Question

Thank you

Answer 1

Yes , the image is an accurate representation of $\omega$₄ (LUMO) of 1,3-pentadienyl anion.

The anion has 6 electrons in π -conjugated system. Four electrons are filled in π₁ and π₂ bonding molecular orbitals , two electrons are filled in π₃ (non bonding molecular orbital )

π₄^* is lowest unoccupied molecular orbital , hence LUMO.

As the number of nodes increases in a molecular orbital it's energy increases. See the picture.

5 3 2 Maua