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Understanding Symmetry Operations in Molecules: A Comprehensive Guide

Learn about symmetry operations and elements in molecules, point groups, and the symmetry properties of various shapes like octahedron and tetrahedron. Explore an example of an Improper-Rotation Axis Point Group Flow Chart.

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Understanding Symmetry Operations in Molecules: A Comprehensive Guide

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  1. Symmetry operations are movements or actions that leave the molecule apparently unchanged. Symmetry elements are the points, lines, or planes in space about which the symmetry operation takes place Every object belongs to a characteristic group called the ‘point group’ that describes/contains all the symmetry operations/elements of that object.

  2. Performing a symmetry operation leaves the molecule/object apparently unmoved!

  3. An octahedron has the same symmetry properties of a cube

  4. A tetrahedron contains a subset of the symmetry properties of a cube

  5. Example of an Improper-Rotation Axis

  6. Point Group Flow Chart (or Decision Tree)

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