Q.

Which of the following molecular/atomic orbitals have gerade symmetry or center of symmetry?

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a

pz

b

σpx

c

π*py

d

dxy

answer is A, B, D.

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Detailed Solution

Orbitals with a center of symmetry have even (gerade) symmetry with respect to inversion, i.e. if the coordinates are inverted so that (x,y,z)→(−x,−y,−z), the orbital is coincident with itself exactly.Orbitals without such a thing have odd (ungerade) symmetry with respect to inversion.

  • s orbitals are gerade
  • p orbitals are ungerade orbitals are ungerade
  • d orbitals are gerade
  • f orbitals are ungerade
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  • d orbitals are gerade
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