V2EX reciprocal lattice vector

Reciprocal Lattice Vector

Definition / 释义

倒易晶格矢量:在晶体学与固体物理中,倒易空间(reciprocal space)里用来描述晶体周期性与衍射条件的矢量,通常记为 G。它是倒易晶格上的“格点矢量”,满足 e^{iGR} = 1(对任意实空间晶格矢量 R),并常用于写出布拉格衍射与波矢折叠等关系。

Pronunciation / 发音(IPA)

/rsprkl lts vktr/

Etymology / 词源

reciprocal 源自拉丁语 reciprocus,有“相互的、往返的”之意,在数学与物理里常引申为“互为倒数/对应”的概念;lattice 来自表示“格子、网格”的词源,描述规则排列的点阵;vector 源自拉丁语 vector(“搬运者”),在现代科学中指具有大小与方向的量。合在一起,强调它是“与实空间晶格相对应(互为倒易关系)的矢量”。

Examples / 例句

A reciprocal lattice vector can be written as G = h b + k b + l b.
倒易晶格矢量可以写成 G = h b + k b + l b

In diffraction, a peak appears when the scattering vecto q equals a reciprocal lattice vector, reflecting the crystal’s periodic order.
在衍射中,当散射矢量 q 等于某个倒易晶格矢量时会出现峰值,这反映了晶体的周期性有序结构。

Related Words / 相关词汇

Notable Works / 文献与著作中的常见出处

  • Introduction to Solid State Physics(Kittel)用倒易晶格矢量表述衍射与布里渊区
  • Solid State Physics(Ashcroft & Mermin)系统讨论倒易空间、G 矢量与能带理论
  • International Tables for Crystallography晶体学标准参考中定义倒易晶格与相关记号
  • Dynamical Theory of Crystal Lattices(Born & Huang)晶格动力学与倒易表述中频繁出现
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