what are gerade and ungerade
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An alternative method for determining the symmetry of the molecular orbital is to rotate the orbital about the line joining the two nuclei and then rotate the orbital about the line perpendicular to this. If the sign of the lobes remains the same, the orbital is gerade, and if the sign changes, the orbital is ungerade.
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The symbols g and u come from the German words "gerade" and "ungerade" meaning "even" and "odd" respectively. If inversion through the center of symmetry in a molecule results in the same phases for the molecular orbital, then the MO is said to have gerade symmetry, from the German word for even.
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