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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 94 (1990), S. 5463-5468 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    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 93 (1990), S. 6636-6641 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The equilibrium geometries, binding energies, and harmonic frequencies of Mg3 and Mg4 have been determined using large atomic natural orbital basis sets in conjunction with high levels of electron correlation. The correlation treatments comprise multireference configuration interaction (MRCI), singles and doubles coupled-cluster (CCSD) theory and the CCSD(T) extension that includes a perturbational estimate of connected triple excitations. As with our previous studies of small Be clusters, the CCSD(T) method is found to reproduce the MRCI results with a remarkable degree of accuracy and at a fraction of the computational cost. Using the CCSD(T) method, full quartic force fields for Mg3 and Mg4 have been determined and anharmonic analyses have been performed using second-order perturbation theory. Vibration–rotation interaction constants and centrifugal distortion constants have also been determined. The fundamental vibrational frequencies are predicted to occur at ν1 (a'1)=96 and ν2 (e')=104 cm−1 for Mg3, and ν1 (a1)=184, ν2 (e)=143, and ν3 (t2)=167 cm−1 for Mg4. Infrared (IR) intensities, evaluated for the IR active modes via the double harmonic approximation, are 0.2 and 2.4 km/mol for the e' (Mg3) and t2 (Mg4) modes, respectively.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 3000-3004 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have studied the Phillips (A 1∏u–X 1∑+g ) band system of C2 in order to help resolve the discrepancy between the best theoretical lifetimes and those deduced recently from laser-induced fluorescence (LIF) studies. Our calculated lifetime for the A 1∏u(v'=0, J'=1) state is 13.0 μs, in excellent agreement with the recent calculations of ONeil et al., but considerably shorter than the direct experimental measurements. A measure of the accuracy of the complete-active-space self-consistent-field (CASSCF) multireference configuration-interaction (MRCI) results in this work is obtained by a series of calibration calculations. Convergence in the n-particle space is demonstrated by comparison with full configuration interaction calculations in a double-zeta plus polarization basis, while the convergence of the one-particle basis set is demonstrated by systematically expanding the one-particle basis set up through g angular momentum functions. Furthermore, a coupling of the one- and n-particle spaces is shown to be unimportant by systematically expanding the active space in the CASSCF/MRCI treatment. Given that our theoretical results are estimated to be accurate to about 5%, the LIF lifetimes would appear to contain some systematic error.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 6599-6603 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have studied the Phillips (A 1∏u–X 1∑+g ) band system of C2 in order to help resolve the discrepancy between the best theoretical lifetimes and those deduced recently from laser-induced fluorescence (LIF) studies. Our calculated lifetime for the A 1∏u(v'=0, J'=1) state is 13.0 μs, in excellent agreement with the recent calculations of ONeil et al., but considerably shorter than the direct experimental measurements. A measure of the accuracy of the complete-active-space self-consistent-field (CASSCF) multireference configuration-interaction (MRCI) results in this work is obtained by a series of calibration calculations. Convergence in the n-particle space is demonstrated by comparison with full configuration interaction calculations in a double-zeta plus polarization basis, while the convergence of the one-particle basis set is demonstrated by systematically expanding the one-particle basis set up through g angular momentum functions. Furthermore, a coupling of the one- and n-particle spaces is shown to be unimportant by systematically expanding the active space in the CASSCF/MRCI treatment. Given that our theoretical results are estimated to be accurate to about 5%, the LIF lifetimes would appear to contain some systematic error.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 489-495 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have determined the equilibrium geometries and binding energies of Be and Mg trimers, tetramers and pentamers using single and double excitation coupled cluster (CCSD) and complete active space self-consistent-field (CASSCF) multireference configuration interaction (MRCI) wave functions in conjunction with extended atomic basis sets. Our best estimates of the cluster binding energies are 24, 83, and 110 kcal/mol for Be3, Be4, and Be5; and 9, 31, and 41 kcal/mol for Mg3, Mg4, Mg5, respectively. A comparison of the MRCI and CCSD results shows that even the best single-reference approach (limited to single and double excitations) is not capable of quantitative accuracy in determining the binding energies of Be and Mg clusters.
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  • 6
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have investigated the contribution of connected triple and quadruple excitations to the binding in Be3 by comparing various coupled-cluster (CC) and truncated configuration-interaction (CI) treatments with multireference CI (MRCI) and full CI (FCI) calculations. The CC method with single and double excitations (CCSD) produces results that differ substantially from more elaborate treatments, but most extensions to CCSD that account approximately for connected triple excitations perform very well. In contrast, good agreement with FCI for Be2 can be achieved only with the highest level CC and MRCI methods.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5721-5730 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Using ab initio SCF, singles and doubles configuration interaction (CI-SD), and coupled pair functional (CPF) techniques with basis sets of triple zeta plus two polarization functions quality, the following properties have been computed for sulfur dioxide at its equilibrium geometry: dipole and quadrupole moments, electric field gradients at the nuclei, static and frequency dependent dipole polarizability (at λ=5154 A(ring) and λ=6328 A(ring)), dipole and polarizability derivatives, infrared absorption intensities, and Raman scattering activities. The properties, when calculated at the correlated level of theory have been evaluated by the energy derivative (ED) as well as the expectation value (EV) formalism. The results of the CPF(ED) calculations are in good agreement with the available experimental data and on the basis of additional two-configurational MCSCF studies the use of single reference CI-SD and CPF wave functions is judged to be justified. The analogous calculations on ozone serve to highlight the considerable differences between the two molecules, inasmuch as due to the considerably larger degree of near-degeneracy in O3, properties that involve mixing of the lowest 1B2 excited state with the 1A1 ground state are predicted poorly at the SCF level as well as at the single reference CI-SD and CPF levels of theory.
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 5898-5905 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The accuracy of the single and double excitation coupled-cluster (CCSD) method that includes a perturbational estimate of connected triple excitations, denoted CCSD(T), has been tested for some representative transition metal complexes. For both the binding energy and metal to ligand bond distance of NiCO and Ni(CO)2, the CCSD(T) method yields results in very good agreement with multireference averaged coupled-pair functional (ACPF) calculations. The results are much better than those obtained using either the coupled-pair functional (CPF) or modified CPF (MCPF) methods. The contribution of connected triples to the binding energy is significant for all Ni(CO)x, x=1–4 ranging from 15 kcal/mol for NiCO to 30 kcal/mol for Ni(CO)4. In contrast, for the geometries the connected triples are only of minor importance. In this case, the correct treatment of disconnected quadruple excitations appears to be more important. For Ni(CO)4, the calculated binding energy is 125 kcal/mol (expt. 140 kcal/mol) and the bond distance is 3.46 a0 (exp. 3.45 a0). Virtually all of the remaining discrepancy, relative to experiment, should be due to limitations in the one-particle basis set. In addition, some test calculations were performed for Ni(C2H4), where near degeneracy effects are even more severe than for the nickel carbonyls and the CCSD(T) method gives very accurate results in this case also.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 7050-7056 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The harmonic vibrational frequencies of the Be3 and Be4 clusters have been determined using ab initio electronic structure calculations. Large atomic natural orbital (ANO) basis sets have been used in conjunction with high levels of correlation treatment. These include multireference configuration-interaction (MRCI) and single and double coupled-cluster (CCSD) methods, and the CCSD method augmented with a correction for connected triple excitations [CCSD(T)]. In general, all three treatments agree very well. The only substantial disagreement is for the totally symmetric stretching mode in Be3, where the CCSD method yields a harmonic frequency that is 57 cm−1 smaller than the MRCI value. The fundamental vibrational frequencies of Be3 and Be4 have been determined using second-order perturbation theory to obtain anharmonic corrections; Be3 is treated as a symmetric top and Be4 as a spherical top. Full CCSD(T) quartic force fields were used to determine anharmonic constants, vibration–rotation interaction constants, and quartic and sextic centrifugal distortion constants. The anharmonic corrections for the two vibrational modes of Be3 reduce the frequencies by less than 5%, which is typical for bond-stretching vibrations. The a1 and e vibrations of Be4 exhibit somewhat smaller anharmonic corrections that decrease the frequency by about 3%. However, the only IR active mode of Be4 [ω3(t2)] displays a large positive anharmonic correction of +111 cm−1, or almost 20%. Finally, IR intensities have been determined using the double harmonic approximation.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 6219-6228 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The analytic energy gradient for the single and double excitation coupled-cluster (CCSD) wave function has been reformulated and implemented in a new set of programs. The reformulated set of gradient equations have a smaller computational cost than any previously published. The iterative solution of the linear equations and the construction of the effective density matrices are fully vectorized, being based on matrix multiplications. The new method has been used to investigate the Cl2O2 molecule, which has recently been postulated as an important intermediate in the destruction of ozone in the stratosphere. In addition to reporting computational timings, the CCSD equilibrium geometries, harmonic vibrational frequencies, infrared intensities, and relative energetics of three isomers of Cl2O2 are presented. The relative energies of the three isomers are further investigated using large atomic natural orbital basis sets in conjunction with the CCSD(T) method, which includes a perturbational estimate of connected triple excitations. The peroxide form of Cl2O2 is predicted to be the lowest energy isomer with the ClClO2 form lying 5.1±3.5 kcal/mol higher in energy.
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