.. index:: GaussianComptonProfile
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) = \left[\frac{E_0I(E_0)}{q}\right](t) A_m J_M(y_M)\otimes R_M(t) \label{a}
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 :ref:`VesuvioResolution <algm-VesuvioResolution>` function.
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[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
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