by Akiji Yamamoto, NIMS, Japan
All superspace groups for one-dimensionally modulated structures (756 superspace groups, excluding enantiomorphic pairs) are given. These are classified into 6 systems. For publications using this table, the following paper should be cited. Akiji Yamamoto,Acta Crystallogr. A52, 509-560, (1996).(Last modified Sept. 27, 2007)
Click one of 6 items. The table of each superspace group lists the one-line symbols of the superspace groups, those of equivalent superspace groups if any (sometimes, the same superspace group symbols are repeated but neglect it), centering translations for the non-primitive lattice, symmetry operations for the (first) superspace group and reflection conditions if any.
Reference
A. Yamamoto, T. Janssen, A. Janner and P. M. de Wolff, Acta Cryst. A41 (1985) 528. T. Janssen, A. Janner, A. Looijenga-Vos, and P. M. de Wolff", International Tables for Crystallography, Vol. C Kluwer Acadimic Publishers (Dordrecht) pp797-835 (1992).
Superspace Groups for Two-dimensionally Modulated Structures
by Akiji Yamamoto, NIMS, Japan
A provisional list of all (3355) superspace groups for two-dimensionally modulated structures (superspace groups, excluding enantiomorphic pairs) are given. These are classified into 6 systems. For publications using this table, the following paper should be cited. Akiji Yamamoto, Acta Crystallogr. A52, 509-560, (1996).(Last modified Sept. 27, 2007)
Click one of 6 items. The table of each superspace group lists the one-line symbols of the superspace groups, those of equivalent superspace groups if any (sometimes, the same superspace group symbols are repeated but neglect it), centering translations for the non-primitive lattice, symmetry operations for the (first) superspace group and reflection conditions if any. The symbols .ss., .st. etc. stand for the translation along 4-th and 5-th direction when the rotational part is 2x2 identity matrix. The symbol g represents the glide plane in the 2D internal space.
Reference
T. Janssen, A. Janner, A. Looijenga-Vos, and P. M. de Wolff, International Tables for Crystallography, Vol. C Kluwer Acadimic Publishers (Dordrecht) pp797-835 (1992). A. Yamamoto, Acta Crystallogr. A52, 509-560 (1996). T. Janssen, T. , J. L. Birman, F. Denoyer,V. A. Koptsik,J. L. Verger-Gaugry, D. Weigel, A. Yamamoto, and S. C. Abrahams, Acta Cryst. A58 (2002) 605-621.
Superspace Groups for Three-dimensionally Modulated Structures
by Akiji Yamamoto, NIMS, Japan
A provisional list of all (11764) superspace groups for three-dimensionally modulated structures (superspace groups, excluding enantiomorphic pairs) are given. These are classified into 7 systems. For publications using this table, the following paper should be cited. Akiji Yamamoto, Acta Crystallogr. A52, 509-560, (1996).(Last modified Sept. 27, 2007)
Click one of 7 items. The table of each superspace group lists the one-line symbols of the superspace groups, those of equivalent superspace groups if any (sometimes, the same superspace group symbols are repeated but neglect it), centering translations for the non-primitive lattice, symmetry operations for the (first) superspace group and reflection conditions if any. The symbols .sss., .stt. etc. stand for the translation along 4-th, 5-th and 6-th direction when the rotational part is 3x3 identity matrix.
Reference
T. Janssen, A. Janner, A. Looijenga-Vos, and P. M. de Wolff, International Tables for Crystallography, Vol. C Kluwer Acadimic Publishers (Dordrecht) pp797-835 (1992). A. Yamamoto, Acta Crystallogr. A52, 509-560 (1996). T. Janssen, T. , J. L. Birman, F. Denoyer,V. A. Koptsik,J. L. Verger-Gaugry, D. Weigel, A. Yamamoto, and S. C. Abrahams, Acta Cryst. A58 (2002) 605-621.