Changeset 15a90c1 in sasmodels for sasmodels/models/triaxial_ellipsoid.py
- Timestamp:
- Apr 6, 2017 11:20:47 AM (7 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:
- 14207bb
- Parents:
- 4aaf89a
- File:
-
- 1 edited
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sasmodels/models/triaxial_ellipsoid.py
r4aaf89a r15a90c1 65 65 To provide easy access to the orientation of the triaxial ellipsoid, 66 66 we define the axis of the cylinder using the angles $\theta$, $\phi$ 67 and $\psi$. These angles are defined on 68 :numref:`triaxial-ellipsoid-angles` . 67 and $\psi$. 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 69 74 The angle $\psi$ is the rotational angle around its own $c$ axis 70 75 against the $q$ plane. For example, $\psi = 0$ when the … … 73 78 .. _triaxial-ellipsoid-angles: 74 79 75 .. figure:: img/triaxial_ellipsoid_angle_projection. jpg80 .. figure:: img/triaxial_ellipsoid_angle_projection.png 76 81 77 The angles for oriented ellipsoid.82 Some example angles for oriented ellipsoid. 78 83 79 84 The radius-of-gyration for this system is $R_g^2 = (R_a R_b R_c)^2/5$. … … 81 86 The contrast $\Delta\rho$ is defined as SLD(ellipsoid) - SLD(solvent). In the 82 87 parameters, $R_a$ is the minor equatorial radius, $R_b$ is the major 83 equatorial radius, and $R_c$ is the polar radius of the ellipsoid. 88 equatorial radius, and $R_c$ is the polar radius of the ellipsoid. 84 89 85 90 NB: The 2nd virial coefficient of the triaxial solid ellipsoid is
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