大学物理 ›› 2022, Vol. 41 ›› Issue (07): 43-.doi: 10.16854/j.cnki.1000-0712.210485.210485

• 教学讨论 • 上一篇    下一篇

第一性原理在固体物理晶体结构教学中的应用

于洋   

  1. 南京信息工程大学 物理与光电工程学院,江苏 南京210044
  • 出版日期:2022-07-28 发布日期:2022-07-25
  • 作者简介:于洋(1982—),女,吉林长春人,南京信息工程大学讲师,博士,主要从事大学计算物理教学和研究工作.
  • 基金资助:
    国家自然科学基金(11704194)资助

Application of firstprinciples to crystal structure teaching of solid physics

YU Yang#br#   

  1. School of Physics and Optoelectronic Engineering, Nanjing University of Information
     Science & Technology, Nanjing, Jiangsu 210044, China 
  • Online:2022-07-28 Published:2022-07-25

摘要:
晶体是固体物理课程中非常基础和重要的概念,但不同元素晶体呈现不同晶型如面心立方(fcc)、体心立方(bcc)、六方密堆积(hcp)、简单立方(sc)的原因在课程中并没有进行说明. 本文将利用密度泛函理论,结合第一性原理软件(Quantum Espresso)对钋(Po)、钨(W)、铝(Al)和镁(Mg)等金属晶体进行单点能计算,获得其在不同晶体结构下随晶格常数变化的能量曲线,讨论各金属晶体的理论晶格结构,对不同固体晶体呈现不同晶体类型的问题进行说明. 

关键词: 固体物理, 金属晶体, 第一性原理, Quantum Espresso

Abstract: Crystal is a fundamental and important concept in solid state physics. But the reason why different element crystals present different crystal types, such as face centered cubic (fcc), body centered cubic (bcc), hexagonal dense packing (hcp), and even simple cubic structure (sc), is not explained in the course. In this paper, the single point energy of metal crystals such as polonium (Po), tungsten (W), aluminum (Al) and magnesium (Mg) is calculated by using the density functional theory and the first principle software quantum Espresso. The energy curves varying with the lattice constant under different crystal structures are obtained. The theoretical lattice structure of each metal crystal is discussed, and the problem of different crystal types of different solid crystals is explained.

Key words:  solid state physics, metal crystal, first principle theory, quantum Espresso