Modeling of High-Temperature Electron-Ion Interaction in Metals

E S Filippov

doi:10.5539/apr.v10n3p16

Abstract

Due to the band structure blurring, all low-temperature characteristics (p = hk) pass to the parameter R associated with LambdaF/2Pi, binding energy, the volume of interatomic voids, the volume increment upon melting, and the packing factor. Application of the parameter R to the analysis of wave characteristics revealed their relationship with the packing factor of the reciprocal lattice (for alkali metals, it is 0.74, for Pb, Al ..., it is 0.68). A correlation is established between the fluctuation cell of heat transfer ± Lambda K (where Lambda = h/mc and K is the number of nearest neighbors) and the reciprocal lattice of the atomic-ion space determined by the atom and ion volumes and by the parameter R.

Highlights

Blurring of the band structure is uniquely related to the increasing role of electron density fluctuations under the following unchanged characteristics of the condensed state: the Fermi energy and, respectively, the value of λF/2π, and the binding energy U(r) and under the pseudopotential approximation of the electron-ion interaction in the coordinate space ra – ri
The main assumption in the attempted simulation is the presence of the electron density fluctuations in the interstitial space characterized by the distribution of the electron density probability with respect to r in the atomic-vibrational mode
The main task is to develop a heat transfer model, which is represented as the exchange by fluctuations of high electron density + λK and low electron density -λK in an atomic-coordinate space, which is discrete for the placement in it of cells ± λK in the interaction mode: photon + electron → λ

Summary

Introduction and Statement of the Problem

Blurring of the band structure is uniquely related to the increasing role of electron density fluctuations under the following unchanged characteristics of the condensed state: the Fermi energy and, respectively, the value of λF/2π, and the binding energy U(r) and under the pseudopotential approximation of the electron-ion interaction in the coordinate space ra – ri (where ra and ri are the radii of the atom and ion). The main task is to develop a heat transfer model, which is represented as the exchange by fluctuations of high electron density + λK (emitter) and low electron density -λK (receiver) in an atomic-coordinate space, which is discrete for the placement in it of cells ± λK in the interaction mode: photon + electron → λ (where λ = h/mc and K is the number of the nearest neighbors). We believe that the development such a model adequately reflects the electron-ion interaction at high temperature

Initial Data and Modeling Results

Consequences From the Model of Heat Transfer

Amorphous State