We use the random phase approximation (RPA) method with the singlescorrelation energy contributions to calculate lattice energies of ten molecularsolids. While RPA gives too weak binding, underestimating the reference data by$13.7$\% on average, much improved results are obtained when the singles areincluded at the GW singles excitations (GWSE) level, with average absolutedifference to the reference data of only $3.7$\%. Consistently with previousresults, we find a very good agreement with the reference data for hydrogenbonded systems, while the binding is too weak for systems where dispersionforces dominate. In fact, the overall accuracy of the RPA+GWSE method issimilar to an estimated accuracy of the reference data.
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