# Changeset 331870d in sasmodels

Ignore:
Timestamp:
Mar 18, 2018 2:40:22 PM (6 years ago)
Branches:
master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
Children:
5bc6d21
Parents:
9616dfe
Message:

A few typos corrected

File:
1 edited

### Legend:

Unmodified
 rdbf1a60 .. figure:: img/parallelepiped_geometry.jpg Core of the core shell Parallelepiped with the corresponding definition Core of the core shell parallelepiped with the corresponding definition of sides. .. figure:: img/core_shell_parallelepiped_projection.jpg AB cut through the core-shell parllelipiped showing the cross secion of four of the six shell slabs. As can be seen This model leaves **"gaps"** AB cut through the core-shell parallelipiped showing the cross secion of four of the six shell slabs. As can be seen, this model leaves **"gaps"** at the corners of the solid. .. math:: S(Q_X, L) = L \frac{\sin \tfrac{1}{2} Q_X L}{\tfrac{1}{2} Q_X L} S(Q_X, L) = L \frac{\sin (\tfrac{1}{2} Q_X L)}{\tfrac{1}{2} Q_X L} and where $\rho_\text{core}$, $\rho_\text{A}$, $\rho_\text{B}$ and $\rho_\text{C}$ are the scattering length of the parallelepiped core, and the rectangular are the scattering lengths of the parallelepiped core, and the rectangular slabs of thickness $t_A$, $t_B$ and $t_C$, respectively. $\rho_\text{solvent}$ is the scattering length of the solvent. based on the the averaged effective radius $(=\sqrt{(A+2t_A)(B+2t_B)/\pi})$ and length $(C+2t_C)$ values, after appropriately sorting the three dimensions to give an oblate or prolate particle, to give an effective radius, to give an oblate or prolate particle, to give an effective radius for $S(q)$ when $P(q) * S(q)$ is applied. For 2d data the orientation of the particle is required, described using angles $\theta$, $\phi$ and $\Psi$ as in the diagrams below, for further angles $\theta$, $\phi$ and $\Psi$ as in the diagrams below. For further details of the calculation and angular dispersions see :ref:orientation. The angle $\Psi$ is the rotational angle around the *long_c* axis. For example, Note that rotation $\theta$, initially in the $xz$ plane, is carried out first, then rotation $\phi$ about the $z$ axis, finally rotation $\Psi$ is now around the axis of the cylinder. The neutron or X-ray $\Psi$ is now around the axis of the particle. The neutron or X-ray beam is along the $z$ axis. * **Author:** NIST IGOR/DANSE **Date:** pre 2010 * **Converted to sasmodels by:** Miguel Gonzales **Date:** February 26, 2016 * **Converted to sasmodels by:** Miguel Gonzalez **Date:** February 26, 2016 * **Last Modified by:** Paul Kienzle **Date:** October 17, 2017 * Cross-checked against hollow rectangular prism and rectangular prism for