V2EX first brillouin zone

First Brillouin Zone

释义 Definition

第一布里渊区:在倒易空间(reciprocal space)中,以某个倒易晶格点(通常取原点 Γ 点)为中心、由与其最近邻倒易晶格点的垂直平分面围成的WignerSeitz 原胞。它是能带理论与晶体中波矢 k 的基本取值区域;更高的“布里渊区”则是第一布里渊区之外按距离分层得到的区域。(该术语在固体物理中也常被简称为 Brillouin zone。)

发音 Pronunciation (IPA)

/fst brlun zon/

例句 Examples

The first Brillouin zone is the basic region used to label electron wave vectors in a crystal.
第一布里渊区是用来标记晶体中电子波矢的基本区域。

By folding the dispersion into the first Brillouin zone, we can compare phonon modes across different reciprocal lattice directions.
把色散关系折叠回第一布里渊区后,我们就能比较不同倒易晶格方向上的声子模态。

词源 Etymology

Brillouin 来自法国物理学家 Léon Brillouin(莱昂布里渊) 的姓氏;“zone(区)”在此指倒易空间中的分区。“first(第一)”表示离所选倒易晶格点最近、由最近邻边界围成的那一层区,即最核心、最常用的布里渊区。

相关词 Related Words

文献与作品 Literary / Notable Works

  • Introduction to Solid State Physics Charles Kittel(《固体物理导论》)
  • Solid State Physics Neil W. Ashcroft & N. David Mermin(《固体物理》)
  • Quantum Theory of Solids Charles Kittel(《固体量子理论》)
  • Electronic Structure: Basic Theory and Practical Methods Richard M. Martin(《电子结构:基础理论与实用方法》)
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