Algorithm for simulation of forbidden zones in electronic band structure

Abstract

This paper presents a descriptive algorithm of energy gaps in semiconductors applying the Kronig-Penney model. The code provides a teaching tool in the description of forbidden zones in crystalline lattices, which is an issue usually treated in structure of matter and solid state physic courses. All calculations contained in the algorithm is detailed. The main goal is to describe a methodology to obtain curves of energy vs. wave number, addressing the transmission coefficient of the material as constant, well known in the literature, and as a function of energy

Kronig-Penney model; bloch functions; energy gaps; electronic structures in a crystal