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Show using the C4v point group character table the orthogonality of any two irreducible representations. Using...

Show using the C4v point group character table the orthogonality of any two irreducible representations.

Using the same point group demonstrate the property of the character table that two irreducible representations can be used to deduce the characters for another (ex combinations of the irreducible representations for px and py can be used to determine the characters for the irreducible representation of dxy)

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