Abstract
It has long been known that there are multiple solutions to the self-consistent Hartree-Fock equations. This can be problematic if careful attention is not given to the orbital occupation and electronic state in the converged wave function. The issues with convergence have been demonstrated through the calculation of potential energy curves for O2, F2, Cl2, Br2, LiF, NaCl, CaO, MgO, ScO, FeO, TiO, YO, and ZrO. Hartree-Fock (HF) calculations were used to compute the points on the potential energy surface, with dynamic electron correlation included through the use of the completely renormalized coupled cluster, including singles, doubles, and perturbative triples [CR-CC(2,3)]. Even in regions with little to no multireference character, as determined by the T1/D1 diagnostics, HF does not always converge to the ground electronic state. As HF provides the reference wave function for CR-CC(2,3), and other post-Hartree-Fock ab initio methods, treatment of electron correlation does not necessarily result in a smooth potential energy curve, especially if HF is unable to produce a smooth curve. Even the convergence rate of multireference methods can be affected as the initial orbitals that form the basis for multireference calculations are frequently obtained from HF calculations.
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Acknowledgments
This material is based on work supported by the National Science Foundation under grant numbers CHE-1213874 and instrument support was provided via CHE-0741936. RJW acknowledges support from the National Science Foundation GFRP under grant number DGE-1144248. Additional computing resources were provided by the Academic Computing Services at the University of North Texas. Support from the United States Department of Energy for the Center for Advanced Scientific Computing and Modeling (CASCaM) is acknowledged.
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Weber, R., Schoendorff, G., Wilson, A.K. (2015). The Importance of Orbital Analysis. In: Nascimento, M., Maruani, J., Brändas, E., Delgado-Barrio, G. (eds) Frontiers in Quantum Methods and Applications in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-319-14397-2_1
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