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Title
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Dependence of the -electron eigenvalue sum on the number of atoms in almost spherical C cages
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Author
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Abstract
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| A free-electron-like model is first shown to lead to the eigenvalue sum of the pi electrons in almost spherical C cages, being proportional to N, where N is the number of C atoms. The model is also closely related to a tight-binding model, stemming from the Huckel theory of pi electrons. The equilibrium radius R-e of the C cages is assumed to be determined by the "rule" of constant surface area per C atom, and hence R(e)proportional toN(1/2). We then compare these models with a series of Hartree-Fock calculations on the fullerenes C-50, C-60, C-70, and C-84, from which more accurate energy scaling relations are obtained. Finally, the relation between the total energy of the four C cages at equilibrium and the all-electron eigenvalue sum is confirmed by the Hartree-Fock studies. |
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Language
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English
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Source (journal)
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Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
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Publication
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Lancaster, Pa
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2002
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ISSN
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1094-1622
[online]
1050-2947
[print]
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DOI
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10.1103/PHYSREVA.66.013210
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Volume/pages
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66
:1
(2002)
, p. 1-5
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Article Reference
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013210
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ISI
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000177200800076
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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