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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 4297-4298 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , 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 86 (1987), S. 4030-4037 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The chemisorption of atomic oxygen on Cu(001) is treated using a many-electron embedding theory in which the copper lattice is modeled as a 25-atom cluster. Of the three high symmetry sites investigated—fourfold, bridge, and atop-atom—the fourfold site is found to be most stable, with a dissociation energy of ∼6.1 eV (r⊥=0.7 A(ring)), while the atop-atom configuration corresponds to the least stable site for atomic oxygen adsorption. The atop-atom site yields a radical-like state, "O−'', whereas the open sites involve an oxide-like state, ‘O2−', for oxygen. The principal valence ionization from oxygen is found to occur ∼8–10 eV below the vacuum level. The results of calculations on smaller clusters, CunO, n=2–5, are found to be in qualitative agreement with the results for Cu25O.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 4460-4472 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: By using a Green function Q to characterize the linear response of a dielectric body to electric charges, we obtain a theory for the solvent dielectric contribution to relaxation along the reaction coordinate RC(t) in an electron transfer process. For an electron transfer reaction model, in which the ions are embedded in a dielectric continuum, the theory gives, at t=0, the reorganization free energy derived by Marcus in 1956. For the same model the characteristic time τQ associated with RC(t) is evaluated in terms of the dielectric function εω of the medium. How the rate constant ket for an electron transfer process depends on τQ is illustrated for both high-barrier and low-barrier cases by approximating RC(t) as a Smoluchowski process on a potential surface. Applying the theory to a molecular model (charged hard sphere ions in a dipolar hard sphere solvent), treated in the mean spherical approximation for the response at any frequency (Wolynes, 1987), indicates that the effects of the molecular structure of the solvent on τQ are large even if the ion is several times larger than a solvent molecule.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 3400-3400 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 551-560 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Korringa, Kohn, and Rostoker (KKR) conditions for Bloch waves that describe the motion of electrons in a perfect crystal, and the scattering of these waves by crystal impurities, are formulated by the methods of time-independent scattering theory without recourse to angular-momentum expansions. Generalized Levinson theorems (Friedel sum rules) are proved, including the possibility of half-bound states.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 3130-3134 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The plasma wave equation with boundary conditions either on the light cone, or on a tangent plane to it, or on both, is studied. These problems arise in solutions to the inverse scattering problem but are of independent interest.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 2337-2347 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Ab initio SCF and CI calculations are reported for the ground state and low-lying excited electronic states of CuO (i.e., within ∼20×103 cm−1 of the X˜ 2Π ground state), employing an ab initio effective potential for the Cu atomic core (1s–3p), and including comparisons of several atomic orbital basis sets. The calculated bond lengths, energy separation, and population analyses for the lowest two electronic states, X˜ 2Π and Y 2Σ+ [corresponding roughly to Cu+ (3d10) and O− (2p5), where the 2p oxygen hole is, repectively, 2pπ and 2pσ], do not vary appreciably among the basis sets tested (minimal and split valence bases on Cu, and a split valence basis on oxygen, with and without d-polarization functions and diffuse p functions on oxygen) and are in reasonable agreement with previous experimental and theoretical estimates. Most of the remaining excited states of CuO below ∼20×103 cm−1 may be rationalized in terms of atomic-like excitations originating from theX˜ 2Π ground state: 3d(Cu) → 4s(Cu) and 3d(Cu) → 2 pπ (O) (the latter formally corresponds to Cu2+O2−, though covalent 2p‘gs–4s bonding reduces the charge to ∼Cu+O−). Close agreement (rms deviation of ∼103 cm−1) is obtained between calculated (CI) and observed adiabatic transition energies for ten Σ, Π, and Δ doublet excited states (relative to the X˜ 2Π state), after the calculated excitation energies are reduced by ∼5×103 cm−1, a term which corrects primarily for limitations in the Cu atom basis set, and whose magnitude can be obtained both in terms of calculated and observed atomic quantities and by direct least-squares fitting of calculated and observed CuO transition energies. The calculations yield the first comprehensive assignment of Kronig symmetry (±) for the observed 2Σ states (δ 2Σ−, A 2Σ−, A′ 2Σ+, and G 2Σ+) and one which is consistent with recent analyses of experimental data. The extent of specific molecular correlation effects is analyzed, and found to be important in the assignment of several of the observed transitions. The CI mixing of different principal configurations may be significant for states involving the "Cu2+O2−'' configuration (as also suggested in previous studies), and the assignments based on the present CI results for these states are only tentative.
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 5210-5218 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A novel method for investigating solute–solvent H/D exchange equilibria in aqueous solution is described. The "first-order difference'' neutron diffraction method of Enderby and co-workers is combined with a variation of the isotopic composition of the solvent, ideally from pure D2O to that D2O–H2O mixture in which the average neutron scattering length of the H and D species vanishes. The new technique can give the location of the exchange site with respect to a particular atom as well as the H/D exchange constant for the site with reference to the bulk solvent. The relevant solution thermodynamic data are reviewed to identify systems for which the proposed neutron diffraction experiment is feasible. The literature data are complemented by new calculations of the effect of an ion on the O–H stretch vibration and the libration of the neighboring water. For +3 ions the dominant isotope effect is associated with the O–H stretch of the water; the shift to lower frequencies is proportional to the square of the ionic charge z in the sequence Na+, Mg2+, Al3+, while the libration frequency increases linearly with z in the same series. The reported free energy data for H2O to D2O transfers of various Mz+ ions can be understood on the basis of these observations. Finally, while the question of feasibility of the new technique invites examination of the details of ionic hydration, the main point is that such details could be elucidated by the proposed diffraction technique.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 4923-4939 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We consider the initial value problem for the forced one dimensional nonlinear Schrödinger equation (NLS), where the forcing is assumed to be fast compared to the evolution of the unforced equation. This suggests the introduction of two time scales. Solutions to the forced NLS are sought by expressing the dependent variable in modulus-phase form and expanding in powers of a small parameter, which is inversely related to the forcing time scale. This system is similar to a forced eikonal-transport system arising in nonlinear geometrical optics. We focus on the effect that the forcing has on the NLS standing solitary wave. Solutions to second order in the expansion are computed analytically for some specific choices of the forcing function. A general conclusion of this work is that the effect of the forcing on the phase variable is quite important in determining the overall structure of the forced solitary wave. © 1995 American Institute of Physics.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 44-55 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Functions that solve the Helmholtz equation in a bounded region are represented in the form of an integral on the unit sphere. The linear space needed for this, as well as the uniqueness of the representation, are investigated. A specific application of the technique to general spectral calculations for electrons in periodic crystals is included.
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