Influence of Pressure of Electron Gas on Elastic Property of Metal

摘要

A balloon filled with electron gas model was built to simulate metal for calculating its bulk elastic. Electron gas obeyed Fermi-Dirac distribution and satisfied with theory of ideal gas. Expression of metal bulk elastic modulus was derived, and the comparison between the new method given in this paper with current method according to theory of atom potential energy on calculation accuracy was also given. It showed that, pressure of electron gas closely related to bulk elastic modulus, and maybe it was the major factor in determining bulk elastic modulus of metal; not all of valence electrons of atom in metal became conduction electrons to form the electron gas; new model of present work is superior to traditional method based on calculating derivative of potential energy.