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Using the Cav character table and the projection operator, generate the reducible representation and the projection(s) for the E-symmetry SALCs of the orbital system shown

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Using the Cav character table and the projection operator, generate the reducible representation and the projection(s) for the E-symmetry SALCs of the orbital system shown below and write the normalized wavefunctions (assume the C4 and C2 axes are colinear along the z direction). Z a C4 E 2C4 C2 20 2 A 1 1 1 1 1 z x2 + y2, z A2 1 1 1 -1 -1 RE B 1 1 -1 x2 - y2 B2 1 -1 1 -1 1 E 2 0 -2 0 0 (x, y), (Ry, R) (xz, yz)

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