On equivalent subgroups and supergroups of the space groups

E. F. Bertaut, Y. Billiet
1979 Acta Crystallographica Section A  
Symmetry operators (airs) of a space group G and (ill z./3) of a subgroup g are conjugated with respect to a similarity operator S = (SIT) where S is a 3 x 3 matrix and T a column matrix. The matrix S relates the lattice vectors of G to those of g whilst T describes the origin of the lattice of g in the coordinate system of G. We determine here the coefficients of the matrix S when G and g are equivalent, i.e. isosymbolic or enantiomorphic. Here the index ofg in G is equal to Idet Sl. Its
more » ... values are tabulated for all space groups. Abstract Integrated X-ray intensities were obtained from a single crystal of VO1.30 annealed below the ordering trans-
doi:10.1107/s0567739479001728 fatcat:u6hejiuogvfqndbbetnag43kne