Changeset 547c6f0 in sasmodels for sasmodels/models/polymer_excl_volume.py
 Timestamp:
 Feb 15, 2018 7:59:45 AM (6 years ago)
 Branches:
 master, core_shell_microgels, magnetic_model, ticket1257vesicleproduct, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
 Children:
 aa90015
 Parents:
 a2ca6e5
 File:

 1 edited
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sasmodels/models/polymer_excl_volume.py
ra2ca6e5 r547c6f0 18 18 and $n$ is the degree of polymerization. 19 19 20 This integral was laterput into an almost analytical form as follows20 This integral was put into an almost analytical form as follows 21 21 (Hammouda, 1993) 22 22 23 23 .. math:: 24 24 25 P(Q)=\frac{1}{\nu U^{1/2\nu}}\gamma\left(\frac{1}{2\nu},U\right)  26 \frac{1}{U^{1/2\nu}}\gamma\left(\frac{1}{\nu},U\right) 25 P(Q)=\frac{1}{\nu U^{1/2\nu}} 26 \left\{ 27 \gamma\left(\frac{1}{2\nu},U\right)  28 \frac{1}{U^{1/2\nu}}\gamma\left(\frac{1}{\nu},U\right) 29 \right\} 27 30 28 later recast as (for example, Hore, 2013; Hammouda & Kim, 2017)31 and later recast as (for example, Hore, 2013; Hammouda & Kim, 2017) 29 32 30 33 .. math:: … … 37 40 .. math:: 38 41 39 \gamma(x,U)=\int_0^{U}dt\ exp(t)t^{x1}42 \gamma(x,U)=\int_0^{U}dt\ \exp(t)t^{x1} 40 43 41 44 and the variable $U$ is given in terms of the scattering vector $Q$ as … … 92 95 .. math:: 93 96 94 P(Q) = \frac{2}{Q^4R_{g}^4} \left[ exp(Q^2R_{g}^2)  1 + Q^2R_{g}^2 \right]97 P(Q) = \frac{2}{Q^4R_{g}^4} \left[\exp(Q^2R_{g}^2)  1 + Q^2R_{g}^2 \right] 95 98 96 99 For 2D data: The 2D scattering intensity is calculated in the same way as 1D, … … 110 113 Advances in Polym. Sci.* 106 (1993) 87133 111 114 112 M Hore et al, *CoNonsolvency of Poly(nisopropylacrylamide) in Deuterated 115 M Hore et al, *CoNonsolvency of Poly(nisopropylacrylamide) in Deuterated 113 116 Water/Ethanol Mixtures* 46 (2013) 78947901 114 117
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