  By adding a non-linear core correction to the well established Dual Space
Gaussian type pseudopotentials for the chemical elements up to the third
period, we construct improved pseudopotentials for the Perdew Burke Ernzerhof
(PBE) functional and demonstrate that they exhibit excellent accuracy. Our
benchmarks for the G2-1 test set show average atomization energy errors of only
half a kcal/mol. The pseudopotentials also remain highly reliable for high
pressure phases of crystalline solids. When supplemented by empirical
dispersion corrections the average error in the interaction energy between
molecules is also about half a kcal/mol. The accuracy that can be obtained by
these pseudopotentials in combination with a systematic basis set is well
superior to the accuracy that can be obtained by commonly used medium size
Gaussian basis sets in all-electron calculations.
