Changeset 9802ab3 in sasmodels for sasmodels/models/cylinder.py
- Timestamp:
- Apr 10, 2017 11:56:55 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:
- 69e1afc
- Parents:
- dedcf34
- File:
-
- 1 edited
Legend:
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sasmodels/models/cylinder.py
r9b79f29 r9802ab3 61 61 .. _cylinder-angle-definition: 62 62 63 .. figure:: img/cylinder_angle_definition. jpg63 .. figure:: img/cylinder_angle_definition.png 64 64 65 Definition of the angles for oriented cylinders. 65 Definition of the $\theta$ and $\phi$ orientation angles for a cylinder relative 66 to the beam line coordinates, plus an indication of their orientation distributions 67 which are described as rotations about each of the perpendicular axes $\delta_1$ and $\delta_2$ 68 in the frame of the cylinder itself, which when $\theta = \phi = 0$ are parallel to the $Y$ and $X$ axes. 66 69 67 70 .. figure:: img/cylinder_angle_projection.png … … 69 72 Examples for oriented cylinders. 70 73 71 The $\theta$ and $\phi$ parameters only appear in the model when fitting 2d data. 74 The $\theta$ and $\phi$ parameters to orient the cylinder only appear in the model when fitting 2d data. 75 On introducing "Orientational Distribution" in the angles, "distribution of theta" and "distribution of phi" parameters will 76 appear. These are actually rotations about the axes $\delta_1$ and $\delta_2$ of the cylinder, which when $\theta = \phi = 0$ are parallel 77 to the $Y$ and $X$ axes of the instrument respectively. Some experimentation may be required to understand the 2d patterns fully. 78 (Earlier implementations had numerical integration issues in some circumstances when orientation distributions passed through 90 degrees, such 79 situations, with very broad distributions, should still be approached with care.) 72 80 73 81 Validation
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