Quantum Mechanical Foundations of Molecular Spectroscopy

by Diem, Max

• ISBN13: 9783527347926
• ISBN10: 3527347925
• Edition: 1st
• Format: Paperback
• Copyright: 2021-07-19
• Publisher: Wiley-VCH

Summary

A concise textbook bridging quantum theory and spectroscopy!

Designed as a practical text, Quantum Mechanical Foundations of Molecular Spectroscopy covers the quantum mechanical fundamentals of molecular spectroscopy from the view of a professional spectroscopist, rather than a theoretician. Written by a noted expert on the topic, the book puts the emphasis on the relationship between spectroscopy and quantum mechanics, and provides the background information and derivations of the subjects needed to understand spectroscopy including: stationary energy states, transitions between these states, selection rules, and symmetry.

The phenomenal growth of all forms of spectroscopy over the past eight decades has contributed enormously to our understanding of molecular structure and properties. Today spectroscopy covers a broad field including the modern magnetic resonance techniques, non-linear, laser and fiber-based spectroscopy, surface and surface-enhanced spectroscopy, pico- and femtosecond time resolved spectroscopy, and many more. This up-to-date resource discusses several forms of spectroscopy that are used in many fields of science, such as fluorescence, surface spectroscopies, linear and non-linear Raman spectroscopy and spin spectroscopy. This important text:

• Contains the physics and mathematics needed to understand spectroscopy
• Explores spectroscopic methods the are widely used in chemistry, biophysics, biology, and materials science
• Offers a text written by an experienced lecturer and practitioner of spectroscopic methods
• Includes detailed explanations and worked examples

Written for chemistry, biochemistry, material sciences, and physics students, Quantum Mechanical Foundations of Molecular Spectroscopy provides an accessible text for understanding molecular spectroscopy.

Author Biography

Professor Max Diem is based in the Department of Physical and Biophysical Chemistry at Northeastern University. He did his first degree at the University of Karlsruhe and then his PhD at the University of Toledo in OH. Until 2005 he was at the Central University of New York before moving to Northeastern University. His research interests are is centered on the development of physical / optical methods for medical diagnosis in tissue diagnostics.

Table of Contents

Preface
Introduction

1 TRANSITION FROM CLASSICAL PHYSICS TO QUANTUM MECHANICS
1.1 Description of Light as a Wave
1.2 Black Body Radiation
1.3 Photoelectric Effect
1.4 H-Atom Absorption and Emission
1.5 Molecular Spectroscopy
1.6 Summary

2 PRINCIPLES OF QUANTUM MECHANICS
2.1 Postulates of Quantum Mechanics
2.2 Potential Energy and Potential Functions
2.3 Demonstration of Quantum Mechanical Principles for a Simple, One-Dimensional, One-Electron Model System: The Particle-in-a-Box ("PiB")
2.4 Two-Dimensional PiB, the Unbound Particle, and the PiB with Finite Energy Barriers
2.5 Real-World PiBs: Poly-Enes, Quantum Dots and Quantum Cascade Lasers

3 PERTURBATION OF STATIONARY STATES BY ELECTROMAGNETIC RADIATION
3.1 Time Dependent Perturbation Treatment of Stationary State Systems by EM Radiation
3.2 Dipole-Allowed Transition and Selection Rules for the PiB
3.3 Einstein Coefficients for the Absorption and Emission of Light
3.4 Lasers

4 THE HARMONIC OSCILLATOR, A MODEL SYSTEM FOR THE DIATOMIC MOLECULES
4.1 The Harmonic Oscillator Schr�dinger Equation, Energy Eigenvalues and Wave Functions
4.2 The Transition Moment for the Harmonic Oscillator
4.3 Real Diatomic Molecules, Anharmonicity
4.4 Infrared Absorption Spectroscopy of Diatomic Molecules

5 VIBRATIONAL INFRARED AND RAMAN SPECTROSCOPY OF POLYATOMIC MOLECULES
5.1 Vibrational Energy of Polyatomic Molecules
5.2 Transition Moments and Symmetry-Based Selection Rules in Absorption
5.3 Polarizability, Raman Scattering and Symmetry-Based Selection Rules in Scattering
5.4 Practical Infrared and Raman Spectroscopy

6 ROTATION OF RIGID MOLECULES: ROTATIONAL SPECTROSCOPY
6.1 Classical Rotational Energy
6.2 Quantum Mechanics of Rotational Spectroscopy, Selection Rules
6.3 Rot-Vibrational Transitions

7 H ATOM AND MANY-ELECTRON ATOMS
7.1 Eigenfunctions, Eigenvalues and Orbitals for the Hydrogen Atom
7.2 Many Electron Atoms, Slater Orbitals, and the Periodic Chart
7.3 Atomic Spectra

8 ELECTRONIC STATES AND SPECTROSCOPY OF POLYATOMIC MOLECULES
8.1 Electronic Energy Levels of Polyatomic Molecules
8.2 Ultraviolet and Visible Spectroscopy of Polyatomic Molecules

9 INTERACTION OF ELECTRONIC AND VIBRATIONAL ENERGY LEVELS
9.1 Introduction to Vibronic Theory
9.2 Fluorescence Spectroscopy
9.3 Recent Advances and Biological Applications of Fluorescence Spectroscopy

10 SPIN STATES AND SPIN SPECTROSCOPY
10.1 The Angular Momentum Operator Revisited, and Spin States
10.2 Transitions Between Spin States
10.3 Basic Nuclear Magnetic Resonance Spectroscopy

Appendix I. Constants and Their Numerical Values
Appendix II. Mathematical Principles
Appendix III. Perturbation Methods
Appendix IV. Group Theory
Appendix V. Fourier Transforms and Fourier Transform Spectroscopies