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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 4235-4245 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theoretical force field for in-plane vibrations of benzene has been determined from ab initio calculations at both the Hartree–Fock level with 4-21G, 6-31G, and 6-31G* basis sets and the MP2 level with 4-21G and 6-31G basis sets. The average error of the calculated frequencies at the MP2 level is between 2% and 3%. The reliability of the force field and vibrational frequency predictions of the calculations are analyzed. All diagonal stretching force constants obtained at the MP2 level are in quantitative agreement with Ozkabak–Goodman experimental force field, while the diagonal force constants involving ring deformation and CH rock are somewhat overestimated by the theory. Most of the off-diagonal force constants agree with the Ozkabak–Goodman results in sign but there are some significant quantitative differences in magnitude. Comparisons are made with other force fields, including results obtained by scaling ab initio calculations or introducing modified Hamiltonians. A simple extrapolation method for introducing correlation corrections into Hartree–Fock force constants gives excellent results for benzene.
    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 94 (1991), S. 3679-3699 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The potential energy function about the C–C single bond for the ground state 1,3-butadiene has been derived from ab initio calculations at both the Hartree–Fock (HF) level with 6-31G, 6-31G*, and 6-311G** basis sets and the second-order Møller–Plesset perturbation (MP2) level with 6-31G* basis set with the complete geometry optimizations at each of 15 fixed CCCC dihedral angles; the total energies and optimized geometries for the s-trans, gauche, and s-cis conformers were also determined at MP2 level with 6-311G* basis set and the third-order Møller–Plesset perturbation (MP3) level with 6-31G* basis set. The second stable conformer of the butadiene is predicted to be a gauche structure from all the calculations with a CCCC dihedral angle between 35° and 40° and a barrier of 0.5–1.0 kcal/mol to the s-cis transition state, and the theoretical torsional potentials are in good agreement with the experimental potential function of trans–gauche–gauche case derived by Durig et al.; by contrast, the theoretical torsional components differ significantly from the experimental results obtained from a trans–cis model. Vibrational frequencies and force field for s-trans and gauche conformers of 1,3-butadiene are determined at the Hartree–Fock and MP2 levels with 6-31G, 6-31G*, 6-311G, and 6-311G* basis sets. The mean absolute percentage deviations of the calculated frequencies from the experimental values (not corrected for anharmonicity) are ∼10%–13% and 3%–6% for the Hartree–Fock and MP2 methods, respectively. The effects of polarization functions and electron correlation on the force fields are studied, and the additivity of correlation and d function effects are discussed. Comparisons are made with other force fields, including experimental and previous ab initio results.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1719-1733 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Basis set and polarization function effects on the ground state optimized geometries and harmonic frequencies at the second-order Møller–Plesset perturbation (MP2) level have been studied for 11 small molecules (one or two heavy atoms) containing one or two carbon atoms, as well as for propene, propane, isobutene, acetaldehyde, methyl ether, cis- and trans-1,2-difuoroethylene. A series of basis sets ranging in quality from 4-21G to 6-311G** have been used for the small systems; for the larger systems 6-31G and 6-31G* basis sets were compared. In addition, three modified 6-31G basiss sets in which d basis functions are added to certain (but not all) heavy atoms were introduced to study the effect of polarization functions in systems containing heteroatoms. It was found that the inclusion of d functions in basis sets is important for calculating the equilibrium geometries, especially for CC and CX (X=N, O, and F) bonds. For vibrational frequencies, however, addition of d functions to basis sets often does not produce a significant improvement; for many alkenes and alkanes MP2/6-31G (MP2 with a 6-31G basis set) and MP2/4-21G calculations give good results for the frequencies that are comparable to those obtained with MP2/6-31G* and MP2/4-21G*, respectively. For molecules containing heteroatoms, the MP2/6-31G (MP2/4-21G) frequencies are generally rather close to the MP2/6-31G* (MP2/4-21G*) results except for the vibrations involving CX or XH stretching, for which the MP2/6-31G(MP2/4-21G) values are usually too low. Such deficiencies can be removed by addition of d basis functions to one of the atoms involved in CX or XH bonding. It is suggested that such basis sets with limited polarization functions can be usefully applied to larger molecules. Some experimental frequencies which are not consistent with the ab initio values are discussed and reassignments are proposed.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 79 (1996), S. 7036-7040 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We present a theoretical investigation of electron magnetotransport characteristics of a window-coupled quantum wire system which is treated as a four-terminal device. Different shapes and sizes of the coupling region are studied and various four-terminal Büttiker resistances are computed as a function of an external magnetic field. Our results are consistent with those of the experimental measurements of Hirayama, Tokura, Wieck, Koch, Haug, von Klitzing, and Ploog [Phys. Rev. B 48, 7991 (1993)] on similar device structures. In particular we have observed the fine interference pattern in the magnetoresistance and negative values of certain four-terminal resistance at low-magnetic-field strength. These features are found to be sensitive to the incoming electron energy. © 1996 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 6050-6056 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The standard method to study the diffusion of a particle in a system with immobile obstacles is to use Monte Carlo simulations on finite-size lattices with periodic boundary conditions. For example, the diffusion of proteins on the surface of biomembranes in the presence of fractal and random aggregates of obstacles has been studied extensively by M. J. Saxton. In this article, we derive two algebraically exact methods to calculate the diffusion coefficient D for such systems. The first method reduces the problem to that of a first passage problem. The second one uses the Nernst–Einstein relation to transform the problem into a field-driven drift problem where D is related to the zero-field mobility. Systems with closed volumes and multiple independent pathways are discussed. In the second part [Mercier and Slater, J. Chem. Phys. 110, 6057 (1999), following paper], a numerical implementation will be described and tested, and several examples of applications will be given. © 1999 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 109 (1998), S. 2528-2535 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have investigated the relaxational dynamics for a protein model at various temperatures. Theoretical analysis of this model in conjunction with numerical simulations suggests several relaxation regimes, including a single exponential, a power law, and a logarithmic time dependence. Even though a stretched exponential form gives a good fit to the simulation results in the crossover regime between a single exponential and a power-law decay, we have not been able to directly deduce this form from the theoretical analysis. © 1998 American Institute of Physics.
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  • 7
    Electronic Resource
    Electronic Resource
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 65 (1994), S. 1793-1795 
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We report detailed studies of quasibound states of a T-shaped two-dimensional quantum wire structure. While in the tunneling regime the peaks of the resonant transmission pattern correspond to quasibound states in the system, in the transmissive regime we show that the reflection peaks correspond to them. Furthermore, there is a one-to-one correspondence in energy and wave function between the quasibound states of the open structure and the bound state of the corresponding closed structure. We show that the quasibound states of the system can be unambiguously identified by the behavior of the electron dwell time. © 1994 American Institue of Physics.
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 76 (1994), S. 6374-6376 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We study transverse spin freezing in the site frustrated three-dimensional classical Heisenberg model using Monte Carlo simulations. For small values of the site randomness, there is no transverse spin freezing in the ferromagnetic state. As the fraction of the antiferromagnetic sites is increased beyond 16%, we observed that the transverse component of the spins freeze in random directions at temperatures below some value Txy. Similar behavior is observed in the antiferromagnetic state. We compare results of this model to those of the bond frustrated model. Finally an approximate phase diagram of this model is presented.
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 75 (1994), S. 2724-2726 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We present a time-dependent calculation of InAs/AlSb/GaSb/AlSb/InAs and InAs/GaSb/InAs resonant interband tunneling structures. We follow the propagation of electron wave packets through the systems and determine the temporal behavior of the device operation by calculating various time scales. We compare these time scales with the lifetime of the corresponding quasi-bound state computed from both the static transmission curve and the exact solution of the quasi-bound state.
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 75 (1994), S. 2721-2723 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A two-dimensional Thomas–Fermi–Dirac–von Weizsacker formalism is derived using a local density approximation to study ballistic transport in quantum structures. The effective potential of the two-dimensional system is calculated by minimizing the energy using a conjugate gradient technique. This method enables us to study the effects of exchange and correlation, in addition to the direct Coulomb interaction, on quantum transport. We have applied this method to calculate the transport property of a T-shaped two-dimensional quantum wire in the presence of the effective potential.
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