Question

Find the sum of nodal plane of ${\delta }_{d_{xy}-d_{xy}}$ molecular orbital and ${\delta }_{d_{xy}-d_{xy}}^{\ast }$ anti-bonding molecular orbital.

Answer 1

${\delta }_{d_{xy}-d_{xy}}$ molecular orbital contains 2 nodal planes whereas ${\delta }_{d_{xy}-d_{xy}}^{\ast }$ antibonding molecular orbital contains 3 nodal planes.
The sum of nodal planes of ${\delta }_{d_{xy}-d_{xy}}$ molecular orbital and ${\delta }_{d_{xy}-d_{xy}}^{\ast }$ anti-bonding molecular orbital is $2+3=5$.