1992
DOI: 10.1126/science.256.5065.1792
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Energetics of Large Fullerenes: Balls, Tubes, and Capsules

Abstract: First-principles calculations were performed to compare the energies of 29 different fullerene structures, with mass number from 60 to 240, and of eight nonhelical graphite tubes of different radii. A quantity called the planarity, which indicates the completeness of the pi-bonding, is the single most important parameter determining the energetics of these structures. Empirical equations were constructed for the energies of nonhelical tubes and for those fullerene structures that may be described as balls or c… Show more

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Cited by 197 publications
(102 citation statements)
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“…32 The cohesive energy of the ͑10,10͒ SWNT obtained from the Brenner potential is ϳ−7.2 eV ͑ϳ0.02 eV relative to graphite͒ per carbon atom versus ϳ−7.36 eV ͑ϳ0.045 eV relative to graphite͒ per carbon atom obtained from ab initio calculations. 33 These comparisons indicate that the results obtained from the Brenner potential are in good agreement with those from the ab initio calculations. We also calculated the condensation energy of H 2 molecules confined in a ͑5,5͒ SWNT at 0 K by using the Brenner potential in conjunction with van der Waals interactions and by using ab initio DFT calculation, respectively.…”
Section: Theoretical Methodssupporting
confidence: 75%
“…32 The cohesive energy of the ͑10,10͒ SWNT obtained from the Brenner potential is ϳ−7.2 eV ͑ϳ0.02 eV relative to graphite͒ per carbon atom versus ϳ−7.36 eV ͑ϳ0.045 eV relative to graphite͒ per carbon atom obtained from ab initio calculations. 33 These comparisons indicate that the results obtained from the Brenner potential are in good agreement with those from the ab initio calculations. We also calculated the condensation energy of H 2 molecules confined in a ͑5,5͒ SWNT at 0 K by using the Brenner potential in conjunction with van der Waals interactions and by using ab initio DFT calculation, respectively.…”
Section: Theoretical Methodssupporting
confidence: 75%
“…Compared with ab initio methods [9], tight-binding schemes [10] and molecular simulations [11] which have been used before to investigate the mechanical properties of fullerene-like material, our approach has the advantage that it is asymptotically correct for large systems and universal in the sense that different material systems enter on the level of their elastic and vdW constants. In particular we discuss C, MoS 2 and WS 2 , although we focus on the WS 2 nanoparticles used in the tribological experiments mentioned above.…”
Section: Introductionmentioning
confidence: 99%
“…A new type of nanocluster with non-hollow cores, consisting of a series of concentric tubes, was also obtained; these were considered to be hydrocarbon crystals. It was proved that the formation of fullerene or graphitic onions is more favorable than that of nanotubes [76]. However, unlike the arc-discharge method, where high pressure supports CNT growth and low gas pressure supports fullerene synthesis, both fullerene and CNTs can be produced in flame synthesis in large quantity under the same conditions.…”
Section: Premixed Flame Synthesismentioning
confidence: 97%