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Debye model
About: Debye model is a research topic. Over the lifetime, 7462 publications have been published within this topic receiving 133987 citations.
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TL;DR: In this paper, the structural and mechanical properties of several rare-earth diborides were systematically investigated by first principles calculations, and Chen's method was used to show that these compounds are mechanically stable in the considered structures, and according to "Chen's method", the predicted Vickers hardness shows that they are hard materials in AlB2 and OsB2-type structures.
Abstract: Structural and mechanical properties of several rare-earth diborides were systematically investigated by first principles calculations. Specifically, we studied XB2, where X = Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, and Lu in the hexagonal AlB2, ReB2, and orthorhombic OsB2-type structures. The lattice parameters, bulk modulus, bond distances, second order elastic constants, and related polycrystalline elastic moduli (e.g., shear modulus, Young's modulus, Poisson's ratio, Debye temperature, sound velocities) were calculated. Our results indicate that these compounds are mechanically stable in the considered structures, and according to "Chen's method", the predicted Vickers hardness shows that they are hard materials in AlB2- and OsB2-type structures.
67 citations
TL;DR: In this paper, the elastic constants and thermal expansion of single-crystal CdTe have been measured in the temperature range 42-300 K. An anomaly in both parameters is observed, which has hitherto not been reported, and is tentatively attributed to a change in ionicity.
Abstract: The elastic constants and thermal expansion of single-crystal CdTe have been measured in the temperature range 42-300 K. The values of elastic constants obtained at 298 K were C11=538×1010 N m−2, C12=374×1010 N m−2 and C44=2018×1010 N m−2. Their temperature variation is in good agreement with Vekilov and Rusakov's (1971) values and the temperature dependence of the thermal expansion is similar to the other measurements in the literature. An anomaly in both parameters is observed, which has hitherto not been reported, and is tentatively attributed to a change in ionicity. The Debye temperature at 0 K is calculated from the elastic constants and a value of 1627 K obtained.
67 citations
TL;DR: In this article, an atomic model is set up for the purpose of finding the normal modes of vibration of a body-centered cubic lattice, and a method is presented for selecting suitable atomic force constants from the macroscopic elastic properties of tungsten.
Abstract: An atomic model is set up for the purpose of finding the normal modes of vibration of a body-centered cubic lattice. A method is presented for selecting suitable atomic force constants from the macroscopic elastic properties of tungsten, which satisfy the isotropy condition but not the Cauchy relation. Actual solutions of the secular equation are then carried out under the assumption that each atom is affected by only its fourteen nearest neighbors. Numerical computations yield a frequency distribution characterized by two steep maxima. This is used in evaluating the specific heat and the intensity of reflection of x-rays as functions of temperature, and the results are compared with the Debye theory.
67 citations
TL;DR: In this paper, the structural, elastic, and thermodynamic properties of the four main intermetallic phases, namely, MgZn 2, Al 2 CuMg, Al 2 Zr, and Al 3 Zr were investigated.
67 citations
TL;DR: In this article, a generalized version of the Bloch theory is proposed to take account of the thermal lattice vibrations, and formulae for the transport properties are obtained for the case of sodium.
Abstract: The scattering of electrons by the thermal lattice vibrations is considered. The original Bloch theory is qualitatively in agreement with experiment, but has been shown by various authors to be unrealistic in its detailed assumptions. In particular, it ignores Umklapp processes, neglects the difference between longitudinal and transverse phonon velocities, and treats electron-phonon interaction as if it were independent of the scattering angle. The Bloch theory is generalized to take account of these effects, and formulae are obtained for the transport properties. Numerical calculations for the case of sodium, using the Bardeen (1937) formula for the scattering cross-section and Blackman’s (1951) value for a ‘longitudinal Debye temperature’, agree better with observation than do the simple Bloch expressions, but there still remain discrepancies. An alternative description of these is to treat the differential scattering cross-section, which is not really known exactly, as if it were an unknown function to be determined. The observed electrical and thermal conductivities of sodium are consistent with a cross-section which has a narrower forward lobe than the Bardeen formula, but does not become so small for scattering in the backward direction.
66 citations