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American Institute of Physics, The Journal of Chemical Physics, 10(115), p. 4463-4472, 2001

DOI: 10.1063/1.1390515

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Accurate relativistic Gaussian basis sets for H through Lr determined by atomic self-consistent field calculations with the third-order Douglas–Kroll approximation

Journal article published in 2001 by Takashi Tsuchiya, Minori Abe ORCID, Takahito Nakajima, Kimihiko Hirao
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Highly accurate relativistic Gaussian basis sets are developed for the 103 elements from H(Z = 1) to Lr (Z = 103). Orbital exponents are optimized by minimizing the atomic self-consistent field (SCF) energy with the scalar relativistic third-order Douglas–Kroll approximation. The basis sets are designed to have equal quality and to be appropriate for the incorporation of relativistic effects. The basis set performance is tested by calculations on prototypical molecules, hydrides, and dimers of copper, silver, and gold using SCF, Møller–Plesset theory, and the singles and doubles coupled-cluster methods with and without perturbative triples [CCSD, CCSD(T)]. Spectroscopic constants and dissociation energies are reported for the ground state of each species. The effects of relativity, electron correlation, and the basis set superposition error (BSSE) are investigated. At the BSSE corrected CCSD(T) level, the mean absolute error relative to experiment in De for three dimers (hydrides) is 0.13 (0.09) eV; for Re the error is 0.024 (0.003) Å, and for ωe it is 2 (13) cm−1. These illustrative calculations confirm that the present basis sets fulfill their design objectives. © 2001 American Institute of Physics.