Determination of effective atomic numbers for 3d transition metal alloys with a new semi-empirical approach

Abstract

A new, reliable and practical semi-empirical equation based on the total interaction cross sections ( σ t ) is presented to determine the values of the effective atomic numbers ( Z eff ) of 3d transition metal alloys. With this goal, the total interaction cross sections measured at 22.1, 25.0, 59.5 and 88.0 keV incident photon energies for Ti, Cr, Fe, Co, Ni and Cu metals have been used. The effective electron numbers ( N eff ) is also obtained by using the semi-empirical equations. Both the effective atomic numbers and the effective electron numbers produced by means of semi-empirical approach have been compared with the experimental and calculated values based on WINXCOM data. A good correspondence has been observed among the present results and the other results.