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Special Issue "Recent Advances in Coupled Cluster Theory"

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A special issue of International Journal of Molecular Sciences (ISSN 1422-0067). This special issue belongs to the section "Physical Chemistry, Theoretical and Computational Chemistry".

Deadline for manuscript submissions: closed (28 February 2002)

Special Issue Editor

Guest Editor
Prof. Dr. Sourav Pal (Website)

Physical Chemistry Division, National Chemical Laboratory, Pune 411 008, India
Fax: +91 20 25893044
Interests: electronic structure and spectra; quantum chemistry; ab initio molecular dynamics; coupled-cluster theory; reactivity descriptors; local hard-soft-acid-base principle; local softness and fukui function

Published Papers (9 papers)

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Editorial

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Open AccessEditorial Special Issue on Recent Advances in Coupled Cluster Theory
Int. J. Mol. Sci. 2002, 3(5), 445-446; doi:10.3390/i3050445
Received: 15 April 2002 / Published: 31 May 2002
PDF Full-text (15 KB) | HTML Full-text | XML Full-text
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)

Research

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Open AccessArticle Time Dependent Coupled Cluster Approach to Resonance Raman Excitation Profiles from General Anharmonic Surfaces
Int. J. Mol. Sci. 2002, 3(5), 447-458; doi:10.3390/i3050447
Received: 15 November 2001 / Accepted: 3 January 2002 / Published: 31 May 2002
Cited by 6 | PDF Full-text (66 KB) | HTML Full-text | XML Full-text
Abstract
A time dependent coupled cluster approach to the calculation of Resonance Raman excitation profiles on general anharmonic surfaces is presented. The vibrational wave functions on the ground electronic surface are obtained by the coupled cluster method (CCM). It is shown that the [...] Read more.
A time dependent coupled cluster approach to the calculation of Resonance Raman excitation profiles on general anharmonic surfaces is presented. The vibrational wave functions on the ground electronic surface are obtained by the coupled cluster method (CCM). It is shown that the propagation of the vibrational ground state on the upper surface is equivalent to propagation of the vacuum state by an effective hamiltonian generated by the similarity transformation of the vibrational hamiltonian of that surface by the CCM wave operator of the lower surface up to a normalization constant. This time propagation is carried out by the time-dependent coupled cluster method in a time dependent frame. Numerical studies are presented to asses the validity of the approach. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle New Transcorrelated Method Improving the Feasibility of Explicitly Correlated Calculations
Int. J. Mol. Sci. 2002, 3(5), 459-474; doi:10.3390/i3050459
Received: 18 September 2001 / Accepted: 14 December 2001 / Published: 31 May 2002
Cited by 12 | PDF Full-text (166 KB) | HTML Full-text | XML Full-text
Abstract
We recently developed an explicitly correlated method using the transcorrelated Hamiltonian, which is preliminarily parameterized in such a way that the Coulomb repulsion is compensated at short inter-electronic distances. The extra part of the effective Hamiltonian features short-ranged, size-consistent, and state-universal. The [...] Read more.
We recently developed an explicitly correlated method using the transcorrelated Hamiltonian, which is preliminarily parameterized in such a way that the Coulomb repulsion is compensated at short inter-electronic distances. The extra part of the effective Hamiltonian features short-ranged, size-consistent, and state-universal. The localized and frozen nature of the correlation factor makes the enormous three-body interaction less important and enables us to bypass the complex nonlinear optimization. We review the basic strategy of the method mainly focusing on the applications to single-reference many electron theories using modified Møller-Plesset partitioning and biorthogonal orbitals. Benchmark calculations are performed for 10-electron systems with a series of basis sets. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle Method of Moments of Coupled-Cluster Equations: Externally Corrected Approaches Employing Configuration Interaction Wave Functions
Int. J. Mol. Sci. 2002, 3(5), 475-497; doi:10.3390/i3050475
Received: 29 December 2001 / Accepted: 5 February 2002 / Published: 31 May 2002
Cited by 13 | PDF Full-text (153 KB)
Abstract
A new approach to the many-electron correlation problem, termed the method of moments of coupled-cluster equations (MMCC), is further developed and tested. The main idea of the MMCC theory is that of the noniterative energy corrections which, when added to the energies [...] Read more.
A new approach to the many-electron correlation problem, termed the method of moments of coupled-cluster equations (MMCC), is further developed and tested. The main idea of the MMCC theory is that of the noniterative energy corrections which, when added to the energies obtained in the standard coupled-cluster calculations, recover the exact (full configuration interaction) energy. The MMCC approximations require that a guess is provided for the electronic wave function of interest. The idea of using simple estimates of the wave function, provided by the inexpensive configuration interaction (CI) methods employing small sets of active orbitals to define higher–than–double excitations, is tested in this work. The CI-corrected MMCC methods are used to study the single bond breaking in HF and the simultaneous breaking of both O–H bonds in H2O. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle Potential Functions of Al2 by the Relativistic Fock-Space Coupled Cluster Method
Int. J. Mol. Sci. 2002, 3(5), 498-507; doi:10.3390/i3050498
Received: 4 December 2001 / Accepted: 4 February 2002 / Published: 31 May 2002
Cited by 2 | PDF Full-text (102 KB) | HTML Full-text | XML Full-text
Abstract
Potential functions of the ground and low excited states of Al2 are calculated by the relativistic Fock-space coupled cluster method in the framework of the projected Dirac-Coulomb Hamiltonian. A moderate-size basis [16s11p3d3f/6s6p3d2f] is used. 3Πu is confirmed as the [...] Read more.
Potential functions of the ground and low excited states of Al2 are calculated by the relativistic Fock-space coupled cluster method in the framework of the projected Dirac-Coulomb Hamiltonian. A moderate-size basis [16s11p3d3f/6s6p3d2f] is used. 3Πu is confirmed as the ground state of the system. Its spin orbit splittings are reproduced well, with the Λ = 1, 2 states lying 32.5 and 66.1 cm−1, respectively, above the Λ = 0 minimum (experimental values are 30.4 and 63.4 cm−1). The bond is somewhat too weak, with De 0.14 eV below experiment, Re too high by 0.08 ˚A, and ωe 21 cm−1 too low. It is speculated that the better agreement obtained in earlier calculations may be due to neglect of basis set superposition errors. The description of bonding in the molecule may be improved by the use of a better basis and the inclusion of more correlation by the intermediate Hamiltonian coupled cluster method, which makes it possible to handle larger P spaces and extend the potential functions to the whole range of internuclear separations. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle On the Use of Connected Moments Expansion with Coupled Cluster Reference
Int. J. Mol. Sci. 2002, 3(5), 508-521; doi:10.3390/i3050508
Received: 6 December 2001 / Accepted: 18 January 2002 / Published: 31 May 2002
Cited by 3 | PDF Full-text (110 KB)
Abstract
We examine the possibility of introducing a new class of so called noniterative corrections to coupled cluster energies, based on the connected moments expansion (CMX). Approximate Coupled Cluster (CC) wave functions are used as reference states and then the “improved energies” can [...] Read more.
We examine the possibility of introducing a new class of so called noniterative corrections to coupled cluster energies, based on the connected moments expansion (CMX). Approximate Coupled Cluster (CC) wave functions are used as reference states and then the “improved energies” can be formally obtained either by CMX in terms of the moments of CC similarity transformed Hamiltonian, or in CMX of the usual Hamiltonian. Numerical results are given for some model systems that show the superiority of the latter approach. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle Alternative Multi–reference State–specific Coupled Cluster Wave Functions
Int. J. Mol. Sci. 2002, 3(5), 522-549; doi:10.3390/i3050522
Received: 15 October 2001 / Accepted: 18 February 2002 / Published: 31 May 2002
Cited by 13 | PDF Full-text (150 KB)
Abstract
An analysis of alternative expressions of the state–specific (SS) multi–reference (MR) coupled cluster (CC) wave functions is presented. The approach utilizes the CASSCF (complete active space self consistent field) wave function as the reference. It is designed specifically for calculating excited electronic [...] Read more.
An analysis of alternative expressions of the state–specific (SS) multi–reference (MR) coupled cluster (CC) wave functions is presented. The approach utilizes the CASSCF (complete active space self consistent field) wave function as the reference. It is designed specifically for calculating excited electronic states. The cluster structure of the CC wave operator and the origin(s) for the cluster expansion(s) are the key features of the development. Test calculations reveal some interesting features of the SMRCC approaches. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle Use of a New Cluster Ansatz to Treat Strong Relaxation and Correlation Effects: A Direct Method for Energy Differences
Int. J. Mol. Sci. 2002, 3(5), 550-569; doi:10.3390/i3050550
Received: 11 January 2002 / Accepted: 3 February 2002 / Published: 31 May 2002
Cited by 4 | PDF Full-text (160 KB)
Abstract
We have presented in this paper a new cluster Ansatz for the wave operator for open-shell and/or quasidegenerate states, which takes care of strong relaxation and correlation effects in a compact and efficient manner. This Ansatz allows contraction among the various cluster [...] Read more.
We have presented in this paper a new cluster Ansatz for the wave operator for open-shell and/or quasidegenerate states, which takes care of strong relaxation and correlation effects in a compact and efficient manner. This Ansatz allows contraction among the various cluster operators via spectator orbitals, accompanied by suitable combinatorial factors. Since both the orbital and the correlation relaxations are treated on the same footing, it allows us to develop a very useful direct method for energy differences for open shell states relative to a closed-shell ground state, where the total charge for the two states may differ. We have discussed a new spin-free coupled cluster (CC) based direct method and illustrated its performance by evaluating electron affinity of a neutral doublet radical. We have also indicated how the scope of the theory can be extended to compute the state energies of simple open shell configurations as well. In that case, the CC equations terminate after the quartic power of cluster operators – exactly as in the closed-shell situation, which is not the case for the current methods. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)
Open AccessArticle On the Estimation of the Remainder Term in Møller-Plesset MP2 Theory from Limited Configuration Interaction
Int. J. Mol. Sci. 2002, 3(5), 570-578; doi:10.3390/i3050570
Received: 27 September 2001 / Accepted: 9 January 2002 / Published: 31 May 2002
PDF Full-text (79 KB)
Abstract
In a previous paper, we have avoided an infinite order perturbation expansion and obtained a closed expression which consists of the second-order Møller-Plesset energy component together with a remainder term. The applicabilty of second-order many-body perturbation theory with a Møller-Plesset reference hamiltonian [...] Read more.
In a previous paper, we have avoided an infinite order perturbation expansion and obtained a closed expression which consists of the second-order Møller-Plesset energy component together with a remainder term. The applicabilty of second-order many-body perturbation theory with a Møller-Plesset reference hamiltonian then rests upon the magnitude of this remainder term rather than the behaviour of the higher order terms on the perturbation series. In the present work, we show how this remainder term can be estimated by limited configuration interaction. Full article
(This article belongs to the Special Issue Recent Advances in Coupled Cluster Theory)

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