• Title/Summary/Keyword: Debye Functions

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ESTIMATIONS OF HEAT CAPACITIES FOR ACTINIDE DIOXIDE: UO2, NpO2, ThO2, AND PuO2

  • Eser, E.;Koc, H.;Gokbulut, M.;Gursoy, G.
    • Nuclear Engineering and Technology
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    • v.46 no.6
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    • pp.863-868
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    • 2014
  • The evaluation of thermal properties of actinide oxide fuels is a problem of high importance for the development of new generation reactors. In the present study, an expression obtained for n-dimensional Debye functions is used to derive a simple analytical expression for the specific heat capacity of nuclear fuels. To test the validity and reliability of this expression, the analytical expression is applied to $UO_2$, $NpO_2$, $ThO_2$, and $PuO_2$. It is seen that the formula was in agreement with the experimental and theoretical results reported in the literature.

High-precision THz Dielectric Spectroscopy of Tris-HCl Buffer

  • Lee, Soonsung;Kang, Hyeona;Do, Youngwoong;Lee, Gyuseok;Kim, Jinwoo;Han, Haewook
    • Journal of the Optical Society of Korea
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    • v.20 no.3
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    • pp.431-434
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    • 2016
  • Tris-HCl buffer solution is extensively used in biochemistry and molecular biology to maintain a stable pH for biomolecules such as nucleic acids and proteins. Here we report on the high-precision THz dielectric spectroscopy of a 10 mM Tris-HCl buffer. Using a double Debye model, including conductivity of ionic species, we measured the complex dielectric functions of Tris-HCl buffer. The fast relaxation time of water molecules in Tris-HCl buffer is ~20% longer than that in pure water while the slow relaxation time changes little. This means that the reorientation dynamics of Tris-HCl buffer with such a low Tris concentration is quite different from that of pure water.

Transient Analysis of General Dispersive Media Using Laguerre Functions (라게르 함수를 이용한 일반적인 분산 매질의 시간 영역 해석)

  • Lee, Chang-Hwa;Kwon, Woo-Hyen;Jung, Baek-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.10
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    • pp.1005-1011
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    • 2011
  • In this paper, we present a marching-on-in-degree(MOD) finite difference method(FDM) based on the Helmholtz wave equation for analyzing transient electromagnetic responses in a general dispersive media. The two issues related to the finite difference approximation of the time derivatives and the time consuming convolution operations are handled analytically using the properties of the Laguerre functions. The basic idea here is that we fit the transient nature of the fields, the flux densities, the permittivity with a finite sum of orthogonal Laguerre functions. Through this novel approach, not only the time variable can be decoupled analytically from the temporal variations but also the final computational form of the equations is transformed from finite difference time-domain(FDTD) to a finite difference formulation through a Galerkin testing. Representative numerical examples are presented for transient wave propagation in general Debye, Drude, and Lorentz dispersive medium.

Linear Dielectric Relaxations in Copolymers of Vinylidence Cyanide (VDCN계(系) 공중합체(共重合體)의 선형(線刑) 유전특성(誘電特性))

  • Kang, Dae-Ha;Lee, Duck-Chool
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.186-188
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    • 1988
  • Relaxation spectra of the linear dielectric constants $\varepsilon=\varepsilon'-j{\varepsilon}"$ have been measured as functions of temperature and frequency for alternating copolymers of vinylidene cyanide (VDCN/VAc, VDCN/VPr, VDCN/VBz and VDCN/St) It is found that the linear dielectric constants e show characteristics of the temperature dependence that the real part have a large peak related to the glass transition point(Tg), and of the frequency dependence that the real port increases with decreasing frequency and the imaginary part increases largely in low frequency range. These phenomena mean Debye-type relaxation due to the micro-Brownian moi ions of non-crystalline seqments.

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Application of Liquid Theory to Sodium-Ammonia Solution

  • Lee, Jong-Myung;Jhon, Mu-Shik
    • Bulletin of the Korean Chemical Society
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    • v.2 no.3
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    • pp.90-96
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    • 1981
  • The significant structure theory of liquids has been successfully applied to the sodium ammonia solution. In applying the theory to sodium ammonia solution, we assumed there were four species in solution, i.e., sodium cation, solvated electron, triple ion, and free electron and equilibria existed between them. Based on these assumptions, we set up the model explaining the anomalous properties of sodium ammonia solution. The partition function for sodium ammonia solution is composed of the partition functions for the above four species and also for the Debye-Huckel excess free energy term. Agreements between calculated and experimental values of the thermodynamic quantities, such as molar volume, vapor pressure, partial molar enthalpy and entropy, and chemical potential as well as viscosity are quite satisfactory.

Nonlinear Dielectric Properties of Amorphous copolymers (무정형 고분자 재료의 비선형 유전특성)

  • Roh, Il-Soo;Hwang, Jung-Youn;Kang, Dae-Ha;Lee, Duck-Chool
    • Proceedings of the KIEE Conference
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    • 1999.07d
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    • pp.1563-1565
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    • 1999
  • Linear and nonliear complex permittivities have been measured for amorphous copolymers of vinylidene cyanide (VDCN) with vinyl acetate (VAc), vinyl propionate (VPr), vinyl benzoate (VBz), styrene (St) and methyl methacrylate (MMA). It is found that the third order permittivity ${\varepsilon}_3$ depends upon frequency according to a function ${\Delta}_{{\varepsilon}_3}/(1+i{\omega}{\tau}_^3)$ while the linear permittivity obeys a Debye function ${\Delta}_{{\varepsilon}_1}/(1+i{\omega}{\tau}_1)$. Experimental results are well fitted by the above predicted functions except at low frequencies where dc conduction dominates. The ${\tau}_1$ and ${\tau}_3$ are nearly equal, and depend upon temperature according to a WLF form. The relaxation strength ${\Delta}_{{\varepsilon}_1}$ depends upon comonomers ranging from $130_{{\varepsilon}_0}$(VAc) to $20{{\varepsilon}_0}$(MMA). The ${\Delta}_{{\varepsilon}_3}$ is negative and depends more strongly upon comonomers. Combined knowledge about linear and nonlinear permittivities predicts very large correlation factors which indicates strongly cooperative dipolar motions in those amorphous copolymers.

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Nonlinear Dielectric Relaxation in VDCN/VPr Copolymer (VDCN/VPr 공중합체(共重合體)의 비선형(非線形) 유전특성(誘電特性))

  • Lee, Duck-Chool;Kang, Dae-Ha
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.356-358
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    • 1989
  • Linear and nonlinear complex permittivities have been measured for an alternating copolymer of vinylidene cyanide(VSCN) with vinyl propionale(VPr). It is found that the third order permittivity ${\varepsilon}_3$ depends upon frequency according to a function V ${\varepsilon}_3$/ ${1+(j{\omega}{\tau}_3)^{\beta}}^3$ while the linear permittivity ${\varepsilon}_1$obeys a Debye type function ${\nabla}{\varepsilon}_1$/ {1+$(j{\omega}{\tau}_1)^{\beta}$}. Experimental results are well fitled by predicted functions except at low frequency where dc conduction dominates. The relaxation times ${\tau}_1$ and ${\tau}_3$ at same teperature are nealy equal and depend upon temperature according to WLF form. The relaxation strengths ${\nabla}{\varepsilon}_1$ and ${\nabla}{\varepsilon}_3$ have a peak at the vicinity of glass transition temperature (Tg). The strength ${\nabla}{\varepsilon}_1$ has a value of -9 order and ${\nabla}{\varepsilon}_3$ has a negative value of -25 order. The analysis of mechanism by combined knowledge about linear and nonlinear permittivities and dipole moment gives us an imformation of the electrical and thermal dipolar motions in this copolymer.

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