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Quantum mechanics of the diatomic molecule with applications /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Parigger, Christian G. (Autor), Hornkoh, James O. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
Colección:IOP ebooks. 2020 collection.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.