Chapter 14, Problem 14.72E

Interpretation Introduction

Interpretation:

Two equations, $v=v_{\text{e}}-2x_{\text{e}}{v}_{\text{e}}$ and $v^{*}=\rho v_{\text{e}}-{\rho }^{2}2x_{\text{e}}{v}_{\text{e}}$, are to be derived from equation $E=h{v}_{\text{e}}\left(v+\frac{1}{2}\right)-h{v}_{\text{e}}{x}_{\text{e}}{\left(v+\frac{1}{2}\right)}^2$.

Concept introduction:

Spectroscopy method is used to identify the structure of the molecule. It is based on the interactions between matter and electromagnetic radiations. An electronic state of energy has its own vibrational states. The energy between the electronic states is large followed by vibrational states and then rotational states. During an electronic transition, electron from ground state moves straight to the excited state keeping the internuclear distance constant.