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

International Tables for Crystallography (2010). Vol. B, ch. 1.5, p. 187   | 1 | 2 |

Figure 1.5.5.5 

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

[Figure 1.5.5.5]
Figure 1.5.5.5

Brillouin zone with asymmetric unit and representation domain of CDML for arithmetic crystal class [mm2F]: [a^{-2} \,\lt \, b^{-2}+c^{-2}], [b^{-2} \,\lt \, c^{-2}+a^{-2}] and [c^{-2} \,\lt \, a^{-2}+b^{-2}]. Space groups [Fmm2-C_{2v}^{18}] (42), [Fdd2-C_{2v}^{19}] (43). Reciprocal-space group ([Imm2])*, No. 44: [a^{*2} \,\lt \, b^{*2}+c^{*2}], [b^{*2} \,\lt \, c^{*2}+a^{*2}] and [c^{*2} \,\lt \, a^{*2}+b^{*2}] (see Table 1.5.5.5[link]). The representation domain of CDML is different from the asymmetric unit. Auxiliary points: T4: [0,\textstyle{1 \over 2},-\textstyle{1 \over 2}]; Y2: [\textstyle{1 \over 2},0,\textstyle{1 \over 2}]; Y4: [\textstyle{1 \over 2},0,-\textstyle{1 \over 2}]; Z2: [0,0, -\textstyle{1 \over 2}]. Flagpoles: [0,0,z]: [-\textstyle{1 \over 2} \,\lt \, z \,\lt \, 0]; [0,\textstyle{1 \over 2},z]: [-\textstyle{1 \over 2} \,\lt \, z \,\lt \, 0]. Wings: [x,0,z]: [0 \,\lt \, x \,\lt \, \textstyle{1 \over 2}, -\textstyle{1 \over 2} \,\lt \, z \,\lt \, 0]; [0,y,z]: [0 \,\lt \, y \,\lt \, \textstyle{1 \over 2}, -\textstyle{1 \over 2} \,\lt \, z \,\lt \, 0].