Chapter 11, Problem 11C.1ST

Interpretation Introduction

Interpretation:

Force constant of the bond in ${}^{35}C{l}_2$ has to be determined where its vibrational constant is $16.94THz$.

Concept Introduction:

Vibrational frequency of a molecule can be determined using the given formula.

  $\begin{array}{c}Vibrationalfrequency,\nu \text{ = }\frac{1}{2\pi }{\left(\frac{k_f}{\mu }\right)}^{\text{1/2}}\\ \\ \text{where,}\\ \text{μ = Effective mass}\\ {\text{k}}_{\text{f}}\text{= Vibrational frequency}\end{array}$

Effective mass of a diatomic molecule is given by,

  $\mu =\frac{m_A{m}_B}{\left(m_A+m_B\right)}$