Quantum mechanics of the diatomic molecule with applications / Christian G. Parigger and James O. Hornkoh.

Parigger, Christian G., author.
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
IOP ebooks. 2020 collection.
IOP ebooks. [2020 collection]
1 online resource (various pagings) : illustrations (some color).
Quantum theory.
Diatomic molecules.
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Mode of access: World Wide Web.
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Dr. Christian Parigger has been an Associate Professor of Physics and Astronomy at the University of Tennessee since 1996. 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. The research contributions of James Hornkohl encompass spectroscopy of diatomic molecules and its applicarion 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.
Diatomic molecules consist of only two atoms. 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.
part I. Fundamentals of the diatomic molecule. 1. Primer on diatomic spectroscopy
1.1. Overview
1.2. Reversed angular momentum
1.3. Exact diatomic eigenfunction
1.4. Computation of diatomic spectra
2. Line strength computations
2.1. Introduction
2.2. Idealized computation of spectra
3. Framework of the Wigner-Witmer eigenfunction (WWE)
4. Derivation of the Wigner-Witmer eigenfunction
4.1. Outline of the derivation
4.2. Time translation symmetry
4.3. Spatial translation symmetry
4.4. Two-body symmetry
4.5. Time and spatial translations together
4.6. Rotational symmetry
5. Diatomic formula inferred from the Wigner-Witmer eigenfunction
6. Hund's cases (a) and (b)
6.1. Introduction
6.2. Case (b) basis functions
6.3. Case (a) eigenfunctions
7. Basis set for the diatomic molecule
8. Quantum theory of angular momentum
8.1. Introduction
8.2. The standard [pipe]JM> angular momentum representation
8.3. Rotations
8.4. Generators of coordinate transformations
9. Diatomic parity
9.1. Parity details
9.2. Parity designation
9.3. The parity operator
9.4. Parity and angular momentum
9.5. Diatomic parity
9.6. [Lambda] doublets
10. The Condon and Shortley line strength
11. Hönl-London line-strength factors in Hund's cases (a) and (b)
11.1. Case (a) basis functions
11.2. Case (b) basis functions
11.3. Mathematical properties of case (a) and case (b) basis functions
11.4. Diatomic parity operator
11.5. Hönl-London line-strength factors
11.6. Triple integral of three rotation matrix elements
11.7. Calculation of the Hönl-London line-strength factors for cases (a) and (b)
11.8. Hund's case (b) Hönl-London line-strength factors
11.9. The electronic-vibrational strength
12. Using the Morse potential in diatomic spectroscopy
12.1. Introduction
12.2. Morse eigenfunctions
12.3. Morse eigenfunctions as a vibrational basis
part II. Selected applications of diatomic spectroscopy. 13. Introduction to applications of diatomic spectroscopy
14. Experimental arrangement for laser-plasma diagnosis
15. Cyanide, CN
15.1. Analysis of CO2 laser-plasma
15.2. Analysis of CN in Nd:YAG laser-plasma
15.3. Spatially and temporally resolved CN spectra
16. Diatomic carbon, C₂
16.1. Analysis of C₂ in Nd:YAG laser-plasma
16.2. Detailed fitting of C₂ spectra
16.3. Superposition spectra of hydrogen and carbon
17. Aluminium monoxide, AlO
17.1. Laser-induced breakdown spectroscopy
17.2. Experimental details for AlO measurements
17.3. Selected results
18. Hydroxyl, OH
19. Titanium monoxide, TiO
19.1. Introduction
19.2. Experiment
19.3. Results
20. Nitric oxide, NO
20.1. Experimental details
20.2. Results
20.3. Comparison with overview spectra
part III. Appendices. A. Review of angular momentum commutators
B. Effects of raising and lowering operators
C. Modified Boltzmann plots
D. Aspects of nitric oxide computations
E. Parity in diatomic molecules
F. Rotational line strengths for the CN BX (5,4) band
G. Intrinsic parity of the diatomic molecule
H. Review of diatomic laser-induced breakdown spectroscopy
I. Program MorseFCF.for.
"Version: 20191101"--Title page verso.
Includes bibliographical references.
Title from PDF title page (viewed on December 9, 2019).
Hornkoh, James O., author.
Institute of Physics (Great Britain), publisher.
Other format:
Print version:
Publisher Number:
10.1088/978-0-7503-1989-8 doi
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Restricted for use by site license.
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