Energy band structure of tightly bound electrons in hexagonal close-packed lattice

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  • Key Laboratory of Photonic and Electronic Bandgap Materials of Ministry of Education, 
    School of Physics and Electronic Engineering, Harbin Normal University, Harbin,Heilongjiang 150025, China

Received date: 2022-12-02

  Revised date: 2023-03-03

  Online published: 2023-10-18

Abstract

 The tight bound electron model is used to calculate the energy band of hexagonal close-packed lattice. The results show that the energy band of hexagonal close packed lattice is of a special complex form, and the reason for the formation of the complex energy band is that its unique lattice structure leads to the symmetry breaking of neighboring atoms. On the plane of reciprocal space kz=0, the real part is symmetric about the kx axis and the ky axis, while the imaginary part is only symmetric about the ky axis and asymmetric about the kx axis, which is determined by the asymmetry of the next nearest neighbor atoms of the hexagonal close-packed lattice in the rectangular coordinate space. The relevant research results are not only the expansion of the teaching content of solid physics, but also provide a theoretical basis for analyzing the relevant physical properties of crystal materials.


Cite this article

YU Feng-lian, HU Jian-min, WANG Yue-yuan . Energy band structure of tightly bound electrons in hexagonal close-packed lattice[J]. College Physics, 2023 , 42(9) : 5 . DOI: 10.16854/j.cnki.1000-0712.220595

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