Changeset 82592da in sasmodels for doc/guide/orientation
- Timestamp:
- Nov 6, 2017 1:12:33 PM (7 years ago)
- Branches:
- master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- c11d09f
- Parents:
- 17db833
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
doc/guide/orientation/orientation.rst
r3d40839 r82592da 62 62 care for large ranges of angle. 63 63 64 Note that the form factors for asymmetric particles are also performing 65 numerical integrations over one or more variables, so care should be taken, 66 especially with very large particles or more extreme aspect ratios. Users can 67 experiment with the values of *Npts* and *Nsigs*, the number of steps used in the 68 integration and the range spanned in number of standard deviations. The 69 standard deviation is entered in units of degrees. For a rectangular 70 (uniform) distribution the full width should be $\pm \sqrt(3)$ ~ 1.73 standard 71 deviations (this may be changed soon). 64 .. note:: 65 Note that the form factors for oriented particles are also performing 66 numerical integrations over one or more variables, so care should be taken, 67 especially with very large particles or more extreme aspect ratios. In such 68 cases results may not be accurate, particularly at very high Q, unless the model 69 has been specifically coded to use limiting forms of the scattering equations. 70 71 For best numerical results keep the $\theta$ distribution narrower than the $\phi$ 72 distribution. Thus for asymmetric particles, such as elliptical_cylinder, you may 73 need to reorder the sizes of the three axes to acheive the desired result. 74 This is due to the issues of mapping a rectangular distribution onto the 75 surface of a sphere. 72 76 73 Where appropriate, for best numerical results, keep $a < b < c$ and the 74 $\theta$ distribution narrower than the $\phi$ distribution. 77 Users can experiment with the values of *Npts* and *Nsigs*, the number of steps 78 used in the integration and the range spanned in number of standard deviations. 79 The standard deviation is entered in units of degrees. For a "rectangular" 80 distribution the full width should be $\pm \sqrt(3)$ ~ 1.73 standard deviations. 81 The new "uniform" distribution avoids this by letting you directly specify the 82 half width. 83 84 The angular distributions will be truncated outside of the range -180 to +180 85 degrees, so beware of using saying a broad Gaussian distribution with large value 86 of *Nsigs*, as the array of *Npts* may be truncated to many fewer points than would 87 give a good integration,as well as becoming rather meaningless. (At some point 88 in the future the actual polydispersity arrays may be made available to the user 89 for inspection.) 75 90 76 91 Some more detailed technical notes are provided in the developer section of … … 79 94 *Document History* 80 95 81 | 2017-1 0-27Richard Heenan96 | 2017-11-06 Richard Heenan
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