Character table
In group theory, a branch of abstract algebra, a character table is a two-dimensional table whose rows correspond to irreducible representations, and whose columns correspond to conjugacy classes of group elements. The entries consist of characters, the traces of the matrices representing group elements of the column's class in the given row's group representation. In chemistry, crystallography, and spectroscopy, character tables of point groups are used to classify e.g. molecular vibrations according to their symmetry, and to predict whether a transition between two states is forbidden for symmetry reasons. Many university level textbooks on physical chemistry, quantum chemistry, spectroscopy and inorganic chemistry devote a chapter to the use of symmetry group character tables.
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6-j symbolATLAS of Finite GroupsBaby monster groupBernd Fischer (mathematician)Bilbao Crystallographic ServerBurnside's theoremCharacter tablesGroup representationList of character tables for chemically important 3D point groupsMagma (computer algebra system)Molecular symmetryMolecular vibrationMonstrous moonshineOuter automorphism groupQuaternion groupRaman scatteringReal elementSelection ruleSymmetry of diatomic moleculesVibrational spectroscopy of linear molecules
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Character table
In group theory, a branch of abstract algebra, a character table is a two-dimensional table whose rows correspond to irreducible representations, and whose columns correspond to conjugacy classes of group elements. The entries consist of characters, the traces of the matrices representing group elements of the column's class in the given row's group representation. In chemistry, crystallography, and spectroscopy, character tables of point groups are used to classify e.g. molecular vibrations according to their symmetry, and to predict whether a transition between two states is forbidden for symmetry reasons. Many university level textbooks on physical chemistry, quantum chemistry, spectroscopy and inorganic chemistry devote a chapter to the use of symmetry group character tables.
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In group theory, a branch of a ...... mmetry group character tables.
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Rowland, Todd
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Weisstein, Eric W
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Character Table
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CharacterTable
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In group theory, a branch of a ...... mmetry group character tables.
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Character table
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