Thopson-Cox-Hastings pseudoVoigt


       


The pseudoVoigt function is an approximation to the Voigt function defined as the convolution of a Lorentzian and a Gaussian:


       


where L(x) and G(x) have different FWHM (HL and HG respectively). The pV(x) function is an approximation that substitutes the two shape parameters HL and HG by the pair (η, H):


       


       



The inversion of the above two expressions leads to the relations:


       


       



The FWHM of the Gaussian (HG) and Lorentzian (HL) components is calculated as:


       


       


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