The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio

Abstract

Assuming that V (x) (1 ) G1(x) + L1(x) is a very good approximation of the Voigt function, in thiswork we analytically nd from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt function, x being the distance from the function center. is obtained as a function of a, a being the ratio of the Lorentz width to the Gaussian width. We nd that, the Voigt function calculated with the expression we have obtained for , deviates from the exact value less than 0.5% with respect to the peak value.