We propose a new form of carbon in which the atoms are arranged in a self-similar fashion. The hypothetical structure we consider is two-dimensional, having a fractal dimension df= 1+log 2/log 3≈1.63 which we call the Davidene. Our results for the ground state geometries of the aggregate as a function of its size L indicate that the fractal cluster is stable, displaying a small "gap" (≈0.16 eV) for large L. A detailed analysis of the energy spectrum shows that it possesses self-similar properties with a fractal dimension df=0.79±0.02 for large L. © 1998 Elsevier Science Ltd. All rights reserved.
Roman, H., Lorenzoni, A., Benedek, G., Broglia, R. (1998). Fractal carbon clusters modelling new forms of carbon. CARBON, 36(5-6), 503-506 [10.1016/S0008-6223(98)00059-1].
Fractal carbon clusters modelling new forms of carbon
Roman H. E.;Benedek G.;
1998
Abstract
We propose a new form of carbon in which the atoms are arranged in a self-similar fashion. The hypothetical structure we consider is two-dimensional, having a fractal dimension df= 1+log 2/log 3≈1.63 which we call the Davidene. Our results for the ground state geometries of the aggregate as a function of its size L indicate that the fractal cluster is stable, displaying a small "gap" (≈0.16 eV) for large L. A detailed analysis of the energy spectrum shows that it possesses self-similar properties with a fractal dimension df=0.79±0.02 for large L. © 1998 Elsevier Science Ltd. All rights reserved.
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