Geometry optimizations with the coupled-cluster model CC2 using the resolution-of-the-identity approximation

Christof Hättig
Forschungszentrum Karlsruhe, Institute of Nanotechnology, P.O. Box 3640, D-76021 Karlsruhe, Germany

J. Chem. Phys. 118, 7751-7761 (2003).
(Received 30 July 2002; accepted 5 February 2003)

An implementation of the gradient of the second-order coupled-cluster singles-and-doubles model CC2 is reported, which employs the resolution-of-the-identity (RI) approximation for electron repulsion integrals. The performance of the CC2 model for ground state equilibrium geometries is investigated and compared with experiment and other ab initio methods. It is found that CC2 equilibrium geometries have a similar accuracy as those calculated with second-order Møller-Plesset perturbation theory (MP2), but bond lengths are larger. In particular, double and triple bonds and bonds in electron-rich compounds are elongated by 0.5 - 1.5 pm. Thereby CC2 slightly outperforms MP2 for single bonds, in particular in electron-rich compounds, but for strong double and triple bonds CC2 is somewhat inferior to MP2. The results for harmonic frequencies go in parallel with the results for equilibrium structures. The error introduced by the RI approximation is found to be negligible compared to the remaining one-electron basis set error, if optimized auxiliary basis set are used. Typically, the RI error in bond lengths is of the order of 10-3 pm and the error in angles 10-3 - 10-2 deg. Applications are reported for the geometry of trans-azobenzene and for the geometry and harmonic frequencies of cis,trans-1,4-difluorobutadiene.

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