Data Item _space_group_symop.generator_xyz


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Item Description

A parsable string giving one of the symmetry generators of the space group in algebraic form. If W is a matrix representation of the rotational part of the generator defined by the positions and signs of x, y and z, and w is a column of translations defined by the fractions, an equivalent position X' is generated from a given position X by the equation: X' = WX + w (Note: X is used to represent bold_italics_x in International Tables for Crystallography Vol. A, Section 5) When a list of symmetry generators is given, it is assumed that the complete list of symmetry operations of the space group (including the identity operator) can be generated through repeated multiplication of the generators, that is, (W3, w3) is an operation of the space group if (W2,w2) and (W1,w1) (where (W1,w1) is applied first) are either operators or generators and: W3 = W2 x W1 w3 = W2 x w1 + w2

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char item types / multi-word items ...
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[][ \t_(),.;:"&<>/\{}'`~!@#$%?+=*A-Za-z0-9|^-]*
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