Triclinic system
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.3,
p.
[ doi:10.1107/97809553602060000528 ]
...
Isomorphic subgroups
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2,
p.
[ doi:10.1107/97809553602060000528 ]
space group and each plane group are given in Tables
13.1.2.1 and
13.1.2.2 without origin indications.
Table
13.1.2.1 | top | pdf |
Isomorphic subgroups of the plane groups
OBLIQUE ...
Parity conditions
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.4,
p.
[ doi:10.1107/97809553602060000528 ]
of the origin has on the coefficients (cf. Bertaut, 1956 ; Billiet, 1978 ; Bertaut & Billiet, 1979).
The explicit forms of the matrices S for each space group and each plane group are given in Tables
13.1.2.1 and
13.1.2.2 ...
Plane groups
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.5,
p.
[ doi:10.1107/97809553602060000528 ]
...
Tables of matrices for isomorphic subgroups
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.6,
p.
[ doi:10.1107/97809553602060000528 ]
subgroups
The matrices and the restrictions on the coefficients are listed for the plane groups in Table
13.1.2.1 and for the space groups in Table
13.1.2.2 .
For the triclinic and monoclinic systems, there is an infinite choice ...
Additional restrictions
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.1.1,
p.
[ doi:10.1107/97809553602060000528 ]
References
Bertaut, E. F. &
Billiet,
Y. (1979). On equivalent subgroups and supergroups of the space groups. Acta Cryst. A 35, 733–745. Google Scholar
International Tables for Crystallography (2006). Vol. A. ch ...
Cubic and orthorhombic systems
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.2,
p.
[ doi:10.1107/97809553602060000528 ]
...
Monoclinic, tetragonal, trigonal, hexagonal systems
Billiet, Y. and
Bertaut, E. F.,
International Tables for Crystallography
(2006).
Vol. A,
Section 13.1.2.1,
p.
[ doi:10.1107/97809553602060000528 ]
References
Bertaut, E. F. &
Billiet,
Y. (1979). On equivalent subgroups and supergroups of the space groups. Acta Cryst. A 35, 733–745. Google Scholar
International Tables for Crystallography (2006). Vol. A. ch ...
