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We consider several spin-unrestricted random-phase approximation (RPA)variants for calculating correlation energies, with and without rangeseparation, and test them on datasets of atomization energies and reactionbarrier heights. We show that range separation greatly improves the accuracy ofall RPA variants for these properties. Moreover, we show that a RPA variantwith exchange, hereafter referred to as RPAx-SO2, first proposed by Sz-abo andOstlund [A. Szabo and N. S. Ostlund, J. Chem. Phys. 67, 4351 (1977)] in aspin-restricted closed-shell formalism, and extended here to aspin-unrestricted formalism , provides on average the most accuraterange-separated RPA variant for atomization energies and reaction barrierheights. Since this range-separated RPAx-SO2 method had already been shown tobe among the most accurate range-separated RPA variants for weak intermolecularinteractions [J. Toulouse, W. Zhu, A. Savin, G. Jansen, and J. G.{\'A}ngy{\'a}n, J. Chem. Phys. 135, 084119 (2011)], this works confirmsrange-separated RPAx-SO2 as a promising method for general chemicalapplications.

Spin-unrestricted random-phase approximation with range separation: Benchmark on atomization energies and reaction barrier heights