Changeset 9272cbd in sasmodels


Ignore:
Timestamp:
Oct 6, 2016 9:27:44 PM (5 years ago)
Author:
richardh
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
Message:

new figure and documentation edit for core_shell_ellipsoid

Location:
sasmodels/models
Files:
2 edited

Legend:

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  • sasmodels/models/core_shell_ellipsoid.py

    rb99734a r9272cbd  
    1111.. figure:: img/core_shell_ellipsoid_geometry.png 
    1212 
    13 The geometric parameters of this model are 
     13The geometric parameters of this model are shown in the diagram above, which 
     14shows (a) a cross section of the circular equator and (b) a cross section through 
     15the poles, of a prolate ellipsoid. 
    1416 
    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 radii 
    25  
    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) 
    3317When *X_core < 1* the core is oblate; when *X_core > 1* it is prolate. 
    3418*X_core = 1* is a spherical core. 
     
    4125ellipsoid. This may have some undesirable effects if the aspect ratio of the 
    4226ellipsoid 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  
     28custom product model will enable separate effective volume fraction and effective  
     29radius in the $S(q)$. 
    4430 
    4531If SAS data are in absolute units, and the SLDs are correct, then scale should 
     
    5036References 
    5137---------- 
     38see for example: 
     39Kotlarchyk, M.; Chen, S.-H. J. Chem. Phys., 1983, 79, 2461. 
     40Berr, S.  J. Phys. Chem., 1987, 91, 4760. 
    5241 
    53 R K Heenan, 2015, reparametrised the core_shell_ellipsoid model 
     42Authorship 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 
    5448 
    5549""" 
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