Variational Monte Carlo and Configurational Interaction Studies of $C_{60}$ and its Fragments

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dc.creatorSrinivasan, Bhargavi
dc.creatorRamasesha, S.
dc.creatorKrishnamurthy, H. R.
dc.date1996-04-29
dc.date.accessioned2026-07-07T03:08:32Z
dc.date.available2026-07-07T03:08:32Z
dc.descriptionThe $C_{60}$ molecule and its fragments are studied using Configuration Interaction (CI) and Variational Monte Carlo (VMC) techniques, within the Hubbard model. Using benzene as a test case, we compare the results of the approximate calculations with exact calculations. The fragments of $C_{60}$ studied are pyracylene, fluoranthene and corannulene. The energies, bond orders, spin-spin and charge-correlation functions of these systems are obtained for various values of the Hubbard parameter, $U$. The analysis of bond orders and correlation functions of these individual molecules allow us to visualise pyracylene as a naphthalene unit with two ethylenic moieties and fluoranthene as weakly bridged benzene and naphthalene units. Corannulene is the largest fragment of $C_{60}$ that we have studied. The hexagon-hexagon(h-h) bond orders are slightly larger than those of the hexagon-pentagon bonds(h-p), a feature also found in other fragments. We also find bonds between two co-ordinated carbon sites to be stronger than bonds involving three coordinated carbon sites. In $C_{60}$, the h-h bonds are stronger than in corannulene and the h-p bonds weaker than in corannulene for all correlation strengths. Introducing bond alternation in the buckyball enhances this difference.
dc.description42 pages, 5 figures available on request, to appear in J. Phys. Chem
dc.identifierhttps://arxiv.org/abs/cond-mat/9605002
dc.identifierhttp://arxiv.org/abs/cond-mat/9605002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27532
dc.subjectCondensed Matter
dc.titleVariational Monte Carlo and Configurational Interaction Studies of $C_{60}$ and its Fragments
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