Title :
Group Theory and the Energy Band Structure of Semiconductors
Author_Institution :
Department of Electrical Engineering, University of Minnesota, Minneapolis, Minn.
Abstract :
The purpose of this paper is to present the principles involved in calculating the energy band structures of semiconductors. These calculations can be simplified by the use of group theory, which is a branch of analysis that permits expressing the symmetry properties of crystals in a quantitative manner. Some of the simpler concepts of group theory are explained and then applied to band structure determinations.
Keywords :
Algebra; Chemical elements; Clocks; Crystals; Germanium; Laboratories; Mathematics; Reflection; Silicon; Solid state circuits;
Journal_Title :
Proceedings of the IRE
DOI :
10.1109/JRPROC.1962.288217