Introduction to photoelectron angular distributions : theory and applications / V.T. Davis.

Format:

Book

Author/Creator:

Davis, V. T.

Series:

Springer tracts in modern physics ; 286.

Springer tracts in modern physics ; v. 286

Language:

English

Subjects (All):

Angular distribution (Nuclear physics).

Physical Description:

1 online resource (338 p.).

Place of Publication:

Cham : Springer, 2023.

Summary:

This book provides a comprehensive introduction to photoelectron angular distributions and their use in the laboratory to study light-matter interactions. Photoelectron angular distribution measurements are useful because they can shed light on atomic and molecular electronic configurations and system dynamics, as well as provide information about quantum transition amplitudes and relative phases that are not obtainable from other types of measurements. For example, recent measurements of molecular-frame photoelectron angular distributions have been used to extract photoelectron emission delays in the attosecond range which can provide ultra-sensitive maps of molecular potentials. Additionally, photoelectron angular distribution measurements are an essential tool for studying negative ions. Here, the author presents a detailed, yet easily accessible, theoretical background necessary for experimentalists performing photoelectron angular distribution measurements to better understand their results. The various physical influences on photoelectron angular distributions are revealed through analytical models with the use of angular momentum coupling algebra and spherical tensor operators. The classical and quantum treatments of photoelectron angular distributions are covered clearly and systematically, and the book includes, as well, a chapter on relativistic interactions. Furthermore, the primary methods used to measure photoelectron angular distributions in the laboratory, such as photodetachment electron spectroscopy, velocity-map imaging, and cold target recoil ion momentum spectroscopy, are described. This book features introductory material as well as new insights on the topic, such as the use of angular momentum transfer theory to understand the process of photoelectron detachment in atoms and molecules. Including key derivations, worked examples, and additional exercises for readers to try on their own, this book serves as both a critical guide for young researchers entering the field and as a useful reference for experienced practitioners.

Contents:

Intro

Acknowledgments

Contents

Chapter 1: Introduction

Chapter 2: Angular Momentum in Quantum Mechanics

2.1 Commutation Relations of Angular Momentum Operators

2.2 Construction of Eigenstates and the Spectrum of Eigenvalues

2.3 Matrix Elements of Angular Momentum Operators

2.4 Orbital Angular Momentum and the Spherical Harmonics

2.5 The Addition Theorem for Spherical Harmonics

2.6 Rotations in Quantum Mechanics

2.7 Matrix Elements of the Rotation Operators

2.8 The Coupling of Two Angular Momenta

2.9 The Clebsch-Gordan Coefficients

2.10 The Clebsch-Gordan Series

2.11 The Coupling of Three Angular Momenta

2.12 Spherical Tensor Operators and the Wigner-Eckart Theorem

Chapter 3: Classical Model of Photoelectron Angular Distributions

Chapter 4: Quantum Treatment of Photoelectron Angular Distributions (Dipole Approximation)

Chapter 5: Higher-Order Multipole Terms in Photoelectron Angular Distributions

Chapter 6: Relativistic Theory of Photoelectron Angular Distributions

Chapter 7: Angular Momentum Transfer Theory

Chapter 8: Molecular Photoelectron Angular Distributions

Chapter 9: Measuring Photoelectron Angular Distributions in the Laboratory

Chapter 10: Applications of Photoelectron Angular Distribution Measurements

Appendixes

Appendix A: Proof of Equation (2.68) and Evaluation of the Integral

Appendix B: The Racah Formula for the Clebsch-Gordan Coefficients

Clebsch-Gordan Coefficient Recursion Relation

The Racah Formula for the Clebsch-Gordon Coefficients

Appendix C: The 6-j Symbols and the Racah Formula (2.172)

Appendix D: The 9-j Symbols

Appendix E: Hamiltonian for the Interaction of an Electron with an Electromagnetic Field

Appendix F: Integral Representation of the Spherical Bessel Functions and the Expansion of Plane Waves in Terms of Spherical F...

Integral Representation of the Spherical Bessel Functions

Expansion of Plane Waves in Terms of Spherical Functions

Appendix G: Basic Theory of the Design of the COLTRIMS Reaction Microscope

Recoil Ion Detection

Geometric Analysis

Electron Detection

Bibliography

Notes:

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed December 8, 2022).

Other Format:

Print version: Davis, V. T. Introduction to Photoelectron Angular Distributions

ISBN:

9783031080272

3031080270

OCLC:

1352968236

Access Restriction:

Restricted for use by site license.