Find the number of nonbonding molecular orbital(s) from the following (If x is inter nuclear axis) :
$s + p_{y}, p_{y} + p_{y}, p_{x} + p x, d_{x y} + s, d x y + p_{x}, p_{y} + p_{x}$

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Solution

The combinations $p_{y} + p_{y}$ and $p_{x} + p x$ will form the bonding molecular orbitals.
The combinations $s + p_{y}, d_{x y} + s, d x y + p_{x}, p_{y} + p_{x}$ will form the non bonding molecular orbitals.
Thus, the number of non bonding molecular orbitals is 4.

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