Abstract:Articles you may be interested inBlock correlated coupled cluster theory with a complete active-space self-consistent-field reference function: The formulation and test applications for single bond breaking On the ground states of CaC and ZnC: A multireference Brillouin-Wigner coupled cluster study J. Chem. Phys. 117, 9733 (2002); 10.1063/1.1516809 Brillouin-Wigner coupled cluster theory. Fock-space approachRecently developed single-root multireference Brillouin-Wigner coupled-cluster ͑MR BWCC͒ theory, which d… Show more
“…To avoid the intruder states, the SS-MRCC approach [87][88][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103], which treats one state at a time with a state-specific wave operator, has been developed. Existing SS-MRCC methods include, for example, Mk-CCSD [78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95], single-root MR BWCCSD [96][97][98][99][100][101], and MRexpT [102,103]. These methods have been shown to give quite accurate descriptions for electronic structures of molecules with strong multireference character.…”
Abstract:We have presented in this chapter the general formalism of block correlated coupled cluster method with a CASSCF reference function (CAS-BCCC in short) and a number of its applications for electronic structure calculations of molecules with multireference character. The CAS-BCCC method has the following features: (1) free of the intruder states; (2) invariant with respect to orbital rotations within separated orbital subspaces (occupied, active, and virtual); (3) cost-effective; (4) core-extensive, but not size-extensive with respect to the total number of electrons. With the cluster operator truncated up to the four-block correlation level, the approximate CAS-BCCC method is named as CAS-BCCC4. The CAS-BCCC4 method is applied to investigate a number of chemical problems such as bond breaking potential energy surfaces, singlet-triplet gaps of diradicals, reaction barriers, spectroscopic constants of diatomic molecules, and low-lying excited states. Comparisons between results from CAS-BCCC4 and those from FCI or other theoretical methods demonstrate that the CAS-BCCC4 approach provides very accurate descriptions for all problems under study. The overall performance of CAS-BCCC4 is illustrated to be better than that of CASPT2 and MR-CISD methods.
“…To avoid the intruder states, the SS-MRCC approach [87][88][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103], which treats one state at a time with a state-specific wave operator, has been developed. Existing SS-MRCC methods include, for example, Mk-CCSD [78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95], single-root MR BWCCSD [96][97][98][99][100][101], and MRexpT [102,103]. These methods have been shown to give quite accurate descriptions for electronic structures of molecules with strong multireference character.…”
Abstract:We have presented in this chapter the general formalism of block correlated coupled cluster method with a CASSCF reference function (CAS-BCCC in short) and a number of its applications for electronic structure calculations of molecules with multireference character. The CAS-BCCC method has the following features: (1) free of the intruder states; (2) invariant with respect to orbital rotations within separated orbital subspaces (occupied, active, and virtual); (3) cost-effective; (4) core-extensive, but not size-extensive with respect to the total number of electrons. With the cluster operator truncated up to the four-block correlation level, the approximate CAS-BCCC method is named as CAS-BCCC4. The CAS-BCCC4 method is applied to investigate a number of chemical problems such as bond breaking potential energy surfaces, singlet-triplet gaps of diradicals, reaction barriers, spectroscopic constants of diatomic molecules, and low-lying excited states. Comparisons between results from CAS-BCCC4 and those from FCI or other theoretical methods demonstrate that the CAS-BCCC4 approach provides very accurate descriptions for all problems under study. The overall performance of CAS-BCCC4 is illustrated to be better than that of CASPT2 and MR-CISD methods.
“…Following Ref 19,. The third possible approach relies on the Brillouin-Wigner ͑BW͒ form of MR CC equations[61][62][63][64][65][66][67][68] This approach was recently implemented in general purpose codes by Evangelista et al59,60 and applied to a number of systems, including diradicaloid species.…”
The performance of (i) the reduced multireference (RMR) coupled-cluster (CC) method with singles and doubles (RMR CCSD) that employs a modest-size MR CISD wave function as an external source for the most important (primary) triples and quadruples in order to account for the nondynamic correlation effects in the presence of quasidegeneracy, (ii) the RMR CCSD(T) method that adds a perturbative correction for the remaining (secondary) triples to the RMR CCSD energy, and (iii) the recently developed partially linearized MR CCSD method, which determines primary triples and quadruples using a subset of linear CC equations projected onto the corresponding higher-than-doubly excited configurations, are tested by considering the singlet-triplet splitting for several diradicals, ranging from a prototypical methylene radical to trimethylenemethane, and benzyne and pyridynium cation isomers. Both RHF and multiconfigurational self-consistent field molecular orbitals are employed. The equilibrium geometries for the lowest-lying singlet and triplet states are determined using both the density functional theory (DFT) and various CC approaches, and a comparison with both the experiment and other theoretical results, wherever available, is made. The RMR CCSD(T) results provide the most satisfactory description in all cases. The dependence of the MR diradical character on a spatial separation of radical centers, as well as the artifactual DFT geometry in the case of benzyne and pyridynium meta-isomers, is also pointed out.
“…Its rovibrational ground state spectrum has been accurately determined by experiment, 108,109 which allows the critical assessment of the theoretical results in all regions of the dissociation curve. While there exist numerous investigations of the nearequilibrium properties [110][111][112][113][114][115][116][117][118] and some theoretical studies of the dissociation curve, 66,68,69,71,[119][120][121][122][123][124][125][126][127][128][129] the latter has proven to be a difficult case due to the weakness of its chemical bond. 130 As yet, no attempt has been made to obtain the full potential energy curve with an accuracy that would warrant calculating the full vibration rotation spectrum.…”
The recently introduced method of correlationenergy extrapolation by intrinsic scaling (CEEIS) is used to calculate the nonrelativistic electron correlations in the valence shell of the F2 molecule at 13 internuclear distances along the ground state potential energy curve from 1.14Åto8Å, the equilibrium distance being 1.412Å. Using Dunning's correlation-consistent double-, triple-, and quadruple-zeta basis sets, the full configuration interaction energies are determined, with an accuracy of about 0.3mhartree, by successively generating up to octuple excitations with respect to multiconfigurational reference functions that strongly change along the reaction path. The energies of the reference functions and those of the correlationenergies with respect to these reference functions are then extrapolated to their complete basis set limits. The applicability of the CEEIS method to strongly multiconfigurational reference functions is documented in detail. The recently introduced method of correlation energy extrapolation by intrinsic scaling ͑CEEIS͒ is used to calculate the nonrelativistic electron correlations in the valence shell of the F 2 molecule at 13 internuclear distances along the ground state potential energy curve from 1.14 Å to 8 Å, the equilibrium distance being 1.412 Å. Using Dunning's correlation-consistent double-, triple-, and quadruple-zeta basis sets, the full configuration interaction energies are determined, with an accuracy of about 0.3 mhartree, by successively generating up to octuple excitations with respect to multiconfigurational reference functions that strongly change along the reaction path. The energies of the reference functions and those of the correlation energies with respect to these reference functions are then extrapolated to their complete basis set limits. The applicability of the CEEIS method to strongly multiconfigurational reference functions is documented in detail.
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