Changeset df89d77 in sasmodels
 Timestamp:
 Mar 20, 2017 12:39:44 PM (3 years ago)
 Branches:
 master, core_shell_microgels, costrafo411, magnetic_model, ticket1257vesicleproduct, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
 Children:
 3a45c2c
 Parents:
 4788822
 File:

 1 edited
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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_f1)}{[1+1/(q \xi)^2\ ]^{(D_f 1)/2}} 29 26 \frac{\sin[(D_f1) \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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