• Title/Summary/Keyword: Mass action law

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Ion Exchange Modeling with Mass Action Law and Surface Complexation Models (질량작용법칙과 표면착화모델을 이용한 이온교환 모델링)

  • 안현경;김상대;이인형
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.4 no.3
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    • pp.296-300
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    • 2003
  • A large equilibrium and kinetic data set for multi-component cation exchanges was obtained and tested with mass action law and surface complexation model. The systematic batch equilibrium and column experiments of cation adsorption were conducted for binary, ternary, quaternary, and quinary cation exchanges involving $ H^{+}, Li^ {+}, Na^{+}, NH$_4$^{+}, Mg^{2+} $ on a strongly acidic cation exchange resin IRN 77. The mass action law and surface complexation model were tested against both data set to investigate the consistency of ion selectivity and their predictability for competitive cation exchanges. Surface complexation model provided more accurate predictions for both equilibrium and kinetic experimental data than mass action model.

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Effect of Zinc Vacancy on Carrier Concentrations of Nonstoichiometric ZnO

  • Kim, Eun-Dong;Bahng, Wook
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.05b
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    • pp.17-21
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    • 2001
  • We proposed that concentrations of cartier electron as well as ionized donor defects in nonstoichiometric ZnO are proportional to $P^{-1/2}_{O_2}$, whenever they ionizes singly or doubly, by employing the Fermi-Dirac (FD) statistics for ionization of the native thermal defects $Zn_i$ and $V_o$. The effect of acceptor defect, zinc vacancy $V_{Zn}$made by the Frenkel and Schottky disorder reactions, on carrier concentrations was discussed. By application of the FD statistics law to their ionization while the formation of defects is assumed governed by the mass-action law, the calculation results indicate; 1. ZnO shows n-type conductivity with $N_D>$N_A$ and majority concentration of $n{\propto}\;P^{-1/2}_{O_2}$ in a range of $P_{O_2}$, lower than a critical value. 2. As the concentration of acceptor $V_{Zn}$ increases proportional to $P^{1/2}_{O_{2}}$, ZnO made at extremely high $P_{O_{2}}$, can have p-type conductivity with majority concentration of p ${\propto}\;P^{-1/2}_{O_{2}}$. One may not, however, obtain p-type ZnO if the pressure for $N_{D}<$N_{A}$ is too high.

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Calculation of Carrier Electron Concentration in ZnO Depending on Oxygen Partial Pressure

  • Kim, Eun-Dong;Park, Jong-Mun;Kim, Sang-Cheol;Kim, Nam-Kyun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.05b
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    • pp.222-232
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    • 2000
  • The relationship between carrier electron concentration(n) and atmosphere oxygen partial pressure($P_{O_2}$ for pure ZnO calculated by the mass-action law, well-known as n ${\propto}P^{-1/m}_{O_2}$ where m = 4 or 6 for the single or the double ionization of the native donor defects due to its nonstoichiometry, respectively, is found in competition with the calculation result on the basis that the total defect concentration is the sum of those of unionized and ionized defects. Definitively, it is found inconsistent with the calculation result by employing the Fermi-Dirac(FD) statistics for their ionization processes. By application of the FD statistics law to the ionization while assuming the defect formation is still ruled by the mass-action law, the calculation results shows the concentration is proportional to $P^{-1/2}_{O_2}$ whenever they ionize singly and/or doubly. Conclusively we would like to propose the new theoretical relation n ${\propto}P^{-1/m}_{O_2}$ because the ionization processes of donors in ZnO should be treated with the electronoccupation probability at localized quantum states in its forbidden band created by the donor defects, i.e. the FD statistics

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Ion Exchange Modeling with Mass Action Law and Surface Complexation Models (질량작용법칙과 표면착화모델을 이용한 이온교환 모델링)

  • 이인형;안현경;김상대
    • Proceedings of the KAIS Fall Conference
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    • 2003.06a
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    • pp.322-324
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    • 2003
  • 이온교환은 액체상에 존재하는 이온과 고체상에 존재하는 이온이 당량적으로 치환되는 것으로 정의하며, 치환되는 정도는 일반적으로 전하의 크기와 이온이 수화반경에 따라 달라진다. 지금까지의 이온교환 반응에 대한 모델링 연구는 실험식, 질량작용식, 열역학식, 전기이중층이론, 표면착화모델 등을 이용하여 2 성분에 대하여 다양한 시도를 하였다. 본 연구에서는 2, 3, 4성분에 대해 질량작용법칙과 전기이중층이론을 조합한 표면착화모델과 질량작용법칙을 이용한 모델을 수행하였다. 그 결과 표면착화모델이 질량작용법칙을 이용한 것보다 실험치와 일치함을 알 수 있었다.

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Examination on Active Pneumatic Vibration Isolation Table with Moving Masses on It by Time Delay Control (이동 질량을 포함하는 능동형 공압제진대에 대한 시간지연제어기법의 적용 검토)

  • Shin, Yun-Ho;Moon, Seok-Jun;Chung, Jung-Hoon;Kim, Byung-Hyun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.9
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    • pp.858-867
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    • 2011
  • As applying an active control technique to a pneumatic vibration isolation system, the settling time for the payload excitation could be remarkably reduced as well as the improvement of isolation performance for the ground vibration. Some previous researches were dealt with the settling time through the simulation or experiment but, the discussion on the simulation or experimental results including moving parts, such as a XY-stage, on the isolation table rarely exists. As considering the moving part, the dynamic model could be time varying system and in such a case the force imposed on pneumatic vibration isolation table could be described by inertial forces of moving parts according to Newton's 3rd law, the action and reaction law. In this paper, the simulation procedure of the 3-DOF active pneumatic vibration isolation system including moving parts by TDC(time delay control) technique is proposed and the effectiveness through simulation results are also shown.

Physical Properties of Mercaptopyruvic-acid Layer Formed on Gold Surfaces

  • Park, Jin-Won
    • Bulletin of the Korean Chemical Society
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    • v.32 no.8
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    • pp.2611-2616
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    • 2011
  • We studied the physical properties of the mercaptopyruvic-acid layer formed on gold surfaces, which has the interactions with the titanium dioxide surface for design of gold- titanium dioxide distribution. Surface force measurements were performed, using the atomic force microscope (AFM), between the surfaces as a function of the salt concentration and pH value. The forces were analyzed with the DLVO (Derjaguin-Landau-Verwey-Overbeek) theory, to evaluate the potential and charge density of the surfaces quantitatively for each salt concentration and each pH value. The difference in the properties reflected the effect of the isoelectric point on the surface forces. The forces were interpreted for the evaluation with the law of mass action and the ionizable groups on the surface. The salt concentration dependence of the surface properties, found from the measurement at pH 8.0, was consistent with the prediction from the law. It was found that the mercaptopyruvic-acid layer had higher values for the surface charge densities and potentials than the titanium dioxide surfaces at pH 8, which may be attributed to the ionized-functional-groups of the mercaptopyruvic-acid layer.

Electrostatic Properties of N-Acetyl-Cysteine-Coated Gold Surfaces Interacting with ZrO2 Surfaces

  • Park, Jin-Won
    • Bulletin of the Korean Chemical Society
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    • v.33 no.9
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    • pp.2855-2860
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    • 2012
  • The coating N-acetyl cysteine (NAC) on gold surfaces may be used to design the distribution of either gold particle adsorbed to the $ZrO_2$ surface or vice versa by adjusting the electrostatic interactions. In this study, it was performed to find out electrostatic properties of the NAC-coated-gold surface and the $ZrO_2$ surface. The surface forces between the surfaces were measured as a function of the salt concentration and pH value using the AFM. By applying the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory to the surface forces, the surface potential and charge density of the surfaces were quantitatively acquired for each salt concentration and each pH value. The dependence of the potential and charge density on the concentration was explained with the law of mass action, and the pH dependence was with the ionizable groups on the surface.

Electrical Properties of Piezoceramic PZT with $Nb_2O_5$ Dopant ($Nb_2O_5$를 첨가한 압전 세라믹 PZT의 전기적 특성)

  • Park, J.H.;Choi, H.I.;SaGong, G.
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.336-338
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    • 1991
  • Effects of $Nb_2O_5$ addition ranged from 0.0 to 0.75(wt%) on the microstructure and electrical porperties of PZT ceramics have been investigated. The Pb vacancy concentration increases with increasing NbO content. However, the experimental results show the resistivity increases with increasing $Nb^{5+}$ content. This behavior can be explained as a compensation effect and $Nb^{5+}$ can serve as a donar and contribute electrons to the conduction process. According to the law of mass action, this result may reduce the total charge carrier:thus the resistivity increase with NbO content in PZT.

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Elastodynamic Response of a Crack Perpendicular to the Graded Interfacial Zone in Bonded Dissimilar Materials Under Antiplane Shear Impact

  • Kim, Sung-Ho;Choi, Hyung-Jip
    • Journal of Mechanical Science and Technology
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    • v.18 no.8
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    • pp.1375-1387
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    • 2004
  • A solution is given for the elastodynamic problem of a crack perpendicular to the graded interfacial zone in bonded materials under the action of anti plane shear impact. The interfacial zone is modeled as a nonhomogeneous interlayer with the power-law variations of its shear modulus and mass density between the two dissimilar, homogeneous half-planes. Laplace and Fourier integral transforms are employed to reduce the transient problem to the solution of a Cauchy-type singular integral equation in the Laplace transform domain. Via the numerical inversion of the Laplace transforms, the values of the dynamic stress intensity factors are obtained as a function of time. As a result, the influences of material and geometric parameters of the bonded media on the overshoot characteristics of the dynamic stress intensities are discussed. A comparison is also made with the corresponding elastostatic solutions, addressing the inertia effect on the dynamic load transfer to the crack tips for various combinations of the physical properties.

Effect of 11-Mercaptoundecylphosphoric-acid Layer Formation on Gold Surfaces Interacting with Titanium Dioxide Surfaces

  • Park, Jin-Won
    • Bulletin of the Korean Chemical Society
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    • v.31 no.10
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    • pp.2861-2866
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    • 2010
  • We studied effects of the 11-Mercaptoundecylphosphoric-acid layer formation on gold surfaces that have the interactions with the titanium dioxide surface for design of gold- titanium dioxide distribution. The atomic force microscope (AFM) was used to measure forces between the surfaces as a function of the salt concentration and pH value. The forces were analyzed with the DLVO (Derjaguin-Landau-Verwey-Overbeek) theory, to evaluate the potential and charge density of the surfaces quantitatively for each salt concentration and each pH value. The interpretation for the evaluation was performed with the law of mass action and the ionizable groups on the surface.