Semi-infinite jellium: Step potential model

Abstract

The surface energy, the one-particle distribution function of electrons, etc. of a semi-bounded metal within the framework of the semi-infinite jellium are calculated. The influence of the potential barrier height on these characteristics is studied. The barrier height is found from the condition of the minimum of the surface energy. The surface energy is positive in the entire domain of the Wigner-Seitz radius of metals, and it is in sufficiently good agreement with experimental data.PACS numbers: 73.20.-r; 71.10.-w; 71.45.-d

Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy

“…[52][53][54][55][56]. Consequently, the following expression for the thermodynamic potential Ω (4.2) can be obtained,…”

“…An effective potential of inter-electron interaction, which we have studied recently in [52][53][54][55][56], is crucial for calculating of the general expression for thermodynamic potential. It is shown that within certain approximations the thermodynamic potential can be represented as a functional of the one-and twoparticle distribution functions of electrons.…”

The chemical potential and the work function of a metal film on a dielectric substrate

“…where two possible orientations of the electron spin are taken into account and transition from the sum over two-dimensional vector k || to the integral is performed according to Refs. [17,18]. We assume that the concentration of the positive charge ̺ 0 is equal to the bulk concentration of electrons 3e/(4πr 3 s ), where r s is the Wigner-Seitz radius.…”

Investigation of effective potential of electron-ion interaction in semibounded metal

“…We extract from the Hamiltonian (1) a Hamiltonian of the semi-infinite jellium model H jell [4][5][6], which is used as a basic system for the study of thermodynamic and structural properties of semibounded metal. As a result, we get that…”