大学物理 ›› 2020, Vol. 39 ›› Issue (9): 53-58.doi: 10.16854 /j.cnki.1000-0712.200085

• 大学生园地 • 上一篇    下一篇

金属线膨胀系数模拟计算与实验

刘锦,张孟,罗锻斌   

  1. 华东理工大学物理学系,上海200237
  • 收稿日期:2020-03-14 修回日期:2020-04-07 出版日期:2020-09-20 发布日期:2020-09-25
  • 通讯作者: 张孟,E-mail: mzhang@ ecust.edu.cn
  • 作者简介:刘锦( 1999—) ,男,上海人,华东理工大学物理学系2017 级本科生.
  • 基金资助:
    2019 年华东理工大学教学改革项目( 80222301901001) 及华东理工大学USRP 项目( 575) 资助

Theoretical calculation and experiment of linear expansion coefficient of metal

LIU Jin,ZHANG Meng,LUO Duan-bin   

  1. Department of Physics,East China University of Science and Technology,Shanghai 200237,China
  • Received:2020-03-14 Revised:2020-04-07 Online:2020-09-20 Published:2020-09-25

摘要: 本文采用以量子力学为基础的密度泛函方法,通过计算金属铝和铜两种金属的晶格常数、结合能和德拜温度来推导金属热膨胀系数,并进行实验设计与数据测量.对理论模拟计算值与采用光杠杆原理实验测量结果进行对比,并分析误差来源,提出改进实验误差的方法,为将来在大学物理课程中开展金属热膨胀系数测量的相关实验设计和理论模拟计算提供参考.

关键词: 膨胀系数, 密度泛函, 物理实验

Abstract: In this paper,the coefficient of thermal expansion of aluminum and copper metals is obtained by calculating the lattice constants,binding energy and Debye temperature via the density functional method based on quantum mechanics. Experimental design and data measurement are also carried out. Moreover,the theoretical simulation values are compared with the experimental results achieved by using an optical lever. The error sources were analyzed and the experimental methods for improving the errors were proposed. The results should provide reference for the future experimental design and theoretical simulation of metal thermal expansion coefficient in university physics courses.

Key words: expansion coefficient, density functional theory, physical experiment