Changeset eb69cce in sasmodels for sasmodels/models/lamellarCailleHG.py
- Timestamp:
- Nov 30, 2015 9:18:41 PM (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:
- d18f8a8
- Parents:
- d138d43
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/models/lamellarCailleHG.py
r3e428ec reb69cce 2 2 r""" 3 3 This model provides the scattering intensity, $I(q) = P(q)S(q)$, for a lamellar 4 phase where a random distribution in solution are assumed. Here a Caille $S( Q)$4 phase where a random distribution in solution are assumed. Here a Caille $S(q)$ 5 5 is used for the lamellar stacks. 6 6 … … 31 31 .. math:: 32 32 33 \begin{eqnarray} 34 \alpha(n) &=& \frac{\eta_{cp}}{4\pi^2} \left(\ln(\pi n)+\gamma_E\right) \\ 35 \gamma_E &=& 0.5772156649&&\text{Euler's constant} \\ 36 \eta_{cp} &=& \frac{q_o^2k_B T}{8\pi\sqrt{K\overline{B}}} && \text{Caille constant} 37 \end{eqnarray} 33 %\begin{align*} % isn't working with pdflatex 34 \begin{array}{rll} 35 \alpha(n) &= \frac{\eta_{cp}}{4\pi^2} \left(\ln(\pi n)+\gamma_E\right) 36 & \\ 37 \gamma_E &= 0.5772156649 38 & \text{Euler's constant} \\ 39 \eta_{cp} &= \frac{q_o^2k_B T}{8\pi\sqrt{K\overline{B}}} 40 & \text{Caille constant} \\ 41 & 42 \end{array} 38 43 39 44 … … 59 64 q = \sqrt{q_x^2 + q_y^2} 60 65 61 The returned value is in units of |cm^-1|, on absolute scale. 66 .. figure:: img/lamellarCailleHG_1d.jpg 62 67 63 .. image:: img/lamellarCailleHG_1d.jpg 68 1D plot using the default values (w/6000 data point). 64 69 65 *Figure. 1D plot using the default values (w/6000 data point).* 66 67 Our model uses the form factor calculations implemented in a C library provided 68 by the NIST Center for Neutron Research (Kline, 2006). 69 70 REFERENCE 70 References 71 ---------- 71 72 72 73 F Nallet, R Laversanne, and D Roux, J. Phys. II France, 3, (1993) 487-502
Note: See TracChangeset
for help on using the changeset viewer.