A Gaussian–Hermite polynomials function for X-ray diffraction profile fitting

In recent years, several profile-shape functions have been successfully used in X-ray powder diffraction studies. Here, a new profile function for approximating the X-ray diffraction peaks is proposed. This model, based on a Gaussian function multiplied by a correction factor in the form of a series expansion in Hermite polynomials, can be employed in the cases where there are peak asymmetries. The function has been tested by using samples of α-Al₂O₃ and 9-YSZ (yttria-stabilized zirconia), yielding generally satisfactory results.