Chapter 14, Problem 14.16E

Interpretation Introduction

Interpretation:

The values of rotational constant, $B$ for ${\text{SF}}_{\text{6}}$ and ${\text{UF}}_{\text{6}}$ are to be calculated. The differences between their $B$ values, taking into account their atomic masses is to be commented.

Concept introduction:

In a molecule, the rotational energy level corresponds to the different probable ways in which the portion of a molecule rotates around the chemical bond that binds it to the rest of the molecule. Every rotational energy level possesses degeneracy.

The two-body system is represented as a one-body system by a reduced mass. It is expressed by a quantity $\mu$. The inertial mass of the moving body with respect to the body which is at rest is simplified to a reduced mass when there are only mutual interactions between the two bodies.

The spherical top refers to a symmetric rotor that has the same value for all moments of inertia. For spherical tops, $I_{\text{a}}=I_{\text{b}}=I_{\text{c}}$.