Chapter 7, Problem 7F.1P

(a)

Interpretation Introduction

Interpretation:

The energy and the angular momentum of the electron in the highest occupied level have to be calculated.

Concept introduction:

The energy of the particle that circulates in the ring is given by the expression.

    $E=\frac{J^2}{2I}$

Where,

• $J$ is the angular momentum.
• $I$ is the moment of inertia.

The magnitude of angular momentum for the 3-Dimensional system is given by,

  $\text{Magnitude}=\sqrt{l\left(l+1\right)}\hslash$

(b)

Interpretation Introduction

Interpretation:

The frequency of radiation that can induce a transition between the highest occupied level and the lowest unoccupied level have to be calculated.

Concept introduction:

The energy of the particle that circulates in the ring is given by the expression.

    $E=\frac{J^2}{2I}$

Where,

• $J$ is the angular momentum.
• $I$ is the moment of inertia.

The magnitude of angular momentum for the 3-Dimensional system is given by,

  $\text{Magnitude}=\sqrt{l\left(l+1\right)}\hslash$