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Complexity of Dirac–Fock atom increases with atomic number

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Title: Complexity of Dirac–Fock atom increases with atomic number
Authors: Borgoo, A.1, De Proft, F.1, Geerlings, P.1, Sen, K.D.2 sensc@uohyd.ernet.in
Source: Chemical Physics Letters. Aug2007, Vol. 444 Issue 1-3, p186-191. 6p.
Subjects: Weights & measures, Physics, Measurement, Units of measurement
Abstract: Abstract: Using the Dirac–Fock relativistic wave functions in the position space the shape complexity, , form of the statistical complexity measure due to López-Ruiz, Mancini, and Calbet and the simple two parameter complexity measure, Γ α,β , proposed by Shiner, Davison and Landsberg for atoms H–Lr are calculated. A comparison with the non-relativistic Hartee–Fock results is carried out to ascertain the influence of the relativistic effects on complexity. Unlike the non-relativistic Hartree–Fock results, which lead to the non-increasing , the Dirac–Fock calculations lead to both and Γ α,β clearly displaying an increasing trend in complexity as the atomic number increases. [Copyright &y& Elsevier]
Copyright of Chemical Physics Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Complexity of Dirac–Fock atom increases with atomic number
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  Data: <searchLink fieldCode="AR" term="%22Borgoo%2C+A%2E%22">Borgoo, A.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22De+Proft%2C+F%2E%22">De Proft, F.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Geerlings%2C+P%2E%22">Geerlings, P.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Sen%2C+K%2ED%2E%22">Sen, K.D.</searchLink><relatesTo>2</relatesTo><i> sensc@uohyd.ernet.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Chemical+Physics+Letters%22">Chemical Physics Letters</searchLink>. Aug2007, Vol. 444 Issue 1-3, p186-191. 6p.
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  Label: Abstract
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  Data: Abstract: Using the Dirac–Fock relativistic wave functions in the position space the shape complexity, , form of the statistical complexity measure due to López-Ruiz, Mancini, and Calbet and the simple two parameter complexity measure, Γ α,β , proposed by Shiner, Davison and Landsberg for atoms H–Lr are calculated. A comparison with the non-relativistic Hartee–Fock results is carried out to ascertain the influence of the relativistic effects on complexity. Unlike the non-relativistic Hartree–Fock results, which lead to the non-increasing , the Dirac–Fock calculations lead to both and Γ α,β clearly displaying an increasing trend in complexity as the atomic number increases. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Chemical Physics Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Measurement
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