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p and p Overlap

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Question

Find the number of non-bonding molecular orbital from the following if z is the internuclear axis :
$d_{z^{2}} + s, d_{x^{2} - y^{2}} + s, p_{z} + d_{x z}, s + d_{y z}$

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Solution

If z is the internuclear axis, then there are three non-bonding molecular orbitals $d_{x^{2} - y^{2}} + s, p_{z} + d_{x z}, s + d_{y z}$ .
On the other hand, the overlap $d_{z^{2}} + s$ gives bonding and antibonding molecular orbitals.

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