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  2. List of character tables for chemically important 3D point ...

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

    This lists the character tables for the more common molecular point groups used in the study of molecular symmetry.These tables are based on the group-theoretical treatment of the symmetry operations present in common molecules, and are useful in molecular spectroscopy and quantum chemistry.

  3. Category:Finite groups - Wikipedia

    en.wikipedia.org/wiki/Category:Finite_groups

    Print/export Download as PDF ... CN-group; Coherent set of characters; Commuting probability; ... List of character tables for chemically important 3D point groups;

  4. Molecular symmetry - Wikipedia

    en.wikipedia.org/wiki/Molecular_symmetry

    Hans Bethe used characters of point group operations in his study of ligand field theory in 1929, and Eugene Wigner used group theory to explain the selection rules of atomic spectroscopy. [13] The first character tables were compiled by László Tisza (1933), in connection to vibrational spectra.

  5. Point groups in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_three...

    In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere.It is a subgroup of the orthogonal group O(3), the group of all isometries that leave the origin fixed, or correspondingly, the group of orthogonal matrices.

  6. Category:Group theory - Wikipedia

    en.wikipedia.org/wiki/Category:Group_theory

    Print/export Download as PDF ... List of character tables for chemically important 3D point groups; Lorentz group; ... Point group; Point groups in three dimensions;

  7. List of space groups - Wikipedia

    en.wikipedia.org/wiki/List_of_space_groups

    In Hermann–Mauguin notation, space groups are named by a symbol combining the point group identifier with the uppercase letters describing the lattice type. Translations within the lattice in the form of screw axes and glide planes are also noted, giving a complete crystallographic space group. These are the Bravais lattices in three dimensions:

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  9. Character table - Wikipedia

    en.wikipedia.org/wiki/Character_table

    The irreducible complex characters of a finite group form a character table which encodes much useful information about the group G in a concise form. Each row is labelled by an irreducible character and the entries in the row are the values of that character on any representative of the respective conjugacy class of G (because characters are class functions).