Introduction to Photoelectron Angular Distributions: Theory and Applications

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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.

Author(s): V. T. Davis
Series: Springer Tracts in Modern Physics, 286
Publisher: Springer
Year: 2022

Language: English
Pages: 337
City: Cham

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