  The direct random-phase approximation (dRPA) is used to calculate and compare
atomization energies for the HEAT set and 10 selected molecules of the G2-1 set
using both plane waves and Gaussian-type orbitals. We describe detailed
procedures to obtain highly accurate and well converged results for the
projector augmented-wave (PAW) method as implemented in the Vienna Ab-initio
Simulation Package (VASP) as well as the explicitly correlated dRPA-F12 method
as implemented in the TURBOMOLE package. The two approaches agree within
chemical accuracy (1 kcal/mol) for the atomization energies of all considered
molecules, both for the exact exchange as well as for the dRPA. The root
mean-square deviation is 0.41 kcal/mol for the exact exchange (evaluated using
density functional theory orbitals) and 0.33 kcal/mol for exact exchange plus
the random-phase approximation.
