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Guinier fit
===========
André Guinier proved a small angle scattering curve can be approximated to
$$
I = I_0 exp(-q²Rg²/3)
$$
at low $q$, where Rg is the radius of gyration of the scatterer.
The difficult part is to be able to find the Guinier-region, i.e. where this approximation is valid.
FreeSAS implement 3 ways of selecting this region:
- autogpa: Guinier peak analysis by Christopher D. Putnam
J. Appl. Cryst. (2016). 49, 1412–1419
Ti fits sqrt(q²Rg²)*exp(-q²Rg²/3)*I0/Rg to the curve I*q = f(q²)
The Guinier region goes arbitrary from 0.5 to 1.3 q·Rg
- autorg: Heavily inspired from Jesse Hopkins' BioXTAS RAW
Journal of applied crystallography vol. 50,Pt 5 1545-1553.
- auto-guinier: home brewed version: the main difference is that
one does not search for the "best region" but rather focuses on
the most likely start and end-points.
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