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Table of Contents
Intro
Preface
Reference
Acknowledgments
Author biographies
Christian G Parigger
James O Hornkohl
Chapter 1 Primer on diatomic spectroscopy
1.1 Overview
1.2 Reversed angular momentum
1.3 Exact diatomic eigenfunction
1.4 Computation of diatomic spectra
References
Chapter 2 Line strength computations
2.1 Introduction
2.2 Idealized computation of spectra
References
Chapter 3 Framework of the Wigner-Witmer eigenfunction (WWE)
References
Chapter 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
References
Chapter 5 Diatomic formula inferred from the Wigner-Witmer eigenfunction
References
Chapter 6 Hund's cases (a) and (b)
6.1 Introduction
6.2 Case (b) basis functions
6.3 Case (a) eigenfunctions
References
Chapter 7 Basis set for the diatomic molecule
References
Chapter 8 Quantum theory of angular momentum
8.1 Introduction
8.2 The standard ∣JM〉 angular momentum representation
8.3 Rotations
8.4 Generators of coordinate transformations
References
Chapter 9 Diatomic parity
9.1 Parity details
9.1.1 Parity is rotationally invariant
9.1.2 Spin is immune to the parity operator
9.1.3 Parity operates on Cartesian coordinates, not angles
9.1.4 Intrinsic parity and Λ doublets
9.1.5 Summary of parity details
9.2 Parity designation
9.3 The parity operator
9.4 Parity and angular momentum
9.5 Diatomic parity
9.6 Λ doublets
References
Chapter 10 The Condon and Shortley line strength
Reference
Chapter 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
Reference
Chapter 12 Using the Morse potential in diatomic spectroscopy
12.1 Introduction
12.2 Morse eigenfunctions
12.2.1 Computation of Morse eigenfunctions
12.3 Morse eigenfunctions as a vibrational basis
References
Chapter 13 Introduction to applications of diatomic spectroscopy
References
Chapter 14 Experimental arrangement for laser-plasma diagnosis
References
Chapter 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
15.3.1 Laser-beam focusing
15.3.2 Shadowgraphs
15.3.3 Raw CN spectra
15.3.4 Abel-inverted CN spectra
References
Chapter 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
References
Chapter 17 Aluminium monoxide, AlO
17.1 Laser-induced breakdown spectroscopy
17.2 Experimental details for AlO measurements
17.3 Selected results
References
Chapter 18 Hydroxyl, OH
References
Chapter 19 Titanium monoxide, TiO
19.1 Introduction
19.2 Experiment
19.3 Results
References
Chapter 20 Nitric oxide, NO
20.1 Experimental details
20.2 Results
20.3 Comparison with overview spectra
References
Chapter
References
Chapter
B.1 Angular momentum operators.
B.2 Angular momentum commutators and rotation matrix elements
References
Chapter
C.1 Boltzmann plots
C.2 Modified Boltzmann plot
References
Chapter
D.1 Matrix elements of the Hamiltonian
References
Chapter
E.1 Introduction
E.2 Parity operator
E.3 Rotation operator and Wigner D-function
E.4 Parity of diatomic states
E.5 Parity in an algorithm for computing diatomic spectra
References
Chapter
F.1 Introduction
F.2 CN (5,4) band spectra
F.3 Wigner-Witmer diatomic eigenfunction
F.4 Hund's basis functions
F.5 The upper Hamiltonian matrix for the (5,4) band
F.6 A diatomic line position fitting algorithm
F.7 Discussion
F.8 Conclusion
References
Chapter
References
Chapter
H.1 Introduction
H.2 Computation of a diatomic spectrum
H.3 Determination of the molecular parameters
H.4 Discussion
References
Chapter
I.1 MorseFCF.for
I.2 MorseSubs.for
Reference.
Preface
Reference
Acknowledgments
Author biographies
Christian G Parigger
James O Hornkohl
Chapter 1 Primer on diatomic spectroscopy
1.1 Overview
1.2 Reversed angular momentum
1.3 Exact diatomic eigenfunction
1.4 Computation of diatomic spectra
References
Chapter 2 Line strength computations
2.1 Introduction
2.2 Idealized computation of spectra
References
Chapter 3 Framework of the Wigner-Witmer eigenfunction (WWE)
References
Chapter 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
References
Chapter 5 Diatomic formula inferred from the Wigner-Witmer eigenfunction
References
Chapter 6 Hund's cases (a) and (b)
6.1 Introduction
6.2 Case (b) basis functions
6.3 Case (a) eigenfunctions
References
Chapter 7 Basis set for the diatomic molecule
References
Chapter 8 Quantum theory of angular momentum
8.1 Introduction
8.2 The standard ∣JM〉 angular momentum representation
8.3 Rotations
8.4 Generators of coordinate transformations
References
Chapter 9 Diatomic parity
9.1 Parity details
9.1.1 Parity is rotationally invariant
9.1.2 Spin is immune to the parity operator
9.1.3 Parity operates on Cartesian coordinates, not angles
9.1.4 Intrinsic parity and Λ doublets
9.1.5 Summary of parity details
9.2 Parity designation
9.3 The parity operator
9.4 Parity and angular momentum
9.5 Diatomic parity
9.6 Λ doublets
References
Chapter 10 The Condon and Shortley line strength
Reference
Chapter 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
Reference
Chapter 12 Using the Morse potential in diatomic spectroscopy
12.1 Introduction
12.2 Morse eigenfunctions
12.2.1 Computation of Morse eigenfunctions
12.3 Morse eigenfunctions as a vibrational basis
References
Chapter 13 Introduction to applications of diatomic spectroscopy
References
Chapter 14 Experimental arrangement for laser-plasma diagnosis
References
Chapter 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
15.3.1 Laser-beam focusing
15.3.2 Shadowgraphs
15.3.3 Raw CN spectra
15.3.4 Abel-inverted CN spectra
References
Chapter 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
References
Chapter 17 Aluminium monoxide, AlO
17.1 Laser-induced breakdown spectroscopy
17.2 Experimental details for AlO measurements
17.3 Selected results
References
Chapter 18 Hydroxyl, OH
References
Chapter 19 Titanium monoxide, TiO
19.1 Introduction
19.2 Experiment
19.3 Results
References
Chapter 20 Nitric oxide, NO
20.1 Experimental details
20.2 Results
20.3 Comparison with overview spectra
References
Chapter
References
Chapter
B.1 Angular momentum operators.
B.2 Angular momentum commutators and rotation matrix elements
References
Chapter
C.1 Boltzmann plots
C.2 Modified Boltzmann plot
References
Chapter
D.1 Matrix elements of the Hamiltonian
References
Chapter
E.1 Introduction
E.2 Parity operator
E.3 Rotation operator and Wigner D-function
E.4 Parity of diatomic states
E.5 Parity in an algorithm for computing diatomic spectra
References
Chapter
F.1 Introduction
F.2 CN (5,4) band spectra
F.3 Wigner-Witmer diatomic eigenfunction
F.4 Hund's basis functions
F.5 The upper Hamiltonian matrix for the (5,4) band
F.6 A diatomic line position fitting algorithm
F.7 Discussion
F.8 Conclusion
References
Chapter
References
Chapter
H.1 Introduction
H.2 Computation of a diatomic spectrum
H.3 Determination of the molecular parameters
H.4 Discussion
References
Chapter
I.1 MorseFCF.for
I.2 MorseSubs.for
Reference.