Changeset eb69cce in sasmodels for sasmodels/models/lamellar.py
- Timestamp:
- Nov 30, 2015 7:18:41 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
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sasmodels/models/lamellar.py
r38d8774 reb69cce 5 5 ---------- 6 6 7 The scattering intensity *I(Q)*is7 The scattering intensity $I(q)$ is 8 8 9 9 .. math:: 10 10 11 I( Q) = 2\pi{P(Q) \over \delta Q^2}11 I(q) = \frac{2\pi P(q)}{\delta q^2} 12 12 13 13 … … 16 16 .. math:: 17 17 18 P( Q) = {2\Delta\rho^2 \over Q^2}(1-cos(Q\delta))18 P(q) = \frac{2\Delta\rho^2}{q^2}(1-cos(q\delta)) 19 19 20 20 21 where |delta| =bilayer thickness.21 where $\delta$ is the bilayer thickness. 22 22 23 The 2D scattering intensity is calculated in the same way as 1D, where the $Q$ vector is defined as 23 The 2D scattering intensity is calculated in the same way as 1D, where 24 the $q$ vector is defined as 24 25 25 26 .. math:: 26 27 27 Q = \sqrt{Q_x^2 + Q_y^2}28 q = \sqrt{q_x^2 + q_y^2} 28 29 29 30 31 Our model uses the form factor calculations implemented in a c-library provided by the NIST Center for Neutron Research32 (Kline, 2006).33 30 34 31 .. figure:: img/lamellar_1d.jpg … … 37 34 38 35 39 Reference 40 --------- 36 References 37 ---------- 41 38 42 39 F Nallet, R Laversanne, and D Roux, J. Phys. II France, 3, (1993) 487-502
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