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Statistical measures applied to metal clusters: evidence of magic numbers

2010/02/04 by J. Sañudo, Jaime Sanudo, Sanudo, Jaime +3
Materials Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Atomic and Molecular Clusters (physics.atm-clus) #Data Analysis #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quasicrystal Structures and Properties #Statistical Mechanics and Entropy #Statistics and Probability (physics.data-an) #nlin.PS #physics.atm-clus #physics.data-an

paper · pdf · doi:10.48550/arxiv.1002.1043

7 pages, 3 figures

arxiv created 2010/02/04 · openalex publication_date 2010/02/04 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, a shell model for metal clusters up to 220 valence electrons is used to obtain the fractional occupation probabilities of the electronic orbitals. Then, the calculation of a statistical measure of complexity and the Fisher-Shannon information is carried out. An increase of both magnitudes with the number of valence electrons is observed. The shell structure is reflected by the behavior of the statistical complexity. The magic numbers are indicated by the Fisher-Shannon information. So, as in the case of atomic nuclei, the study of statistical indicators also unveil the existence of magic numbers in metal clusters.

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