PMID- 25429927 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20150611 LR - 20141128 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 141 IP - 20 DP - 2014 Nov 28 TI - Towards improved local hybrid functionals by calibration of exchange-energy densities. PG - 204101 LID - 10.1063/1.4901238 [doi] AB - A new approach for the calibration of (semi-)local and exact exchange-energy densities in the context of local hybrid functionals is reported. The calibration functions are derived from only the electron density and its spatial derivatives, avoiding spatial derivatives of the exact-exchange energy density or other computationally unfavorable contributions. The calibration functions fulfill the seven more important out of nine known exact constraints. It is shown that calibration improves substantially the definition of a non-dynamical correlation energy term for generalized gradient approximation (GGA)-based local hybrids. Moreover, gauge artifacts in the potential-energy curves of noble-gas dimers may be corrected by calibration. The developed calibration functions are then evaluated for a large range of energy-related properties (atomization energies, reaction barriers, ionization potentials, electron affinities, and total atomic energies) of three sets of local hybrids, using a simple one-parameter local-mixing. The functionals are based on (a) local spin-density approximation (LSDA) or (b) Perdew-Burke-Ernzerhof (PBE) exchange and correlation, and on (c) Becke-88 (B88) exchange and Lee-Yang-Parr (LYP) correlation. While the uncalibrated GGA-based functionals usually provide very poor thermochemical data, calibration allows a dramatic improvement, accompanied by only a small deterioration of reaction barriers. In particular, an optimized BLYP-based local-hybrid functional has been found that is a substantial improvement over the underlying global hybrids, as well as over previously reported LSDA-based local hybrids. It is expected that the present calibration approach will pave the way towards new generations of more accurate hyper-GGA functionals based on a local mixing of exchange-energy densities. FAU - Arbuznikov, Alexei V AU - Arbuznikov AV AD - Institut fur Chemie, Technische Universitat Berlin, Theoretische Chemie, Sekr. C7, Strasse des 17. Juni 135, D-10623 Berlin, Germany. FAU - Kaupp, Martin AU - Kaupp M AD - Institut fur Chemie, Technische Universitat Berlin, Theoretische Chemie, Sekr. C7, Strasse des 17. Juni 135, D-10623 Berlin, Germany. LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 EDAT- 2014/11/29 06:00 MHDA- 2014/11/29 06:01 CRDT- 2014/11/29 06:00 PHST- 2014/11/29 06:00 [entrez] PHST- 2014/11/29 06:00 [pubmed] PHST- 2014/11/29 06:01 [medline] AID - 10.1063/1.4901238 [doi] PST - ppublish SO - J Chem Phys. 2014 Nov 28;141(20):204101. doi: 10.1063/1.4901238.