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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7122
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dc.contributor.authorViswanathan, K.S.-
dc.date.accessioned2019-01-23T15:08:42Z-
dc.date.available2019-01-23T15:08:42Z-
dc.date.issued1959-07-
dc.identifier.citationProceedings of the Indian Academy of Sciences A, 1959, Vol.50, p1-18en_US
dc.identifier.urihttp://hdl.handle.net/2289/7122-
dc.descriptionOpen Accessen_US
dc.description.abstractStarting from Breit’s relativistic equation for a system of two electrons, it is shown that for a hydrogen molecule (or for a system of two electrons moving in a field of cylindrical symmetry) the component of the total angular momentum (Jx) along the axis of the molecule (axis of symmetry) is a constant of motion. Thus every eigenstate of the system is simultaneously an eigenstate of Jx also, and a state of the system will specify, besides its energy, only the eigenvalue of the component of the angular momentum parallel to the axis of symmetry. The form of the four large components of the wave function relating to their dependence on the azimuthal co-ordinates has been given. The case of Russel-Saunders approximation has been considered in detail and the nature of the components of the wave function for the singlet and triplet states has been discussed. It is shown that the wave function for the ground state of the hydrogen molecule could be expressed as a sum of a set of symmetric functions of which the first term is the Heitler-London function, and that the wave function for a triplet state should be a superposition of anti-symmetric molecular orbitals. It is shown that relativistic theory brings about in a natural manner the facts relating to the ground state of the molecules C2 and O2. Finally, some remarks are made concerning the case of molecules for which the spinorbit and the spin-spin couplings are strong.en_US
dc.language.isoenen_US
dc.publisherIndian Academy of Sciencesen_US
dc.relation.urihttps://www.ias.ac.in/article/fulltext/seca/050/01/0001-0018en_US
dc.rightsIndian Academy of Sciencesen_US
dc.subjectWave Functionen_US
dc.subjectHydrogen Moleculeen_US
dc.subjectAngular Momentumen_US
dc.subjectTriplet Stateen_US
dc.subjectRelativistic Theoryen_US
dc.titleThe relativistic theory of chemical bindingen_US
dc.typeArticleen_US
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