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Analytical gradients of the second-order Møller–Plesset energy using Cholesky decompositions

Boström, Jonas (author)
Lund University,Lunds universitet,Beräkningskemi,Enheten för fysikalisk och teoretisk kemi,Kemiska institutionen,Institutioner vid LTH,Lunds Tekniska Högskola,Computational Chemistry,Physical and theoretical chemistry,Department of Chemistry,Departments at LTH,Faculty of Engineering, LTH
Veryazov, Valera (author)
Lund University,Lunds universitet,Beräkningskemi,Enheten för fysikalisk och teoretisk kemi,Kemiska institutionen,Institutioner vid LTH,Lunds Tekniska Högskola,Computational Chemistry,Physical and theoretical chemistry,Department of Chemistry,Departments at LTH,Faculty of Engineering, LTH
Aquilante, Francesco (author)
Uppsala universitet,Teoretisk kemi
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Bondo Pedersen, Thomas (author)
Lindh, Roland (author)
Uppsala universitet,Teoretisk kemi,Uppsala Center for Computational Chemistry, Uppsala University, Uppsala, Sweden
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 (creator_code:org_t)
2013-10-25
2014
English.
In: International Journal of Quantum Chemistry. - : Wiley. - 0020-7608 .- 1097-461X. ; 114:5, s. 321-327
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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 (Jurečka 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.

Subject headings

NATURVETENSKAP  -- Kemi -- Teoretisk kemi (hsv//swe)
NATURAL SCIENCES  -- Chemical Sciences -- Theoretical Chemistry (hsv//eng)

Keyword

Cholesky decomposition
density fitting
MP2
analytic gradients
Cholesky decomposition
density fitting
MP2
analytic gradients

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art (subject category)

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