• Title/Summary/Keyword: Lennard-Jones Potential

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On the Vibration Analysis of AFM Microcantilevers Using Proper Orthogonal Modes (적합직교모드를 이용한 AFM 마이크로캔틸레버의 진동 해석에 대하여)

  • Lee, Soo-Il;Hwang, Cheol-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.756-759
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    • 2005
  • Dynamic force microscopy utilizes the dynamic response of a resonating probe tip as it approaches and retracts from a sample to measure the topography and material properties of a nanostructure. We present recent ideas based on proper orthogonal decomposition (POD) and detailed experiments that yield new perspectives and insight into AFM. A dynamic cantilever model with Lennrad-Jones interaction Potential which includes attractive and repulsive van der Waals demonstrates the resonable tapping mode response in time and frequency.

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Molecular dynamics study of liquid sodium film evaporation and condensation by Lennard-Jones potential

  • Wang, Zetao;Guo, Kailun;Wang, Chenglong;Zhang, Dalin;Tian, Wenxi;Qiu, Suizheng;Su, Guanghui
    • Nuclear Engineering and Technology
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    • v.54 no.8
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    • pp.3117-3129
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    • 2022
  • Deeply understanding the phase change of thin liquid sodium film inside wick pore is very important for further studying high-temperature sodium heat pipe's heat transfer. For the first time, the evaporation and condensation of thin liquid sodium film are investigated by the Lennard-Jones potential of molecular dynamics. Based on the startup and normal operation of the sodium heat pipe, three different cases are simulated. First, the equilibrium is achieved and the Mass Accommodation Coefficients of the three cases are 0.3886, 0.2119, 0.2615 respectively. Secondly, the non-equilibrium is built. The change of liquid film thickness, the number of gas atoms, the net evaporation flux (Jnet), the heat transfer coefficient (h) at the liquid-gas interface are acquired. Results indicate that the magnitude of the Jnet and the h increase with the basic equilibrium temperature. In 520-600 K (the startup of the heat pipe), the h has approached 5-6 W m-2 K-1 while liquid film thickness is in 11-13 nm. The fact shows that during the initial startup of the sodium heat pipe, the thermal resistance at the liquid-gas interface can't be negligible. This work is the complement and extension for macroscopic investigation of heat transfer inside sodium heat pipe. It can provide a reference for further numerical simulation and optimal design of the sodium heat pipe in the future.

An analysis for lubricants via molecular dynamics (분자동력학을 이용한 윤활유의 해석적 연구)

  • 김종억;김용섭
    • Journal of the korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.46-54
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    • 1984
  • We applies Molecular Dynamics simulation technics to a system of Lennard-Jones potential interacting Argon liquid to study shear flow behavior. The thermodynamic state of the system is .rho.=35.54 Kg, mole/m$^{3}$, T=86.5.deg. K which is the triple point of Argon liquid. We applies shear rate : .epsilon.=9.26*10$^{9}$ 1/sec in the system. We find the response function, shear viscosity changes, and shear rate build-up as a function of time. We also find the thermal conductivity in a soft-sphere system.

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A Study of Minute Particles' Adhesion on a Rough Surface for a Cryogenic $CO_2$ Cleaning Process (극저온 $CO_2$ 세정공정을 위한 거친표면 위 미세입자의 점착특성 연구)

  • Seok, Jong-Won;Lee, Seong-Hoon;Kim, Pil-Kee
    • Journal of the Semiconductor & Display Technology
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    • v.9 no.1
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    • pp.5-10
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    • 2010
  • Among a variety of cleaning processes, the cryogenic carbon dioxide ($CO_2$) cleaning has merits because it is highly efficient in removing very fine particles, innoxious to humans and does not produce residuals after the cleaning, which enables us to extend its area of coverage in the semi-conductor fabrication society. However, the cryogenic carbon dioxide cleaning method has some technical research issues in aspect to particles' adhesion and removal. To resolve these issues, performing an analysis for the identification of particle adhesion mechanism is needed. In this study, a research was performed by a theoretical approach. To this end, we extended the G-T (Greenwood-Tripp) model by applying the JKR (Johnson-Kendall-Roberts) and Lennard-Jones potential theories and the statistical characteristics of rough surface to investigate and identify the contact, adhesion and deformation mechanisms of soft or hard particles on the rough substrate. The statistical characteristics of the rough surface were taken into account through the employment of the normal probability distribution function of the asperity peaks on the substrate surface. The effects of surface roughness on the pull-off force for these particles were examined and discussed.

Adsorption Behavior of Monosubstituted-Halophenols by Amberlite XAD Resins (Amberlite XAD 수지에 대한 일치환 할로 페놀들의 흡착거동에 관한 연구)

  • Lee, Taek Hyeok;Lee, Dae Un
    • Journal of the Korean Chemical Society
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    • v.34 no.3
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    • pp.267-279
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    • 1990
  • The adsorption mechanisms of phenols on XAD-2 and XAD-7 resins were studied by using the distribution coefficient(log Kd) measured in the optimum adsorption conditions. It was observed that the Langmuir adsorption isotherm, indicating a molecular size-dependent adsorption, was appropriate for characterizing the adsorption behaviors of phenols on XAD-2 and XAD-7 resins. The adsorption energies of phenols on XAD resins were calculated by Lennard-Jones potential equation. In the calculation of the adsorption energy, the molecular radii and dipole moments of the resins and phenols were calculated by their van der Waals volumes and Debye equation, respectively. The stacking factor (F) were determined from the radio of the equilibrium distance to the stacking distance of molecules. In order to explain the adsorption energy calculated from the stacking factor it was compared with the adsorption enthalpy for each of phenols which was experimentally determined by batch adsorption shake method. It was observed that the adsorption enthalpy of phenolate ions on the XAD resins was likely to be more seriously affected by dispersion interaction than by a dipole or a charge interaction.

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Thermodynamic Model for Partition Coefficients in the Two Protein Systems

  • Jung, Chang-Min;Bae, Young-Chan;Kim, Jae-Jun
    • Macromolecular Research
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    • v.15 no.7
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    • pp.682-687
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    • 2007
  • The equation of state developed herein is predicated on a hard-sphere reference with perturbations introduced via a potential function to account for electrostatic forces and for attraction between protein particles. During this process, the generalized Lennard-Jones (GLJ) pair potential function is employed. The GLJ pair potential function is employed to represent the protein-protein interaction in two-protein systems. Via the use of the relation between the equation of state and the chemical potential, the phase behavior in the aqueous two-protein system can be estimated. The partition coefficients can be obtained via these processes. The calculated values of the coefficients agree fairly well with the experimental data in the given pH and ionic strength range, with no additional adjustable model parameters.

Osmotic Cross Second Virial Coefficient ($B_{23}$) of Unfavorable Proteins: Modified Lennard-Jones Potential

  • Choi, Sang-Ha;Bae, Young-Chan
    • Macromolecular Research
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    • v.17 no.10
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    • pp.763-769
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    • 2009
  • A chromatographic method is used to measure interactions between dissimilar proteins in aqueous electrolyte solutions as a function of ionic strength, salt type, and pH. One protein is immobilized on the surface of the stationary phase, and the other is dissolved in electrolyte solution conditions flowing over that surface. The relative retention of proteins reflects the mean interactions between immobile and mobile proteins. The osmotic cross second virial coefficient calculated by assuming a proposed potential function shows that the interactions of unfavorable proteins depend on solution conditions, and the proposed model shows good agreement with the experimental data of the given systems.

A Study on the Characteristics of Molecular Motions on a Liquid-Vapor Interface by a Molecular Dynamics Method (분자동역학법에 의한 기액계면 분자의 운동특성에 관한 고찰)

  • Kim Hye-Min;Park Kweon-Ha;Choi Hyun-Kue;Choi Soon-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.1
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    • pp.34-41
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    • 2005
  • An experimental study of molecular motions on a liquid-vapor interface is limited due to micro-scale characteristics of a system with an angstrom or a nanometer size Therefore, in recent, many studies for micro-scale systems have been conducted by a computer simulation because it is free from experimental limitations. In this study, through the molecular dynamic (MD) method. molecular behavior was clarified on a liquid-vapor interface and a criterion to distinguish between liquid and vapor was suggested by a potential energy and the number of neighboring molecules. At an interface. the potential energy of a molecule was increased but the number of neighboring molecules was decreased when the molecule moved into a vapor region from a liquid region, and vice versa.

Computer Simulation Studies of the Conformations of Polymeric Systems Near Surfaces as a Basic Research of the Elastomer (고무의 기초 연구로써 표면에 위치한 고분자 시스템 거동에 관한 수치모사 연구)

  • Kim, Myung-Yul;Park, Yung-Hoon
    • Elastomers and Composites
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    • v.35 no.1
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    • pp.29-37
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    • 2000
  • In this study as a basic research of the elastomer, we show the results of the behavior of the two different chain length polymers in the melt confined between two impenetrable planes. The cubic lattice simulations are conducted in the canonical ensemble with a method that is a combination of reptation and crackshaft bond flip motions. A total of 680 chains which are 544 short chains comprising 10 beads and 136 long chains comprising 160 beads were placed in 20 lattice layers. It was assumed that there is no energetic interactions between covalently connected beads. while all other neighbors will interact with a truncated 6-12 Lennard-Jones potential. From the analysis of the simulation results, it was shown that purely entropic effects caused the shorter chains to partition preferentially to the surface. We also showed that the center of mass density of the shorter chains shows maximum near the surface. This is the opposite phenomena when compared to that of the longer chains. However, the segments of the shorter and the longer chains did not display any significant changes in bond order.

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Analysis of Adsorption Phenomena of Hydrogen on Carbon Nanotube usint Molecular Simulation (분자 모사를 이용한 탄소나노튜브의 수소 흡착 현상 분석)

  • Chun, Dong Hyuk;Moon, Jong-Ho;Kim, Hyun Uk;Park, Young Cheol;Lee, Tai-Yong
    • Journal of Energy Engineering
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    • v.23 no.2
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    • pp.7-12
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    • 2014
  • Molecular simulation was performed to evaluate the possibility of hydrogen storage of carbon nanotubes. The equilibrium state of hydrogen adsorbed on carbon nanotubes was simulated by grand canonical Monte Carlo method at constant temperature and pressure. The interaction energy between hydrogen molecule and carbon nanotube was calculated by Lennard-Jones potential model. According to the interaction energy calculated, more hydrogen molecules were adsorbed on the inside than the outside of nanotubes. Whereas the adsorption strength was higher outside than inside. Adsorption capacity was investigated for various temperature and pressure. The maximum capacity of carbon nanotube for hydrogen storage was 2.5wt% at 200 K and 200 bar.