Ignore:
Timestamp:
Apr 10, 2017 9:56:55 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:
69e1afc
Parents:
dedcf34
Message:

changes to docs, anticipating new orientation angle integrals

File:
1 edited

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  • sasmodels/models/elliptical_cylinder.py

    r9b79f29 r9802ab3  
    5757define the axis of the cylinder using two angles $\theta$, $\phi$ and $\Psi$ 
    5858(see :ref:`cylinder orientation <cylinder-angle-definition>`). The angle 
    59 $\Psi$ is the rotational angle around its own long_c axis against the $q$ plane. 
    60 For example, $\Psi = 0$ when the $r_\text{minor}$ axis is parallel to the 
    61 $x$ axis of the detector. 
     59$\Psi$ is the rotational angle around its own long_c axis.  
    6260 
    6361All angle parameters are valid and given only for 2D calculation; ie, an 
     
    6664.. figure:: img/elliptical_cylinder_angle_definition.png 
    6765 
    68     Definition of angles for oriented elliptical cylinder, where axis_ratio >1, 
    69     and angle $\Psi$ is a rotation around the axis of the cylinder. 
     66    Definition of angles for oriented elliptical cylinder, where axis_ratio is drawn >1, 
     67    and angle $\Psi$ is now a rotation around the axis of the cylinder. 
    7068 
    7169.. figure:: img/elliptical_cylinder_angle_projection.png 
     
    7371    Examples of the angles for oriented elliptical cylinders against the 
    7472    detector plane, with $\Psi$ = 0. 
     73 
     74The $\theta$ and $\phi$ parameters to orient the cylinder only appear in the model when fitting 2d data.  
     75On introducing "Orientational Distribution" in the angles, "distribution of theta" and "distribution of phi" parameters will 
     76appear. These are actually rotations about the axes $\delta_1$ and $\delta_2$ of the cylinder, the $b$ and $a$ axes of the  
     77cylinder cross section. (When $\theta = \phi = 0$ these are parallel to the $Y$ and $X$ axes of the instrument.)  
     78The third orientation distribution, in $\psi$, is about the $c$ axis of the particle. Some experimentation may be required to  
     79understand the 2d patterns fully. (Earlier implementations had numerical integration issues in some circumstances when orientation  
     80distributions passed through 90 degrees, such situations, with very broad distributions, should still be approached with care.)  
    7581 
    7682NB: The 2nd virial coefficient of the cylinder is calculated based on the 
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