Dependence of the pi-electron eigenvalue sum on the number of atoms in almost spherical C cages
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The relation between the -electron eigenvalue sum and the number of atoms in spherical C cages was studied. A free-electron-like model was developed to evaluate the eigenvalue sum of the spherical C cages, being proportional to N, where N is the number of C atoms. The energy scaling relations were obtained by the comparison of these models with a series of Hartree-Fock calculations on the fullerenes C50, C60, C70 and C84. The Hartree-Fock studies confirmed the relation between the all-electron eigenvalue sum and the total energy of the four C cages at equilibrium. Oxford University Press 2002.