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

International Tables for Crystallography (2010). Vol. B, ch. 2.2, p. 220

Table 2.2.3.3 

C. Giacovazzoa*

aDipartimento Geomineralogico, Campus Universitario, 70125 Bari, Italy, and Institute of Crystallography, Via G. Amendola, 122/O, 70125 Bari, Italy
Correspondence e-mail: carmelo.giacovazzo@ic.cnr.it

Table 2.2.3.3| top | pdf |
Allowed origin translations, seminvariant moduli and phases for centrosymmetric non-primitive space groups

 H–K group
[(h, l) {\underline C} (2, 2)][(k, l) {\underline I}(2, 2)][(h + k + l) {\underline F}(2)][(l) {\underline I} (2)][{\underline I}]
Space groups [\displaystyle C {2\over m}] Immm Fmmm [\displaystyle I {4\over m}] [Im \bar{3}]
[\displaystyle C {2\over c}] Ibam Fddd [\displaystyle I {4_{1}\over a}] [Ia \bar{3}]
Cmcm Ibca [Fm \bar{3}] [\displaystyle I {4\over m} mm] [Im \bar{3} m]
Cmca Imma [Fd \bar{3}] [\displaystyle I {4\over m} cm] [Ia \bar{3} d]
Cmmm   [Fm \bar{3} m] [\displaystyle I {4_{1}\over a} md]  
Cccm   [Fm \bar{3} c] [\displaystyle I {4_{1}\over a} cd]  
Cmma   [Fd \bar{3} m]    
Ccca   [Fd \bar{3} c]    
Allowed origin translations (0, 0, 0) (0, 0, 0) (0, 0, 0) (0, 0, 0) (0, 0, 0)
[(0, 0, {1\over 2})] [(0, 0, {1\over 2})] [({1\over 2}, {1\over 2}, {1\over 2})] [(0, 0, {1\over 2})]  
[({1\over 2}, 0, 0)] [(0, {1\over 2}, 0)]      
[({1\over 2}, 0, {1\over 2})] [({1\over 2}, 0, 0)]      
Vector [{\bf h}_{s}] seminvariantly associated with [{\bf h} = (h, k, l)] [(h, l)] [(k, l)] [(h + k + l)] (l) [(h, k, l)]
Seminvariant modulus [\boldomega _{s}] (2, 2) (2, 2) (2) (2) (1, 1, 1)
Seminvariant phases [\varphi_{\rm eee}] [\varphi_{\rm eee}] [\varphi_{\rm eee}] [\varphi_{\rm eoe}]; [\varphi_{\rm eee}] [\varphi_{\rm ooe}]; [\varphi_{\rm oee}] All
Number of semindependent phases to be specified 2 2 1 1 0