The Seventeen Plane Groups (Two-dimensional Space Groups)

  • Kim Jin-Gyu (Division of Nano-Material & Environment Science, Korea Basic Science Institute) ;
  • Kim Youn-Joong (Division of Nano-Material & Environment Science, Korea Basic Science Institute) ;
  • Kim Young-Sang (Department of Material Chemistry, Korea University) ;
  • Ko Jaejung (Department of Material Chemistry, Korea University) ;
  • Kang Sang Ook (Department of Material Chemistry, Korea University) ;
  • Han Won-Sik (Department of Material Chemistry, Korea University) ;
  • Suh Il-Hwan (Department of Material Chemistry, Korea University)
  • 김진규 (Nano-물질환경과학부, 한국기초과학지원연구원) ;
  • 김윤중 (Nano-물질환경과학부, 한국기초과학지원연구원) ;
  • 김영상 (고려대학교 신소재화학과(서창 campus)) ;
  • 고재중 (고려대학교 신소재화학과(서창 campus)) ;
  • 강상욱 (고려대학교 신소재화학과(서창 campus)) ;
  • 한원식 (고려대학교 신소재화학과(서창 campus)) ;
  • 서일환 (고려대학교 신소재화학과(서창 campus))
  • Published : 2005.06.01

Abstract

Six basic symmetries and five Bravais lattices existing in the two-dimensional lattice are derived and then ten two-dimensional point groups are classified by each of five Bravais lattices. Finally seventeen two-dimensional space groups belonging to the ten point groups are studied.

Two-dimensional lattice에 존재하는 6가지 기본대칭과 5개의 Bravais lattice를 유도하였고 10개의 two-dimensional point groups를 5개의 각 Bravais lattice에 따라 분류하였다. 마지막으로 10개 point groups에 속한 17 two-dimensional space groups를 고찰하였다.

Keywords

References

  1. International Tables for Crystallography, Vol. A. Edited by Theo Hahn, Fourth, revised edition, Kluwer Academic Publishers, p. 15 (1995)
  2. Charles Kittel, Introduction to Solid state Physics. Second Edition, John Wiley & Sons, Inc. p. 7 (1956)
  3. Suh, I.-H., Oh, I.-K., Yoon, Y. K. and Kim, M.-J., J. of the Korean Physical Society, 19(4), 280-285 (1986)