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Question: Which of the following overlapping is not possible if z is internuclear axis :-...

Which of the following overlapping is not possible if z is internuclear axis :-

A

(s+pxs + p_x)

B

pz+dyzp_z + d_{yz}

C

s+dx2y2s + d_{x^2-y^2}

D

pz+pzp_z + p_z

Answer

(A), (B), (C)

Explanation

Solution

Overlap is possible only if orbitals have compatible symmetry with respect to the internuclear axis. For z as internuclear axis:

  • (A) s + p_x: s is symmetric, p_x is antisymmetric w.r.t. yz-plane (containing z-axis). Overlap is zero. Not possible.

  • (B) p_z + d_yz: p_z is symmetric, d_yz is antisymmetric w.r.t. xz-plane (containing z-axis). Overlap is zero. Not possible.

  • (C) s + d_x^2-y^2: s is symmetric, d_x^2-y^2 has lobes in xy-plane. Overlap is zero due to cancellation of positive and negative overlaps. Not possible.

  • (D) p_z + p_z: Forms a sigma bond. Possible.