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Title: | A benchmark theoretical study of the electronic ground state and of the singlet-triplet split of benzene and linear acenes | Authors: | HAJGATO, Balazs Szieberth, D. Geerlings, P. De Proft, F. DELEUZE, Michael |
Issue Date: | 2009 | Publisher: | AMER INST PHYSICS | Source: | JOURNAL OF CHEMICAL PHYSICS, 131 (22) | Abstract: | A benchmark theoretical study of the electronic ground state and of the vertical and adiabatic singlet-triplet (ST) excitation energies of benzene (n=1) and n-acenes (C4n+2H2n+4) ranging from naphthalene (n=2) to heptacene (n=7) is presented, on the ground of single- and multireference calculations based on restricted or unrestricted zero-order wave functions. High-level and large scale treatments of electronic correlation in the ground state are found to be necessary for compensating giant but unphysical symmetry-breaking effects in unrestricted single-reference treatments. The composition of multiconfigurational wave functions, the topologies of natural orbitals in symmetry-unrestricted CASSCF calculations, the T1 diagnostics of coupled cluster theory, and further energy-based criteria demonstrate that all investigated systems exhibit a (1)A(g) singlet closed-shell electronic ground state. Singlet-triplet (S-0-T-1) energy gaps can therefore be very accurately determined by applying the principles of a focal point analysis onto the results of a series of single-point and symmetry-restricted calculations employing correlation consistent cc-pVXZ basis sets (X=D, T, Q, 5) and single-reference methods [HF, MP2, MP3, MP4SDQ, CCSD, CCSD(T)] of improving quality. According to our best estimates, which amount to a dual extrapolation of energy differences to the level of coupled cluster theory including single, double, and perturbative estimates of connected triple excitations [CCSD(T)] in the limit of an asymptotically complete basis set (cc-pV infinity Z), the S-0-T-1 vertical excitation energies of benzene (n=1) and n-acenes (n=2-7) amount to 100.79, 76.28, 56.97, 40.69, 31.51, 22.96, and 18.16 kcal/mol, respectively. Values of 87.02, 62.87, 46.22, 32.23, 24.19, 16.79, and 12.56 kcal/mol are correspondingly obtained at the CCSD(T)/cc-pV infinity Z level for the S-0-T-1 adiabatic excitation energies, upon including B3LYP/cc-PVTZ corrections for zero-point vibrational energies. In line with the absence of Peierls distortions, extrapolations of results indicate a vanishingly small S-0-T-1 energy gap of 0 to similar to 4 kcal/mol (similar to 0.17 eV) in the limit of an infinitely large polyacene. | Notes: | [Hajgato, B.; Deleuze, M. S.] Hasselt Univ, Res Grp Theoret Chem & Mol Modeling, B-3590 Diepenbeek, Belgium. [Hajgato, B.; Geerlings, P.; De Proft, F.] Vrije Univ Brussels, B-1050 Brussels, Belgium. [Szieberth, D.] Budapest Univ Technol & Econ, Fac Chem Engn, Dept Inorgan & Analyt Chem, H-1111 Budapest, Hungary. michael.deleuze@uhasselt.be | Keywords: | coupled cluster calculations; electron correlations; extrapolation; ground states; HF calculations; molecular configurations; molecular electronic states; orbital calculations; organic compounds; perturbation theory; potential energy functions; SCF calculations; triplet state; vibrational states; wave functions | Document URI: | http://hdl.handle.net/1942/10355 | ISSN: | 0021-9606 | e-ISSN: | 1089-7690 | DOI: | 10.1063/1.3270190 | ISI #: | 000272803000038 | Rights: | Copyright (2009) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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