Chapter 11, Problem 11C.6E

Interpretation Introduction

Interpretation:

Wavenumber of the first overtone transition in nitric oxide has to be calculated using the given data.

Concept Introduction:

The equation for calculating the change in energy with the anharmonicity correction is given below:

  $\begin{array}{c}{\text{E}}_{\text{ν}}\text{=}\left(\text{ν+}\frac{\text{1}}{\text{2}}\right)\text{hc}\overline{\text{ν}}\text{- }{\left(\text{ν+}\frac{\text{1}}{\text{2}}\right)}^{\text{2}}{hc\overline{\text{ν}}x}_{\text{e}}\\ \\ {\text{E}}_{\text{ν}}\text{-}\text{Energy}\text{of}\text{the}\text{transition}\\ \text{ν}\text{-}\text{Vibrational}\text{quantum}\text{number}\\ \text{h}\text{-}\text{Plancks}\text{constant}\\ \text{c}\text{-}\text{Speed}\text{of}\text{the}\text{light}\\ \overline{\text{ν}}\text{-}\text{wave}\text{number}\\ {\text{x}}_{\text{e}}\text{-anharmonicity}\text{constant}\end{array}$