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  • 1
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 111 (1999), S. 3812-3819 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: 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.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 5019-5030 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: 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.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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