How to read (and understand) Volume A of International Tables for Crystallography: an introduction for nonspecialists

Dauter, Z.; Jaskolski, M.

doi:10.1107/S0021889810026956

Figure 15
(a) A diagram with symmetry elements (left) and with equivalent points (represented by circles) in general positions (right), together with the fractional coordinates (numbered) of those equivalent positions (bottom list) presented for the space group P4₃2₁2 in the style of ITA. The numbers near the equivalent points refer to their elevation above (or below) the ab base of the unit cell (for example, ` $[1\over2]$ −' stands for $[1\over2]$ − z). (b) The same diagrams as in (a) but with the principal point with coordinates (x, y, z) highlighted in brown. Also highlighted are its x- and y-translation equivalents. Coordinates like these (brown), generated by pure lattice translations, are not listed in ITA. (c) Two points (colored) in space group P4₃2₁2, related by the 2₁ axis parallel to z located at (0, 0, z). Their coordinates are highlighted by matching colors in the list of equivalent positions below the diagrams. (d) Two points (colored) in space group P4₃2₁2, related by the 2₁ axis parallel to z located at (0, $[1\over2]$ , z), contained within the 4₃ axis at this position. The blue point in this diagram is equivalent to the blue point in (c) by a unit translation along y.

JOURNAL OF
APPLIED
CRYSTALLOGRAPHY

ISSN: 1600-5767

Volume 43| Part 5| August 2010| Pages 1150-1171

doi:10.1107/S0021889810026956

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