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Mulliken Symbols


Symbols used to identify irreducible representations of groups:

A= singly degenerate state which is symmetric with respect to rotation about the principal C_n axis,

B= singly degenerate state which is antisymmetric with respect to rotation about the principal C_n axis,

E= doubly degenerate,

T= triply degenerate,

X_g= (gerade, symmetric) the sign of the wavefunction does not change on inversion through the center of the atom,

X_u= (ungerade, antisymmetric) the sign of the wavefunction changes on inversion through the center of the atom,

X_1= (on a or b) the sign of the wavefunction does not change upon rotation about the center of the atom,

X_2= (on a or b) the sign of the wavefunction changes upon rotation about the center of the atom,

' = symmetric with respect to a horizontal symmetry plane sigma_h,

" = antisymmetric with respect to a horizontal symmetry plane sigma_h.


See also

Character Table, Group Theory, Irreducible Representation

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References

Cotton, F. A. Chemical Applications of Group Theory, 3rd ed. New York: Wiley, pp. 90-91, 1990.

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Mulliken Symbols

Cite this as:

Weisstein, Eric W. "Mulliken Symbols." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MullikenSymbols.html

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