Quantum Mechanics of the Diatomic Molecule with Applications

PRELIMS.pdf
	Preface
		Reference
	Acknowledgments
	Author biographies
		Christian G Parigger
		James O Hornkohl
CH001.pdf
	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
CH002.pdf
	Chapter 2 Line strength computations
		2.1 Introduction
		2.2 Idealized computation of spectra
		References
CH003.pdf
	Chapter 3 Framework of the Wigner–Witmer eigenfunction (WWE)
		References
CH004.pdf
	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
CH005.pdf
	Chapter 5 Diatomic formula inferred from the Wigner–Witmer eigenfunction
		References
CH006.pdf
	Chapter 6 Hund’s cases (a) and (b)
		6.1 Introduction
		6.2 Case (b) basis functions
		6.3 Case (a) eigenfunctions
		References
CH007.pdf
	Chapter 7 Basis set for the diatomic molecule
		References
CH008.pdf
	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
CH009.pdf
	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
CH010.pdf
	Chapter 10 The Condon and Shortley line strength
		Reference
CH011.pdf
	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
CH012.pdf
	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
CH013.pdf
	Chapter 13 Introduction to applications of diatomic spectroscopy
		References
CH014.pdf
	Chapter 14 Experimental arrangement for laser-plasma diagnosis
		References
CH015.pdf
	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
CH016.pdf
	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
CH017.pdf
	Chapter 17 Aluminium monoxide, AlO
		17.1 Laser-induced breakdown spectroscopy
		17.2 Experimental details for AlO measurements
		17.3 Selected results
		References
CH018.pdf
	Chapter 18 Hydroxyl, OH
		References
CH019.pdf
	Chapter 19 Titanium monoxide, TiO
		19.1 Introduction
		19.2 Experiment
		19.3 Results
		References
CH020.pdf
	Chapter 20 Nitric oxide, NO
		20.1 Experimental details
		20.2 Results
		20.3 Comparison with overview spectra
		References
APP1.pdf
	Chapter
		References
APP2.pdf
	Chapter
		B.1 Angular momentum operators
		B.2 Angular momentum commutators and rotation matrix elements
		References
APP3.pdf
	Chapter
		C.1 Boltzmann plots
		C.2 Modified Boltzmann plot
		References
APP4.pdf
	Chapter
		D.1 Matrix elements of the Hamiltonian
		References
APP5.pdf
	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
APP6.pdf
	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
APP7.pdf
	Chapter
		References
APP8.pdf
	Chapter
		H.1 Introduction
		H.2 Computation of a diatomic spectrum
		H.3 Determination of the molecular parameters
		H.4 Discussion
		References
APP9.pdf
	Chapter
		I.1 MorseFCF.for
		I.2 MorseSubs.for
		Reference