Question

CN NOCN NC CN Nolin CN CN Dyd E 258 264 25s)* C₂ 462 4ord 'C-N Molecule: Lw (CN) Use the CN bond vectors as your besis Find total rep

Answer 1

NG, CN NC WCN NcIon CN

[W(CN)8]2- with D4h symmetry.

D4h E 204 02 202 2C"2 i 254 oh 20v=oxz 20d NOUA 9 [(x,y,z) 3 Tred 27 1 1 5 -1 1 -5 3 -1 -3 1 -1 -1 1 -3 -3 1 5 -1 1 -1 5 3 1 3 1 1 1

Where NOUA is the number of unshifted atoms during symmetry operations.

Γ(x,y,z) is the character of each symmetry element with CN bond vectors as basis.

For Cn, n> 2, it is 2cos$\Theta$ + 1 and for S4 improper rotation, it is 2cos$\Theta$ - 1.

For planes, it is always 1.

In order to calculate the Γred( total reducible representations), we have to multiply NOUA with Γ(x,y,z) to get  Γred as shown above in the table.