Changeset d18f8a8 in sasmodels for sasmodels/models/lamellarPC.py
- Timestamp:
- Dec 1, 2015 10:30:30 AM (8 years ago)
- Branches:
- master, core_shell_microgels, costrafo411, magnetic_model, release_v0.94, release_v0.95, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- e88bb78
- Parents:
- eb69cce
- File:
-
- 1 edited
Legend:
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sasmodels/models/lamellarPC.py
reb69cce rd18f8a8 23 23 24 24 - *spacing* is the average distance between adjacent layers 25 $\l eft<D\right>$, and25 $\langle D \rangle$, and 26 26 27 27 - *spacing_polydisp* is the relative standard deviation of the Gaussian 28 layer distance distribution $\sigma_D / \l eft<D\right>$.28 layer distance distribution $\sigma_D / \langle D \rangle$. 29 29 30 30 … … 49 49 50 50 51 Z_N(q) = \frac{1 - w^2}{1 + w^2 - 2w \cos(q \l eft<D\right>)}51 Z_N(q) = \frac{1 - w^2}{1 + w^2 - 2w \cos(q \langle D \rangle)} 52 52 + x_N S_N + (1 - x_N) S_{N+1} 53 53 … … 56 56 .. math:: 57 57 58 S_N(q) = \frac{a_N}{N}[1 + w^2 - 2 w \cos(q \l eft<D\right>)]^258 S_N(q) = \frac{a_N}{N}[1 + w^2 - 2 w \cos(q \langle D \rangle)]^2 59 59 60 60 and … … 62 62 .. math:: 63 63 64 \begin{array}{rcl} 65 a_N &=& 4w^2 - 2(w^3 + w) \cos(q \left<D\right>) 66 - 4w^{N+2}\cos(Nq \left<D\right>) \\ 67 &&{} + 2 w^{N+3}\cos[(N-1)q \left<D\right>] 68 + 2w^{N+1}\cos[(N+1)q \left<D\right>] 69 \end{array} 64 a_N &= 4w^2 - 2(w^3 + w) \cos(q \langle D \rangle) \\ 65 &\quad - 4w^{N+2}\cos(Nq \langle D \rangle) 66 + 2 w^{N+3}\cos[(N-1)q \langle D \rangle] 67 + 2w^{N+1}\cos[(N+1)q \langle D \rangle] 70 68 71 69 for the layer spacing distribution $w = \exp(-\sigma_D^2 q^2/2)$.
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