面心立方晶格紧束缚电子能带结构分析  

Analysis of energy band structure of tightly bound electrons in face-centered cubic lattice

作　　者：王畅[1,2] 胡建民 李林[1,2] 高峰 王月媛[1,2] WANG Chang;HU Jianmin;LI Lin;GAO Feng;WANG Yueyuan(Key Laboratory of Photonic and Electronic Bandgap Materials of Ministry of Education,Harbin Normal University,Harbin,Heilongjiang 150025,China;School of Physics and Electronic Engineering,Harbin Normal University,Harbin,Heilongjiang 150025,China)

机构地区：[1]哈尔滨师范大学光电带隙材料教育部重点实验室,黑龙江哈尔滨150025 [2]哈尔滨师范大学物理与电子工程学院,黑龙江哈尔滨150025

出　　处：《大学物理》2024年第12期15-18,23,共5页College Physics

基　　金：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(XJGY202345);哈尔滨师范大学研究生培养质量提升工程项目;教育部高等学校物理学类专业教学指导委员会2023年度教学研究项目(JZW23GT26)资助。

摘　　要：紧束缚电子模型是固体物理学能带理论的教学重点,面心立方晶格紧束缚电子能带结构分析则是教学难点.本文通过数值拟合,提出图示法分析面心立方晶格紧束缚电子能谱的特征.研究结果表明,面心立方晶格紧束缚电子能谱沿不同方向变化规律不同,能带底位于简约布里渊区中心,两个高能量极值点则分别位于简约布里渊区的四方面面心和六方面面心.沿简约布里渊区中心分别到四方面面心和六方面面心轴线方向,能带宽度分别为16倍和12倍交叠积分.本文的相关研究结果既可为晶体能带结构分析提供有效方法,也可为固体物理教学提供重要的理论指导.The tight-binding electron model is the key point in the teaching of band theory in solid state physics,while the band structure analysis of tight-binding electrons in face-centered cubic lattice is a teaching difficulty.In this article,a graphical method is proposed for analyzing the energy spectrum characteristics of tightly bound electrons in a face centered cubic lattice through numerical fitting.The results show that the energy spectrum varies in different directions and the energy band bottom is located in the center of simple Brillouin zone.The two highenergy extreme points are located at the four-face center and six-face center of the reduced Brillouin zone,respectively.The band widths along simple Brillouin zone center to four-faceted and six-faceted face-centered axes are 16-fold and 12-fold overlap integral,respectively.The relevant research results can not only provide an effective method for the analysis of crystal band structure,but also provide important theoretical guidance for the teaching of solid-state physics.

关 键 词：固体物理学 紧束缚电子 能带 面心立方 

分 类 号：O481.1[理学—固体物理]