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Analytical gradients of the second‐order Møller–Plesset energy using Cholesky decompositions
Authors:Jonas Boström  Valera Veryazov  Francesco Aquilante  Thomas Bondo Pedersen  Roland Lindh
Affiliation:1. Department of Theoretical Chemistry, Chemical Center, Lund University, , S‐221 00 Lund, Sweden;2. Department of Chemistry–?ngstr?m, The Theoretical Chemistry Programme, Uppsala University, , SE‐751 20 Uppsala, Sweden;3. Department of Chemistry, Centre for Theoretical and Computational Chemistry, University of Oslo, , Blindern, N‐0315 Oslo, Norway;4. Uppsala Center for Computational Chemistry, Uppsala University, , SE‐751 20 Uppsala, Sweden
Abstract:An algorithm for computing analytical gradients of the second‐order Møller–Plesset (MP2) energy using density fitting (DF) is presented. The algorithm assumes that the underlying canonical Hartree–Fock reference is obtained with the same auxiliary basis set, which we obtain by Cholesky decomposition (CD) of atomic electron repulsion integrals. CD is also used for the negative semidefinite MP2 amplitude matrix. Test calculations on the weakly interacting dimers of the S22 test set (Jure?ka et al., Phys. Chem. Chem. Phys. 2006, 8, 1985) show that the geometry errors due to the auxiliary basis set are negligible. With double‐zeta basis sets, the error due to the DF approximation in intermolecular bond lengths is better than 0.1 pm. The computational time is typically reduced by a factor of 6–7. © 2013 Wiley Periodicals, Inc.
Keywords:Cholesky decomposition  density fitting  MP2  analytic gradients
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