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There are 230 space groups in three dimensions, given by a number index, and a full name in Hermann–Mauguin notation, and a short name (international short symbol). The long names are given with spaces for readability. The groups each have a point group of the unit cell.
Working with Space Groups ⚫ I find it easiest to begin by reducing the space group to a point group. ⚫ This is done by removing all the translational symmetry elements (i.e. Fractions like ½) ⚫ Then try to identify what the symmetry operation is from the operation ⚫ Look up P2 1 /c
The Hermann–Mauguin symbol for a space group consists of a sequence of letters and numbers, here called the constituents of the HM symbol. (i) The first constituent is always a symbol for the conventional cell of the translation lattice of the space group (ii) The second part of the full HM symbol of a space group consists of one position
Space group 18, P2 1 2 1 2 (p. 272) | html | pdf | Space group 19, P 2 1 2 1 2 1 (p. 273) | html | pdf | Space group 20, C 222 1 (pp. 274-275) | html | pdf |
Space Group Diagrams and Tables Return link to the main menu Triclinic ... I 4 1 c d: 111. P-4 2 m: 112. P-4 2 c: 113. P-4 2 1 m: 114. P-4 2 1 c: 115. P-4 m 2: 116. P-4 c 2: 117. P-4 b 2: 118. P-4 n 2: 119. ... P 3 1 2: 150. P 3 2 1: 151. P 3 1 1 2: 152. P 3 1 2 1: 153. P 3 2 1 2: 154. P 3 2 2 1: 155. R 3 2: 156. P 3 m 1: 157. P 3 1 m: 158. P 3 ...
Space Group Diagrams and Tables. Birkbeck College, University of London. ...
Space group 94, P4 2 2 1 2 (pp. 410-411) | html | pdf | Space group 95, P 4 3 22 (p. 412) | html | pdf | Space group 96, P 4 3 2 1 2 (p. 413) | html | pdf |
