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  • 11
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 23 (1983), S. 1355-1361 
    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: The generator coordinate method (GCM) is a powerful variational technique invented for studying nuclear collective motion and extended in recent times by Lathouwers, Van Leuven, and Laskowski et al. to problems of molecular electronic structure and vibrations. In preparation for the application of GCM to electron correlation and lattice dynamical problems in solids, we have studied linear periodically bounded systems consisting of one- and two-mass anharmonic chains of both finite and infinite length. Preliminary results for the variational energy and vibrational spectra from some simple intrinsic functions are presented.
    Additional Material: 2 Tab.
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  • 12
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 42 (1992), S. 1037-1045 
    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: Some time ago Min et al. [Phys. Rev. B 30, 5076 (1984)] found the near-equilibrium sequence of phases of paramagnetic crystalline H to be (in order of increasing energy) simple cubic (SC), hexagonal close packed (HCP), body-centered cubic (BCC), and face-centered cubic (FCC), with FCC and HCP substantially separated (about 60 mRy/atom). This result is counterintuitive on three counts when compared with crystalline Li. That comparison suggests that HCP should lie only slightly below FCC and both should be substantially below BCC. (Simple cubic should lie lowest in H but not in Li because of the difference in orbital occupancy.) We have redone the calculations with our published full-potential linearized augmented plane wave code WIEN. We find the sequence of phases with increasing energy to be SC, HCP, FCC, and BCC, the ordering expected from solid Li. By direct exploration of dense k-space meshes, we show that the difference in predictions results from a k-space mesh extrapolation technique used by Min et al.
    Additional Material: 1 Ill.
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  • 13
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 283-297 
    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: We present early results from the CHANNEL code, which simulates the passage of ionized projectiles through bulk solids. CHANNEL solves the classical equations of motion for the projectile using a force obtained from the gradient of the quantum mechanically derived coulombic potential of the solid [determined via a full potential augmented plane wave (FLAPW) calculation on the bulk] and a quantum mechanical energy dissipation term, the stopping power, as determined from the method of Echenique, Nieminen, and Ritchie. The code then generates the trajectory of the ionic projectile for a given incident position on the unit cell face and an initial velocity. We use CHANNEL to generate an ion (proton) implantation profile for the test case of simple cubic hydrogen with the projectile's initial velocity parallel to the 〈100〉 channel. Further preliminary results for ion implantation profiles of protons in diamond structured Si, with initial velocity along the 〈100〉 and 〈110〉 channels, are given. © 1994 John Wiley & Sons, Inc.
    Additional Material: 9 Ill.
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  • 14
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 675-686 
    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: The work functions and surface energies of Al(111) films ranging from one to seven layers thick have been calculated using the linear combinations of Gaussian type orbitals-fitting function (LCGTO-FF) technique, as implemented in the program package FILMS, an all-electron full-potential electronic structure method. Both quantities exhibit significant quantum size effect (QSE), in basic agreement with three previous investigations using more approximate techniques. However, there are significant quantitative differences among the four sets of results. © 1994 John Wiley & Sons, Inc.
    Additional Material: 2 Ill.
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  • 15
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 299-308 
    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: We present the effects of structure, chemical binding, and number of layers on stopping for clean, unreconstructed diamond (100) one- to four-layer films with lattice constants fixed at crystalline values, and for graphite mono- and dilayers at their optimized bond lengths. First Born approximation stopping cross sections for protons incident normally on the films were obtained from orbital versions of the kinetic theory of stopping and of the local plasma approximation. The required electron momentum density was generated from the real space Kohn-Sham orbitals. We find a strong static quantum size effect in the stopping of diamond ultra-thin films as opposed to graphite, for which the stopping is only very weakly dependent on the layer number. © 1994 John Wiley & Sons, Inc.
    Additional Material: 4 Ill.
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  • 16
    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
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  • 17
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 69 (1998), S. 451-460 
    ISSN: 0020-7608
    Keywords: broken symmetry ; general spin orbitals ; symmetry dilemma ; spin symmetry ; symmetry in density functional theory ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The Kohn-Sham (KS) procedure for variational minimization of the Hohenberg-Kohn density functional utilizes a one-particle reduced density matrix of assumed diagonal form, hence depends implicitly on a set of auxiliary states. Originally, the auxiliary state was assumed to be a single determinant with doubly occupied spin orbitals, i.e., of the same form as in “restricted” Hartree-Fock theory. The pragmatic and formal extension of the KS procedure to noninteger occupation numbers requires extension to more general forms of the auxiliary state or even its replacement by an auxiliary ensemble. Though attention has been given to the symmetry properties of the KS one-matrix, its spin and time-reversal symmetries have not been classified along the lines of Fukutome's treatment of the generalized Hartree-Fock problem. Here we show that, in the context of constrained search density functional theory (DFT), Fukutome's analysis goes through essentially unaltered. We then consider the broken symmetry consequences for the case that the KS one-matrix is restricted to a single-determinantal KS auxiliary state.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 451-460, 1998
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  • 18
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 61 (1997), S. 641-646 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Critical evaluation of calculated properties of crystalline Al and Si shows that considerably less is known about the systematic behavior of gradient-dependent approximations (GDAs) to density functional theory than is commonly thought. GDAs appear to be quite sensitive to the technical details of implementation (e.g., pseudopotentials and relativistic corrections). GDA cohesive energies published so far for the two systems typically are substantially better than are LDA values when compared with experiment. The reverse is true for the lattice constants, while the GDA bulk moduli are no better than are LDA values for Al and are worse for Si. Extremely well-controlled test calculations are needed to ascertain the actual behavior of GDAs. © 1997 John Wiley & Sons, Inc.
    Additional Material: 5 Tab.
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  • 19
    Publication Date: 2014-02-20
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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  • 20
    Publication Date: 2006-09-07
    Print ISSN: 0021-9606
    Electronic ISSN: 1089-7690
    Topics: Chemistry and Pharmacology , Physics
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