Question

I have point group D2h ,, for 1-4 dichlorobenzene , I want to reduce the 3N representation for this

Answer 1

Answer on Question#67438 – Chemistry | Inorganic Chemistry

1,4-C6H4Cl2, D2h, h = 2

E = 3, C2 = -1, i = -3, σ = 1

$$\begin{array}{l} A _ {g} = 1 / 8 (3 6 - 4 + 1 2 + 4) = 6 \\ B _ {1 g} = 1 / 8 (3 6 + 4 + 1 2 - 4) = 6 \\ B _ {2 g} = 1 / 8 (3 6 + 4 - 1 2 + 4) = 4 \\ B _ {3 g} = 1 / 8 (3 6 - 4 - 1 2 - 4) = 2 \\ A _ {u} = 1 / 8 (3 6 - 4 - 1 2 - 4) = 2 \\ B _ {1 u} = 1 / 8 (3 6 + 4 - 1 2 + 4) = 4 \\ B _ {2 u} = 1 / 8 (3 6 + 4 + 1 2 - 4) = 6 \\ B _ {3 u} = 1 / 8 (3 6 - 4 + 1 2 + 4) = 6 \\ \end{array}$$ $$\Gamma = 6 A _ {g} + 6 B _ {1 g} + 4 B _ {2 g} + 2 B _ {3 g} + 2 A _ {u} + 4 B _ {1 u} + 6 B _ {2 u} + 6 B _ {3 u}$$

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