(a) Interpretation: The two expressions for Doppler broadening and Doppler half-width needs to be shown equivalent to each other. Concept introduction: The equation for the half-width for Doppler broadening Δλ 0 of an atomic line can be used to study line broadening in a low − pressure laser-induced plasma.

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

Solutions

Chapter 8, Problem 8.12QAP
Interpretation Introduction

(a)Interpretation:The two expressions for Doppler broadening and Doppler half-width needs to be shown equivalent to each other.Concept introduction:The equation for the half-width for Doppler broadening Δλ0 of an atomic line can be used to study line broadening in a low − pressure laser-induced plasma.

Interpretation Introduction

(b)Interpretation:The half-width for Doppler broadening needs to be determined for 4s to 4p transition for nickel atom.Concept introduction:Doppler bordering is happened due to the Doppler effect caused by a distribution of velocities of atomic molecules.

Interpretation Introduction

(c)Interpretation:The natural line width for the above transition needs to be determined, assuming that the lifetime of the excited state is 5×10−8 s.Concept introduction:Natural line width is associated with the decay time (Natural life-time) and it is a minimum line width that does not contain effects such as collisional and Doppler broadening.

Interpretation Introduction

(d)Interpretation:To show that the relativistic expression is consistent with the mentioned equation given for the low atomic speeds.Concept introduction:When compared with the speed of light, atomic speed is very low.

Interpretation Introduction

(e)Interpretation:The speed of an iron atom the 4s to 4p transition at 385.9911 nm should be determined.Concept introduction:The rest wavelength of Nickel is 410 nm. The formula used is:Δλλ=1(C−V)C+V−1

Interpretation Introduction

(f)Interpretation:The fraction of a sample of iron atoms at 10,000 K that would have the velocity calculated in part e should be computed.Concept introduction:Natural line width is associated with the decay time. It is a minimum line width that does not contain effects such as collisional and Doppler broadening.

Interpretation Introduction

(g)Interpretation:A spreadsheet should be created to calculate the Doppler half-width ΔλD in nanometers for the nickel and iron lines cited in part b and e from 30000-10,000 K.Concept introduction:Doppler bordering is happened due to the Doppler effect caused by a distribution of velocities of atomic molecules.

Interpretation Introduction

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