Consider a trigonal prismatic six-coordinate ML₆ complex with D_3h symmetry. Use the D_3h character table (Resources section 4) to divide the d orbitals of the metal into sets of defined symmetry type. Assume that the ligands are at the same angle relative to the xy-plane as in a tetrahedral complex.

Data from Resource section 4.

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D3h (6m²) A A₁ E' A A E" E 1 1 2 1 1 2 2C₂ 1 1 -1 1 -1 30₂ 1 -1 1 -1 0 1 1 2 -1 -1 -2 25, 1 1 -1 -1 1 30, 1 -1 0 -1 1 0 h=12 R₂ (x, y) Z (R,,R) x²+y²2, z² (x²-y², xy) (zx, yz)