对倒格子第一布里渊区的些许思考

Some thoughts on the first Brillouin zone of the inverted grid

针对不同教材中关于面心立方晶格和体心立方晶格的第一布里渊区的描述,本文通过对称性作图的方式直观地给出了这两种结构第一布里渊区的确定方法,并通过与空间可能存在的5种正多面体的特征的对比,提出了这两类晶格第一布里渊区的更为合理和统一的命名方法.

Aimed at the description concerning the first Brillouin zone of the face-centered cubic lattice and body-centered cubic lattice in different textbooks, this paper provides intuitively the method of determining the first Brillouin zone of these two structures by means of symmetric drawing. And through comparing the characteristics of the five regular polyhedra that may exist in space, it puts forward a more rational and unified naming method for the first Brillouin zone of these two kinds of lattice.