Changeset 15a90c1 in sasmodels for sasmodels/models/triaxial_ellipsoid.py


Ignore:
Timestamp:
Apr 6, 2017 11:20:47 AM (7 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:
14207bb
Parents:
4aaf89a
Message:

more changes for new axes, and a bug in cylinder.py docs

File:
1 edited

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  • sasmodels/models/triaxial_ellipsoid.py

    r4aaf89a r15a90c1  
    6565To provide easy access to the orientation of the triaxial ellipsoid, 
    6666we define the axis of the cylinder using the angles $\theta$, $\phi$ 
    67 and $\psi$. These angles are defined on 
    68 :numref:`triaxial-ellipsoid-angles` . 
     67and $\psi$. These angles are defined analogously to the elliptical_cylinder below 
     68 
     69.. figure:: img/elliptical_cylinder_angle_definition.png 
     70 
     71    Definition of angles for oriented triaxial ellipsoid, where radii shown here are $a < b << c$ 
     72    and angle $\Psi$ is a rotation around the axis of the particle. 
     73 
    6974The angle $\psi$ is the rotational angle around its own $c$ axis 
    7075against the $q$ plane. For example, $\psi = 0$ when the 
     
    7378.. _triaxial-ellipsoid-angles: 
    7479 
    75 .. figure:: img/triaxial_ellipsoid_angle_projection.jpg 
     80.. figure:: img/triaxial_ellipsoid_angle_projection.png 
    7681 
    77     The angles for oriented ellipsoid. 
     82    Some example angles for oriented ellipsoid. 
    7883 
    7984The radius-of-gyration for this system is  $R_g^2 = (R_a R_b R_c)^2/5$. 
     
    8186The contrast $\Delta\rho$ is defined as SLD(ellipsoid) - SLD(solvent).  In the 
    8287parameters, $R_a$ is the minor equatorial radius, $R_b$ is the major 
    83 equatorial radius, and $R_c$ is the polar radius of the ellipsoid. 
     88equatorial radius, and $R_c$ is the polar radius of the ellipsoid.  
    8489 
    8590NB: The 2nd virial coefficient of the triaxial solid ellipsoid is 
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