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Q.

In an octahedral crystal field, the correct set of low-energy orbitals are
 

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a

 dxy, dxz, dz2 

b

dxy, dxz, dyz

c

 dx2-y2, dz2
 

d

 dxy, dx2-y2

answer is C.

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Detailed Solution

Considering a molecule with octahedral geometry, along the x, y, and z axes, ligands approach the metal ion.

Orbitals that are located along these axes i.e.  dx2-y2, dz2are more repellent. These orbitals demand more energy to maintain an electron in them than one of the other orbitals would. The energy levels of the d-orbitals separate as a result. This is "crystal field splitting". 

Hence the correct answer is  dxy, dxz, dyz

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In an octahedral crystal field, the correct set of low-energy orbitals are