Character tables

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Character tables
Point group
Basis functions having the same symmetry as the
IR
Classes of symmetry operations
Totally symmetric representation of the group
Symmetry or Mulliken labels, each corresponding
to a different irreducible representation
cubic functions
Characters (of the IRs of the group)
quadratic functions
linear functions translations along specified
axis R, rotation about specified axis
Symmetries of the s, p, d, and f orbitals can be
found here (by their labels). Ex the dxy
orbital shares the same symmetry as the B2
IR. The s orbital always belongs to the totally
symmetric representation (the first listed IR of
any point group).
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More on Mulliken labels