Item _space_group_symop.generator_xyz
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
Category
space_group_symop
Item Examples
Example 1:
c glide reflection through the plane (x,1/4,z) chosen as
one of the generators of the space group
x,1/2-y,1/2+z
Mandatory Code
no
Data Type Code
char
Default Value
x,y,z
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