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Quantum Mechanics of the Diatomic Molecule (Second Edition)

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04 October 2024

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:
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Discusses diatomic spectroscopy
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Includes quantum mechanics derivations and computation and diatomic spectra
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Examples of theory and experiment comparisons
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Provides numerical algorithms for computation
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Presents workable references for diagnostics with particular transitions of interest for selected diatomic molecules

SCIENCE / Physics / Optics & Light, Optical physics, SCIENCE / Physics / Quantum Theory, SCIENCE / Spectroscopy & Spectrum Analysis, Quantum physics (quantum mechanics and quantum field theory), Electrical engineering

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