Grimmer Hans
Research with Neutrons and Muons, Paul Scherrer Institut, WHGA/342, Villigen PSI, CH-5232, Switzerland.
Acta Crystallogr A Found Adv. 2015 Mar;71(Pt 2):143-9. doi: 10.1107/S2053273314027351. Epub 2015 Jan 29.
Neither International Tables for Crystallography (ITC) nor available crystallography textbooks state explicitly which of the 14 Bravais types of lattices are special cases of others, although ITC contains the information necessary to derive the result in two ways, considering either the symmetry or metric properties of the lattices. The first approach is presented here for the first time, the second has been given by Michael Klemm in 1982. Metric relations between conventional bases of special and general lattice types are tabulated and applied to continuous equi-translation phase transitions.
《晶体学国际表》（ITC）和现有的晶体学教科书均未明确指出14种布拉维晶格类型中哪些是其他类型的特殊情况，尽管ITC包含了通过两种方式得出结果所需的信息，这两种方式分别考虑晶格的对称性或度量性质。第一种方法在此首次提出，第二种方法由迈克尔·克莱姆于1982年给出。列出了特殊和一般晶格类型的常规基之间的度量关系，并将其应用于连续等平移相变。
