“…In the field of quantum chemistry, there is a multitude of free density-functional theory [1,2] (DFT) codes using a wide variety of approaches to represent the molecular orbitals (MOs), such as plane-waves (e.g., ABINIT, [3,4] NWChem, [5,6] and Quantum ESPRESSO [7,8] ), wavelets (BigDFT, [9,10] DFT++ [11,12] and M-A-D-N-E-S-S [13] ), numerical atomic orbitals (OpenMX [14] and GPAW [15,16] ), and numerical grids (GPAW and Octopus [17,18] ), for example. However, these approaches (with the exception of multiresolution grids) become computationally problematic when hybrid DFT functionals [19] are used, due to the need to compute the exact exchange (see Hartree-Fock section).…”