An essential approach to the architecture of diatomic molecules: 2. how are size, vibrational period of time, and mass interrelated?

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dc.authorid0000-0003-3209-2264
dc.contributor.authorYarman, Nuh Tolgaen_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:03:08Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:03:08Z
dc.date.issued2004-11
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Enformasyon Teknolojileri Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Information Technologiesen_US
dc.description.abstractIn our previous article, we arrived at an essential relationship for T the classical vibrational period of a given diatomic molecule, at the total electronic energy E-, i.e., T = [4pi(2)/(rootn(1)n(2)h)] rootgM(0)m(e) R-2, where M-0 to is the reduced mass of the nuclei; m(3) is the mass of the electron; R is the internuclear distance: g is a dimensionless and relativistically invariant coefficient, roughly around unity; and n(1) and n(2) are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule, which, because of quantum defects. are not integer numbers. The above relationship holds generally. It essentially yields T similar to R 2 for the classical vibrational period versus the square of the internuclear distance in different electronic states of a given molecule. which happens to be an approximate relationship known since 1925 but not understood until now. For similarly configured electronic states, we determine n(1)n(2) to be R/R-0, where R is the internuclear distance in the given electronic state and R-0 is the internuclear distance in the ground state. Furthermore. from the analysis of H-2 spectroscopic data, we found out that the ambiguous states of this molecule are configured like alkali hydrides and Li-2. This suggests that, quantum mechanically, on the basis of an equivalent H-2 excited state. we can describe well, for example, the ground state of Li-2. On the basis of this interesting finding, herein we propose to associate the quantum numbers n(1) and n2 With the bond electrons of the ground state of any diatomic molecule belonging to a given chemical family in reference to the ground state of a diatomic molecule still belonging to this family but bearing, say, the lowest classical vibrational period, since g, depending only on the electronic configuration. will stay nearly constant throughout. This allows us to draw up a complete systematization of diatomic molecules given that g (appearing to be dependent purely on the electronic structure of the molecule) stays constant for chemically alike molecules and n(1)n(2) can be identified to be R-0/R-00 for diatomic molecules whose bonds are electronically configured in the same way, R-00 then being the internuclear distance of the ground state of the molecule chosen as the reference molecule within the chemical fan-Lily under consideration. Our approach discloses the simple architecture of diatomic molecules, otherwise hidden behind a much too cumbersome quantum-mechanical description. This architecture, telling how the vibrational period of Lime. size. and mass are determined, is Lorentz-invariant and can be considered as the mechanism of the behavior of the quantities in question in interrelation with each other when the molecule is brought into uniform translational motion or transplanted into a gravitational field or, in fact, any field with which it can interact.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationYarman, N. T. (2004). An essential approach to the architecture of diatomic molecules: 2. how are size, vibrational period of time, and mass interrelated?. Optics and Spectroscopy, 97(5), 691-700. doi:10.1134/1.1828617en_US
dc.identifier.doi10.1134/1.1828617
dc.identifier.endpage700
dc.identifier.issn0030-400X
dc.identifier.issue5
dc.identifier.scopus2-s2.0-12344314150
dc.identifier.scopusqualityQ4
dc.identifier.startpage691
dc.identifier.urihttps://hdl.handle.net/11729/1831
dc.identifier.urihttps://dx.doi.org/10.1134/1.1828617
dc.identifier.volume97
dc.identifier.wosWOS:000226068800006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorYarman, Nuh Tolgaen_US
dc.institutionauthorid0000-0003-3209-2264
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherOptical Soc Ameren_US
dc.relation.ispartofOptics And Spectroscopyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectForce-constantsen_US
dc.subjectH-2en_US
dc.subjectStatesen_US
dc.subjectElectronsen_US
dc.subjectHydrogenen_US
dc.subjectSpectroscopyen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectElectronic structureen_US
dc.subjectGround stateen_US
dc.subjectHamiltoniansen_US
dc.subjectDiatomic structureen_US
dc.subjectElectron bondsen_US
dc.subjectElectronic statesen_US
dc.subjectQuantum numbersen_US
dc.subjectAtomic spectroscopyen_US
dc.titleAn essential approach to the architecture of diatomic molecules: 2. how are size, vibrational period of time, and mass interrelated?en_US
dc.typeArticleen_US
dspace.entity.typePublication

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