• DESCRIBING THE SURFACE OF MATERIALS WITH GAMMA FUNCTIONS AND ITS APPLICATION IN MICRO- AND NANO-SCALES

Abstract

The purpose of this paper is to examine the possibility of applying Gamma functions for description of the surface of materials. Here we show analytically that poles of combination of the Gamma functions describe the position of atoms appropriately in one and two dimensions. We introduce the substrate, impurity, and mixed complex functions for describing the position of atoms. It is interesting the new role is played by Gamma function, as one of the special functions, in theoretical surface and materials science. At Micro- and Nano-scales we can restrict the limit of summation and statistical software, i.e. Maple or Mathematica, may be used.