Question

please help with b-d

T16.2 6). Ethylene has D point group symetry and label major symmetry i coming of the plane of the molecule. ts using the structure below. Let the z-axis be 40 E identity HH Co-rotalon - S on on smer Umron HH i insan b) sketh sinual basis set of orbitals on the skeleton structures below. IS (A,B,C,D) HH (= = HH HH HH HH H is . ) =Ć cccc cd as(1,2) HH HH HH HH H Pave (1,2) HH c) Use the appropriate projection operator acting on the raw basis functions above to find all symmetry-adapted basis functions belonging to the B, irreducible representation, d) Use the appropriate projection operator acting on the raw basis functions above to find all symmetry-adapted basis functions belonging to the Birreducible representation DE COCO ations () Y +1 +1 +1 +1+1 = -1 -1- 1 -1 = LE == = point group e) Find how each of the following MOs transform within the

Answer 1

b) Three SP² hybrid orbitals of each carbon atom involves in the formation of (C-H) sigma bonding with 1S orbital of two hydrogen atoms. The third SP² hybrid orbitals is used to make carbon-carbon sigma bond. The P_Z orbital of both Carbon atom overlaps sideways and forms Pi bonding.

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c) The following are the all symmetry adaptable basis functions belonging to B_2u irreducible representation.

E, rotational symmetry C₂ (Y), reflection about xy and yz plane (sigma XY and sigma YZ)

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d) The following are the all symmetry adaptable basis functions belonging to B_1g irreducible representation.

E, rotational symmetry C₂ (Z), Inversion symmetry, reflection about xy plane (sigma XY)