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The revision on heat capacity of Einstein's solid model

WANG Ai-kun ZHOU Guo-xiang LI Guo-chang XUE Jian-hua

哈尔滨工业大学学报(英文版)2005,Vol.12Issue(3):325-327,3.
哈尔滨工业大学学报(英文版)2005,Vol.12Issue(3):325-327,3.

The revision on heat capacity of Einstein's solid model

The revision on heat capacity of Einstein's solid model

WANG Ai-kun 1ZHOU Guo-xiang 2LI Guo-chang 1XUE Jian-hua2

作者信息

  • 1. School of Sciences, Hebei University of Technology, Tianjin 300130, China
  • 2. Dept. of Applied Physics, Hebei University of Science and Technology, Shijiazhuang 050018, China
  • 折叠

摘要

Abstract

This paper is based on Einstein's supposition about crystal lattice vibration, which states that when Einstein's temperature ( )E is not less than the crystal temperature T but less than 2T, the expression of crystal molar heat capacity changes to the Dulong-Petit equation Cv = 3R. Thereby this equation can explain why crystal molar heat capacity equals about 3R not only at low temperatures but also at normal temperatures for many kinds of metals. It can be calculated that the nonlinear interaction among atoms contributes to the molar heat capacity using the coefficient of expansionβ and the Grüneisen constant γ. The result is that the relative error between the theoretical and the experimental value of the molar heat capacity is reduced greatly for many kinds of metals, especially for metals of IA. The relative error can be cut by about 17%.

关键词

Einstein's solid model/molar heat capacity/nonlinear interaction/coefficient of expansion

Key words

Einstein's solid model/molar heat capacity/nonlinear interaction/coefficient of expansion

分类

数理科学

引用本文复制引用

WANG Ai-kun,ZHOU Guo-xiang,LI Guo-chang,XUE Jian-hua..The revision on heat capacity of Einstein's solid model[J].哈尔滨工业大学学报(英文版),2005,12(3):325-327,3.

哈尔滨工业大学学报(英文版)

1005-9113

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