State indicate coordinate system used

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Let's consider Benzene in this example. From its given character table, after you have determined its irreducible representation (the Symmetry equivalent sets), how would you go about figuring out how the orbitals of benzene or any molecule for that matter would transform under the operations of this point group? In other words, how would you determine the representations spanned by each symmetry equivalent set of orbitals using the character table. Clearly indicate coordinate system used in finding the answer. Basically trying to work up to building the molecular orbital diagram. I am stuck in the step where you determine the transformation sequences of each symmetry subset.

Reference no: EM13187367

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