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The Spectra and Dynamics of Diatomic Molecules

Revised and Enlarged Edition

  • 1st Edition - April 1, 2004
  • Latest edition
  • Authors: Helene Lefebvre-Brion, Robert W. Field
  • Language: English

This book is written for graduate students just beginning research, for theorists curious about what experimentalists actually can and do measure, and for experimentalists be… Read more

Description

This book is written for graduate students just beginning research, for theorists curious about what experimentalists actually can and do measure, and for experimentalists bewildered by theory. It is a guide for potential users of spectroscopic data, and uses language and concepts that bridge the frequency-and time-domain spectroscopic communities.

Key topics, concepts, and techniques include: the assignment of simple spectra, basic experimental techniques, definition of Born-Oppenheimer and angular momentum basis sets and the associated spectroscopic energy level patterns (Hund's cases), construction of effective Hamiltonian matrices to represent both spectra and dynamics, terms neglected in the Born-Oppenheimer approximation (situations intermediate between Hund's cases, spectroscopic perturbations), nonlinear least squares fitting, calculation and interpretation of coupling terms, semi-classical (WKB) approximation, transition intensities and interference effects, direct photofragmentation (dissociation and ionization) and indirect photofragmentation (predissociation and autoionization) processes, visualization of intramolecular dynamics, quantum beats and wavepackets, treatment of decaying quasi-eigenstates using a complex Heff model, and concluding with some examples of polyatomic molecule dynamics.

Students will discover that there is a fascinating world of cause-and-effect localized dynamics concealed beyond the reduction of spectra to archival molecular constants and the exact ab initio computation of molecular properties. Professional spectroscopists, kinetics, ab initio theorists will appreciate the practical, simplified-model, and rigorous theoretical approaches discussed in this book.

Key features

  • A fundamental reference for all spectra of small, gas-phase molecules
  • It is the most up-to-date and comprehensive book on the electronic spectroscopy and dynamics of diatomic molecules
  • The authors pioneered the development of many of the experimental methods, concepts, models, and computational schemes described in this book

Readership

Physical chemists and chemical physicists in the area of molecular spectroscopy. Also, researchers in the applications areas of chemistry and materials science noted above

Table of contents

Chapter 1: Simple Spectra and Standard Experimental Techniques

  • 1.1 Rotation-Vibration-Electronic Spectra of Diatomic Molecules
  • 1.2 Experimental Techniques of Diatomic Molecule Spectroscopy

Chapter 2: Basic Models

  • 2.1 What Is a Perturbation?
  • 2.2 Structural Models
  • 2.3 Elementary Properties of Angular Momenta in Diatomic Molecules
  • 2.4 Estimation of Parameters in a Model Hamiltonian

Chapter 3: Terms Neglected in the Born-Oppenheimer Approximation

  • 3.1 The Born-Oppenheimer Approximation
  • 3.2 Basis Functions
  • 3.3 Electrostatic Perturbations
  • 3.4 Spin Part of the Hamiltonian
  • 3.5 Rotational Perturbations

Chapter 4: Methods of Deperturbation

  • 4.1 Variational Calculations
  • 4.2 The Van Vleck Transformation and Effective Hamiltonians
  • 4.3 Approximate Solutions
  • 4.4 Exact Solutions
  • 4.5 Typical Examples of Fitted Perturbations

Chapter 5: Interpretation of the Perturbation Matrix Elements

  • 5.1 Calculation of the Vibrational Factor
  • 5.2 Order of Magnitude of Electrostatic Perturbation Parameters: Interactions Between Valence and Rydberg States of the Same Symmetry
  • 5.3 Order of Magnitude of Spin Parameters
  • 5.4 Magnitudes of Rotational Perturbation Parameters
  • 5.5 Pure Precession Approximation
  • 5.6 R–Dependence of the Spin Interaction Parameters
  • 5.7 Beyond the Single-Configuration Approximation
  • 5.8 Identification and Location of Metastable States by Perturbation Effects

Chapter 6: Transition Intensities and Special Effects

  • 6.1 Intensity Factors
  • 6.2 Intensity Borrowing
  • 6.3 Interference Effects
  • 6.4 Forbidden Transitions; Intensity Borrowing by Mixing with a Remote Perturber
  • 6.5 Special Effects

Chapter 7: Photodissociation Dynamics

  • 7.1 Photofragmentation
  • 7.2 Direct Dissociation
  • 7.3 Introduction to Predissociation
  • 7.4 Experimental Aspects of Predissociation
  • 7.5 Theoretical Expressions for Widths and Level Shifts
  • 7.6 The Vibrational Factor
  • 7.7 Mulliken’s Classification of Predissociations
  • 7.8 The Electronic Interaction Strength
  • 7.9 Fano Lineshape
  • 7.10 Isotope Effects
  • 7.11 Examples of Predissociation
  • 7.12 Case of Intermediate Coupling Strength
  • 7.13 Indirect (Accidental) Predissociation and Interference Effects
  • 7.14 Some Recipes for Interpretation

Chapter 8: Photoionization Dynamics

  • 8.1 Direct Ionization
  • 8.2 Experimental Aspects of Autoionization
  • 8.3 The Nature of Autoionized States
  • 8.4 Autoionization Widths
  • 8.5 Rotational Autoionization
  • 8.6 Vibrational Autoionization
  • 8.7 Spin-Orbit Autoionization
  • 8.8 Electronic (or Electrostatic) Autoionization
  • 8.9 Validity of the Approximations
  • 8.10 Influence of Autoionization on ZEKE Peak Intensities
  • 8.11 Photoelectron Angular Distribution, Photoion Alignment, and Spin Polarization
  • 8.12 Competition between Autoionization and Predissociation
  • 8.13 Coherent Control of Photofragmentation Product Branching Ratios

Chapter 9: Dynamics

  • 9.1 Dynamical Concepts, Tools, and Terminology
  • 9.2 From Quantum Beats to Wavepackets
  • 9.3 Relaxation into a Quasi-Continuum: A Tool for Dimensionality Reduction
  • 9.4 Beyond the Spectra and Dynamics of Diatomic Molecules

Product details

  • Edition: 1
  • Latest edition
  • Published: April 28, 2004
  • Language: English

About the authors

HL

Helene Lefebvre-Brion

Affiliations and expertise
Laboratoire de Photophysique Moleculaire Universite Paris-Sud 91405 Orsay, France

RF

Robert W. Field

Affiliations and expertise
Department of Chemistry, Massachusetts Institute of Technology.

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