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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 114 (1992), S. 4391-4400 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    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 109 (1998), S. 962-972 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The structures of the anionic germanium Gen− clusters and the corresponding neutral Gen clusters (n=2–6) have been investigated using B3LYP-DFT and CCSD(T) methods. The 6-311+G(3df ) basis set is employed for the dimers and trimers, while the smaller 6-311+G(d) basis set is used for clusters with n〉3. The most stable structures for the germanium cluster anions Ge3−, Ge4−, Ge5−, and Ge6− are found to be C2v(2A1), D2h(2B2g), D3h(2A2″), and D4h(2A2u), respectively. In the case of Ge2−, our calculations show that the low lying 2Πu and 2Σg+ states are within 1 kcal/mol of each other and both states are candidates for the ground state of the anion. The adiabatic electron affinities calculated for the Gen clusters with n=2,3,4,6 are within 0.1 eV of the corresponding experimental values. Furthermore, the adiabatic excitation energies computed at the CCSD(T) level for the low lying states of Ge3 and Ge4 compare quite well with the assignments of the bands observed in the photoelectron spectra of Ge3− and Ge4− by Burton, Xu, Arnold, and Neumark [J. Chem. Phys. 104, 2757 (1996)]. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 99 (1998), S. 197-206 
    ISSN: 1432-2234
    Keywords: Key words: Scalable algorithms ; Supercomputing ; Quantum mechanics ; Divide-and-conquer ; Large molecules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. We describe an efficient algorithm for carrying out a “divide-and-conquer” fit of a molecule's electronic density on massively parallel computers. Near linear speedups are achieved with up to 48 processors on a Cray T3E, and our results indicate that similar efficiencies could be attained on an even greater number of processors. To achieve optimum efficiency, the algorithm combines coarse and fine-grain parallelization and adapts itself to the existing ratio of processors to subsystems. The subsystems employed in our divide-and-conquer approach can also be made smaller or bigger, depending on the number of processors available. This allows us to further reduce the wallclock time and improve the method's overall efficiency. The strategies implemented in this paper can be extended to any other divide-and-conquer method used within an ab initio, density functional, or semi-empirical quantum mechanical program.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Density functional theory is tested on a large ensemble of model compounds containing a wide variety of functional groups to understand better its ability to reproduce experimental molecular geometries, relative conformational energies, and dipole moments. We find that gradient-corrected density functional methods with triple-ζ plus polarization basis sets reproduce geometries well. Most bonds tend to be approximately 0.015 Å longer than the experimental results. Bond angles are very well reproduced and most often fall within a degree of experiment. Torsions are, on average, within 4 degrees of the experimental values. For relative conformational energies, comparisons with Hartree-Fock calculations and correlated conventional ab initio methods indicate that gradient-corrected density functionals easily surpass the Hartree-Fock approximation and give results which are nearly as accurate as MP2 calculations. For the 35 comparisons of conformational energies for which experimental data was available, the root mean square (rms) deviation for gradient-corrected functionals was approximately 0.5 kcal mol-1. Without gradient corrections, the rms deviation is 0.8 kcal mol-1, which is even less accurate than the Hartree-Fock calculations. Calculations with extended basis sets and with gradient corrections incorporated into the self-consistent procedure generate dipole moments with an rms deviation of 5%. Dipole moments from local density functional calculations, with more modest basis sets, can be scaled down to achieve roughly the same accuracy. In this study, all density functional geometries were generated by local density functional self-consistent calculations with gradient corrections added in a perturbative fashion. Such an approach generates results that are almost identical to the self-consistent gradient-corrected calculations, which require significantly more computer time. Timings on scalar and vector architectures indicate that, for moderately sized systems, our density functional implementation requires only slightly less computer resources than established Hartree-Fock programs. However, our density functional calculations scale much better and are significantly faster than their MP2 counterparts, whose results they approach. © 1995 John Wiley & Sons, Inc.
    Additional Material: 8 Tab.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 69 (1998), S. 405-421 
    ISSN: 0020-7608
    Keywords: density functional theory ; exchange-correlation potentials ; grids ; linear scaling methods ; divide-and-conquer ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The conventional linear combination of Gaussian-type orbitals (LCGTO) density functional (DF) method fits the exchange-correlation (XC) potentials and energy density within an auxiliary basis. The benefits of this approach versus straightforward numerical quadrature of the XC terms will be discussed. However, the conventional fitting procedure scales cubically with system size and is therefore ill-suited for applications on very large systems. A divide-and-conquer (DAC) approach to the fits of the XC terms has been developed and implemented within the DeFT DF software package. This DAC procedure will be outlined, and the results and timings of benchmark 6-31G** calculations on extended glycine polypeptides will be presented. Other changes made to DeFT's XC subroutines, necessary to achieve near-linear scaling, will also be discussed. DeFT's grids have also been refined to achieve greater precision, and a scheme using fewer points for fitting procedures and more points for numerical integrations is presented. Through our preliminary efforts, we have achieved scalings in the XC modules no worse than N1.4 (N is the number of atoms) for peptides that range in size up to 83 atoms.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 405-421, 1998
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 38 (1990), S. 29-39 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Results are presented from linear combination of Gaussian type orbitals-model core potential-local spin density calculations on equilibrium geometries and harmonic frequencies of several small main group and organometallic molecules. The equilibrium geometries were obtained by minimizing the norm of an approximate analytical energy gradient while the frequencies were obtained by numerical differentiation of these gradients. Comparison with experimental data indicates that the approximate gradients yield accurate results which typically agree better with experiment than those of the Hartree-Fock method and compare favorably with commonly used correlated techniques.
    Additional Material: 5 Tab.
    Type of Medium: Electronic Resource
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