Changeset bba9361 in sasmodels for sasmodels/models/spinodal.py
- Timestamp:
- Oct 8, 2016 12:35:29 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:
- 59994557
- Parents:
- 066f296
- File:
-
- 1 edited
Legend:
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- Added
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sasmodels/models/spinodal.py
r43fe34b rbba9361 5 5 This model calculates the SAS signal of a phase separating solution under spinodal decomposition. 6 6 The scattering intensity $I(q)$ is calculated as 7 .. math:: I(q) = I_{max}\frac{(1+\gamma/2)x^2}{\gamma/2+x^{2+\gamma}}+B 8 where $x=q/q_0$ and $B$ is a flat background. The characteristic structure length 9 scales with the correlation peak at $q_0$. The exponent $\gamma$ is equal to 7 8 .. math:: 9 I(q) = I_{max}\frac{(1+\gamma/2)x^2}{\gamma/2+x^{2+\gamma}}+B 10 11 where $x=q/q_0$ and $B$ is a flat background. The characteristic structure length 12 scales with the correlation peak at $q_0$. The exponent $\gamma$ is equal to 10 13 $d+1$ with d the dimensionality of the off-critical concentration mixtures. 11 A transition to $\gamma=2 d$is seen near the percolation treshold into the14 A transition to $\gamma=2d$ is seen near the percolation threshold into the 12 15 critical concentration regime. 13 16 … … 43 46 # pylint: disable=bad-whitespace, line-too-long 44 47 # ["name", "units", default, [lower, upper], "type", "description"], 45 parameters = [["scale", "", 1.0, [-inf, inf], "", "Scale factor"],46 ["gamma", "", 48 parameters = [["scale", "", 1.0, [-inf, inf], "", "Scale factor"], 49 ["gamma", "", 3.0, [-inf, inf], "", "Exponent"], 47 50 ["q_0", "1/Ang", 0.1, [-inf, inf], "", "Correlation peak position"] 48 51 ]
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