Chapter 11, Problem 11A.7E

(a)

Interpretation Introduction

Interpretation:

Lifetime of the state that give rise to a line having lifetime broadening of $\text{0}{\text{.10 cm}}^{-1}$ has to be calculated

Concept Introduction:

Wavenumber is the total number of wavelengths observed at a unit distance. Equation for wavenumber can be given as,

  $\begin{array}{c}\text{Wavenumber, }\overline{\text{ν}}\text{ =}\frac{\text{1}}{\text{λ}}\text{ = }\frac{\text{ν}}{\text{c}}\\ \\ \text{where, }\\ \text{λ}\text{=}\text{wavelength}\\ \text{ν}=\text{frequency}\\ \text{c = speed of light}\end{array}$

Lifetime broadening can be determined using the formula,

  $\begin{array}{l}\text{lifetime broadening}\\ \text{δν }\approx \frac{\text{1}}{\text{2πτ}}\\ \\ \text{where,}\\ \text{τ = lifetime of the state }\end{array}$

(b)

Interpretation Introduction

Interpretation:

Lifetime of the state that give rise to a line having lifetime broadening of $\text{1}{\text{.0 cm}}^{-1}$ has to be calculated

Concept Introduction:

Wavenumber is the total number of wavelengths observed at a unit distance. Equation for wavenumber can be given as,

  $\begin{array}{c}\text{Wavenumber, }\overline{\text{ν}}\text{ =}\frac{\text{1}}{\text{λ}}\text{ = }\frac{\text{ν}}{\text{c}}\\ \\ \text{where, }\\ \text{λ}\text{=}\text{wavelength}\\ \text{ν}=\text{frequency}\\ \text{c = speed of light}\end{array}$

Lifetime broadening can be determined using the formula,

  $\begin{array}{l}\text{lifetime broadening}\\ \text{δν }\approx \frac{\text{1}}{\text{2πτ}}\\ \\ \text{where,}\\ \text{τ = lifetime of the state }\end{array}$

(c)

Interpretation Introduction

Interpretation:

Lifetime of the state that give rise to a line having lifetime broadening of $\text{47 kHz}$ has to be calculated

Concept Introduction:

Lifetime broadening can be determined using the formula,

  $\begin{array}{l}\text{lifetime broadening}\\ \text{δν }\approx \frac{\text{1}}{\text{2πτ}}\\ \\ \text{where,}\\ \text{τ = lifetime of the state }\end{array}$