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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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Published on: April 8, 2020

An Energy-Corrected Fast Post-SCF Local-Hybrid Scheme for Highly Accurate Energy Differences of Large Main-Group

Artur Wodyński¹, Martin Kaupp¹

¹Institute of Chemistry, Theoretical Chemistry/Quantum Chemistry, Technische Universität Berlin, Berlin, Germany.

Journal of Computational Chemistry

|June 16, 2026

Summary

We introduce an energy-corrected local-hybrid (EC(LH)@(m)GGA) framework. This method achieves high accuracy for large systems at a reduced computational cost, making advanced local hybrids more accessible.

Keywords:

DFT local hybrid functionals neural‐network local mixing function strong‐correlation factor zero‐sum game

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Area of Science:

Computational chemistry
Quantum chemistry
Density Functional Theory (DFT)

Background:

Local-hybrid (LH) density functionals offer a balance between reducing self-interaction errors and modeling static correlation.
The computational cost of exact-exchange evaluation in LH functionals limits their application to large systems.

Purpose of the Study:

To develop a computationally efficient framework for advanced local-hybrid functionals.
To enable the application of high-accuracy LH functionals to large-scale systems.

Main Methods:

Introduction of an energy-corrected local-hybrid (EC(LH)@(m)GGA) framework.
Utilizing a computationally inexpensive semi-local reference density for a single post-Self-Consistent Field (SCF) evaluation.
Employing the neural-network-based LH25nP LH as a prototype.

Main Results:

The EC(LH)@(m)GGA framework, using GGA or meta-GGA orbitals, maintains the accuracy of the parent LH functional.
Achieved state-of-the-art rung 4 performance on the GMTKN55 test suite (WTMAD-2 ~2.4-2.7 kcal/mol).
Retained high performance for spin-restricted bond dissociation, a measure of static correlation.
Computational cost is approximately 2-3 times that of a GGA single point calculation, significantly less than full LH SCF.

Conclusions:

EC(LH)@(m)GGA provides a post-SCF route to achieve high-accuracy energetics comparable to advanced LH functionals.
This framework offers a practical and cost-effective solution for applying accurate DFT methods to large systems.