How Accurate Are Static Polarizability Predictions from Density Functional Theory? An Assessment over 132 Species at Equilibrium Geometry

Static polarizabilities are the first response of the electron density to electric fields, and are therefore important for predicting intermolecular and molecule-field interactions. They also offer a global measure of the accuracy of the treatment of excited states by density functionals in a formally exact manner. We have developed a database of benchmark static polarizabilities for 132 small species at equilibrium geometry, using coupled cluster theory through triple excitations (extrapolated to the complete basis set limit), for the purpose of developing and assessing density functionals. The performance of 60 popular and recent functionals are also assessed, which indicates that double hybrid functionals perform the best, having RMS errors in the range of 2.5-3.8% . Many hybrid functionals also give quite reasonable estimates with 4-5% RMSE. A few meta-GGAs like mBEEF and MVS yield performance comparable to hybrids, indicating potential for improved excited state predictions relative to typical local functionals. Some recent functionals however are found to be prone to catastrophic failure (possibly as a consequence of overparameterization), indicating a need for caution in applying these.

How Accurate Are Static Polarizability Predictions from Density Functional Theory? An Assessment over 132 Species at Equilibrium Geometry

10.26434/chemrxiv.6449693.v1 ◽

2018 ◽

Author(s):

Diptarka Hait ◽

Martin Head-Gordon

Keyword(s):

Electric Fields ◽

Density Functional ◽

Basis Set ◽

Equilibrium Geometry ◽

Density Functionals ◽

Functional Theory ◽

First Response ◽

Complete Basis Set ◽

Static polarizabilities are the first response of the electron density to electric fields, and are therefore important for predicting intermolecular and molecule-field interactions. They also offer a global measure of the accuracy of the treatment of excited states by density functionals in a formally exact manner. We have developed a database of benchmark static polarizabilities for 132 small species at equilibrium geometry, using coupled cluster theory through triple excitations (extrapolated to the complete basis set limit), for the purpose of developing and assessing density functionals. The performance of 56 popular and recent functionals are also assessed, which indicates that double hybrid functionals perform the best, having RMS errors in the range of 2.5-3.8% . Many hybrid functionals also give quite reasonable estimates with 4-5% RMSE. A few meta-GGAs like mBEEF and MVS yield performance comparable to hybrids, indicating potential for improved excited state predictions relative to typical local functionals. Some recent functionals however are found to be prone to catastrophic failure (possibly as a consequence of overparameterization), indicating a need for caution in applying these.

Evaluating Transition Metal Barrier Heights with the Latest DFT Exchange–Correlation Functionals – the MOBH35 Benchmark Dataset

10.26434/chemrxiv.7732262.v1 ◽

2019 ◽

Author(s):

Mark Iron ◽

Trevor Janes

Keyword(s):

Transition Metal ◽

Density Functional ◽

Computational Cost ◽

Basis Set ◽

Functional Theory ◽

Exchange Correlation ◽

Barrier Heights ◽

Complete Basis Set ◽

A new database of transition metal reaction barrier heights – MOBH35 – is presented. Benchmark energies (forward and reverse barriers and reaction energy) are calculated using DLPNO-CCSD(T) extrapolated to the complete basis set limit using a Weizmann1-like scheme. Using these benchmark energies, the performance of a wide selection of density functional theory (DFT) exchange–correlation functionals, including the latest from the Truhlar and Head-Gordon groups, is evaluated. It was found, using the def2-TZVPP basis set, that the ωB97M-V (MAD 1.8 kcal/mol), ωB97X-V (MAD 2.1 kcal/mol) and SCAN0 (MAD 2.1 kcal/mol) hybrid functionals are recommended. The double-hybrid functionals PWPB95 (MAD 1.6 kcal/mol) and B2K-PLYP (MAD 1.8 kcal/mol) did perform slightly better but this has to be balanced by their increased computational cost.

Evaluating Transition Metal Barrier Heights with the Latest DFT Exchange–Correlation Functionals – the MOBH35 Benchmark Dataset

10.26434/chemrxiv.7732262.v2 ◽

2019 ◽

Author(s):

Mark Iron ◽

Trevor Janes

Keyword(s):

Transition Metal ◽

Density Functional ◽

Computational Cost ◽

Basis Set ◽

Functional Theory ◽

Exchange Correlation ◽

Barrier Heights ◽

Complete Basis Set ◽

A new database of transition metal reaction barrier heights – MOBH35 – is presented. Benchmark energies (forward and reverse barriers and reaction energy) are calculated using DLPNO-CCSD(T) extrapolated to the complete basis set limit using a Weizmann1-like scheme. Using these benchmark energies, the performance of a wide selection of density functional theory (DFT) exchange–correlation functionals, including the latest from the Truhlar and Head-Gordon groups, is evaluated. It was found, using the def2-TZVPP basis set, that the ωB97M-V (MAD 1.8 kcal/mol), ωB97X-V (MAD 2.1 kcal/mol) and SCAN0 (MAD 2.1 kcal/mol) hybrid functionals are recommended. The double-hybrid functionals PWPB95 (MAD 1.6 kcal/mol) and B2K-PLYP (MAD 1.8 kcal/mol) did perform slightly better but this has to be balanced by their increased computational cost.

Evaluating Transition Metal Barrier Heights with the Latest DFT Exchange–Correlation Functionals – the MOBH35 Benchmark Dataset

10.26434/chemrxiv.7732262 ◽

2019 ◽

Author(s):

Mark Iron ◽

Trevor Janes

Keyword(s):

Transition Metal ◽

Density Functional ◽

Computational Cost ◽

Basis Set ◽

Functional Theory ◽

Exchange Correlation ◽

Barrier Heights ◽

Complete Basis Set ◽

A new database of transition metal reaction barrier heights – MOBH35 – is presented. Benchmark energies (forward and reverse barriers and reaction energy) are calculated using DLPNO-CCSD(T) extrapolated to the complete basis set limit using a Weizmann1-like scheme. Using these benchmark energies, the performance of a wide selection of density functional theory (DFT) exchange–correlation functionals, including the latest from the Truhlar and Head-Gordon groups, is evaluated. It was found, using the def2-TZVPP basis set, that the ωB97M-V (MAD 1.8 kcal/mol), ωB97X-V (MAD 2.1 kcal/mol) and SCAN0 (MAD 2.1 kcal/mol) hybrid functionals are recommended. The double-hybrid functionals PWPB95 (MAD 1.6 kcal/mol) and B2K-PLYP (MAD 1.8 kcal/mol) did perform slightly better but this has to be balanced by their increased computational cost.

On the accuracy of density-functional theory exchange-correlation functionals for H bonds in small water clusters: Benchmarks approaching the complete basis set limit

The Journal of Chemical Physics ◽

10.1063/1.2790009 ◽

2007 ◽

Vol 127 (18) ◽

pp. 184104 ◽

Cited By ~ 177

Author(s):

Biswajit Santra ◽

Angelos Michaelides ◽

Matthias Scheffler

Keyword(s):

Density Functional Theory ◽

Density Functional ◽

Water Clusters ◽

Basis Set ◽

Functional Theory ◽

Exchange Correlation ◽

Small Water ◽

Complete Basis ◽

Complete Basis Set ◽

Complete Basis Set Limit

How accurate are static polarizability predictions from density functional theory? An assessment over 132 species at equilibrium geometry

Physical Chemistry Chemical Physics ◽

10.1039/c8cp03569e ◽

2018 ◽

Vol 20 (30) ◽

pp. 19800-19810 ◽

Cited By ~ 31

Author(s):

Diptarka Hait ◽

Martin Head-Gordon

Keyword(s):

Density Functional Theory ◽

Electron Density ◽

Excited States ◽

Electric Fields ◽

Density Functional ◽

Equilibrium Geometry ◽

Static Polarizability ◽

Functional Theory ◽

First Response ◽

Benchmark Database

Static polarizabilities are the first response of the electron density to electric fields, and offer a formally exact measure of the accuracy of excited states. We have developed a benchmark database of polarizabilities and have assessed the performance of 60 popular and recent functionals in predicting them.