MAXRD SYMBOL
$PointGroups

$PointGroups
is an association containing data on the 32 crystallographic point groups.
DetailsDetails
- The Keys of $PointGroups are the (formatted) symbols of the corresponding point group and the Values are themselves associations organised in the following structure:
-
Symbol (Full symbol) Point group number Crystal system Laue class Schoenflies symbol Setting Class names Groth Friedel (Hexaognal) (Rhombohedral) Properties Centrosymmetric? Enantiomorphic? Polar? Symmetry operations Matrix operations Symmetry operation (ITA notation) Symmetry operation (Setiz notation) Subgroups { Subgroup class type Subgroup symmetry Subgroup list } - Entries in parentheses are only present where applicable.
- Some point groups may have multiple representations (various choices of unique axis, orientation of symmetry elements, rhombohedral axes). This information is stored in an additional sub-assoociation;
-
… Alternative settings Symbol (Full symbol) (Full symbol, alternative postfix) (Symbol, alternative postfix) (Symbol, plain string) (Symbol, plain string, alternative postfix) (Full symbol, plain string) (Full symbol, plain string, alternative postfix) Setting Symmetry operations … Subgroups … - Entries in parentheses are only present where applicable.
- Although point groups do not have a «point group number» associated with them like the space groups, they have been attributed one here to arrange them in “canonical order”.
- The "ClassNames" data is found in table 10.1.2.4 on page 794 in International Tables for Crystallography,volume A [1]
- $PointGroups is loaded from:
Related LinksRelated Links
- [1] T. Hahn, Space-Group Symmetry, 5th ed., International Tables for Crystallography. Kluwer Academic Publishers, 2002, volume A. Website: http://it.iucr.org/A/.