Molecular Symmetry IR and Raman Activity of the Vibrational Modes of C2H4

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IR and Raman activity of ethene with a D2h point group. When an inversion operation is done, x becomes -x, y becomes -y, z becomes -z. Therefore, x, y, z have a u (ungerade) symmetry. Whereas, x^2, y^2, z^2, xy, xz, yz remain unchanged and therefore have a g (gerade) 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