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Question: Which of the following overlaps gives σ− bond along x-axis as internuclear axis? A.\(\mathop P\no...

Which of the following overlaps gives σ− bond along x-axis as internuclear axis?
A.PZ\mathop P\nolimits_Z and PZ\mathop P\nolimits_Z
B.S and PZ\mathop P\nolimits_Z
C.S and PY\mathop P\nolimits_Y
D.dx2y2d\mathop x\nolimits_2 - \mathop y\nolimits_2 and dx2y2d\mathop x\nolimits_2 - \mathop y\nolimits_2

Explanation

Solution

The sigma bond is formed by the end to end (head -on) overlap of bonding orbitals along the internuclear axis. This is called head on overlap or axial overlap. This can be formed by s-s overlapping that is when overlap of two half filled s-orbitals along the internuclear axis. It can also be formed between s-p orbital and also between p-p orbital but the overlapping should occur headways.

Complete step by step answer:
A.PZ\mathop P\nolimits_Z and PZ\mathop P\nolimits_Z :- When we take x axis as internuclear axis these two orbitals can’t do sideways overlapping because these two lie in z axis. Thus they both do head on overlapping so form sigma bonds . Thus this option is correct.
B. S and PZ\mathop P\nolimits_Z :- As we take x axis as internuclear axis s can exist in any of the axis so do not form a bond in x direction. Hence this option is not correct.
C.S and PY\mathop P\nolimits_Y :- s can again lie in any axis and not only in y. Thus it can not give sigma bonds only in x direction . So this option is also not correct.
D.dx2y2d\mathop x\nolimits_2 - \mathop y\nolimits_2 and dx2y2d\mathop x\nolimits_2 - \mathop y\nolimits_2 :- This option is not correct as d orbitals do not take part in sigma bond formation.
Our required answer is A that is PZ\mathop P\nolimits_Z and PZ\mathop P\nolimits_Z .

Note:
Pi-bond is formed due to sideways overlapping of the orbital. When both orbital belongs to the same axis as PZ\mathop P\nolimits_Z PZ\mathop P\nolimits_Z they give a bond in the direction of the internuclear axis. But when both the orbitals do not belong to the same axis they do not give bond in the internuclear axis.