Changeset df89d77 in sasmodels
- Timestamp:
- Mar 20, 2017 12:39:44 PM (8 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:
- 4788822
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/models/fractal.py
r4788822 rdf89d77 20 20 .. math:: 21 21 22 P(q)&= F(qR_0)^2 23 24 F(q)&= \frac{3 (\sin x - x \cos x)}{x^3} 25 26 V_\text{particle} &= \frac{4}{3}\ \pi R_0 27 22 P(q)&= F(qR_0)^2 \\ 23 F(q)&= \frac{3 (\sin x - x \cos x)}{x^3} \\ 24 V_\text{particle} &= \frac{4}{3}\ \pi R_0 \\ 28 25 S(q) &= 1 + \frac{D_f\ \Gamma\!(D_f-1)}{[1+1/(q \xi)^2\ ]^{(D_f -1)/2}} 29 26 \frac{\sin[(D_f-1) \tan^{-1}(q \xi) ]}{(q R_0)^{D_f}} … … 32 29 is the fractal dimension, representing the self similarity of the structure. 33 30 Note that S(q) here goes negative if $D_f$ is too large, and the Gamma function 34 diverges at $D_f $=0 and $D_f$=1.31 diverges at $D_f=0$ and $D_f=1$. 35 32 36 33 **Polydispersity on the radius is provided for.**
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