# Changeset 547c6f0 in sasmodels

Ignore:
Timestamp:
Feb 15, 2018 5:59:45 AM (6 years ago)
Branches:
master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
Children:
aa90015
Parents:
a2ca6e5
Message:

polymer_excl_volume: update eq. to match paper. Refs #1073

File:
1 edited

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• ## sasmodels/models/polymer_excl_volume.py

 ra2ca6e5 and $n$ is the degree of polymerization. This integral was later put into an almost analytical form as follows This integral was put into an almost analytical form as follows (Hammouda, 1993) .. math:: P(Q)=\frac{1}{\nu U^{1/2\nu}}\gamma\left(\frac{1}{2\nu},U\right) - \frac{1}{U^{1/2\nu}}\gamma\left(\frac{1}{\nu},U\right) P(Q)=\frac{1}{\nu U^{1/2\nu}} \left\{ \gamma\left(\frac{1}{2\nu},U\right) - \frac{1}{U^{1/2\nu}}\gamma\left(\frac{1}{\nu},U\right) \right\} later recast as (for example, Hore, 2013; Hammouda & Kim, 2017) and later recast as (for example, Hore, 2013; Hammouda & Kim, 2017) .. math:: .. math:: \gamma(x,U)=\int_0^{U}dt\ exp(-t)t^{x-1} \gamma(x,U)=\int_0^{U}dt\ \exp(-t)t^{x-1} and the variable $U$ is given in terms of the scattering vector $Q$ as .. math:: P(Q) = \frac{2}{Q^4R_{g}^4} \left[exp(-Q^2R_{g}^2) - 1 + Q^2R_{g}^2 \right] P(Q) = \frac{2}{Q^4R_{g}^4} \left[\exp(-Q^2R_{g}^2) - 1 + Q^2R_{g}^2 \right] For 2D data: The 2D scattering intensity is calculated in the same way as 1D, Advances in Polym. Sci.* 106 (1993) 87-133 M Hore et al, *Co-Nonsolvency of Poly(n-isopropylacrylamide) in Deuterated M Hore et al, *Co-Nonsolvency of Poly(n-isopropylacrylamide) in Deuterated Water/Ethanol Mixtures* 46 (2013) 7894-7901
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