Handbook of High‐resolution Spectroscopy 2011
DOI: 10.1002/9780470749593.hrs074
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Orders of Magnitude and Symmetry in Molecular Spectroscopy

Abstract: Considerations of the order of magnitude and the symmetry of various intramolecular interactions form the foundation of molecular spectroscopy. They are related and they together make molecular spectroscopy transparent and tidy. In this chapter, they are discussed starting from the very fundamental. The order of magnitude has not been discussed in any previous textbooks of molecular spectroscopy. The symmetry has been discussed in many textbooks and discussions here are limited to the rotational and nuclear sp… Show more

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Cited by 23 publications
(20 citation statements)
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“…The principles of nuclear spin symmetry and parity conservation are among the most fundamental aspects of spectroscopy and reaction dynamics (Quack 1977(Quack , 1983(Quack , 1985 (see also Oka (2011): Orders of Magnitude and Symmetry in Molecular Spectroscopy and Quack (2011): Fundamental Symmetries and Symmetry Violations from High-resolution Spectroscopy, this handbook). Polyatomic molecules possessing identical nuclei with nonzero spin in symmetrically equivalent positions exist in several forms of nuclear spin isomers.…”
Section: Studies Of Nuclear Spin Symmetry Conservation In Jet Expansionsmentioning
confidence: 99%
“…The principles of nuclear spin symmetry and parity conservation are among the most fundamental aspects of spectroscopy and reaction dynamics (Quack 1977(Quack , 1983(Quack , 1985 (see also Oka (2011): Orders of Magnitude and Symmetry in Molecular Spectroscopy and Quack (2011): Fundamental Symmetries and Symmetry Violations from High-resolution Spectroscopy, this handbook). Polyatomic molecules possessing identical nuclei with nonzero spin in symmetrically equivalent positions exist in several forms of nuclear spin isomers.…”
Section: Studies Of Nuclear Spin Symmetry Conservation In Jet Expansionsmentioning
confidence: 99%
“…the coordinatedependent expectation value of the nuclear kinetic energy operator over the ground-state electronic wavefunction, as well as relativistic corrections have been added to the Born-Oppenheimer potential energy surface. An excellent account of the various correction terms and their orders of magnitude can be found in a recent article by Oka [3]. The Born-Oppenheimer potential energy surface has been generated from ab initio points calculated by a non-standard method which makes use explicitly of the inter-electronic distance coordinate r 12 together with the electronic coordinates with respect to the three nuclei.…”
Section: Introductionmentioning
confidence: 99%
“…1Y X X X Y jGjg, where jGj denotes the order of G (Longuet- Higgins, 1963, Quack, 1977, Bunker and Jensen, 1998, Mills and Quack, 2002, Quack, 2011, Schnell, 2011, Oka, 2011.…”
Section: Symmetry In Nuclear-motion Computationsmentioning
confidence: 99%