In this work, the extension of the previously developed domain based local pair-natural orbital (DLPNO) based singles- and doubles coupled cluster (DLPNO-CCSD) method to perturbatively include connected triple excitations is reported. The development is based on the concept of triples-natural orbitals that span the joint space of the three pair natural orbital (PNO) spaces of the three electron pairs that are involved in the calculation of a given triple-excitation contribution. The truncation error is very smooth and can be significantly reduced through extrapolation to the zero threshold. However, the extrapolation procedure does not improve relative energies. The overall computational effort of the method is asymptotically linear with the system size O(N). Actual linear scaling has been confirmed in test calculations on alkane chains. The accuracy of the DLPNO-CCSD(T) approximation relative to semicanonical CCSD(T0) is comparable to the previously developed DLPNO-CCSD method relative to canonical CCSD. Relative energies are predicted with an average error of approximately 0.5 kcal/mol for a challenging test set of medium sized organic molecules. The triples correction typically adds 30%–50% to the overall computation time. Thus, very large systems can be treated on the basis of the current implementation. In addition to the linear C150H302 (452 atoms, >8800 basis functions) we demonstrate the first CCSD(T) level calculation on an entire protein, Crambin with 644 atoms, and more than 6400 basis functions.
Natural triple excitations in local coupled cluster calculations with pair natural orbitals
Present address: Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA.
Present address: Frick Laboratory, Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.
Present address: Mulliken Center for Theoretical Chemistry der Universität Bonn, Beringstraße 4-6, D-53115 Bonn, Germany.
Christoph Riplinger, Barbara Sandhoefer, Andreas Hansen, Frank Neese; Natural triple excitations in local coupled cluster calculations with pair natural orbitals. J. Chem. Phys. 7 October 2013; 139 (13): 134101. https://doi.org/10.1063/1.4821834
Download citation file: