Alternative evaluation of statistical indicators in atoms: The non-relativistic and relativistic cases |
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Authors: | Jaime Sañ udo,Ricardo Ló pez-Ruiz |
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Affiliation: | a Departamento de Física, Facultad de Ciencias, Universidad de Extremadura, E-06071 Badajoz, Spain b BIFI, Universidad de Zaragoza, E-50009 Zaragoza, Spain c DIIS and BIFI, Facultad de Ciencias, Universidad de Zaragoza, E-50009 Zaragoza, Spain |
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Abstract: | In this work, the calculation of a statistical measure of complexity and the Fisher-Shannon information is performed for all the atoms in the periodic table. Non-relativistic and relativistic cases are considered. We follow the method suggested in [C.P. Panos, N.S. Nikolaidis, K.Ch. Chatzisavvas, C.C. Tsouros, arXiv:0812.3963v1] that uses the fractional occupation probabilities of electrons in atomic orbitals, instead of the continuous electronic wave functions. For the order of shell filling in the relativistic case, we take into account the effect due to electronic spin-orbit interaction. The increasing of both magnitudes, the statistical complexity and the Fisher-Shannon information, with the atomic number Z is observed. The shell structure and the irregular shell filling is well displayed by the Fisher-Shannon information in the relativistic case. |
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Keywords: | 31.15.-p 89.75.Fb |
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