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],

C(t)=[E0I(E0)q](t)AmJM(yM)RM(t)

for the given mass, M, JM is approximated using a Gaussian and RM is the resolution function. In Equation ???, the term AM is proportional to the scattering intensity and [E0I(E0)q](t) depends on the incident neutron spectrum, which are both obtained the input workspace to the fit.

The Gaussian approximation, JM, takes two input parameters,

  • Width: σ

  • Intensity: I

The instrument resolution, RM, 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