A MODIFIED FORMULATION OF LATTICE DYNAMICS

被引:1
作者
ACHAR, BN
BARSCH, GR
机构
[1] Materials Research Laboratory, The Pennsylvania State University, Department of Physics, University Park, Pennsylvania
来源
PHYSICA STATUS SOLIDI | 1969年 / 34卷 / 02期
关键词
D O I
10.1002/pssb.19690340223
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A modified formulation of lattice dynamics based on two‐dimensional Fourier‐transforms of the coupling parameters is presented. This approach will be useful for the study of twodimensional defects, surfaces, and layer structures. Subsequent Fourier‐transform in the third dimension recovers the conventional formulation of lattice dynamics. The method is applied to the eigenfrequencies of rocksalt in the approximation of the point ion model and is shown to reproduce Kellermann's results. Copyright © 1969 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:609 / &
相关论文
共 10 条
[1]  
Born Max, 1954, DYNAMICAL THEORY CRY
[2]  
EWALD PP, 1953, STRUCTURE PROPERTIES
[3]   DYNAMICS OF A SEMI-INFINITE CRYSTAL LATTICE IN A QUASIHARMONIC APPROXIMATION .I. STATIC EQUILIBRIUM CONFIGURATION OF A SEMI-INFINITE LATTICE [J].
FEUCHTWA.TE .
PHYSICAL REVIEW, 1967, 155 (03) :715-&
[4]   DYNAMICS OF A SEMI-INFINITE CRYSTAL LATTICE IN A QUASIHARMONIC APPROXIMATION .2. NORMAL-MODE ANALYSIS OF A SEMI-INFINITE LATTICE [J].
FEUCHTWA.TE .
PHYSICAL REVIEW, 1967, 155 (03) :731-&
[6]   ZUR DYNAMIK VON KRISTALLEN MIT PUNKTDEFEKTEN [J].
LUDWIG, W .
ERGEBNISSE DER EXAKTEN NATURWISSENSCHAFTEN, 1964, 35 :1-102
[7]  
TOSI MP, 1964, SOLID STATE PHYS, V16, P1
[8]   A METHOD FOR THE EVALUATION OF SOME LATTICE SUMS OCCURRING IN CALCULATIONS OF PHYSICAL PROPERTIES OF CRYSTALS [J].
VANDERHOFF, BME ;
BENSON, GC .
CANADIAN JOURNAL OF PHYSICS, 1953, 31 (07) :1087-1094
[9]  
WATSON GN, 1922, THEORY BESSEL FUNCTI
[10]  
WHITTACKER ET, 1965, COURSE MODERN ANALYS