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Find the reducible representation 3N generated by the full basis of atomic displacements intrans-difluoroethene C2H2F2 (C2h...

Find the reducible representation 3N generated by the full basis of atomic displacements intrans-difluoroethene C2H2F2 (C2h symmetry). Reduce 3N into a sum of irreducible representations (irreps), and determine which of these irreps describe the normal modes of vibration of the molecule. Finally, determine the maximum number of absorption bands that can be observed in the IR and Raman spectra of trans-difluoroethene. Show your working.

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