• 제목/요약/키워드: mass-action law

검색결과 25건 처리시간 0.017초

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

  • 안현경;김상대;이인형
    • 한국산학기술학회논문지
    • /
    • 제4권3호
    • /
    • pp.296-300
    • /
    • 2003
  • 다성분 양이온 교환을 위한 평형과 동역학 데이터는 질량 작용 법칙과 표면 착화 모델을 이용하여 수행 및 평가하였다. 양이온 흡착의 평형과 칼럼 실험은 양이온 교환 합성 수지 IRN 77로 H/sup +/, Li/sup +/, Na/sup +/, NH₄/sup +/, Mg²/sup +/ 이용하여 2, 3, 4, 5 성분 양이온 교환을 수행하였다. 질량 작용 법칙과 표면 착화 모델은 이온 선택도와 경쟁적 양이온 교환을 조사하기 위하여 데이터에 대해 시험하였다. 표면 착화 모델은 질량 작용 모델보다 평형과 동역학 실험 데이터를 정확히 예측하였다.

  • PDF

Effect of Zinc Vacancy on Carrier Concentrations of Nonstoichiometric ZnO

  • Kim, Eun-Dong;Bahng, Wook
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2001년도 춘계학술대회 논문집 반도체재료
    • /
    • pp.17-21
    • /
    • 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.

  • PDF

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

  • 김은동
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2000년도 영호남학술대회 논문집
    • /
    • pp.222-232
    • /
    • 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

  • PDF

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

  • 이인형;안현경;김상대
    • 한국산학기술학회:학술대회논문집
    • /
    • 한국산학기술학회 2003년도 춘계학술발표논문집
    • /
    • pp.322-324
    • /
    • 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.

  • PDF

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

  • 신윤호;문석준;정정훈;김병현
    • 한국소음진동공학회논문집
    • /
    • 제21권9호
    • /
    • pp.858-867
    • /
    • 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
    • /
    • 제32권8호
    • /
    • pp.2611-2616
    • /
    • 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
    • /
    • 제33권9호
    • /
    • pp.2855-2860
    • /
    • 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.

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

  • 박정학;최헌일;사공건
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1991년도 추계학술대회 논문집 학회본부
    • /
    • pp.336-338
    • /
    • 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.

  • PDF

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
    • /
    • 제18권8호
    • /
    • pp.1375-1387
    • /
    • 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
    • /
    • 제31권10호
    • /
    • pp.2861-2866
    • /
    • 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.