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Physical properties of many-electron atomic systems evaluated from analytical Hartree-Fock functions

I. Nuclear magnetic shielding constants

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Abstract

Nuclear magnetic shielding constants σ have been evaluated for all the positive ions, neutral atoms, and negative ions up to Krypton (Z=36). Extrapolated values (up to Z=106) are also presented for these systems. Comparison with previously calculated σ is made wherever such values are available. It is pointed out that the contribution to σ of an electron is independent of its orbital angular momentum quantum number but depends upon the principal quantum number of the shell, and that innermost shells make the largest contribution.

Zusammenfassung

Die kernmagnetischen Abschirmungskonstanten σ sind für alle positiven Ionen, neutrale Atome und negativen Ionen bis zum Krypton (Z=36) berechnet und bis Z=106 extrapoliert worden. Den Ergebnissen werden soweit möglich —anderweitig berechnete σ-Werte gegenübergestellt. Es wird gezeigt, daß der Beitrag eines Elektrons zu σ unabhängig von seinen Nebenquantenzahl ist, daß er aber von der Hauptquantenzahl der Schale abhängt und daß die innersten Schalen den größten Beitrag liefern.

Résumé

Les constantes d'écran magnétique nucléaire σ ont été calculées pour tous les ions positives, les atomes neutres et les ions négatives jusqu'au Krypton (Z=36). On présente aussi des valeurs extrapolées (jusqu'à Z=106) pour tous ces systèmes et on établit une comparaison avec les valeurs calculées par des autres auteurs. On remarque que la contribution d'un électron à la valeur de σ est indépendante de son nombre quantique orbital, mais pas de son nombre quantique principal, et on montre que les couches électroniques intérieures donnent la contribution la plus important.

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This work has been supported in part by the National Research Council of Canada.

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Malli, G., Fraga, S. Physical properties of many-electron atomic systems evaluated from analytical Hartree-Fock functions. Theoret. Chim. Acta 5, 275–283 (1966). https://doi.org/10.1007/BF00526133

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  • DOI: https://doi.org/10.1007/BF00526133

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