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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 7282-7290 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Full fifth-order many-body perturbation theory (MBPT) correlation energy contributions have been calculated for the molecules: BH, CH2 , H2 O, HF, SiH2 , CO, C2 H2, and O3 at the double zeta plus polarization level. The connected T4 component of the fifth-order energy has been computed with only an N6 basis set dependence due to a new factorization introduced for the "connected'' quadruple T4 diagrams. For the systems where MBPT is converging smoothly the fifth-order recovers 30%–50% of the difference between MBPT(4) and the full configuration interaction (FCI) values. The E5 based [2,1] Padé approximants generally provide a better approximation to the FCI energy. The absolute values of E5 corrections vary from 1–2 mhartrees for the hydrides at the equilibrium geometry up to 22 mhartrees for the O3 molecule, which is poorly described by a single self-consistend-field reference function.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 4282-4288 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A general implementation of the coupled-cluster (CC) single, double, triple, and quadruple excitation (CCSDTQ) method is presented and applied to several molecules, including BH, HF, H2O, and CO with DZP basis sets. Comparisons with full CI show average errors to be 14 μhartree at equilibrium and 26 μhartree at twice Re. CCSDTQ is exact for four electrons and is the first CC method correct through sixth order in perturbation theory.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 433-440 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The potential-energy surface for the inorganic free-radical, HIF, known only from molecular-beam studies, is investigated using fourth-order many-body perturbation theory [MBPT(4)]. All-electron calculations with three different basis sets are compared with results using relativistic and nonrelativistic effective potentials on I. Two local minima are found with an H–I–F angle α equal to 137.5° and 82°, with the energy difference ranging from 2.3 to 5.1 kcal/mol depending upon the calculation. The barrier to internal conversion is 1.1 kcal/mol. From the lowest minimum our MBPT(4) calculations predict HIF to be bound to dissociation (De) to IF+H by 27.0 to 32.6 kcal/mol, and to HI+F dissociation by 22.1 to 30.9 kcal/mol, in good agreement with experiment. However, very large superposition errors are shown to be possible in all-electron calculations because of inevitable basis-set deficiencies for the I atom. Explanations for the double minima in HIF are presented.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 6187-6194 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A multireference coupled-cluster (MRCC) method for special but general classes of incomplete model spaces is developed within a Hilbert space framework. The formulation avoids the valence universality requirement and related Fock space considerations that require hierarchical solutions for different number of electrons. Consequently, the Hilbert space approach has fewer amplitudes to determine. It is shown that diagonalization of the effective Hamiltonian leads to purely extensive energies, providing the formal basis for a general MR-CC methods for potential energy surfaces.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 3399-3400 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 8227-8238 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Employing a Hilbert space ansatz the multireference, coupled-cluster single and double (MRCCSD) excitation equations are derived and presented in a transparent diagrammatic form for a complete active multireference space. All possible excitation levels are considered to be in the complete active space through hextuples, for which the MRCCSD equations are shown to be complete. The equations apply for open- and closed-shell cases.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 1847-1856 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Excitation energy calculations with multireference many-body perturbation theory (MRMBPT) are theoretically and numerically studied. An extension of the Hose–Kaldor (HK) scheme is presented, which removes disconnected terms and, hence, the size-extensivity error for higher-order MRMBPT approximations. The excitation problem requires the use of an incomplete model space for which connectivity of the effective Hamiltonian Heff, is incompatible with intermediate normalization. In our formulation a proper choice of the model space as an introduction of a "quasiintermediate'' normalization leads to the connected structure of Heff. This guarantees size extensivity of the method which generally could not be achieved with the earlier Hose–Kaldor (HK) framework based upon intermediate normalization. Special attention is paid to the case when the Hartree–Fock (HF) approximation is used in the zeroth-order step. In this specific case the HK formalism applied to a subspace of the model space spanned by singly excited determinants gives the same result through third order which means that in the HF case disconnected contributions to Heff disappear and size extensivity is preserved to that order. MRMBPT(3) results for N2 and CO are presented to offer illustrative comparisons with the recently proposed EOM-CCSD and Fock space MRCCSD results.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 6103-6122 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Extension of the closed-shell coupled-cluster (CC) theory to studies of bond breaking and general quasidegenerate situations requires the inclusion of the connected triply and quadruply excited clusters, T3 and T4, respectively. Since the complete inclusion of these clusters is expensive, we explore the possibility of incorporating dominant T3 and T4 contributions by limiting them to active orbitals. We restrict T3 and T4 clusters to internal or internal and semi-internal components using arguments originating from the multireference formalism. A hierarchy of approximations to standard CCSDT (CC singles, doubles, and triples) and CCSDTQ (CC singles, doubles, triples, and quadruples) schemes, designated as the CCSDt and CCSDtq approaches, is proposed and tested using the H2O and HF molecules at displaced nuclear geometries and C2 at the equilibrium geometry. It is demonstrated that the CCSDt and CCSDtq methods provide an excellent description of bond breaking and nondynamic correlation effects. Unlike perturbative CCSDT and CCSDTQ approaches, the CCSDt and CCSDtq approaches do not fail at large internuclear separations, in spite of using the restricted Hartree–Fock reference. All CCSDt and CCSDtq approaches are essentially n6 procedures and yet they are shown to provide reliable information about T3 and T4 components, whose standard evaluation requires expensive n8 and n10 steps. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 108 (1998), S. 5255-5264 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A concise analysis of sixth-order perturbation theory and coupled cluster theory is presented, and several computational schemes correct through sixth order are constructed based upon an underlying coupled cluster singles and doubles calculation. The sixth-order corrections with respect to the coupled cluster singles and doubles wave function are identified and appropriate contributions are added to the energy using an n9 algorithm. Depending upon the type of the initial functional, several computational approaches can be developed. All of the methods considered have been tested for several small molecules and the results compared to the exact values. An average error of 0.3 mhartree is achieved compared to 0.1 mhartree for CCSDTQ (coupled cluster singles, doubles, triples, and quadruples). © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 1035-1040 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The dipole moment of IF and the remaining five interhalogen halides are computed at the MBPT(4) level employing effective potentials. A comparison between the finite-field and the Hellman–Feynman expectation value approach is presented. The theoretical values are in agreement with the experimental ones to within 10%. In the case of IF, whose dipole moment is unknown, we predict a value of 1.87±0.2 D. The correlation corrections constitute about 20% to 30% of the total dipole moment value, the dominant part of which is introduced at the second order. Only slight differences occur between the Hellman–Feynman expectation value formula and the finite-field procedure for dipole moments at the level of a second-order MBPT wave function.
    Type of Medium: Electronic Resource
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