Christof Hättig and Florian Weigend
Universität Karlsruhe (TH), Institut für Pysikalische Chemie, Lehrstuhl für Theoretische Chemie, Kaiserstrasse 12, D-76128 Karlsruhe, Germany

J. Chem. Phys. 113, 5154-5161 (2000).
(Received 10 April 2000; accepted 7 July 2000)

A new implementation of the approximate coupled cluster singles and doubles method CC2 is reported, which is suitable for large scale integral-direct calculations. It employs the resolution of the identity (RI) approximation for two-electron integrals to reduce the CPU time needed for calculation and I/O of these integrals. We use a partitioned form of the CC2 equations which eliminates the need to store double excitation cluster amplitudes. In combination with the RI approximation this formulation of the CC2 equations leads to a reduced scaling of memory and disc space requirements with the number of correlated electrons (n) and basis functions (N) to, respectively, O(N²) and O(n N²), compared to O(n² N²) in previous implementations. The reduced CPU, memory and disc space requirements make it possible to perform CC2 calculations with accurate basis sets on large molecules, which would not be accessible with conventional implementations of the CC2 method. We present an application to vertical excitation energies of alkenes C_2nH_2n+2, for n = 1 – 12, and report results for the lowest lying dipole-allowed transitions for the TZVPP basis sets, which for n = 12 contain 1108 basis functions. Comparison with conventional CC2 results for the smaller alkenes show that for CC2 ground state energies and for excitation energies for valence states, the error due to the RI approximation is negligible compared to the usual basis set error, if auxiliary basis sets are used which have been optimized for MP2 energy calculations.

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• Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations
  
  
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• First-order properties for triplet excited states in the approximated coupled cluster model CC2 using an explicitly spin coupled basis
  
  
• Transition moments and excited state first-order properties in the coupled-cluster model CC2 using the resolution-of-the-identity approximation
  
  
• Comment on: ``Efficient calculation of canonical MP2 energies'', [P. Pulay, S. Saebø, K. Wolinski, Chem. Phys. Lett. 344 (2001) 543--552]
  
  
• Geometry optimizations with the coupled-cluster model CC2 using the resolution-of-the-identity approximation
  
  

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