The energy of a true polyene, considering it as a particle-in-a-box, is to be stated. Concept introduction: The Schrödinger equation is used to find the allowed energy levels for electronic transitions in the quantum mechanics . It is generally expressed as follows. H ⌢ Ψ = E Ψ Where, • H ⌢ is the Hamiltonian operator. • Ψ is the wavefunction. • E is the energy. The energy obtained after applying the operator on wavefunction is known as the eigen value for the wavefunction.

Question

J.G. Dojahn et al. (J. Phys. Chem. 100, 9649 (1996)) characterized the potential energy curves of the ground and electronic states of homonuclear diatomic halogen anions. These anions have a 2Σu+ ground state and 2Πg, 2Πu, and 2Σg+ excited states. To which of the excited states are electric-dipole transitions allowed from the ground state? Explain your conclusion.

Answer 1

Question

Chapter 12, Problem 12.39E

Interpretation Introduction

Interpretation:

The energy of a true polyene, considering it as a particle-in-a-box, is to be stated.

Concept introduction:

The Schrödinger equation is used to find the allowed energy levels for electronic transitions in the quantum mechanics. It is generally expressed as follows.

H⌢Ψ=EΨ

Where,

• H⌢is the Hamiltonian operator.

• Ψis the wavefunction.

• Eis the energy.

The energy obtained after applying the operator on wavefunction is known as the eigen value for the wavefunction.

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