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The Effective Mass of Electrons in Crystals

 

作者: C. Kittel,  

 

期刊: American Journal of Physics  (AIP Available online 1954)
卷期: Volume 22, issue 5  

页码: 250-252

 

ISSN:0002-9505

 

年代: 1954

 

DOI:10.1119/1.1933711

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

The transfer of momentum between a conduction electron and a crystal lattice is examined in detail. By physical considerations we are led to the expression(mm*)ij = δij+∑GGiδδkj|aG(k)|2for the reciprocal effective mass tensor, whereGis2πtimes a reciprocal lattice vector andaG(k)is a coefficient in the momentum representation of the Bloch eigenfunction:ψk = ∑GaG(k) exp[i(G+k)·r]. This expression for the effective mass tensor is shown to be completely equivalent to the usual definition.

 

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