Changeset 513efc5 in sasmodels for sasmodels/models/surface_fractal.py
- Timestamp:
- Jan 20, 2016 2:50:50 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:
- 7ed702f
- Parents:
- 30b4ddf
- File:
-
- 1 edited
Legend:
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sasmodels/models/surface_fractal.py
r30b4ddf r513efc5 22 22 .. math:: 23 23 24 S(q) = \frac{\Gamma(5-D_S)\zeta^{5-D_S}}{\left[1+(q\zeta)^2\right]^{(5-D_S)/2}} 24 S(q) = \frac{\Gamma(5-D_S)\zeta^{5-D_S}}{\left[1+(q\zeta)^2 25 \right]^{(5-D_S)/2}} 25 26 \frac{sin\left[(D_S - 5) tan^{-1}(q\zeta) \right]}{q} 26 27 … … 33 34 V = \frac{4}{3}\pi R^3 34 35 35 where $R$ is the radius of the building block, $D_S$ is the **surface** fractal dimension, 36 $\zeta$ is the cut-off length, $\rho_{solvent}$ is the scattering length density of the solvent, 36 where $R$ is the radius of the building block, $D_S$ is the **surface** fractal 37 dimension,$\zeta$ is the cut-off length, $\rho_{solvent}$ is the scattering 38 length density of the solvent, 37 39 and $\rho_{particle}$ is the scattering length density of particles. 38 40 39 41 .. note:: 40 42 The surface fractal dimension $D_s$ is only valid if $1<surface\_dim<3$. 41 It is also only valid over a limited $q$ range (see the reference for details) 43 It is also only valid over a limited $q$ range (see the reference for 44 details) 42 45 43 46 … … 78 81 79 82 # ["name", "units", default, [lower, upper], "type","description"], 80 parameters = [["radius", "Ang", 10.0, [0, inf], "", "Particle radius"], 81 ["surface_dim", "", 2.0, [0, inf], "", "Surface fractal dimension"], 82 ["cutoff_length", "Ang", 500., [0.0, inf], "", "Cut-off Length"], 83 parameters = [["radius", "Ang", 10.0, [0, inf], "", 84 "Particle radius"], 85 ["surface_dim", "", 2.0, [0, inf], "", 86 "Surface fractal dimension"], 87 ["cutoff_length", "Ang", 500., [0.0, inf], "", 88 "Cut-off Length"], 83 89 ] 84 90 85 91 86 source = [" surface_fractal.c"]92 source = ["lib/J1c.c", "surface_fractal.c"] 87 93 88 94 demo = dict(scale=1, background=0,
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