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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 article, a new method is presented to solve the inaccuracy issue of the extraction of the dielectric constant by applying customized electromagnetic simulation based on a new rapid plane solver instead of analytical equations.
Abstract: Dielectric material properties of printed circuit boards (PCBs) are needed by designers working in various areas such as signal integrity, antennas, and embedded RF components. Among many methods to extract the material properties, the full sheet resonance technique is commonly used on PCBs due to its simplicity. The disadvantage of this method is that an analytical equation is used to extract the dielectric constant, which is accurate only for lossless dielectrics. In this paper, a new method is presented to solve the inaccuracy issue of the extraction of the dielectric constant by applying customized electromagnetic simulation based on a new rapid plane solver instead of analytical equations. For PCB dielectrics, the loss tangent tends to be flat over several decades. The dielectric constant then varies as a function of frequency based on the Kronig-Kramers relations. This paper introduces a new Debye type of a model for the complex permittivity of such dielectrics. The parameters of the Debye model can be obtained analytically without requiring any curve fitting. The resulting Debye model can then be easily integrated in SPICE or a finite-difference time-domain simulator.
43 citations
TL;DR: In this article, the electronic structure, mechanical and thermal properties of La2B2O7(B Zr, Sn, Hf and Ge) pyrochlore were investigated.
43 citations
TL;DR: In this article, the elastic anisotropy ratio, C44/C′, was found to follow the behavior predicted by Fisher for transition-metal alloys, which indicates decreasing stability of the bcc structure.
Abstract: The adiabatic single−crystalline elastic constant of W−3 at.% Re and W−10 at.% Re were measured in the temperature range 77−298 °K. The elastic anisotropy ratio, C44/C′, was found to follow the behavior predicted by Fisher for transition−metal alloys. Re additions to W decrease the elastic constant C′ which indicates decreasing stability of the bcc structure. This behavior is believed to be related to the d−band structure. The Debye temperature for alloys was calculated and found not to vary appreciably from the value for pure W.
43 citations
TL;DR: In this article, the Debye temperature was measured from 2 to 12k for ZnS and up to 25k for CdTE and the results showed that these were within experimental error with those calculated from elastic moduli.
Abstract: Heat capacities have been measured from 2 to 12K for ZnS and up to 25K for ZnSe and CdTE Limiting values of the Debye temperature are theta 0=339K for ZnS, 271K for ZnSe and 161K for CdTe which agree, within experimental error, with those calculated from elastic moduli
43 citations
TL;DR: In this paper, structural, elastic, optical, thermodynamical, and electronic properties of yttrium oxide compound in cubic phase have been studied using the fullpotential augmented plane waves (FP-LAPW) within density functional theory (DFT) framework.
Abstract: Structural, elastic, optical, thermodynamical, and electronic properties of yttrium oxide compound in cubic phase have been studied using the full-potential augmented plane waves (FP-LAPW) within density functional theory (DFT) framework. Four different approximations were used for exchange-correlation potentials terms, comprised Perdew–Burke–Ernzerhof generalized parameterization of gradient approximation (GGA-PBE), Wu–Cohen (WC-GGA), local-density approximation (LDA), and new approximation modified Becke and Johnson (mBJ-GGA). The structural properties such as equilibrium lattice parameter, bulk modulus and its pressure derivative have been obtained using optimization method. Moreover, Elastic constants, Young's modulus, shear modulus, Poisson's ratio, sound velocities for longitudinal and shear waves, Debye average velocity, Debye temperature, and Gruneisen parameters have been calculated. Obtained structural, elastic and other parameters are consistent with experimental data. Moreover pressure dependence of the elastic moduli was studied. From electronic calculations, it has been found that the band gap was 5.7 eV at Г point in the Brillouin zone using mBJ-GGA approximation. Optical properties, such as the dielectric function, refractive index, extinction index, and optical band gap, were calculated for radiation up to 14 eV. In addition, the unique type of bonding in Y2O3 was discussed by three method including effective charge, B/G ratio, and charge density distribution.
43 citations