International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2006). Vol. B, ch. 1.5, p. 167

Table 1.5.4.1 

M. I. Aroyoa* and H. Wondratschekb

aFaculty of Physics, University of Sofia, bulv. J. Boucher 5, 1164 Sofia, Bulgaria , and bInstitut für Kristallographie, Universität, D-76128 Karlsruhe, Germany
Correspondence e-mail:  aroyo@phys.uni-sofia.bg

Table 1.5.4.1| top | pdf |
Conventional coefficients [(k_{i})^{T}] of k expressed by the adjusted coefficients [(k_{ai})] of IT A for the different Bravais types of lattices in direct space

Lattice types[k_{1}][k_{2}][k_{3}]
aP, mP, oP, tP, cP, rP [k_{a1}] [k_{a2}] [k_{a3}]
mA, oA [k_{a1}] [2k_{a2}] [2k_{a3}]
mC, oC [2k_{a1}] [2k_{a2}] [k_{a3}]
oF, cF, oI, cI [2k_{a1}] [2k_{a2}] [2k_{a3}]
tI [k_{a1} + k_{a2}] [-k_{a1} + k_{a2}] [2k_{a3}]
hP [k_{a1} - k_{a2}] [k_{a2}] [k_{a3}]
hR (hexagonal) [2k_{a1} - k_{a2}] [-k_{a1} + 2k_{a2}] [3k_{a3}]