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Journal ArticleDOI

The equilibrium structure and harmonic vibrational frequencies of ozone: coupled cluster results including triple excitations

TLDR
In this article, the authors applied the highly correlated CCSDT•2 model of electron correlation to computation of the equilibrium geometry and harmonic vibrational frequencies of O3 and obtained a value of 1182 cm−1, in reasonable agreement with the experimental value of 1089 cm− 1, and considerably better than values obtained with other methods which make more approximations in treating T3.
Abstract
The highly correlated CCSDT‐2 model of electron correlation is applied to computation of the equilibrium geometry and harmonic vibrational frequencies of O3. Comparison of the present results with those of a recent study [J. F. Stanton, W. N. Lipscomb, D. H. Magers, and R. J. Bartlett, J. Chem. Phys. 90, 1077 (1989)] reveal the importance of certain simultaneous three‐particle correlation effects (T3) which enter perturbation theory in fifth and higher orders, particularly for asymmetric structures of ozone and, consequently, the B2 stretching frequency. The CCSDT‐2 value for ω3 is 1182 cm−1, in reasonable agreement with the experimental value of 1089 cm−1, and considerably better than values obtained with other methods which make more approximations in treating T3. To treat this difficult problem, it appears to be necessary to include terms involving T3 which are nonlinear in the cluster amplitudes into the CC equations.

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Citations
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Journal ArticleDOI

Non-iterative fifth-order triple and quadruple excitation energy corrections in correlated methods

TL;DR: In this paper, a non-iterative method is presented to evaluate the full set of fifth-order corrections to CCSD and QCISD and assess their accuracy compared to full CI for the very sensitive Be 2 curve and other cases.
Journal ArticleDOI

Comparison of coupled-cluster methods which include the effects of connected triple excitations

TL;DR: In this paper, the authors used the coupled cluster single, double, and triple excitation model to ascertain electron correlation energies for 14 different molecules representing a variety of chemical bonds, in conjunction with several methods of this type 'CCSDT-x', which include only an approximate treatment of connected triple excitations.
Journal ArticleDOI

Coupling term derivation and general implementation of state-specific multireference coupled cluster theories

TL;DR: Comparison with experimental data shows that the Mukherjee method is generally superior to the Brillouin-Wigner theory in predicting energies, structures, and vibrational frequencies.
Journal ArticleDOI

Analytic evaluation of energy gradients for the singles and doubles coupled cluster method including perturbative triple excitations: Theory and applications to FOOF and Cr2

TL;DR: In this paper, the analytic energy gradient for the singles and doubles coupled cluster method including a perturbative correction due to triple excitations [CCSD(T)] is formulated and computationally implemented.
Book ChapterDOI

Applications of Post‐Hartree—Fock Methods: A Tutorial

TL;DR: In this paper, a tutorial on the intelligent use of post-Hartree-Fock (correlated) methods for the determination of molecular structure and spectra is presented. But, the ease of using these programs and their officiallooking output can mask many difficult situations that might not be recognized by users, resulting in misinterpretation of computational results.
References
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Journal ArticleDOI

Many-Body Perturbation Theory and Coupled Cluster Theory for Electron Correlation in Molecules

TL;DR: Manybody perturbation theory (MBPT) and coupled-cluster methcoder (CCM) were defined in this paper as a subset of the N-body problem.
Journal ArticleDOI

The full CCSDT model for molecular electronic structure

TL;DR: In this article, the full coupled-cluster model (CCSDT) single, double, and triple excitation method defined by the wave function exp(T1+T2+T3)
Journal ArticleDOI

Towards a full CCSDT model for electron correlation

TL;DR: In this article, the effects of single, double, and triple excitation operators on electron correlation were analyzed and an alternate version of the approximate CCSDT•1 method was implemented.
Journal ArticleDOI

A new implementation of the full CCSDT model for molecular electronic structure

TL;DR: A new implementation of the coupled cluster method including all single, double, triple and quadruple excitations (designated CCSDT) has been developed and carefully tested.
Journal ArticleDOI

Towards a full CCSDT model for electron correlation. CCSDT-n models

TL;DR: In this article, the first numerical results using two extended coupled cluster models that include triple excitations were reported and compared to full CI for several systems, and the results showed that these methods are superior to CCSDT-1 when the reference function is poor, such as in bond breaking cases.
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