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)¶

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