Hermann-Mauguin space-group symbols

Space Group Number Hermann-Mauguin Symbol Crystallographic System Ranking... 

Every space group listed in the family tree corresponds to a structure. Since the space group symbol itself states only symmetry, and gives no information about the atomic positions, additional information concerning these is necessary for every member of the family tree (Wyckoff symbol, site symmetry, atomic coordinates). The value of information of a tree is rather restricted without these data. In simple cases the data can be included in the family tree in more complicated cases an additional table is convenient. The following examples show how specifications can be made for the site occupations. Because they are more informative, it is advisable to label the space groups with their full Hermann-Mauguin symbols. 

Table 5.4 Order of the Hermann-Mauguin symbols in space group symbols...

Write out the full Hermann-Mauguin space group symbols for the short symbols ... 

Unit cell a, b, c, a, y, with s.u. (standard uncertainty) Hermann-Mauguin space group symbol Atomic parameters ... 

Find out which symmetry elements are present in the structures of the following compounds. Derive the Hermann-Mauguin symbol of the corresponding space group (it may be helpful to consult International Tables for Crystallography, Vol. A). 

Table 2.4. Space groups, crystal systems, point groups, and the Hermann-Mauguin Symbols.

Space group number Point group Hermann- Mauguin symbol... 

The Hermann- Mauguin notation is generally used by crystallographers to describe the space group. Tables exist to convert this notation to the Schoen-flies notation. The first symbol is a capital letter and indicates whether the lattice is primitive. The next symbol refers to the principal axis, whether it is rotation, inversion, or screw, e.g.,... 

Designate space groups by a combination of unit cell type and point group symbol, modified to include screw axes and glide planes (Hermann-Mauguin) 230 space groups are possible. Use italic type for conventional types of unit cells (or Bravais lattices) P, primitive I, body-centered A, A-face-centered B, B-face-centered C, C-face-centered P, all faces centered and R, rhombohedral. 

Class and space groups (short) symbols C. Hermann C. Mauguin (1935), standard settings. Symbols according to International Tables for Crystallography (1996). 

Headline. Provides the short international (Hermann-Mauguin) space group symmetry symbol (Cmm2) followed by the SchOnflies symbol of... 

The first place in the Hermann-Mauguin symbol for a space group refers to ... 

The first entry is the space group number, the second is the full Hermann-Mauguin symbol, the third is the short Hermann-Mauguin symbol when it differs from the full symbol, or else the Schoenflies symbol, the forth entry, when it appears, is the Schoenflies symbol. 

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