Abstract

The coupled-cluster singles and doubles model (CCSD) is derived algebraically, presenting the full set of equations for a general reference function explicitly in spin–orbital form. The computational implementation of the CCSD model, which involves cubic and quartic terms, is discussed and results are reported and compared with full CI calculations for H2O and BeH2. We demonstrate that the CCSD exponential ansatz sums higher-order correlation effects efficiently even for BeH2, near its transition state geometry where quasidegeneracy efforts are quite large, recovering 98% of the full CI correlation energy. For H2O, CCSD plus the fourth-order triple excitation correction agrees with the full CI energy to 0.5 kcal/mol. Comparisons with low-order models provide estimates of the effect of the higher-order terms T1T2, T21T2, T31, and T41 on the correlation energy.

Keywords

Coupled clusterQuartic functionAnsatzPhysicsExponential functionFunction (biology)Order (exchange)Cluster (spacecraft)ExcitationCorrelation function (quantum field theory)Mathematical physicsMathematicsAtomic physicsChemistryQuantum mechanicsMoleculeMathematical analysisPure mathematics

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Publication Info

Year
1982
Type
article
Volume
76
Issue
4
Pages
1910-1918
Citations
6321
Access
Closed

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George D. Purvis, Rodney J. Bartlett (1982). A full coupled-cluster singles and doubles model: The inclusion of disconnected triples. The Journal of Chemical Physics , 76 (4) , 1910-1918. https://doi.org/10.1063/1.443164

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DOI
10.1063/1.443164