The Current Carriers’ Dispersion Law of a Crystal, Their Chemical Potential and a Set of Important Properties of Crystals

Authors

  • Ya. S. Budzhak Lviv Polytechnic National University
  • T. Wacławski Cracow University of Technology

DOI:

https://doi.org/10.15330/pcss.21.2.284-287

Keywords:

dispersion law, chemical potential, metals, semiconductor crystals

Abstract

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.

References

J. S. Budjak, Gibbs Grand Thermodynamic Potential in the Theory of Kinetic Crystal Properties, Physics and Chemistry of Solid State 18(1), 7-14, (2017) (DOI: 10.15330/pcss.18.1.7-14).

Ya. S. Budzhak, T. Wacławski, The Important Thermal Characteristics of Matter and Their Computations with the Use of the Gibbs Potentials, Physics and Chemistry of Solid State 19(2), 134-138, (2018) (DOI: 10.15330/pcss.19.2.134-138).

Ya. S. Budzhak, T. Wacławski, A Set of the Important kinetic Properties of Crystals and Their Dependence on the Charge Carriers’ Scattering Mechanisms, Physics and Chemistry of Solid State 19(4), 303-306, (2018) (DOI: 10.15330/pcss.19.4.303-306).

Ya.S.Budzhak, L. O. Vasilechko, Foundations of statistical theory of thermal and kinetic properties of semiconductor crystals (Liga-Pres, Lviv, 2016).

Ya. S. Budzhak, A.O. Druzhinin, T. Wacławski, Modern Statistical Methods of Investigations of Properties of Crystals as Micro- and Nanoelectronics Materials (PublishingHouse of Lviv Polytechnic, Lviv, 2018).

Ya. S. Budzhak, Gibbs potentials in calculations of thermal and kinetic properties of crystals, Technical News, 49(1), 12-17, (2019).

A. G. Samoilovich, Thermodynamics and Statistical Physics (State Publishing House of Technical and Theoretical Literature, Moscow, 1955).

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Published

2020-06-15

How to Cite

Budzhak, Y. S., & Wacławski, T. (2020). The Current Carriers’ Dispersion Law of a Crystal, Their Chemical Potential and a Set of Important Properties of Crystals. Physics and Chemistry of Solid State, 21(2), 284–287. https://doi.org/10.15330/pcss.21.2.284-287

Issue

Section

Scientific articles