Ground-state properties of benzenoid hydrocarbons by simple bond orbital resonance theory approach |
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Authors: | Vi?nja ?imek Tomislav P ?ivkovi? |
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Institution: | (1) Rudjer Bošković Institute, P.O. Box 1016, Zagreb, Croatia E-mail: |
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Abstract: | π-electron energies and bond orders of benzenoid hydrocarbons with up to five fused hexagons have been considered by the simple
Bond Orbital Resonance Theory (BORT) approach. The corresponding ground states were determined according to four BORT models.
In the first three models a diagonalisation of the Hückel-type Hamiltonian was performed in the bases of Kekulé, of Kekulé
and mono-Claus and of Kekulé and Claus resonance structures, respectively. In the fourth model a simple BORT ansatz was used.
According to this ansatz, the ground state is a linear combination of the positive Kekulé structures, all with equal coefficients.
It was shown that π-electron energies and bond orders obtained by these models correlate much better with the PPP energies
and bond orders than with the Hückel energies and bond orders. This indicates that a simple BORT approach is quite reliable
in predicting the more sophisticated PPP results. Concerning the relative performance of the four BORT models, the best results
were obtained with the BORT ansatz. The performance deteriorates with the expansion of the basis set. This is attributed to
the fact that in these models the improvement of the basis set is not accompanied with the corresponding improvement of the
Hamiltonian. Comparing the BORT-ansatz bond orders with the Pauling bond orders, it was shown that BORT-ansatz bond orders
correlate much better with the PPP bond orders.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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