Quantum Mechanics of the Diatomic Molecule (Second Edition): (IOP Series in Coherent Sources, Quantum Fundamentals, and Applications)

In this book, the authors describe how quantum mechanics can be used to predict diatomic molecule spectra in a gaseous state by discussing the calculation of their spectral line intensities. The book provides a comprehensive overview on diatomic molecule fundamentals before emphasising the applications of spectroscopy predictions in analysis of experimental data. With over 30 years of experience in measurements and quantitative analysis of recorded data, the authors communicate valuable references to any academic engaged in the field of spectroscopy and the book serves as a comprehensive guide to anyone with a genuine interest in the subject. This new edition includes ten new chapters and three new appendices including Abel Inversion of recorded data, measurement of shadowgraphs, and application of line strength data for analysis of light from excited 2-atom molecules. Key Features: Discusses diatomic spectroscopy Includes quantum mechanics derivations and computation and diatomic spectra Examples of theory and experiment comparisons Provides numerical algorithms for computation Presents workable references for diagnostics with particular transitions of interest for selected diatomic molecules

Table of Contents:
Preface Acknowledgements Author biographies Part I: Fundamentals of the diatomic molecule 1 Primer on diatomic spectroscopy 2 Formal quantum mechanics of diatomic molecular spectroscopy 3 Line strength computations 4 Framework of the Wigner-Witmer eigenfunction 5 Derivation of the Wigner-Witnmer eigenfunction 6 Diatomic formula inferred from the Wigner-Witmer eigenfunction 7 Hund's cases (a) and (b) 8 Basis set for the diatomic molecule 9 Angular momentum states of diatomic molecules 10 Diatomic parity 11 The condon and Shortley line strength 12 Hönl–London line-strength factors in Hund's Cases (a) and (b) 13 Using the Morse potential in diatomic spectroscopy Part II 14 Introduction to applications of diatomic spectroscopy 15 Computation of selected diatomic spectra 16 Experimental arrangement for laser-plasma diagnosis 17 Methylidyne, CH, cavity ring-down spectrsocopy in a microwave plasma discharge 18 Cyanide, CN 19 Cyanide molecular laser-induced breakdown spectroscopy with current databases 20 Diatomic carbon, C2 21 Laser plasma carbon Swan bands fitting with current databases 22 Aluminium monoxide, A1O 23 A10 laser-plasma emission spectra analysis with current databases 24 Hydroxyl, OH 25 Hydroxyl laser-plasma emission spectra analysis with current databases 26 OH laser-induced breakdown spectroscopy and shadowgraphy 27 Titanium Monoxide, TiO 28 Nitric Oxide, NO 29 Radial electron density measurements in laser plasma from Abel-inverted hydrogen Balmer beta line profiles 30 Hypersonic imaging and emission spectroscopy of hydrogen and cyanide following laser-induced optical breakdown Part III Appendix A: Review of angular momentum commutators Appendix B: Effects of raising and lowering operators Appendix C: Modified Boltzmann plots Appendix D: Aspects of nitric oxide computations Appendix E: Parity in diamotic molecules Appendix F: Rotational line strengths for the CN BX (5,4) band Appendix G: Intrinsic parity of diatomic molecule Appendix H: Review of diatomic laser-induced breakdown spectroscopy Appendix I: Program MorseFCF.for Appendix J: Boltzmann equilibrium spectrum (BESP) and Nelder-Mead temperature (NMT) scripts Appendix K: Abel-inversion scripts Appendix L: LIBS: 2018 to 2023 publications that include C.G.P

About the Author :
Christian Parigger has been an Associate Professor of Physics and Astronomy at the University of Tennessee from 1996 to 2023. His research interests include fundamental and applied spectroscopy, nonlinear optics, quantum optics, ultrafast phenomena, ultrasensitive diagnostics, lasers, combustion and plasma physics, optical diagnostics, biomedical applications, and in general, atomic and molecular and optical (AMO) Physics. His work encompasses experimental, theoretical and computational research together with teaching, service, and outreach at the Center for Laser Applications (CLA) at The University of Tennessee Space Institute, USA. James Hornkohl has made research contributions encompassing spectroscopy of diatomic molecules and its application to diagnosis of combustion, plasmas, rocket propulsion and related problems. The extensive collaboration of the two authors during more than 30 years at the CLA has been most stimulating and encouraging.