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.

$\stackrel{⌢}{\mathrm{H}}\Psi =\text{E}\Psi$

Where,

• $\stackrel{⌢}{\mathrm{H}}$is the Hamiltonian operator.

• $\Psi$is the wavefunction.

• $\text{E}$is the energy.

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