Changes in / [2c1bbcdd:b9f4c26] in sasmodels
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- sasmodels/models
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- 2 edited
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sasmodels/models/gauss_lorentz_gel.py
raa2edb2 rb8954d7 2 2 This model calculates the scattering from a gel structure, 3 3 but typically a physical rather than chemical network. 4 It is modeled as a sum of a low-q exponential decay plus 5 a lorentzian at higher-q values. 4 It is modeled as a sum of a low-q exponential decay (which happens to 5 give a functional form similar to Guinier scattering, so interpret with 6 care) plus a Lorentzian at higher-q values. See also the gel_fit model. 6 7 7 8 Definition … … 16 17 $\Xi$ is the length scale of the static correlations in the gel, 17 18 which can be attributed to the "frozen-in" crosslinks. 18 $\xiis the dynamic correlation length, which can be attributed to the19 \ |xi|\ is the dynamic correlation length, which can be attributed to the 19 20 fluctuating polymer chains between crosslinks. 20 $I G(0)$ and $IL(0)$ are the scaling factors for each of these structures.21 $I_G(0)$ and $I_L(0)$ are the scaling factors for each of these structures. 21 22 Think carefully about how these map to your particular system! 22 23 -
sasmodels/models/gel_fit.py
raa2edb2 rb8954d7 8 8 and a longer distance (denoted here as $a2$ ) needed to account for the static 9 9 accumulations of polymer pinned down by junction points or clusters of such 10 points. The latter is derived from a simple Guinier function. 10 points. The latter is derived from a simple Guinier function. Compare also the 11 gauss_lorentz_gel model. 11 12 12 13 … … 33 34 34 35 35 Reference 36 --------- 36 References 37 ---------- 37 38 38 39 Mitsuhiro Shibayama, Toyoichi Tanaka, Charles C Han, … … 60 61 # pylint: disable=bad-whitespace, line-too-long 61 62 # ["name", "units", default, [lower, upper], "type","description"], 62 parameters = [["guinier_scale", "cm^ {-1}", 1.7, [-inf, inf], "", "Guinier length scale"],63 ["lorentzian_scale", "cm^ {-1}", 3.5, [-inf, inf], "", "Lorentzian length scale"],63 parameters = [["guinier_scale", "cm^-1", 1.7, [-inf, inf], "", "Guinier length scale"], 64 ["lorentzian_scale", "cm^-1", 3.5, [-inf, inf], "", "Lorentzian length scale"], 64 65 ["gyration_radius", "Ang", 104.0, [2, inf], "", "Radius of gyration"], 65 66 ["fractal_exp", "", 2.0, [0, inf], "", "Fractal exponent"],
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