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Schönflies Symbol

One of the set of symbols C_i, C_s, C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8, C_(2h), C_(3h), C_(4h), C_(5h), C_(6h), C_(2v), C_(3v), C_(4v), C_(5v), C_(6v), C_(inftyv), D_2, D_3, D_4, D_5, D_6, D_(2h), D_(3h), D_(4h), D_(5h), D_(6h), D_(8h), D_(inftyh), D_(2d), D_(3d), D_(4d), D_(5d), D_(6d), I, I_h, O, O_h, S_4, S_6, S_8, T, T_d, and T_h used to identify point groups.

Cotton (1990), gives a table showing the translations between Schönflies symbols and Hermann-Mauguin symbols. Some of the Schönflies symbols denote different sets of symmetry operations but correspond to the same abstract group and so have the same character table.

See also

Character Table, Hermann-Mauguin Symbol, Point Groups, Space Groups, Symmetry Operation

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References

Cotton, F. A. Chemical Applications of Group Theory, 3rd ed. New York: Wiley, p. 379, 1990.

Referenced on Wolfram|Alpha

Schönflies Symbol

Cite this as:

Weisstein, Eric W. "Schönflies Symbol." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchoenfliesSymbol.html

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