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 1.5.4.2 

M. I. Aroyoa* and H. Wondratschekb

a Faculty 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 1.5.4.2 | top | pdf |
Primitive coefficients [(k_{pi})^{T}] of k from CDML expressed by the adjusted coefficients [(k_{ai})] of IT A for the different Bravais types of lattices in direct space

Lattice types [k_{p1}] [k_{p2}] [k_{p3}]
aP , mP, oP, tP, cP, rP [k_{a1}] [k_{a2}] [k_{a3}]
mA , oA [k_{a1}] [k_{a2}\!-\!k_{a3}] [k_{a2}\!+\!k_{a3}]
mC , oC [k_{a1}\!-\!k_{a2}] [k_{a1}\!+\!k_{a2}] [k_{a3}]
oF , cF [k_{a2}\!+\!k_{a3}] [k_{a1}\!+\!k_{a3}] [k_{a1}\!+\!k_{a2}]
oI , cI [-k_{a1}\!+\!k_{a2}\!+\!k_{a3}] [k_{a1}\!-\!k_{a2}\!+\!k_{a3}] [k_{a1}\!+\!k_{a2}\!-\!k_{a3}]
tI [-k_{a1}\!+\!k_{a3}] [k_{a1}\!+\!k_{a3}] [k_{a2}\!-\!k_{a3}]
hP [k_{a1}\!-\!k_{a2}] [k_{a2}] [k_{a3}]
hR (hexagonal) [k_{a1}\!+\!k_{a3}] [-k_{a1}\!+\!k_{a2}\!+\!k_{a3}] [-k_{a2}\!+\!k_{a3}]