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Updated: May 25, 2025

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Enabling Accurate and Large-Scale Explicitly Correlated CCSD(T) Computations via a Reduced-Cost and Parallel
Bence Ladóczki1,2,3, László Gyevi-Nagy1,2,3, Péter R Nagy1,2,3
1Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary.
New parallel algorithms accelerate explicitly correlated coupled-cluster (CC) and Møller-Plesset perturbation theory (MP2) calculations. This enables highly accurate computational chemistry for large molecules, improving accuracy-over-cost performance.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Molecular Modeling
Background:
- Explicitly correlated coupled-cluster (CC) and Møller-Plesset perturbation theory (MP2) methods provide high accuracy for molecular electronic structure.
- Scaling limitations of these methods hinder their application to large molecular systems.
Purpose of the Study:
- To develop and benchmark parallel algorithms for accelerating explicitly correlated MP2 and CC calculations.
- To enable accurate computational chemistry for extended molecular systems.
Main Methods:
- A hybrid Open Multi-Processing (OpenMP)/Message Passing Interface (MPI) parallel approach was employed.
- Density fitting formalism and local correlation approximations (frozen natural orbital, natural auxiliary function, natural auxiliary basis) were utilized.
- Explicitly correlated triples correction was incorporated.
Main Results:
- The developed algorithms demonstrate excellent parallel scaling on hundreds of processor cores.
- Highly accurate explicitly correlated CC calculations were achieved for systems previously beyond computational limits (e.g., 60 atoms, 2500 orbitals).
- The approach offers superior accuracy-over-cost performance compared to existing explicitly correlated CC methods.
Conclusions:
- The new parallel algorithms significantly enhance the feasibility of high-accuracy electronic structure calculations for large molecules.
- This work facilitates benchmarking of other methods and advances thermochemistry protocols for larger systems.
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