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  1. Molecular symmetry - Wikipedia

    • A molecule has a center of symmetry when, for any atom in the molecule, an identical atom exists diametrically opposite this center an equal distance from it. In other words, a molecule has a center of symmetry when the points (x,y,z) and (−x,−y,−z) are identical. See more

    Overview

    In chemistry, molecular symmetry describes the symmetry present in molecules and the classification of these … See more

    Point group symmetry concepts

    The point group symmetry of a molecule is defined by the presence or absence of 5 types of symmetry element.
    • Symmetry axis: an axis around which a rotation by results in a molecule indistinguis… See more

    Symmetry groups

    The symmetry operations of a molecule (or other object) form a group. In mathematics, a group is a set with a binary operation that satisfies the four properties listed below.
    In a symmetry group, the group elements are the sy… See more

    Character tables

    For any group, its character table gives a tabulation (for the classes of the group) of the characters (the sum of the diagonal elements) of the matrices of all the irreducible representations of the group. As the numbe… See more

    Historical background

    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. The first character tables wer… See more

     
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  2. Centre (geometry) - Wikipedia

     
  3. Symmetry - Wikipedia

    WEBThis article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many …

    • Estimated Reading Time: 9 mins
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