@article{oai:u-ryukyu.repo.nii.ac.jp:02004168, author = {Hosoya, Masahiko and 細谷, 将彦}, issue = {41}, journal = {琉球大学理学部紀要, Bulletin of the College of Science. University of the Ryukyus}, month = {Mar}, note = {A mathematically unambiguous definition is given to crystal-structure types for the first time. This enables us to enumerate all the possible crystal-structure types systematically. The classification system is also presented which consists of species, genuses, and families. A species is a refined concept of crystal-structure type, while a genus is a set of crystals whose chemical formulae for primitive cells are similar to each other. The numbers of species in genus A, AB, and A_2 are shown to be 14, 51, and 29 respectively. Atomic arrangements of these structures are given in tables and figures., 紀要論文}, pages = {31--48}, title = {Group-theoretical definition of crystal-structure types}, year = {1986} }