The calculation of the Doppler broadening function ψ(x,ξ) and of the interference term x(x,ξ) are important in the generation of nuclear data. In a recent paper, Goncalves and Martinez proposed an analytical approximation for the calculation of both functions based in sine and cosine Fourier transforms. This paper presents new approximations for these functions, ψ(x,ξ), and x(x,ξ), using expansions in Fourier series, generating expressions that are simple, fast and precise. Numerical tests applied to the calculation of scattering average cross section provided satisfactory accuracy.
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