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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Il nuovo cimento della Società Italiana di Fisica 7 (1986), S. 734-738 
    ISSN: 0392-6737
    Keywords: 61.70 ; defects in crystals
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Il lavoro deriva una relazione di scala per l’energiaE v di formazione di un posto vacante in una famiglia di sistemi omologhi alla loro temperatureT m di fusione, nell’ambito di una teoria a potenziale di coppia che legaE v aT m alla struttura della fase liquida nell’ipotesi che rilassamenti atomici attorno al posto vacante possano essere trascurati.
    Notes: Summary A scaling relation is derived for the vacancy formation energyE v in a family of homologous systems at their melting temperatureT m, using a pair potential theory which relatesE v atT m to liquid structure under the assumption that atomic relaxation round the vacancy can be neglected.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Il nuovo cimento della Società Italiana di Fisica 6 (1985), S. 521-526 
    ISSN: 0392-6737
    Keywords: Diamagnetism and paramagnetism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto La localizzazione di elettroni per effetto di repulsioni coulombiane sufficientemente forti porta ad un modello di elettroni che oscillano attorno a siti reticolari in potenziali armonici. Si studia il diamagnetismo orbitale di un siffatto oscillatore localizzato di Wigner in campo magnetico d'intensità arbitraria. Il contributo dovuto al momento angolare orbitale e quello di Langevin-Pauli sono calcolati separatamente mediante il teorema di Feynman. Si discute la possibile connessione dei risultati con il problema della curva di fusione del cristallo di Wigner in campo magnetico.
    Notes: Summary Electron crystallization due to sufficiently strong Coulomb repulsions leads to a model of electrons oscillating about lattice sites in harmonic potentials. We have studied the orbital diamagnetism of such a localized Wigner oscillator in an applied magnetic field of arbitrary strength. The two contributions from orbital angular momentum and from Langevin-Pauli behaviour are separately calculated using Feynman's theorem. Possible relevance to the melting curve of the Wigner crystals in a magnetic field is pointed out.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 1967-1968 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Asymptotic representations of the density matrix and pair function for atoms and molecules are developed for a number of different limits. These are necessary conditions on any feasible density matrix. We end by discussing the corresponding physical configurations.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 1232-1233 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The 1/Z expansion of the total energy E(Z,N) is compared with a recent result giving the total energy of heavy positive atomic ions in the weak ionization limit N/Z near to unity. The leading term in the asymptotic limit of the high order coefficients of the 1/Z expansion for large N is thereby determined precisely. The results are finally compared and contrasted with the treatment by Stillinger of the He-like series with N=2.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 323-324 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The asymptotic form of the single-particle density matrix in an N-electron atom is known to be determined by the overlap of the ground state wave functions of the N and (N−1) electron systems. We discuss the generalization of this result to the two particle density matrix. The connection with recent work by Patil on the asymptotic form of the wave function for two-electron atomic ions, and its generalization, is pointed out.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 5099-5101 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The problem of calculating dissociation energies of all but the lightest molecules remains a formidable one in quantum chemistry. However, the calculation of equilibrium internuclear distances is much simpler. Therefore, in this paper, we have explored whether the dissociation energies of diatomic molecules can be directly related to the nuclear–nuclear potential energy Vnn, plus molecular invariants. These latter quantities are the total number of electrons N and the "approximate'' invariant, the total kinetic energy of the separated atoms, denoted by T. For chemically similar series, a marked correlation of D with Vnn/T is demonstrated, which for the N2, P2, etc. series can be represented approximately by D/N1/2=[300(Vnn/T)−6] kcal which would mean no binding above a limiting atomic number, lying higher, however, than those that span the Periodic Table. The existence of a minimum value of Vnn/T in groups of chemically stable homonuclear diatomic molecules is then contrasted with the situation in chemically similar series of heteronuclear diatomic molecules. Here, no minimum value of Vnn/T is found, due, it is argued, to the stabilization of these molecules by charge transfer.
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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. 4562-4564 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: For eleven neutral diatomic systems and one positive ion we have numerically evaluated the three terms in the gradient expansion of the molecular kinetic energy T=T0+T2+T4. Hartree–Fock–Roothaan molecular densities were used throughout. For the molecules studied T2/T0 ∼0.1, T4/T2 ∼0.2. The contributions to these integrals from different regions of space were examined. We have also estimated the values of the two terms in the gradient expansion of the mean momentum P=P0+P2 and find P2/P0 ∼0.5. Lastly we make contact with earlier work of Mucci and March. D/N2 is found to correlate grossly with T2, where D is the dissociation energy and N the total number of electrons in the molecule.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 554-555 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Using density functional theory in the asymptotic limit of very heavy positive ions, it is demonstrated that the well-known scaling property of the total energy E3(Z, N) of an ion with N electrons and atomic number Z is a special case of the d-dimensional result Ed(Z, N)=Z(4+4d−d2)/d(4−d)fd (N/Z):d≠4.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2973-2974 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Hilton, March, and Curtis have earlier focused on the utility of the effective potential U(r,β) in determining the Slater sum Z(r,β)=Z0(β)exp(−βU(r,β)). Here an explicit, though highly nonlinear, partial differential equation is derived for determining the effective potential U(x,β) in one-dimensional problems. Direct solution of this equation by power series expansion in β leads readily to Husimi's results obtained from off-diagonal density matrix calculations. Perturbation theory in the potential is also developed, and thereby it is shown that an infinite subseries of the Husimi expansion is readily summed, and that a scaling property is exhibited.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2975-2976 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: By taking the electron densities of semi-infinite electron gases in one and in three dimensions, and forming the Slater sum by the Laplace transform, it is shown that the Slater sum is the classical partition function in d dimensions, times a function independent of dimensionality. The electron density is thereby calculated for general dimensionality, as is the kinetic energy density. As a by-product, the dimensionality dependence of Friedel oscillations emerges in general form.
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