Changeset 9272cbd in sasmodels
- Timestamp:
- Oct 6, 2016 7:27:44 PM (8 years ago)
- Branches:
- master, core_shell_microgels, costrafo411, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- 6ae7957
- Parents:
- b3f2a24
- Location:
- sasmodels/models
- Files:
-
- 2 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/models/core_shell_ellipsoid.py
rb99734a r9272cbd 11 11 .. figure:: img/core_shell_ellipsoid_geometry.png 12 12 13 The geometric parameters of this model are 13 The geometric parameters of this model are shown in the diagram above, which 14 shows (a) a cross section of the circular equator and (b) a cross section through 15 the poles, of a prolate ellipsoid. 14 16 15 *radius_equat_core =* equatorial core radius *= Rminor_core*16 17 *X_core = polar_core / radius_equat_core = Rmajor_core / Rminor_core*18 19 *Thick_shell = equat_outer - radius_equat_core = Rminor_outer - Rminor_core*20 21 *XpolarShell = Tpolar_shell / Thick_shell = (Rmajor_outer - Rmajor_core)/22 (Rminor_outer - Rminor_core)*23 24 In terms of the original radii25 26 *polar_core = radius_equat_core * X_core*27 28 *equat_shell = radius_equat_core + Thick_shell*29 30 *polar_shell = radius_equat_core * X_core + Thick_shell * XpolarShell*31 32 (where we note that "shell" perhaps confusingly, relates to the outer radius)33 17 When *X_core < 1* the core is oblate; when *X_core > 1* it is prolate. 34 18 *X_core = 1* is a spherical core. … … 41 25 ellipsoid. This may have some undesirable effects if the aspect ratio of the 42 26 ellipsoid is large (ie, if $X << 1$ or $X >> 1$ ), when the $S(q)$ 43 - which assumes spheres - will not in any case be valid. 27 - which assumes spheres - will not in any case be valid. Generating a 28 custom product model will enable separate effective volume fraction and effective 29 radius in the $S(q)$. 44 30 45 31 If SAS data are in absolute units, and the SLDs are correct, then scale should … … 50 36 References 51 37 ---------- 38 see for example: 39 Kotlarchyk, M.; Chen, S.-H. J. Chem. Phys., 1983, 79, 2461. 40 Berr, S. J. Phys. Chem., 1987, 91, 4760. 52 41 53 R K Heenan, 2015, reparametrised the core_shell_ellipsoid model 42 Authorship and Verification 43 ---------------------------- 44 45 * **Author:** NIST IGOR/DANSE **Date:** pre 2010 46 * **Last Modified by:** Richard Heenan (reparametrised model) **Date:** 2015 47 * **Last Reviewed by:** Richard Heenan **Date:** October 6, 2016 54 48 55 49 """
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