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  2. Crystal system - Wikipedia

    en.wikipedia.org/wiki/Crystal_system

    The latter means, that enantiomorphic point groups describe chiral (enantiomorphic) structures. In the current table, "enantiomorphic" means that a group itself (considered as a geometric object) is enantiomorphic, like enantiomorphic pairs of three-dimensional space groups P3 1 and P3 2, P4 1 22 and P4 3 22. Starting from four-dimensional ...

  3. List of space groups - Wikipedia

    en.wikipedia.org/wiki/List_of_space_groups

    The 54 hemisymmorphic space groups contain only axial combination of symmetry elements from the corresponding point groups. Example for point group 4/mmm (): hemisymmorphic space groups contain the axial combination 422, but at least one mirror plane m will be substituted with glide plane, for example P4/mcc (, 35h), P4/nbm (, 36h), P4/nnc ...

  4. Austinite - Wikipedia

    en.wikipedia.org/wiki/Austinite

    This is enantiomorphism, and the mirror images are said to be enantiomorphs of each other. The possibility of enantiomorphic crystals is determined by the crystal symmetry, i.e., by the point group of the crystal species. There are 32 possible point groups, and 22 of these are capable of forming enantiomorphs. [9]

  5. List of character tables for chemically important 3D point groups

    en.wikipedia.org/wiki/List_of_character_tables...

    These groups are characterized by i) an n-fold proper rotation axis C n; ii) n 2-fold proper rotation axes C 2 normal to C n; iii) a mirror plane σ h normal to C n and containing the C 2 s. The D 1h group is the same as the C 2v group in the pyramidal groups section. The D 8h table reflects the 2007 discovery of errors in older references. [4]

  6. Crystallographic point group - Wikipedia

    en.wikipedia.org/wiki/Crystallographic_point_group

    In crystallography, a crystallographic point group is a three dimensional point group whose symmetry operations are compatible with a three dimensional crystallographic lattice. According to the crystallographic restriction it may only contain one-, two-, three-, four- and sixfold rotations or rotoinversions. This reduces the number of ...

  7. Rod group - Wikipedia

    en.wikipedia.org/wiki/Rod_group

    In mathematics, a rod group is a three-dimensional line group whose point group is one of the axial crystallographic point groups. This constraint means that the point group must be the symmetry of some three-dimensional lattice. Table of the 75 rod groups, organized by crystal system or lattice type, and by their point groups:

  8. Monoclinic crystal system - Wikipedia

    en.wikipedia.org/wiki/Monoclinic_crystal_system

    The table below organizes the space groups of the monoclinic crystal system by crystal class. It lists the International Tables for Crystallography space group numbers, [ 2 ] followed by the crystal class name, its point group in Schoenflies notation , Hermann–Mauguin (international) notation , orbifold notation, and Coxeter notation, type ...

  9. Triclinic crystal system - Wikipedia

    en.wikipedia.org/wiki/Triclinic_crystal_system

    The triclinic crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, [1] orbifold, type, and space groups are listed in the table below. There are a total of 2 space groups.