Changeset 30b60d2 in sasmodels for sasmodels/models/surface_fractal.py
- Timestamp:
- Sep 5, 2017 2:39:41 PM (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:
- 3a45c2c
- Parents:
- 64eecf7
- File:
-
- 1 edited
Legend:
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sasmodels/models/surface_fractal.py
r48462b0 r30b60d2 9 9 10 10 .. math:: 11 :nowrap: 11 12 13 \begin{align*} 12 14 I(q) &= \text{scale} \times P(q)S(q) + \text{background} \\ 13 15 P(q) &= F(qR)^2 \\ … … 15 17 S(q) &= \Gamma(5-D_S)\xi^{\,5-D_S}\left[1+(q\xi)^2 \right]^{-(5-D_S)/2} 16 18 \sin\left[-(5-D_S) \tan^{-1}(q\xi) \right] q^{-1} \\ 17 \text{scale} &= \text{scale _factor}\, N V^2(\rho_\text{particle} - \rho_\text{solvent})^2 \\19 \text{scale} &= \text{scale factor}\, N V^1(\rho_\text{particle} - \rho_\text{solvent})^2 \\ 18 20 V &= \frac{4}{3}\pi R^3 21 \end{align*} 19 22 20 23 where $R$ is the radius of the building block, $D_S$ is the **surface** fractal
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