Abstract
Photon-induced electronic excitations are ubiquitously observed in organic chromophore. In this context, we present a simple, alternative time-independent DFT procedure, for the computation of single-particle excitation energies, in particular, the lower bound excited singlet states, which are of primary interest in photochemistry. This takes inspiration from recently developed Becke’s exciton model, where a key step constitutes the accurate evaluation of correlated singlet–triplet splitting energy. It introduces a non-empirical model, from both “adiabatic connection theorem” and “virial theorem” to analyze the role of 2e\(^-\) integral in such calculations. The latter quantity is efficiently mapped onto a real grid and computed accurately using a purely numerical strategy. Illustrative calculations are performed on 10 \(\pi \)-electron organic chromophores within a Cartesian grid implementation of pseudopotential Kohn–Sham (KS) DFT, developed in our laboratory, taking SBKJC-type basis functions within B3LYP approximation. The triplet and singlet excitation energies corresponding to first singly excited configuration are found to be in excellent agreement with TD-B3LYP calculations. Further, we perform the same for a set of larger molecular systems using the asymptotically corrected LC-BLYP, in addition to B3LYP. A systematic comparison with theoretical best estimates demonstrates the viability and suitability of current approach in determining optical gaps, combining predictive accuracy with moderate computational cost.
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Acknowledgements
AG is grateful to UGC for a senior research fellowship. TG acknowledges INSPIRE program for financial support. AKR thankfully acknowledges funding from DST SERB, New Delhi, India (sanction order: CRG/2019/000293). We thank the anonymous refree for constructive comments.
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Ghosal, A., Gupta, T., Mahato, K. et al. Excitation energies through Becke’s exciton model within a Cartesian-grid KS DFT. Theor Chem Acc 140, 2 (2021). https://doi.org/10.1007/s00214-020-02699-5
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DOI: https://doi.org/10.1007/s00214-020-02699-5