Lattice Model

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J B Bates - One of the best experts on this subject based on the ideXlab platform.

  • Lattice Model calculation of the strain energy density and other properties of crystalline licoo2
    Journal of Applied Physics, 1998
    Co-Authors: F X Hart, J B Bates
    Abstract:

    The strain energy densities for various crystalline planes of LiCoO2 were calculated from the stiffness tensors obtained from Lattice Model calculations using the program GULP. In addition to Coulomb and Buckingham potentials, it was necessary to include shell Models for the oxygen and cobalt ions in order to obtain acceptable agreement between the observed and calculated structural parameters and high frequency dielectric constant. The strain energy densities u due to differential thermal expansion were calculated using the theoretical stiffness tensors and estimated values for the thermal expansion coefficients of LiCoO2. For a temperature change of 675 °C, these ranged from 0.5 to 1.3×108 erg/cm3 or 5 to 13 J/m2 for 1-μm-thick films on alumina substrates. In particular, the energies for the (003), (101), and (104) planes were ordered as u(003)≫u(104)>u(101). This suggests that the strong (101) preferred orientation of LiCoO2 films (⩾1 μm thick) is due to the tendency to minimize volume strain energy th...

  • Lattice Model calculation of the strain energy density and other properties of crystalline licoo2
    Journal of Applied Physics, 1998
    Co-Authors: F X Hart, J B Bates
    Abstract:

    The strain energy densities for various crystalline planes of LiCoO2 were calculated from the stiffness tensors obtained from Lattice Model calculations using the program GULP. In addition to Coulomb and Buckingham potentials, it was necessary to include shell Models for the oxygen and cobalt ions in order to obtain acceptable agreement between the observed and calculated structural parameters and high frequency dielectric constant. The strain energy densities u due to differential thermal expansion were calculated using the theoretical stiffness tensors and estimated values for the thermal expansion coefficients of LiCoO2. For a temperature change of 675 °C, these ranged from 0.5 to 1.3×108 erg/cm3 or 5 to 13 J/m2 for 1-μm-thick films on alumina substrates. In particular, the energies for the (003), (101), and (104) planes were ordered as u(003)≫u(104)>u(101). This suggests that the strong (101) preferred orientation of LiCoO2 films (⩾1 μm thick) is due to the tendency to minimize volume strain energy that arises from differential thermal expansion between the film and the substrate. Additional properties obtained from the GULP calculations include the free energy, heat capacity, and the k=0 vibrational modes.

K S D Beach - One of the best experts on this subject based on the ideXlab platform.

  • coherence and metamagnetism in the two dimensional kondo Lattice Model
    Physical Review B, 2008
    Co-Authors: K S D Beach, F F Assaad
    Abstract:

    We report the results of dynamical mean field calculations for the metallic Kondo Lattice Model subject to an applied magnetic field. High-quality spectral functions reveal that the picture of rigid, hybridized bands, Zeeman-shifted in proportion to the field strength, is qualitatively correct. We find evidence of a zero-temperature magnetization plateau, whose onset coincides with the chemical potential entering the spin up hybridization gap. The plateau appears at the field scale predicted by (static) large-N mean field theory and has a magnetization value consistent with that of x=1-n_c spin-polarized heavy holes, where n_c < 1 is the conduction band filling of the noninteracting system. We argue that the emergence of the plateau at low temperature marks the onset of quasiparticle coherence.

Gert Heinrich - One of the best experts on this subject based on the ideXlab platform.

  • magneto sensitive elastomers in a homogeneous magnetic field a regular rectangular Lattice Model
    Macromolecular Theory and Simulations, 2011
    Co-Authors: Dmytro Ivaneyko, Vladimir Toshchevikov, Marina Saphiannikova, Gert Heinrich
    Abstract:

    A theory of mechanical behaviour of the magneto-sensitive elastomers is developed in the framework of a linear elasticity approach. Using a regular rectangular Lattice Model, different spatial distributions of magnetic particles within a polymer matrix are considered: isotropic, chain-like and plane-like. It is shown that interaction between the magnetic particles results in the contraction of an elastomer along the homogeneous magnetic field. With increasing magnetic field the shear modulus, G, for the shear deformation perpendicular to the magnetic field increases for all spatial distributions of magnetic particles. At the same time, with increasing magnetic field the Young's modulus, E, for tensile deformation along the magnetic field decreases for both chain-like and isotropic distributions of magnetic particles and increases for the plane-like distribution of magnetic particles.

  • magneto sensitive elastomers in a homogeneous magnetic field a regular rectangular Lattice Model
    Macromolecular Theory and Simulations, 2011
    Co-Authors: Dmytro Ivaneyko, Vladimir Toshchevikov, Marina Saphiannikova, Gert Heinrich
    Abstract:

    A theory of mechanical behaviour of the magneto-sensitive elastomers is developed in the framework of a linear elasticity approach. Using a regular rectangular Lattice Model, different spatial distributions of magnetic particles within a polymer matrix are considered: isotropic, chain-like and plane-like. It is shown that interaction between the magnetic particles results in the contraction of an elastomer along the homogeneous magnetic field. With increasing magnetic field the shear modulus, G, for the shear deformation perpendicular to the magnetic field increases for all spatial distributions of magnetic particles. At the same time, with increasing magnetic field the Young's modulus, E, for tensile deformation along the magnetic field decreases for both chain-like and isotropic distributions of magnetic particles and increases for the plane-like distribution of magnetic particles.

Yukitoshi Motome - One of the best experts on this subject based on the ideXlab platform.

F X Hart - One of the best experts on this subject based on the ideXlab platform.

  • Lattice Model calculation of the strain energy density and other properties of crystalline licoo2
    Journal of Applied Physics, 1998
    Co-Authors: F X Hart, J B Bates
    Abstract:

    The strain energy densities for various crystalline planes of LiCoO2 were calculated from the stiffness tensors obtained from Lattice Model calculations using the program GULP. In addition to Coulomb and Buckingham potentials, it was necessary to include shell Models for the oxygen and cobalt ions in order to obtain acceptable agreement between the observed and calculated structural parameters and high frequency dielectric constant. The strain energy densities u due to differential thermal expansion were calculated using the theoretical stiffness tensors and estimated values for the thermal expansion coefficients of LiCoO2. For a temperature change of 675 °C, these ranged from 0.5 to 1.3×108 erg/cm3 or 5 to 13 J/m2 for 1-μm-thick films on alumina substrates. In particular, the energies for the (003), (101), and (104) planes were ordered as u(003)≫u(104)>u(101). This suggests that the strong (101) preferred orientation of LiCoO2 films (⩾1 μm thick) is due to the tendency to minimize volume strain energy th...

  • Lattice Model calculation of the strain energy density and other properties of crystalline licoo2
    Journal of Applied Physics, 1998
    Co-Authors: F X Hart, J B Bates
    Abstract:

    The strain energy densities for various crystalline planes of LiCoO2 were calculated from the stiffness tensors obtained from Lattice Model calculations using the program GULP. In addition to Coulomb and Buckingham potentials, it was necessary to include shell Models for the oxygen and cobalt ions in order to obtain acceptable agreement between the observed and calculated structural parameters and high frequency dielectric constant. The strain energy densities u due to differential thermal expansion were calculated using the theoretical stiffness tensors and estimated values for the thermal expansion coefficients of LiCoO2. For a temperature change of 675 °C, these ranged from 0.5 to 1.3×108 erg/cm3 or 5 to 13 J/m2 for 1-μm-thick films on alumina substrates. In particular, the energies for the (003), (101), and (104) planes were ordered as u(003)≫u(104)>u(101). This suggests that the strong (101) preferred orientation of LiCoO2 films (⩾1 μm thick) is due to the tendency to minimize volume strain energy that arises from differential thermal expansion between the film and the substrate. Additional properties obtained from the GULP calculations include the free energy, heat capacity, and the k=0 vibrational modes.