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  • 1
    ISSN: 1573-0689
    Keywords: Indolemelanin ; pirocatechol ; a.c. and d.c. conductivity ; dielectric permittivity ; loss angle tg
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract Detailed studies on dielectric and electric properties of synthetic pirocatechol and indolederived melanin, pure and doped with Eu3+, have been performed, D.C. and a.c. electrical conductivity as well as dielectric permittivity and loss angle tg have been investigated. Activation energy of d.c. conductivity for the investigated temperature range (0°C〈T〈50°C equals 0.63 eV for pirocatechol and 0.62 eV for indolemelanin. Europium ions Eu3+ doped to the samples do not influence the values of activation energy, but the addition of Eu3+ ions decreases the conductivity values. On the basis of depolarization current curves the energy of trap level referred to Eu3+ has been calculated. It equals 0.58 eV for pirocatechol and 0.60 eV for indolemelanin.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 57 (1996), S. 1097-1106 
    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: In density functional theory (DFT), a many-electron problem for the electron density in atoms may be reduced, according to the Kohn-Sham scheme, to a one-electron problem. In the present work, a variational model is proposed which leads, within some assumptions, to the set of equations describing the change of the electron density ρ and energy ε during the ionization process. It is shown that the one-electron density contributions are not necessarily spherically symmetric, but assume the symmetry which depends upon the symmetry of the positive field. A few nonspherically symmetric potentials are studied in the present article. The nonlinear differential equation for density r is formulated and solved for Coulombic, Fues-Kratzer, and Hartmann potentials. The solutions and some particular examples are presented. © 1996 John Wiley & Sons, Inc.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 61 (1997), S. 741-746 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The model based on the assumption of the existence of an interatomic distance-dependent, local, effective crystal field applied to the alkaline metals (Int. J. Quantum Chem. 52, 321-328 (1994)) is modified and applied to the diamondlike structure crystals (C, Si, Ge, Sn). In the referred to model, a part of the electron density was missed - not included in the calculation (the density in the spaces between the shells). Such an approach could be used for the alkaline metals, but for the covalent crystals, this is a bad approximation. To avoid that problem, we assumed that the atom shells can overlap in such a way that the entire electron density is taken into the calculation. In this case, the electron density is “moved” from the outside of the shells mostly into the interatomic bond region. We applied the modified model to the calculation of the binding energy and the bulk modulus for the diamondlike crystals. The results show that well-chosen parameters allows one to reproduce the proper values of the binding energy at the equilibrium position. The bulk moduli calculated for these crystals are in quite good agreement with ones calculated as (regular crystal structure) B = 1/3(C11 + 2 C12), where C11 and C12 are elastic constants. © 1997 John Wiley & Sons, Inc.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 65 (1997), S. 499-501 
    ISSN: 0020-7608
    Keywords: density-functional theory ; variational principle ; reciprocal problem ; maximum principle ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Formalism of density-functional theory (DFT) is based on the calculus of variation. In the Hohenberg and Kohn theorem, a variational equation minimizing electronic energy with respect to an electron density is constructed. The calculus of variation allows one to formulate a problem which is reciprocal to an original one. Also, we may consider the problem of finding the electron density determining a given energy E=E[ρ] for a maximum number N=N[ρ] of the electrons forming the system. In this work, the reciprocal variational problem is discussed. Mathematical considerations are followed by a presentation of an application of the reciprocal problem (maximum entropy principle). Other possibilities of the applications are sketched.   © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 499-501, 1997
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 321-328 
    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: A method of description of a crystalline solid is presented and discussed in the light of the variational method. The proposed method refers to the muffin-tin cellular method but it is formulated in the language of electron density, without referring to wave-function treatment. Model calculations of p-dependent binding energy for alkaline metals have been performed. The results show that the proper adjustment of the effective charge of atomic core zeff parametrizing the electron density in the cell allows one to reproduce exact values of binding energy at the equilibrium distance. The numerical results prove that the dependence between the charge zeff and the radius of the cell RMT may be represented by the functión zeff = (21)1/2(1 + B exp(-ARMT)), where A and B are numerical parameters changing with high regularity throughout the period and I denotes the first ionization energy. © 1994 John Wiley & Sons, Inc.
    Additional Material: 1 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 62 (1997), S. 543-549 
    ISSN: 0020-7608
    Keywords: electron density ; muffin tin ; variational problem ; tranversality condition ; metallic crystal ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The reliability of a variational modeling of electron density in metallic crystal is investigated. The crystal is described within muffin-tin approximation referring to some from the ideas of the divide-and-conquer techniques. The calculations are performed with application of density functional and calculus of variation methods. The problem is formulated as finding a transversal with moving boundaries. Solution of the variational equation formulated for ρ indicates that a first derivative of the electron density must be zero on the border of the muffin tin. An illustrative example of lithium crystal is presented. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 62: 543-549, 1997
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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