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On equivalent subgroups and supergroups of the space groups
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
doi:10.1107/s0567739479001728
fatcat:u6hejiuogvfqndbbetnag43kne