Interrelation between Two-Dimensional Direct and Reciprocal Lattices

2차원적(次元的)인 직격자(直格子)와 역격자간(逆格子間)의 상호관계(相互關係)

  • Kim, Young-Sang (Department of Material Chemistry, Korea University) ;
  • Ko, Jae-Jung (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) ;
  • Kim, Jin-Gyu (Division of Electron Microscopic Research, Korea Basic science Institute) ;
  • Kim, Youn-Joong (Division of Electron Microscopic Research, Korea Basic science Institute)
  • 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)) ;
  • 김진규 (전자현미경연구부, 한국기초과학지원연구원) ;
  • 김윤중 (전자현미경연구부, 한국기초과학지원연구원)
  • Published : 2006.06.30

Abstract

After the definition of the basis vectors of the two-dimensional direct and reciprocal lattices, various interrelations between them are derived, and additionally how to calculate $\vec{d^*}(hk)//direction\;of\;(hk),\;d(hk)=1/d^*(hk),\;[uv]$, planes belonging to a direction [uv], areas and interplanar spacing of 2-dimensional low different lattices are shown.

2차원적(二次元的)인 직격자(直格子)와 역격자(逆格子)의 기본(基本) vectors를 정의(定義)하고 이들 간(間)에 존재(存在)하는 여러 가지 상호관계(相互關係)를 유도(誘導)한 후(後) $\vec{d^*}(hk)//direction\;of\;(hk),\;d(hk)=1/d^*(hk),\;[uv]$ 방향(方向)에 속(屬)한 (hk)면(面)들, 그리고 이차원적(二次元的)인 4가지 격자(格子)들의 면적(面積) 및 면간건리등(面間距離等)의 계산법(計算法)을 제시(提示)하였다.

Keywords

References

  1. Kim, J. -G., et al., Korean J. Crystallography, 16(1), 11 (2005)
  2. International Tables for Crystallography, Vol. A. Edited by Theo Hahn, fourth, revised edition, Kluwer Academic Publishers, p. 15 (1995)