大学生园地

基于范德堡方法的有孔材料电阻率测量

  • 李潇怡 ,
  • 颜牧雨 ,
  • 陈云琳 ,
  • 闫君
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  • 北京交通大学理学院,北京100044
李潇怡( 1997—) ,女,浙江省嘉兴市,北京交通大学本科2015 级学生.

收稿日期: 2017-04-17

  修回日期: 2017-08-10

  网络出版日期: 2018-02-20

基金资助

北京交通大学近代物理实验教材教改项目

Measurement of resistivity of porous materials based on Van der Pauw method

  • LI Xiao-yi ,
  • YAN Mu-yu ,
  • CHEN Yun-lin ,
  • YAN jun
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  • School of Science,Beijing Jiaotong University,Beijing 100044,China

Received date: 2017-04-17

  Revised date: 2017-08-10

  Online published: 2018-02-20

摘要

以范德堡方法为基础,对有孔情况下的范德堡公式进行了修正. 计算了圆环形材料范德堡公式仍适用的临界边界条件,总结出单个孔材料电阻率测量完整系统的方法. 对于多孔型材料,推导得出场强、电流和电阻率的定量公式,利用软件仿真、拟合定量和类比法求场强分布及电流值,求解电阻率. 拓宽了范德堡方法的应用条件.

本文引用格式

李潇怡 , 颜牧雨 , 陈云琳 , 闫君 . 基于范德堡方法的有孔材料电阻率测量[J]. 大学物理, 2018 , 37(2) : 75 -78 . DOI: 10.16854 /j.cnki.1000-0712.170192

Abstract

On the basis of Van der Pauw method,the Van der Pauw formula is simplified. Under the critical condition,the form of Van der Pauw formula is preserved,namely,the constant of the equation is modified and critical value is calculated. The complete method of measuring resistivity of single hole material is summarized. For the porous materials,the quantitative formula of field strength,current and resistivity are deduced. The problem is solved by software simulation,fitting quantitative and analogy method to find the distribution of field intensity and current value. The condition of application of the Van der Pauw method is extended.
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