中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2575-2584.doi: 10.1088/1009-1963/14/12/032

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

An improvement of the Peierls equation by taking into account the lattice effects

王少峰   

  1. Institute for structure and function, Chongqing University, Chongqing 400044, China
  • 收稿日期:2005-03-04 修回日期:2005-09-03 出版日期:2005-12-20 发布日期:2005-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10274057).

An improvement of the Peierls equation by taking into account the lattice effects

Wang Shao-Feng (王少峰)   

  1. Institute for structure and function, Chongqing University, Chongqing 400044, China
  • Received:2005-03-04 Revised:2005-09-03 Online:2005-12-20 Published:2005-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10274057).

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摘要： An improvement of the Peierls equation has been made by including the lattice effects. By using the non-trivially gluing mechanism for the simple cubic lattice, in which atoms interact with its first and second nearest neighbours through a central force, the dislocation equation has been derived rigorously for the isotropic case. In the slowly varying approximation, the Peierls equation with the improvement by including the lattice effects has been obtained explicitly. The new equation can be used to substitute for the old one in theoretical investigations of dislocations. The major change of the predicted dislocation structure is in the core region. The width of the dislocation given by using the new equation is about three times that given by the classical Peierls--Nabarro theory for the simple cubic lattice.

Abstract: An improvement of the Peierls equation has been made by including the lattice effects. By using the non-trivially gluing mechanism for the simple cubic lattice, in which atoms interact with its first and second nearest neighbours through a central force, the dislocation equation has been derived rigorously for the isotropic case. In the slowly varying approximation, the Peierls equation with the improvement by including the lattice effects has been obtained explicitly. The new equation can be used to substitute for the old one in theoretical investigations of dislocations. The major change of the predicted dislocation structure is in the core region. The width of the dislocation given by using the new equation is about three times that given by the classical Peierls--Nabarro theory for the simple cubic lattice.

Key words: dislocation, Peierls equation, lattice effect

中图分类号:  (Theories and models of crystal defects)

  • 61.72.Bb
61.72.Lk (Linear defects: dislocations, disclinations) 61.72.Nn (Stacking faults and other planar or extended defects)