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For C_2H_4 find the following. The point group for this shape. The reducible rep

ID: 482958 • Letter: F

Question

For C_2H_4 find the following. The point group for this shape. The reducible representation of the 12 valence orbitals (4-ls. 2-2s and 6-p) The linear combination of the irreducible representations contained within the reducible representation of part 2. The 12 MO for the irreducible in part 3. The reducible representation of the xyz Cartesian coordinates centered on each nuclear center The linear combination of the irreducible representations contained within the reducible representation of part 5. The irreducible representations in part 6 that are IR active.

Explanation / Answer

For C2H4 find the following -

1) The point group for this shape (H2C=CH2) is D2h

2. The reducible representation of the 12 valence orbital (4-1s,2-2s and 6-2p)

D2h

E

Z

Y

X

i

XY

XZ

YZ

Irreps

H(1s)

4

0

0

0

0

4

0

0

ag+b1g+b2u+b3u

C(2s)

2

0

0

2

0

2

2

0

ag+b3u

C(2px)

2

0

0

-2

0

-2

2

0

b2g+ b1u

C(2py)

2

0

0

2

0

2

2

0

ag +b3u

C(2pz)

2

0

0

-2

0

2

-2

0

b1g+ b2u

D2h

E

Z

Y

X

i

XY

XZ

YZ

Irreps

H(1s)

4

0

0

0

0

4

0

0

ag+b1g+b2u+b3u

C(2s)

2

0

0

2

0

2

2

0

ag+b3u

C(2px)

2

0

0

-2

0

-2

2

0

b2g+ b1u

C(2py)

2

0

0

2

0

2

2

0

ag +b3u

C(2pz)

2

0

0

-2

0

2

-2

0

b1g+ b2u

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