d13b5
- Location:
- src/sans/models/media
- Files:
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- 1 added
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src/sans/models/media/model_functions.html
rabf7eed r1327c9b 1844 1844 <p style="text-align: center;" align="center"><span style="position: relative; top: 15pt;"><img src="img/image067.PNG" alt="" /></span> </p> 1845 1845 <p style="text-align: center;" align="center"><span style="position: relative; top: 32pt;"><img src="img/image068.PNG" alt="" /></span> </p> 1846 <p>where <span style="font-family: 'Arial','sans-serif';">α</span> is the angle between the axis of the cylinder and the q-vector, <em>Vs</em> is the volume of the outer shell, <em>Vc</em> is the volume of the core, <em>L</em> is the length of the core, <em>r</em> is the radius of the core, <em>t</em> is the thickness of the shell, <em>ρc</em> is the scattering length density of the core, <em>ρs</em> is the scattering length density of the shell, ρsolv is the scattering length density of the solvent, and <em>bkg</em> is the background level. The outer radius of the shell is given by <em>r+t</em> and the total length of the outer shell is given by <em>L+2t</em>. J1 is the first order Bessel function.</p> 1846 <p style="text-align: center;" align="center"><span style="position: relative; top: 32pt;"><img src="img/image239.PNG" alt="" /></span> </p> 1847 <p>where <span style="font-family: 'Arial','sans-serif';">α</span> is the angle between the axis of the cylinder and the q-vector, <em>Vs</em> is the volume of the outer shell (i.e. the total volume, including the shell), <em>Vc</em> is the volume of the core, <em>L</em> is the length of the core, <em>r</em> is the radius of the core, <em>t</em> is the thickness of the shell, <em>ρc</em> is the scattering length density of the core, <em>ρs</em> is the scattering length density of the shell, ρsolv is the scattering length density of the solvent, and <em>bkg</em> is the background level. The outer radius of the shell is given by <em>r+t</em> and the total length of the outer shell is given by <em>L+2t</em>. J1 is the first order Bessel function.</p> 1847 1848 <p style="text-align: center;" align="center"><img src="img/image069.jpg" alt="" width="449" height="230" /></p> 1848 1849 <p>To provide easy access to the orientation of the core-shell cylinder, we define the axis of the cylinder using two angles θ and <span style="font-family: 'Arial','sans-serif';">φ</span>. Similarly to the case of the cylinder, those angles are defined on Figure 2 in Cylinder Model.</p> … … 1993 1994 <p style="text-align: center;" align="center"><img src="img/image062.jpg" alt="" width="379" height="256" /></p> 1994 1995 <p style="text-align: center;" align="center">Figure. Examples of the angles for oriented pp against the detector plane.</p> 1996 1997 1998 <p style="margin-left: 0.25in;"><i>2013/11/26 - Description reviewed by Heenan, R.</i></p> 1995 1999 1996 2000 <p style="margin-left: 0.55in; text-indent: -0.3in;"><b><span style="font-size: 14pt;">2.16.</span></b><b><span style="font-size: 7pt;"> </span></b><a name="CoreShellBicelleModel"></a><b><span style="font-size: 14pt;">Core-Shell (Cylinder) Bicelle Model</span></b></p>
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