Changeset fcb33e4 in sasmodels for sasmodels/models/capped_cylinder.py
- Timestamp:
- Jan 4, 2017 6:09:53 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:
- 473a9f1, b7e8b94
- Parents:
- 64614ad
- File:
-
- 1 edited
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sasmodels/models/capped_cylinder.py
r0d6e865 rfcb33e4 21 21 .. math:: 22 22 23 I(q) = \frac{\Delta \rho^2}{V} \left<A^2(q )\right>23 I(q) = \frac{\Delta \rho^2}{V} \left<A^2(q,\alpha).sin(\alpha)\right> 24 24 25 where the amplitude $A(q )$ is given as25 where the amplitude $A(q,\alpha)$ with the rod axis at angle $\alpha$ to $q$ is given as 26 26 27 27 .. math:: 28 28 29 29 A(q) =&\ \pi r^2L 30 \frac{\sin\left(\tfrac12 qL\cos\ theta\right)}31 {\tfrac12 qL\cos\ theta}32 \frac{2 J_1(qr\sin\ theta)}{qr\sin\theta} \\30 \frac{\sin\left(\tfrac12 qL\cos\alpha\right)} 31 {\tfrac12 qL\cos\alpha} 32 \frac{2 J_1(qr\sin\alpha)}{qr\sin\alpha} \\ 33 33 &\ + 4 \pi R^3 \int_{-h/R}^1 dt 34 \cos\left[ q\cos\ theta34 \cos\left[ q\cos\alpha 35 35 \left(Rt + h + {\tfrac12} L\right)\right] 36 36 \times (1-t^2) 37 \frac{J_1\left[qR\sin\ theta \left(1-t^2\right)^{1/2}\right]}38 {qR\sin\ theta \left(1-t^2\right)^{1/2}}37 \frac{J_1\left[qR\sin\alpha \left(1-t^2\right)^{1/2}\right]} 38 {qR\sin\alpha \left(1-t^2\right)^{1/2}} 39 39 40 40 The $\left<\ldots\right>$ brackets denote an average of the structure over … … 88 88 * **Author:** NIST IGOR/DANSE **Date:** pre 2010 89 89 * **Last Modified by:** Paul Butler **Date:** September 30, 2016 90 * **Last Reviewed by:** Richard Heenan **Date:** March 19, 2016 90 * **Last Reviewed by:** Richard Heenan **Date:** January 4, 2017 91 91 92 """ 92 93 from numpy import inf
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