• 제목/요약/키워드: Diffusion-controlled reactions

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Inertial Dynamic Effect on the Rates of Diffusion-Controlled Ligand-Receptor Reactions

  • Lee, Woo-Jin;Kim, Ji-Hyun;Lee, Sang-Youb
    • Bulletin of the Korean Chemical Society
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    • 제32권spc8호
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    • pp.2973-2977
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    • 2011
  • It has been known that the inertial dynamics has a little effect on the reaction rate in solutions. In this work, however, we find that for diffusion-controlled reactions between a ligand and a receptor on the cell surface there is a noticeable inertial dynamic effect on the reaction rate. We estimate the magnitude of the inertial dynamic effect by comparing the approximate analytic results obtained with and without the inertial dynamic effect included. The magnitude of the inertial dynamic effect depends on the friction coefficient of the ligand as well as on the relative scale of the receptor size to the distance traveled by the ligand during its velocity relaxation time.

Diffusion-Controlled Reactions Involving a Reactant with Two Reaction Sites: Evaluation of the Utility of Wilemski-Fixman Closure Approximation

  • Uhm, Je-sik;Lee, Jin-uk;Eun, Chang-sun;Lee, Sang-youb
    • Bulletin of the Korean Chemical Society
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    • 제27권8호
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    • pp.1181-1185
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    • 2006
  • By using two different computer simulation methods, of which one produces exact results while the other is based on the Wilemski-Fixman closure approximation, we evaluate the utility of closure approximation in calculating the rates of diffusion-controlled reactions involving a reactant with multiple reaction sites. We find that errors in the estimates of steady-state rate constants due to closure approximation are not so large. We thus propose an approximate analytic expression for the rate constant based on the closure approximation.

고압하에서 수소-산소 확산화염의 소염 특성에 관한 수치 해석 (A numerical analysis on the extinction of hydrogen-oxygen diffusion flames at high pressure)

  • 손채훈;김종수;정석호;이수룡
    • 대한기계학회논문집B
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    • 제21권9호
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    • pp.1174-1184
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    • 1997
  • Extinction characteristics of pure hydrogen-oxygen diffusion flames, at high pressures in the neighborhood of the critical pressure of oxygen, is numerically studied by employing counterflow diffusion flame as a model flame let in turbulent flames in rocket engines. The numerical results show that extinction strain rate increases almost linearly with pressure up to 100 atm, which can be explained by comparison of the chain-branching-reaction rate with the recombination-reaction rate. Since contributions of the chain-branching reactions, two-body reactions, are found to be much greater than those of the recombination reactions, three-body reactions, extinction is controlled by two-body reactions, thereby resulting in the linearity of extinction strain rate to pressure. Therefore, it is found that the chemical kinetic behaviors don't change up to 100 atm. Consideration of the pressure fall-off reactions shows a slight increase in extinction strain rate, but does not modify its linearity to pressure. The reduced kinetic mechanisms, which were verified at low pressures, are found to be still valid at high pressures and show good qualitative agreement in prediction of extinction strain rates. Effect of real gas is negligible on chemical kinetic behaviors of the flames.

Calculation of the Absolute Rate of Human Cu/Zn Superoxide Dismutases from Atomic-Level Molecular Dynamics Simulations

  • Lee, Jin-Uk;Lee, Woo-Jin;Park, Hwang-Seo;Lee, Sang-Youb
    • Bulletin of the Korean Chemical Society
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    • 제33권3호
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    • pp.862-868
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    • 2012
  • Based on the recently derived general expression for the rates of diffusion-controlled reactions, we calculate the rates of dismutation of the superoxide anion radical catalyzed by Cu/Zn superoxide dismutases (SOD). This is the first attempt to calculate the absolute rates of diffusion-controlled enzyme reactions based on the atomiclevel molecular dynamics simulations. All solvent molecules are included explicitly and the effects of the structural flexibility of enzyme, especially those of side chain motions near the active site, are included in the present calculation. In addition, the actual mobility of the substrate molecule is taken into account, which may change as the molecule approaches the active site of enzyme from the bulk solution. The absolute value of the rate constant for the wild type SOD reaction obtained from MD simulation is shown to be in good agreement with the experimental value. The calculated reactivity of a mutant SOD is also in agreement with the experimental result.

질화알루미늄과 금속간 계면접합에 관한 연구: 계면반응과 미세구조 형성이 접합체 강도에 미치는 영향 (Joining of AIN Ceramics to Metals: Effect of Reactions and Microstructural Developments in the Bonded Interface on the Joint Strength)

  • 박성계
    • 한국분말재료학회지
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    • 제4권3호
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    • pp.196-204
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    • 1997
  • Joining of AIN ceramics to W and Cu by active-metal brazing method was tried with use of (Ag-Cu)-Ti alloy as insert-metal. Joints were produced under various conditions of temperature, holding time and Ti-content in (Ag-Cu) alloy Reaction and microstructural development in bonded interface were investigated through observation and analysis by SEM/EDS, EPMA and XRD. Joint strengths were measured by shear test. Bonded interface consists of two layers: an insert-metal layer of eutectic Ag- and Cu-rich phases and a reaction layer of TiN. Thickness of reaction layer increases with bonding temperature, holding time and Ti-content of insert-metal. It was confirmed that the growth of reaction layer is a diffusion-controlled process. Activation energy for this process was 260 KJ/mol which is lower than that for N diffusion in TiN. Maximum shear strength of 108 MPa and 72 MPa were obtained for AIN/W and AIN/Cu joints, respectively. Relationship between processing variables, joint strength and thickness of reaction layer was also explained.

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Cure Reactions of Epoxy/Anhydride/(Polyamide Copolymer) Blends

  • Youngson Choe;Kim, Wonho
    • Macromolecular Research
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    • 제10권5호
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    • pp.259-265
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    • 2002
  • The cure kinetics of blends of epoxy (DGEBA, diglycidyl ether of bisphenol A)/anhydride resin with polyamide copolymer, poly(dimmer acid-co-alkyl polyamine), were studied using differential scanning calorimetry (DSC) under isothermal condition. On increasing the amount of polyamide copolymer in the blends, the reaction rate was increased and the final cure conversion was decreased. Lower values of final cure conversions in the epoxy/(polyamide copolymer) blends indicate that polyamide hinders the cure reaction between the epoxy and the curing agent. The value of the reaction order, m, for the initial autocatalytic reaction was not affected by blending polyamide copolymer with epoxy resin, and the value was approximately 1.3, whereas the reaction order, n, for the general n-th order of reaction was increased by increasing the amount of polyamide copolymer in the blends, and the value increased from 1.6 to 4.0. A diffusion-controlled reaction was observed as the cure conversion increased and the rate equation was successfully analyzed by incorporating the diffusion control term for the epoxy/anhydride/(polyamide copolymer) blends. Complete miscibility was observed in the uncured blends of epoxy/(polyamide copolymer) up to 120 $^{\circ}C$, but phase separations occurred in the early stages of the curing process at higher temperatures than 120 "C. During the curing process, the cure reaction involving the functional group in polyamide copolymer was detected on a DSC thermogram.gram.

Formation Mechanism of Intermediate Phase in $Ba(Mg_{1/3}Ta_{2/3})O_3$ Microwave Dielectrics

  • Fang, Yonghan;Oh, Young-Jei
    • 한국세라믹학회지
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    • 제38권10호
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    • pp.881-885
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    • 2001
  • Kinetics and mechanisms of intermediate phases formation in $Ba(Mg_{1/3}Ta_{2/3})O_3$, obtained by a solid state reaction were studied. $Ba{Ta_2}{O_6}$ and ${Ba_4}{Ta_2}{O_9}$ as intermediate products were first formed at $700^{\circ}C$. $Ba(Mg_{1/3}Ta_{2/3})O_3$ was appeared at $800^{\circ}C$. Several reactions take place on heating process. $Ba{Ta_2}{O_6}$ is found at the first stage of the reaction, and then $Ba{Ta_2}{O_6}$ or ${Ba_4}{Ta_2}{O_9}$ react with MgO to form $Ba(Mg_{1/3}Ta_{2/3})O_3$. The reaction of $Ba(Mg_{1/3}Ta_{2/3})O_3$ formation does not complete until fired at $1350^{\circ}C$ for 60 min. The kinetics of solid-state reaction between powdered reactants was controlled by diffusion mechanism, and can be explained by the Jander's model for three-dimensional diffusion.

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액체 카드뮴 음극을 사용한 용융염 전해제련로 전산해석 (Computational Analysis for a Molten-salt Electrowinner with Liquid Cadmium Cathode)

  • 김광락;정용주;백승우;김지용;권상운;윤달성;김시형;심준보;김정국;안도희;이한수
    • 방사성폐기물학회지
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    • 제8권1호
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    • pp.1-7
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    • 2010
  • 본 연구에서는 LiCl-KCl/Cd계의 전해제련 공정을 대상으로 악티늄 및 희토류족 원소들의 전해이동을 모델링하고 해석하였다. 이 공정에서 용융염 전해질과 액체 카드뮴 음극간의 확산 경계층 계면에서 확산제한 전기화학반응 및 물질수지를 고려한 단순화된 동적모델을 수립하였다. 제안된 모델링 접근방법은 음극에서 일어나는 금속염의 반쪽 전지 환원반응에 기초를 둔 모델이다. 이 모델을 사용하여 정전류 전해공정에서 주어진 인가전류 조건을 만족하는 시간까지의 전해이동과 연계된 농도거동, 각 원소의 패러데이 전류 그리고 시간 함수의 전기화학 전위를 예측하는 가능성을 보여주었다. 선택된 5성분 원소(U, Pu, Am, La, Nd)계의 결과를 예비 모사하여 전산모델이 전기화학적 특성을 이해하고 개선된 전해제련로를 개발하기 위한 정보를 제공할 수 있는가를 평가하였다.

WETTING PROPERTIES AND INTERFACIAL REACTIONS OF INDIUM SOLDER

  • Kim, Dae-Gon;Lee, Chang-Youl;Hong, Tae-Whan;Jung, Seung-Boo
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2002년도 Proceedings of the International Welding/Joining Conference-Korea
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    • pp.475-480
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    • 2002
  • The reliability of the solder joint is affected by type and extent of the interfacial reaction between solder and substrates. Therefore, understanding of intermetallic compounds produced by soldering in electronic packaging is essential. In-based alloys have been favored bonding devices that demand low soldering temperatures. For photonic and fiber optics packaging, m-based solders have become increasingly attractive as a soldering material candidate due to its ductility. In the present work, the interfacial reactions between indium solder and bare Cu Substrate are investigated. For the identification of intermetallic compounds, both Scanning Electron Microscopy(SEM) and X-Ray Diffraction(XRD) were employed. Experimental results showed that the intermetallic compounds, such as Cu$_{11}$In$_{9}$ was observed for bare Cu substrate. Additionally, the growth rate of these intermetallic compounds was increased with the reaction temperature and time. We found that the growth of the intermetallic compound follows the parabolic law, which indicates that the growth is diffusion-controlled.d.

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A Study on Reaction Kinetics of PTMG/TDI Prepolymer with MOCA by Non-Isothermal DSC

  • Ahn, WonSool;Eom, Seong-Ho
    • Elastomers and Composites
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    • 제50권2호
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    • pp.92-97
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    • 2015
  • A study on reaction kinetics for a PTMG/TDI prepolymer with 2,2'-dichloro-4,4'-methylenedianiline (MOCA), of which formulations may be generally used for fabricating high performance polyurethane elastomers, was peformed using non-isothermal differential scanning calorimetry (DSC). A number of thermograms were obtained at several constant heating rates, and analysed using Flynn-Wall-Ozawa (FWO) isoconversional method for activation energy, $E_a$ and extended-Avrami equation for reaction order, n. Urea formation reaction of the present system was observed to occur through the simple exothermic reaction process in the temperature range of $100{\sim}130^{\circ}C$ for the heating rate of $3{\sim}7^{\circ}C/min$. and could be well-fitted with generalized sigmoid function. Though activation energy was nearly constant as $53.0{\pm}0.5kJ/mol$, it tended to increase a little at initial stage, but it decreases at later stage by the transformation into diffusion-controlled reaction due to the increased viscosity. Reaction order was evaluated as about 2.8, which was somewhat higher than the generally well-known $2^{nd}$ order values for the various urea reactions. Both the reaction order and reaction rate explicitly increased with temperature, which was considered as the indication of occurring the side reactions such as allophanate or biuret formation.