Total angular momentum and atomic magnetic moments
Identifieur interne : 003F19 ( Main/Curation ); précédent : 003F18; suivant : 003F20Total angular momentum and atomic magnetic moments
Auteurs : Xavier Oudet [France] ; Georges Lochak [France]Source :
- Journal of Magnetism and Magnetic Materials [ 0304-8853 ] ; 1987.
Descripteurs français
English descriptors
- KwdEn :
- Additional electron, Alkaline, Alkaline doublet, Alkaline doublets, Angular momentum, Angular states, Atomic states, Bohr, Bohr magneton, Bohr magnetons, Chromium, Chromium compounds, Cobalt, Complex atom, Corresponding number, Crystal field, Degeneracy, Different quantum states, Different values, Dirac, Dirac equation, Dirac model, Doublet, Earth metals, Earths metals, Electronic configuration, Electronic configurations, Energy levels, Experimental basis, Experimental data, Experimental results, Experimental value, Experimental values, Eyring amsterdam, Fine components, First formula, First subshell, First time, Frequency splitting, Highest value, Hydrogen atom, Important role, Individual property, Land6 factor, Legvold, Lochak, Magnetic field, Magnetic moment, Magnetic moments, Magneton, Matrix, Moments table, Neutron, Neutron diffraction studies, Neutron diffraction study, Nonrelativictic approximation, Nonrelativistic approximation, Orbital number, Other hand, Other side, Other words, Oudet, Oxydation number, Pauli exclusion principle, Periodic classification, Periodic table, Phys, Possible values, Principal series, Pure metal, Pure metals, Quantum, Quantum mechanics, Quantum number, Quantum numbers, Quantum state, Quantum states, Quantum theory, Rare earth, Rare earths, Recherche scientifique, Same shell, Same subshell, Same value, Screening doublet, Screening doublets, Screening quantum number, Second subshell, Several electrons, Single crystal, Single crystals, Solid state commun, Subshell, Subshells, Terres rares, Theoretical value, Theoretical values, Tohoku univ, Wave function.
- Teeft :
- Additional electron, Alkaline, Alkaline doublet, Alkaline doublets, Angular momentum, Angular states, Atomic states, Bohr, Bohr magneton, Bohr magnetons, Chromium, Chromium compounds, Cobalt, Complex atom, Corresponding number, Crystal field, Degeneracy, Different quantum states, Different values, Dirac, Dirac equation, Dirac model, Doublet, Earth metals, Earths metals, Electronic configuration, Electronic configurations, Energy levels, Experimental basis, Experimental data, Experimental results, Experimental value, Experimental values, Eyring amsterdam, Fine components, First formula, First subshell, First time, Frequency splitting, Highest value, Hydrogen atom, Important role, Individual property, Land6 factor, Legvold, Lochak, Magnetic field, Magnetic moment, Magnetic moments, Magneton, Matrix, Moments table, Neutron, Neutron diffraction studies, Neutron diffraction study, Nonrelativictic approximation, Nonrelativistic approximation, Orbital number, Other hand, Other side, Other words, Oudet, Oxydation number, Pauli exclusion principle, Periodic classification, Periodic table, Phys, Possible values, Principal series, Pure metal, Pure metals, Quantum, Quantum mechanics, Quantum number, Quantum numbers, Quantum state, Quantum states, Quantum theory, Rare earth, Rare earths, Recherche scientifique, Same shell, Same subshell, Same value, Screening doublet, Screening doublets, Screening quantum number, Second subshell, Several electrons, Single crystal, Single crystals, Solid state commun, Subshell, Subshells, Terres rares, Theoretical value, Theoretical values, Tohoku univ, Wave function.
Abstract
Abstract: A new calculation of the magnetic moment of an atom is suggested on the basis of the hypothesis that the total angular momentum of one electron is the same in a complex atom situated in a solid as in a hydrogen-like atom described in Dirac's theory. The latter is first revisited and the quantum states thus defined are compared with those of Schrödinger's theory. Then, the experimental basis of the notion of spin is recalled and compared to the subshell division of the p, d and f shells in Dirac's theory.Using this division in subshells a calculation of the magnetic moment is applied to the heavy rare earth metals, iron, cobalt, nickel and the chromium compounds and compared with experimental data. This leads us to a discussion of the Pauli exclusion principle and to the choice of a convenient electronic configuration of each magnetic element. Finally these configurations are compared to the theoretical magnetic moments.
Url:
DOI: 10.1016/0304-8853(87)90315-5
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ISTEX:A7185B4081B7641C0E08613A0A52CBAAD66D989FLe document en format XML
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<term>Angular momentum</term>
<term>Angular states</term>
<term>Atomic states</term>
<term>Bohr</term>
<term>Bohr magneton</term>
<term>Bohr magnetons</term>
<term>Chromium</term>
<term>Chromium compounds</term>
<term>Cobalt</term>
<term>Complex atom</term>
<term>Corresponding number</term>
<term>Crystal field</term>
<term>Degeneracy</term>
<term>Different quantum states</term>
<term>Different values</term>
<term>Dirac</term>
<term>Dirac equation</term>
<term>Dirac model</term>
<term>Doublet</term>
<term>Earth metals</term>
<term>Earths metals</term>
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<term>Electronic configurations</term>
<term>Energy levels</term>
<term>Experimental basis</term>
<term>Experimental data</term>
<term>Experimental results</term>
<term>Experimental value</term>
<term>Experimental values</term>
<term>Eyring amsterdam</term>
<term>Fine components</term>
<term>First formula</term>
<term>First subshell</term>
<term>First time</term>
<term>Frequency splitting</term>
<term>Highest value</term>
<term>Hydrogen atom</term>
<term>Important role</term>
<term>Individual property</term>
<term>Land6 factor</term>
<term>Legvold</term>
<term>Lochak</term>
<term>Magnetic field</term>
<term>Magnetic moment</term>
<term>Magnetic moments</term>
<term>Magneton</term>
<term>Matrix</term>
<term>Moments table</term>
<term>Neutron</term>
<term>Neutron diffraction studies</term>
<term>Neutron diffraction study</term>
<term>Nonrelativictic approximation</term>
<term>Nonrelativistic approximation</term>
<term>Orbital number</term>
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<term>Other side</term>
<term>Other words</term>
<term>Oudet</term>
<term>Oxydation number</term>
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<term>Periodic classification</term>
<term>Periodic table</term>
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<term>Possible values</term>
<term>Principal series</term>
<term>Pure metal</term>
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<term>Quantum mechanics</term>
<term>Quantum number</term>
<term>Quantum numbers</term>
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<term>Quantum states</term>
<term>Quantum theory</term>
<term>Rare earth</term>
<term>Rare earths</term>
<term>Recherche scientifique</term>
<term>Same shell</term>
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<term>Same value</term>
<term>Screening doublet</term>
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<term>Screening quantum number</term>
<term>Second subshell</term>
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<term>Single crystal</term>
<term>Single crystals</term>
<term>Solid state commun</term>
<term>Subshell</term>
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<term>Theoretical value</term>
<term>Theoretical values</term>
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<term>Wave function</term>
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<term>Alkaline</term>
<term>Alkaline doublet</term>
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<term>Angular momentum</term>
<term>Angular states</term>
<term>Atomic states</term>
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<term>Bohr magneton</term>
<term>Bohr magnetons</term>
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<term>Cobalt</term>
<term>Complex atom</term>
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<term>Degeneracy</term>
<term>Different quantum states</term>
<term>Different values</term>
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<term>Dirac equation</term>
<term>Dirac model</term>
<term>Doublet</term>
<term>Earth metals</term>
<term>Earths metals</term>
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<term>Experimental value</term>
<term>Experimental values</term>
<term>Eyring amsterdam</term>
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<term>First formula</term>
<term>First subshell</term>
<term>First time</term>
<term>Frequency splitting</term>
<term>Highest value</term>
<term>Hydrogen atom</term>
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<term>Matrix</term>
<term>Moments table</term>
<term>Neutron</term>
<term>Neutron diffraction studies</term>
<term>Neutron diffraction study</term>
<term>Nonrelativictic approximation</term>
<term>Nonrelativistic approximation</term>
<term>Orbital number</term>
<term>Other hand</term>
<term>Other side</term>
<term>Other words</term>
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<term>Oxydation number</term>
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<term>Periodic table</term>
<term>Phys</term>
<term>Possible values</term>
<term>Principal series</term>
<term>Pure metal</term>
<term>Pure metals</term>
<term>Quantum</term>
<term>Quantum mechanics</term>
<term>Quantum number</term>
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<term>Quantum theory</term>
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<term>Rare earths</term>
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<term>Screening quantum number</term>
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<term>Single crystals</term>
<term>Solid state commun</term>
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<term>Theoretical values</term>
<term>Tohoku univ</term>
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<front><div type="abstract" xml:lang="en">Abstract: A new calculation of the magnetic moment of an atom is suggested on the basis of the hypothesis that the total angular momentum of one electron is the same in a complex atom situated in a solid as in a hydrogen-like atom described in Dirac's theory. The latter is first revisited and the quantum states thus defined are compared with those of Schrödinger's theory. Then, the experimental basis of the notion of spin is recalled and compared to the subshell division of the p, d and f shells in Dirac's theory.Using this division in subshells a calculation of the magnetic moment is applied to the heavy rare earth metals, iron, cobalt, nickel and the chromium compounds and compared with experimental data. This leads us to a discussion of the Pauli exclusion principle and to the choice of a convenient electronic configuration of each magnetic element. Finally these configurations are compared to the theoretical magnetic moments.</div>
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