TY - BOOK AU - Parigger,Christian G. AU - Hornkohl,James O. TI - Quantum Mechanics of the Diatomic Molecule with Applications T2 - IOP Ebooks Series SN - 9780750341868 AV - QC174.12 .P375 2020 U1 - 530.12 PY - 2019/// CY - Bristol PB - Institute of Physics Publishing KW - Quantum theory KW - Diatomic molecules KW - Electronic books N1 - 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 N2 - Summarizing more than 30 years of quantitative analysis of temporally and spatially-resolved experimental records, and introducing insights that are essential in utilizing the inherent symmetries associated with diatomic molecules, this is a valuable reference to any academic engaged in the field of spectroscopy and serves as a comprehensive guide to anyone with a genuine interest in the subject UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=31252827 ER -