• Title/Summary/Keyword: Debye Equation

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Activity Coefficients of Uni-univalent Electrolytes in Anhydrous Ethylenediamine (에틸렌디아민 非水溶液中에서의 1:1 염의 活性係數)

  • Joon Yong Kim
    • Journal of the Korean Chemical Society
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    • v.17 no.4
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    • pp.229-234
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    • 1973
  • The dependence of ionic activity and electrode potential upon electrolyte concentration in ethylenediamine includes the effects of ion-pair formation involving all possible combinations of cations and anions represent in the solution and includes the ion-atmosphere effects of dissociated ions. For calculating activity coefficients, Debye-Huckel limiting law, extended Debye-Huckel,equation, and Marshall Grunwald equation were used in comparison of experimental and calculated plots of the electromotive force of the cell versus the logarithum of concentration. The fit of the experimental points to the theoretical curves was improved in case of the Marshall-Grunwald equation.

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A Semi-empirical Equation for Activity Coefficients of Ions with One Parameter

  • Lee, Jai-Yeop;Han, Ihnsup
    • Bulletin of the Korean Chemical Society
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    • v.34 no.12
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    • pp.3709-3714
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    • 2013
  • Based on the Debye-H$\ddot{u}$ckel equation, a semi-empirical equation for activity coefficients was derived through empirical and theoretical trial and error efforts. The obtained equation included two parameters: the proportional factor and the effective radius of an ionic sphere. These parameters were used in the empirical and regression parameter fitting of the calculated values to the experimental results. The activity coefficients calculated from the equation agreed with the data. Transforming to a semi-empirical form, the equation was expressed with one parameter, the ion radius. The ion radius, ${\alpha}$, was divided into three parameters, ${\alpha}_{cation}$, ${\alpha}_{anion}$ and ${\delta}_{cation}$, representing parameters for the cation, anion and combination, respectively. The advantage of this equation is the ability to propose a semi-empirical equation that can easily determine the activity coefficient with just one parameter, so the equation is expected to be used more widely in actual industry applications.

A Method of Computing the Frequency-Dependent Ground Impedance of Horizontally-buried Wires (수평으로 매설된 도선의 접지임피던스의 주파수의존성을 계산하는 기법)

  • Cho, Sung-Chul;Lee, Bok-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.5
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    • pp.745-752
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    • 2016
  • The parameters of Debye's equation were applied to analyze the frequency-dependent ground impedance of horizontally-buried wires. We present a new method, based on Debye's equation, of analyzing the effect of polarization on frequency-dependent ground impedance. The frequency-dependent ground impedances of a horizontally-buried wire are directly measured and calculated by applying sinusoidal current in the frequency range of 100 Hz to 10 MHz. Also, the results obtained in this work were compared with the data calculated from empirical equations and commercial programs. A new methodology using the delta-gap source model is proposed in order to calculate frequency-dependent ground impedance when the ground current is injected at the middle-point of the horizontal ground electrode. The high frequency ground impedance of horizontal electrodes longer than 30 m is larger or equal to its low frequency ground resistance. Consequently, the frequency-dependent ground impedance simulated with the proposed method is in agreement with the experimental data, and the validity of the computational simulation approach is confirmed.

Numerical Calculation for Impedance of Horizontal Ground Electrode for Information and Communication Facilities with Considering Characteristics of Permittivity in Soil (토양의 유전율 특성을 고려한 정보통신설비용 수평접지전극의 임피던스 계산)

  • Ahn, Chang-Hwan
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.10
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    • pp.245-251
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    • 2013
  • An impedance of ground electrode for information and communication facilities has a significant relationship with the electrical characteristics of soil where the ground electrode is buried. Especially, the impedance of ground electrode is directly affected by the characteristics of permittivity and conductivity in soil as a function of a frequency of an applied electric field. The program based on the electromagnetic field model was developed in MATLAB. Because both permittivity and conductivity can not be modified in commercial programs. The permittivity of soil was applied with the Debye equation which is a model of dielectric relaxation. And the empirical equation of the conductivity in soil was quoted in other paper. In order to confirm the reliability of proposed program, the impedance measurement of ground electrode was carried out, which were compared with the results of simulation in commercial program. In result, it was confirmed that the impedance and phase different simulated by appling the characteristics of permittivity and conductivity in soil are in good agreement with the measured values than results of NEC.

Analysis of Transient Potential Rises of Horizontal Ground Electrodes Considering the Frequency-Dependent of Soil (토양의 주파수의존성을 고려한 정보통신설비용 수평접지전극의 과도전위상승 분석)

  • Ahn, Chang Hwan
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.2
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    • pp.147-153
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    • 2016
  • The lightning protection of information and communication facilities is very important factor to improve a reliability of the action of these equipment. Especially the transient potential rise of ground electrode being injected with the lightning current is to be a basic data of the dielectric strength for both power and communication facilities so that more accurate analysis should be required. The transient potential rise can be calculated from the ground impedance and the ground impedance is strongly dependent upon the shape of the ground electrode and the frequency-dependence of soil. The Debye's equation which is able to calculate the characteristics of dielectrics is used to analyze the frequency-dependent of soil. Also, the method to calculate the transient potential rise from the ground impedance is specified in this paper. In order to analyze the transient potential rise resulting from calculations with Debye's equation, TLM(transmission line method) and case of ${\rho}$(resistivity)-constant are simulated, respectively. The length of a horizontal ground electrode is 30 m and simulations were performed at 10, 100, $1000{\Omega}{\cdot}m$ with the standard lightning current waveform. In result, the transient potential rise of horizontal ground electrode calculating with Debye's equation is lower than it of other models.

The Effect of Hygrothermal Aging on the Properties of Epoxy Resin

  • Wang, Youyuan;Liu, Yu;Xiao, Kun;Wang, Can;Zhang, Zhanxi
    • Journal of Electrical Engineering and Technology
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    • v.13 no.2
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    • pp.892-901
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    • 2018
  • Because of excellent electrical properties, epoxy resin is widely used in packaging and casting power equipment. Moisture and temperature in the environment are inclined to seriously affect the insulation tolerance of epoxy resin. This work focuses on the aging characteristics of epoxy resin in hygrothermal environment. Scanning electron microscopy images show that there are micro-crack, micro-slit and holes inside aged samples. The moisture absorption process undergoes three equilibrium stages and it does not follow the Fick's second law. Observing the change of hydrogen bonds in the infrared spectra of the dried samples, it is found that chemically moisture absorption immerges when the physical moisture absorption entered the third equilibrium stage. By Debye equation to fit the imaginary part of the dielectric constant, it is concluded that the uniformity of water molecule has a great influence on the electrical conductivity loss. Furthermore, the polarization loss can be more easily affected by water molecules than small free molecules. After the aged samples being dried, their real and imaginary part of the dielectric constant descend, but their original electrical properties cannot completely restored. After chemical moisture absorption appears inside the material, the residual space charges increase significantly and the charge dissipation rate slow down obviously.

Hydrothermal Synthesis of Fe Based MOFs with Energy Economy Approach

  • Israr, Farrukh;Kim, Duk Kyung;Kim, Yeongmin;Oh, Seung Jin;Ng, Kim Choon;Chun, Wongee
    • Journal of Energy Engineering
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    • v.24 no.2
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    • pp.55-58
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    • 2015
  • The mesoporous metal organic framework structure Fe-BTC was successfully synthesized by hydrothermal process with noticeable yield. The synthesis operation was conducted at intermediate temperature and for shortened operation time as compared to conventional procedures. This process approach with reduced operating temperature and shortened operation time may open an opportunity window towards process economy with reduction in energy consumption. A simple mathematical approach of diffraction indexing using X-ray diffraction patterns of synthesized powder was employed to confirm its crystalline nature and to investigate its high temperature stability. The crystallite size was calculated by using Debye-Scherrer equation.

Electric Conductance of Dilute Solutions of Alkali Chlorides in Acetone-Water and Formic Acid-Water Mixtures (아세톤-물 및 포름酸-물 混合溶媒中에서의 알칼리 鹽化物溶液의 電導度)

  • Byung-Rin Cho;Yong-Ja Lee;Kwang-Ho Kim
    • Journal of the Korean Chemical Society
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    • v.22 no.1
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    • pp.12-18
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    • 1978
  • The electric conductances of dilute solutions of alkali chlorides (LiCi, NaCl, KCl, RbCl, CsCl) in a series of acetone-water and formic acid-water mixtures were determined respectively at $^30{\circ}C$. The results of the conductances of alkali chlorides in acetone-water mixtures were analysed by the Debye-Huckel-Onsager equation and the variations of limiting equivalent conductances with the compositions of acetone-water mixtures were explained in terms of selective solvation of electrolytes. The conductances of dilute solutions of alkali chlorides in formic acid-water could not be analysed because of the strong ionic atmosphere of solvent itself.

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A New Method of Estimating the Buried Location and Extracting Approximate image of Underground Structures using Ground Penetrating Radar (지하 탐사용 레이다를 이용한 지하 구조물의 위치 파악법 및 근사 이미지 추출법)

  • 김동호;이승학;김채영
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.4
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    • pp.565-574
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    • 2000
  • A new ground penetrating radar imaging method for the estimation of buried artificial structures location and their approximate shapes in dispersive lossy ground is investigated. Fundamental idea is based on estimating delayed time and amplitude retrieval coefficients from scattered signals by buried scatterers. Using absolute value integration of each scanning site not only improve the accuracy of measured scattered signal, but also offers convenient ways to extract the image of buried structures. Multi-term Debye model was employed to describe a dispersive and lossy ground medium. We used the finite difference time domain method to discretize the wave equation in continuous form into the machine suitable form. This imaging method uses a new wave path tracing technique in time domain, which is helpful to identify the exact position of buried structures against the ground surface fluctuations.

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Electrical Repulsive Energy between Two Cylindrical Particles with Finite Length: Configuration Dependence

  • Choi, Ju-Young;Dong, Hyun-Bae;Haam, Seung-Joo;Lee, Sang-Yup
    • Bulletin of the Korean Chemical Society
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    • v.29 no.6
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    • pp.1131-1136
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    • 2008
  • The electrical repulsive energy between two model cylinders was calculated by solving nonlinear Poission- Boltzmann (P-B) equation under Derjaguin approximation. Effects of the surface potential, Debye screening length, and configuration of cylinders on the repulsive interaction energy were examined. Due to the anisotropy of the shape of cylinder, the interaction repulsive energy showed dependence to the configuration of particles; cylinders aligned in end-to-end configuration showed largest repulsive energy and crossed particles had lowest interaction energy. The configuration effect is originated from the curvature effect of the interacting surfaces. The curved surfaces showed less repulsive energy than flat surfaces at the same interacting surface area. The configuration dependency of interaction energy agreed with the previous analytical solution obtained under the linearized P-B equation. The approach and results present in this report would be applicable in predicting colloidal behavior of cylindrical particles.