Open AccessThe Current Carriers’ Dispersion Law of a Crystal, Their Chemical Potential and a Set of Important Properties of Crystals
Author(s) -
Ya. S. Budzhak,
Tadeusz Wacławski
Publication year - 2020
Publication title -
fìzika ì hìmìâ tverdogo tìla
Language(s) - English
Resource type - Journals
eISSN - 2309-8589
pISSN - 1729-4428
DOI - 10.15330/pcss.21.2.284-287
Subject(s) - dispersion (optics) , crystal (programming language) , condensed matter physics , law , semiconductor , band gap , dispersion relation , physics , materials science , quantum mechanics , political science , computer science , programming language
In this paper, a new non-parabolic dispersion law has been established, which for a small parameter of the spectrum nonparabolicity coincides with the known Kane’s nonparabolic dispersion law. The Kane’s dispersion law works well when the well-known parameter of nonparabolicity is much less than 1, and the new law works well enough when the parameter of nonparabolicity is less than 1. In addition, this law shows that crystals with a band gap (i.e., forbidden band width) Eg~10-1 eV – these are semiconductor crystals, crystals with Eg~10-2 eV – these are metals.