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We test the performance of a number of two- and one-parameter double-hybridapproximations, combining semilocal exchange-correlation density functionalswith periodic local second-order M{\o}ller-Plesset (LMP2) perturbation theory,for calculating lattice energies of a set of molecular crystals: urea,formamide, ammonia, and carbon dioxide. All double-hybrid methods performbetter on average than the corresponding Kohn-Sham calculations with the samefunctionals, but generally not better than standard LMP2. The one-parameterdouble-hybrid approximations based on the PBEsol density functional giveslattice energies per molecule with an accuracy of about 6 kJ/mol, which issimilar to the accuracy of LMP2. This conclusion is further verified onmolecular dimers and on the hydrogen cyanide crystal.

Double-hybrid density-functional theory applied to molecular crystals