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三维面心立方晶体声子谱的严格解析解
引用本文:陈曦,成泰民.三维面心立方晶体声子谱的严格解析解[J].沈阳化工学院学报,2009,23(4):370-373.
作者姓名:陈曦  成泰民
作者单位:沈阳化工学院,材料科学与工程学院,辽宁,沈阳,110142
基金项目:国家自然科学基金资助,辽宁省教育厅科学研究项目资助 
摘    要:在第三近邻相互作用情况下,利用晶格动力学严格求解三维面心立方晶体声子谱的严格解析解与其对应的极化向量.并在第一布里渊区的全空间讨论声子谱的特性,指出声子谱能量只在第一布里渊区的主要对称点线面上具有简并现象,并按其极化向量判断纵向声子与横向声子的特性.

关 键 词:晶格动力学  第一布里渊区  声子谱能量  极化向量  严格解析解

Strict Analytical Solution of Phonon Spectrum in Three-dimensional Face Centered Cubic Crystal
CHEN Xi,CHENG Tai-min.Strict Analytical Solution of Phonon Spectrum in Three-dimensional Face Centered Cubic Crystal[J].Journal of Shenyang Institute of Chemical Technolgy,2009,23(4):370-373.
Authors:CHEN Xi  CHENG Tai-min
Affiliation:( Shenyang University of Chemical Technology, Shenyang 110142, China)
Abstract:Only considering the situation of the third close neighbor interaction,the strict analytical solution of phonon spectrum and its corresponding polarization vector in three-dimensional face centered cubic crystal were obtained by using lattice dynamics,and the phonon spectrum characteristics were discussed in the first Brillouin zone.It was pointed out that the phonon spectrum energy had the phenomenon of degeneration only on the main symmetric point,line and plane in the first Brillouin zone.According to its polarization vector, the characteristics of the longitudinal phonon and transverse phonon were judged.
Keywords:lattice dynamics  first Brillouin zone  phonon spectrum energy  polarization vector  TIF  Strict analytical solution
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