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Publication: Singlet-triplet (S0→T1) excitation energies of the [4×n] rectangular graphene nanoribbon series (n=2-6): A comparative theoretical study

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Title Singlet-triplet (S0→T1) excitation energies of the [4×n] rectangular graphene nanoribbon series (n=2-6): A comparative theoretical study
Authors/Editors* S Rayne, K Forest
Where published* Computational and Theoretical Chemistry
How published* Journal
Year* 2011
Volume 977
Number
Pages 163-167
Publisher Elsevier
Keywords Rectangular graphene nanoribbons; Singlet-triplet excitation energies; Density functional methods; Theoretical benchmarking
Link http://dx.doi.org/10.1016/j.comptc.2011.09.021
Abstract
Singlet-triplet (S0→T1) well-to-well (WWES-T) and vertical (VES-T) excitation energies of the [4×n] rectangular graphene nanoribbon series (n=2-6) were estimated using various semiempirical, Hartree-Fock (HF), density functional (DFT), and second order Moller-Plesset perturbation theory methods with the assumption of a closed-shell singlet state. Significant model chemistry dependent variability in theoretically obtained WWES-T/VES-T is evident for the rectangular graphene nanoribbons. With the exception of the B2PLYP density functional (which, along with the mPW2PLYP functional, combines exact HF exchange with an MP2-like correlation to the DFT calculation), all DFT, semiempirical, and HF methods investigated predict the onset of a negative WWES-T/VES-T (ground state triplet) starting somewhere between the [4×3] through [4×6] derivatives, with most functionals predicting a transition from a singlet to triplet ground state between the [4×4] and [4×5] rectangular graphene nanoribbons. Consistent with previous work on the n-acene series, MP2 WWES-T/VES-T estimates have a significant positive systematic bias and HF estimates have substantial negative systematic biases. Extrapolation of the B2PLYP results, which are in excellent agreement with prior FPA-QZ VES-T estimates, for any [m×n] rectangular graphene nanoribbon derivatives predicts a vanishingly small singlet-triplet gap at the polymeric limit (m→∞ and/or n→∞).
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