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  • 1
    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. 643-651 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The multireference configuration-interaction (MR-CI) method is used to calculate the binding energy of the He dimer. The convergence of the binding energy to the configuration-set limit (full-CI) is followed by progressively extending the multireference configuration set. Two variants of the Pople size-extensivity correction are applied. The distance dependence of the corrections and hence the effect upon the binding energy turns out to be very small. The effect of orbital optimization is studied and it is shown that it is sufficient to optimize the orbitals used for the multireference space in an atomic multiconfiguration self-consistent field (MCSCF) calculation. In a basis of 50 atomic orbitals, the full-CI binding energy of −9.08 K can be reproduced to 0.00 K (0.02 K) in calculations using only 37 (27) reference configurations, built from the atomic 1s, 2s, 2p, and 3s natural orbitals. Using a very large basis, the 37-reference set gives a best binding energy of −10.87 K, in satisfactory agreement with Aziz's recent semiempirical result of −10.95 K. These findings suggest that the MR-CI method can be developed into an efficient tool for calculating accurate van der Waals interaction energies for larger systems.
    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 97 (1992), S. 5019-5030 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The equilibrium structure and binding energy of the water dimer have been determined in ab initio quantum-mechanical calculations at the correlated level using second-order Møller Plesset theory (MP2) and coupled-electron pair theory (CEPA-1). Basis set superposition error was avoided by applying the counterpoise procedure throughout. Basis set convergence was monitored by studying not only the total interaction energy, but also the first and higher-order Hartree–Fock interaction energies, the partitioned intra and intermolecular components of the MP2 interaction energy, and the monomer dipole moments. This was done at a near equilibrium geometry for more than 20 progressively improved basis sets. The largest set was used in MP2 and CEPA-1 geometry optimizations in Cs symmetry, keeping all intramolecular coordinates fixed, except for the donor OH length. The equilibrium geometry is found to be ROO=2.949 (6) A(ring), θa=55.2 (2.0)°, θd=57.6 (2.0)°. The donor OH bond is lengthened by 0.0060 (6) A(ring), but this has virtually no effect upon the final ROO. The equilibrium binding energy is determined as ΔE=−4.73 (10) kcal/mol. The CEPA dipole moment is 2.60 (10) D. The error bars on these results reflect the uncertainty due to the remaining incompleteness in the one-electron basis as well as in the treatment of electron correlation. Taking into account the vibrational effects present in experimental data, the calculated results lie within the error bars of the experimental data available to date. However, the present error bars are two to seven times tighter and so some of the experimental values lie outside the present ranges. The largest discrepancy is for ΔE, which is difficult to determine experimentally. This finding is of importance for the modeling of water properties where empirical potentials with ΔE ranging from −5.0 to −5.5 kcal/mol are customarily employed.
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of organic chemistry 43 (1978), S. 763-765 
    ISSN: 1520-6904
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 103 (1981), S. 7701-7706 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 97 (1993), S. 203-210 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 96 (1992), S. 366-371 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    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 111 (1999), S. 3812-3819 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A compact basis set is constructed for the water dimer by focusing directly on an optimal description of the counterpoise-corrected interaction energy (ΔE) rather than on the total energy of the fragments. The optimization criterion is that the basis set should be of uniform accuracy, i.e., the truncation error in ΔE due to the basis set incompleteness should be the same for all symmetry types at all sites. Aiming at a truncation error of 10 μhartree per symmetry at the SCF+MP2 (self-consistent field+Møller–Plesset second-order) frozen core level the resulting interaction optimized basis set comprises 249 functions. The composition of this IO249 set is O/5s3p4d3f2g1h, H(donor)/2s4p1d, H(else)/2s3p, bond function set/3s3p2d1f. An all-electron variant, IO275, is described as well. A recipe to obtain interaction optimized sets for other systems is given. The set IO249 yields a ΔE(fc) value at the Feller–Frisch geometry of −4.87 kcal/mol. Of the many orbital-based calculations that have been reported for this system only Schütz' 1046-function calculation [J. Chem. Phys. 107, 4597 (1997)] was more accurate. The small size of the interaction optimized sets opens the possibility for high-accuracy SCF+MP2 work on larger systems than have been accessible before. It also brings higher-level correlated treatments within reach. An Appendix summarizes two additivity rules which allow the ΔE for a larger basis set to be estimated to very high accuracy from the results of smaller basis sets. © 1999 American Institute of Physics.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 11141-11151 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Multireference configuration interaction (MRCI) calculations are presented for the helium dimer employing a new, 301-orbital basis set consisting of a [8s]6p5d4f3g2h atom-centered set and a set of 3s3p2d2 f1g midbond functions. The basis was specifically designed to optimally describe the [self-consistent field+second-order Möller–Plesset (SCF+MP2)] He2 interaction energy (at R=4.0 bohr), using a procedure recently developed for calculations on the water dimer. The MRCI calculations employ an 78-configuration reference set, which is capable of reaching full CI quality. Using the difference between the limiting (coupled-cluster single double triple [CCSD(T)]) values of Klopper and Noga [J. Chem. Phys. 103, 6127 (1995)] and the present values in order to account for basis set incompleteness, the final He2 well depth is found to be ΔE(R=5.6)=−10.99±0.02 K while at R=4.0 bohr one finds 292.72±0.2 K. These values are in excellent agreement with the results of Komasa and Rychlewski [Mol. Phys. 91, 909 (1997)], obtained in variational calculations using explicitly correlated Gaussian-type geminal wave functions. This paper also considers the role of the Möller–Plesset polarization dispersion energy Edisp(20) as well as the correlated first-order interaction energy E(1), as arising in the symmetry-adapted perturbation theory (SAPT) theory, in determining the binding energy at different levels of correlation [MP2, MP3, CCSD(T) and 78-MRCI]. From these results it appears that the SAPT calculations of Korona et al. [J. Chem. Phys. 106, 5109 (1997)] incorrectly predicted significantly more attraction at both distances. © 1999 American Institute of Physics.
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 11 (1990), S. 1-18 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Counterpoise corrected ab initio calculations are reported for (H2O)2 and H2O-H2CO. Geometry searches were done in the moment-optimized basis DZP' at the SCF, MP2, and CEPA-1 levels of theory, followed by more accurate single-point calculations in basis ESPB, which includes bondfunctions to saturate the dispersion energy. The final equilibrium binding energies obtained are -4.7 ±0.3 kcal/mol for a near-linear (H2O)2 structure and -4.6 ±0.3 kcal/mol for a strongly bent HOH ‥ OCH2 structure. The energy difference between these systems is much smaller than in all previous ab initio work. Cyclic (C2h) and bifurcated (C2v) transition structures for (H2O)2 are located at 1.0 ±0.1 kcal/mol and 1.9 ±0.3 kcal/mol above the global minimum, respectively. A new partitioning scheme is presented that rigorously partitions the MP2 correlation interaction energy in intra and intermolecular (dispersion) contributions. These terms are large (up to 2 kcal/mol) but of opposite sign for most geometries studied and hence their overall effect upon the final structures is relatively small. The relative merits of the MP2 and CEPA-1 approaches are discussed are discussed and it is concluded that for economical reasons MP2 is to be preferred, especially for larger systems.
    Additional Material: 7 Ill.
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