An essential approach to the architecture of diatomic molecules: 1.Basic theory

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dc.authorid0000-0003-3209-2264
dc.contributor.authorYarman, Nuh Tolgaen_US
dc.date.accessioned2015-01-15T23:00:07Z
dc.date.available2015-01-15T23:00:07Z
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.abstractWe consider the quantum-mechanical description of a diatomic molecule of electronic mass m(0e), internuclear distance R-0, and total electronic energy E-0e. We apply to it the Born-Oppenheimer approximation, together with the relation E(0e)m(0e)R(0)(2) similar to h(2) (which we established previously), written for the electronic description (with fixed nuclei). Our approach yields an essential relationship for T-0,T- the classical vibration period, at the total electronic energy E-0e; i.e., T-0 = [4pi(2)/(rootn(1)n(2)h)] rootgM(0)m(e) R-0(2). Here, At,0 is the reduced mass of the nuclei; m(e) is the mass of the electron; g is a dimensionless and relativistically invariant coefficient. roughly around unity (this quantity is associated with the particular electronic structure under consideration; thus, it remains practically the same for bonds bearing similar electronic configurations); and n(1) and n(2) are the principal quantum numbers of electrons making up the bond(s) of the diatomic molecule in hand: because of quantum defects, they are not integer numbers. The above relationship holds generally, although the quantum numbers n(1) and n(2) need to be refined. This task is undertaken in our next article, yielding a whole new systematization regarding all diatomic molecules.en_US
dc.identifier.citationYarman, N. T. (2004). An essential approach to the architecture of diatomic molecules: 1. basic theory. Optics and Spectroscopy, 97(5), 683-690. doi:10.1134/1.1828616en_US
dc.identifier.doi10.1134/1.1828616
dc.identifier.endpage690
dc.identifier.issn0030-400X
dc.identifier.issue5
dc.identifier.scopus2-s2.0-12344309076
dc.identifier.scopusqualityQ4
dc.identifier.startpage683
dc.identifier.urihttps://hdl.handle.net/11729/147
dc.identifier.urihttp://dx.doi.org/10.1134/1.1828616
dc.identifier.volume97
dc.identifier.wosWOS:000226068800005
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 Spectroscopy (English translation of Optika i Spektroskopiya)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectApproximation theoryen_US
dc.subjectDiatomic moleculeen_US
dc.subjectDissociationen_US
dc.subjectElectron bondsen_US
dc.subjectElectronic energyen_US
dc.subjectElectronic massen_US
dc.subjectElectronic structureen_US
dc.subjectEnergyen_US
dc.subjectLight (visible radiation)en_US
dc.subjectLight speeden_US
dc.subjectMathematical transformationsen_US
dc.subjectOscillationen_US
dc.subjectOscillationsen_US
dc.subjectPotential energyen_US
dc.subjectQuantum theoryen_US
dc.subjectRelativityen_US
dc.subjectVibrationen_US
dc.subjectVibration measurementen_US
dc.titleAn essential approach to the architecture of diatomic molecules: 1.Basic theoryen_US
dc.typeArticleen_US
dspace.entity.typePublication

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