Parametrization of the screening charge density induced by a proton in a metal

Abstract

The convenience of parametrizing the screening charge density induced by a proton in a metal has been stressed by several authors. This parametrization simplifies the description of the charge density and ease its use in different applications. In this work we propose a simple fitting function characterized by a small number of parameters with physical significance. However simple, this function correctly describes charge normalization, asymptotic behavior and cusp condition. Our results compare favorably with previous parametrizations and numerical calculations.

Key Words:

• Screening charge density