2010
DOI: 10.1103/physrevb.81.195414
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Carbon clusters: From ring structures to nanographene

Abstract: The lowest energy configurations of Cn(n =< 55) clusters are obtained using the energy mini- mization technique with the conjugate gradient (CG) method where a modified Brenner potential is invoked to describe the carbon and hydrocarbon interaction. We found that the ground state configuration consists of a single ring for small number of C atoms and multi-ring structures are found with increasing n, which can be in planar, bowl-like or cap-like form. Contrary to previous predictions, the binding energy Eb doe… Show more

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Cited by 70 publications
(75 citation statements)
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“…The pristine graphene cluster is approximately 15 Â 20 Å in size with all of the carbon atoms on the edges terminated with hydrogen atoms. The cluster consists of zigzag edges and armchair edges, which are the most common edge shapes of graphene without considering reconstruction [63][64][65] . A periodic boundary condition is used by adding vacuum space, and the separation between neighbouring clusters is not less than 15 Å in all three dimensions.…”
Section: Discussionmentioning
confidence: 99%
“…The pristine graphene cluster is approximately 15 Â 20 Å in size with all of the carbon atoms on the edges terminated with hydrogen atoms. The cluster consists of zigzag edges and armchair edges, which are the most common edge shapes of graphene without considering reconstruction [63][64][65] . A periodic boundary condition is used by adding vacuum space, and the separation between neighbouring clusters is not less than 15 Å in all three dimensions.…”
Section: Discussionmentioning
confidence: 99%
“…Before consider multi-layer clusters we describe the principal electronic and magnetic properties of singlelayer clusters with zig-zag edges, studied in [16][17][18][19][20][21][22][23][24][25][26][27][28][29] .…”
Section: Graphene Quantum Dotsmentioning
confidence: 99%
“…The new element here is the finite-size electron confinement, resulted in opening of the energy gap for the bulk delocalized electronic states in the vicinity of Dirac point [16][17][18]21,22,25 . This gap, however can be filled by the energy level of novel electronic states, localized in the vicinity of the sample boundary [16][17][18] .…”
Section: Introductionmentioning
confidence: 99%
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“…The optical and magnetic properties of the single and multilayer graphene QDs of various shapes have also been studied at zero field. [23][24][25][26][27][28][29][30][31][32][33][34] The distinctive property of these QDs is the opening of a finite-size energy gap due to the electron confinement, that is different from the above mentioned field-induced gap since it exists also at E ¼ 0. In addition, the novel electronic states localized at the sample boundary are formed.…”
Section: Introductionmentioning
confidence: 99%