大学物理 ›› 2023, Vol. 42 ›› Issue (9): 5-.doi: 10.16854/j.cnki.1000-0712.220595

• 教学研究 • 上一篇    下一篇

六角密积晶格中紧束缚电子的能带结构

于凤连,胡建民,王月媛   

  1. 哈尔滨师范大学物理与电子工程学院 光电带隙材料教育部重点实验室,黑龙江哈尔滨  150025
  • 收稿日期:2022-12-02 修回日期:2023-03-03 出版日期:2023-10-16 发布日期:2023-10-18
  • 通讯作者: 胡建民,hujianmin@foxmail.com
  • 作者简介:于凤连(1997—),女,黑龙江绥化市人,哈尔滨师范大学物理与电子工程学院2020级研究生.
  • 基金资助:
    黑龙江省自然科学基金项目(LH2019A019)、哈尔滨师范大学高等教育教学改革研究项目(XJGYW2022003)、哈尔滨师范大学研究生培养质量提升工程项目以及混合式教学模式改革试点项目资助

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

 YU Feng-lian, HU Jian-min, WANG Yue-yuan   

  1. 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:2022-12-02 Revised:2023-03-03 Online:2023-10-16 Published:2023-10-18

摘要: 本文采用紧束缚电子模型计算六角密积晶格的能带.结果表明,六角密积晶格的能带为特殊的复数形式,产生复能带的原因是由于其独特的晶格结构导致近邻原子的对称性破缺造成的.在倒空间kz=0的平面上,实部关于kx轴和ky轴对称,而虚部则只关于ky轴对称,关于kx轴不对称,这是由直角坐标空间六角密积晶格中次近邻的两个密排层原子的不对称性决定的.本文相关研究结果既是固体物理教学内容的拓展,同时也可为分析晶体材料相关物理性质提供理论依据.

关键词: 六角密积晶格, 紧束缚电子, 固体物理学

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.


Key words:  hexagonal close-packed lattice, tight bound electron, solid state physics