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Updated: Jun 20, 2026

Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with
Masato Kobayashi1, Hiromi Nakai
1Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan.
Abstract:
We have reported the divide-and-conquer (DC)-based linear-scaling correlation treatment of coupled-cluster method with single and double excitations (CCSD) [Kobayashi and Nakai, J. Chem. Phys. 129, 044103 (2009)]. In the DC-CCSD method, the CCSD equations derived from subsystem orbitals are solved for each subsystem in order to obtain the total correlation energy by summing up subsystem contributions using energy density analysis. In this study, we extend the DC-CCSD method for treating noniterative perturbative triple excitations using CCSD T(1) and T(2) amplitudes, namely, CCSD(T). In the DC-CCSD(T) method, the so-called (T) corrections are also computed for each subsystem. Numerical assessments indicate that DC-CCSD(T) reproduces the CCSD(T) results with high accuracy and significantly less computational cost. We further extend the DC-based correlation method to renormalized CCSD(T) [Kowalski and Piecuch, J. Chem. Phys. 113, 18 (2000)] for avoiding the divergence that occurs in multireference problems such as bond dissociation.
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