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

International Tables for Crystallography (2010). Vol. B, ch. 1.5, p. 181

Table 1.5.4.2 

M. I. Aroyoa* and H. Wondratschekb

aDepartamento de Fisíca de la Materia Condensada, Facultad de Cienca y Technología, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain , and bInstitut für Kristallographie, Universität, D-76128 Karlsruhe, Germany
Correspondence e-mail:  wmpararm@lg.ehu.es

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}]