3. Consider a transition between the ground state (Ψ₀) and the i'th excited state. Time dependent perturbation theory can be used to show that the intensity of the absorption is proportional to the square of the "transition moment",. The x, y and z components of the transition moment are: .

In the case of Carbene, it has C₂v symmetry has 8 electrons and the Triplet Ground state takes the electronic configuration (a₁)²(a₁)²(b₂)²(a₁)¹(a₁)¹ as shown in the following diagram where the shape of the molecular orbital are also included

Please determine if the electronic transition (only the highest two unpaired
electrons are shown and the paired inner orbitals are neglected) is UV allowed
or forbidden.

For your information, the character table for C2V symmetry is: