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GaussianComptonProfile¶
Description¶
The GaussianComptonProfile function describes the Compton profile of a nucleus using a Gaussian approximation convoluted with an instrument resolution function, that is approximated by a Voigt function. The function approximates the Count rate, \(C(t)\) as [1],
for the given mass, M, \(J_M\) is approximated using a Gaussian and \(R_M\) is the resolution function. In Equation \(\ref{a}\), the term \(A_M\) is proportional to the scattering intensity and \(\left[\frac{E_0I(E_0)}{q}\right](t)\) depends on the incident neutron spectrum, which are both obtained the input workspace to the fit.
The Gaussian approximation, \(J_M\), takes two input parameters,
Width: \(\sigma\)
Intensity: \(I\)
The instrument resolution, \(R_M\), is approximated by a Voigt function using the VesuvioResolution function.
Properties (fitting parameters)¶
Name |
Default |
Description |
---|---|---|
Mass |
0.0 |
Atomic mass (amu) |
Width |
1.0 |
Gaussian width parameter |
Intensity |
1.0 |
Gaussian intensity parameter |
References¶
[1] Mayers J, Abdul-Redah T. The measurement of anomalous neutron inelastic cross-sections at electronvolt energy transfers. J Phys: Condens Matter 2004;16:4811–32. https://doi.org/10.1088/0953-8984/16/28/005
Categories: FitFunctions | General
Source¶
C++ header: GaussianComptonProfile.h
C++ source: GaussianComptonProfile.cpp