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曲线坐标系中的正格矢和倒格矢

发表时间:2008-04-15  浏览量:1860  下载量:621
全部作者: 王洪吉
作者单位: 天津理工大学理学院
摘 要: 在固体物理学中,采用正格矢和倒格矢描述晶体的结构和物理性质。正格矢和倒格矢是大小和方向都不变的常矢量。准晶体、液晶、铁磁体、聚合物等都具有局部结构和动态结构,不能用普通的正格矢和倒格矢来描述。为了描述这种局部结构和动态结构,本文把正格矢和倒格矢的概念推广到了一般的曲线坐标系,得到了一般曲线坐标系中的正格矢和倒格矢。这种正格矢和倒格矢的基矢量是变矢量,普通正格矢和倒格矢的基矢量是其特例。
关 键 词: 晶体学;晶体结构; 正格矢;倒格矢
Title: Direct lattice vector and reciprocal lattice vector in curvilinear coordinate systems
Author: WANG Hongji
Organization: School of Science, Tianjin University of Technology
Abstract: In solid physics, using direct lattice vector and reciprocal lattice vector to describe the physical characters of crystal structure. Direct lattice vector and reciprocal lattice vector are all invariant of magnitude and direction constant vectors. Quasi-crystal, liquid crystal, ferromagnetic material, polymer, and so on, have local structure and dynamic structure, cannot be described by direct lattice vector and reciprocal lattice vector. For describing this local structure and dynamic structure, this paper extends the concept of direct lattice vector and reciprocal lattice vector to general curvilinear coordinate system, obtains direct lattice vector and reciprocal lattice vector in general curvilinear coordinate systems.
Key words: crystallology; crystal structure; direct lattice vector; reciprocal lattice vector
发表期数: 2008年8月第7期
引用格式: 王洪吉. 曲线坐标系中的正格矢和倒格矢[J]. 中国科技论文在线精品论文,2008,1(7):763-766.
 
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