• 제목/요약/키워드: Excess Gibbs Energy

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난수 모의실험을 통한 격자용액의 과잉깁스에너지에 대한 고찰 (Study of Excess Gibbs Energy for a Lattice Solution by Random Number Simulation)

  • 정해영
    • 대한화학회지
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    • 제51권4호
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    • pp.312-317
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    • 2007
  • 난수 모의실험을 수행하여 격자 위에 분자를 무작위하게 배열하는 경우의 수의 분포를 다른 분자간의 최근린 상호작용수 N12에 대한 정규분포로 근사하였다. 이 분포로부터 논랜덤 혼합 격자용액의 과잉깁스 에너지 GE에 대한 근사식을 유도하였다. 이를 이용하여 여러 이성분용액의 액체-증기 상평형 계산을 하였고 기존의 식들의 계산 결과와 비교하여 보았다.

특정 상호작용을 갖는 논랜덤 혼합 격자 용액의 깁스 에너지 (Gibbs Energy of Nonrandomly Mixed Lattice Solutions with a Specific Interaction)

  • 정해영
    • 대한화학회지
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    • 제53권6호
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    • pp.663-670
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    • 2009
  • 논랜덤 혼합의 2-성분 격자용액에서 특정상호작용을 갖는 경우의 수에 대한 분포를 난수 모의실험을 통하여 구하였다. 이 분포로부터 2-성분격자용액의 과잉깁스에너지 $G^E$에 대한 근사식을 유도하였다. 이 식을 사용하여 15개의 2-성분용액에 대한 일정압력에서의 액체-증기 상평형 계산을 하였고 Wilson식, Van Laar식, Redlich-Kister식의 계산 결과와 비교하여 보았다.

III-V 삼상 화합물 반도체의 분자선 결정성장법에서의 열역학적 고찰

  • 오원웅;오재응;백수현
    • ETRI Journal
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    • 제13권4호
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    • pp.42-51
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    • 1991
  • MBE 성장시 기판 표면에서의 성장과정을 운동론적 지배과정과 열역학적 지배과정으로 나누어 성장모델을 제시하였으며, 화학적 평형상태에서의 열역학이 III-V compound의 성장속도와 composition 에 미치는 영향을 기존의 보고된 결과 데이터와 비교 분석하였다. 특히 miscibility gap 내에 존재하는 III-V ternary compound의 경우 박막의 성질 및 소자의 특성에 영향을 미치는 alloy clustering은 저온 성장시 surface kinetics에 의해, 고온성장시에는 열역학적 spinodal decomposition에 의해 결정됨을 알수 있었다. 열역학적 모델에서는 기판과 layer사이의 lattice mismatch와 재료의 elastic coefficient의 함수인 additive strain Gibbs free energy, 그리고 ternary solid solution의 regular behavior를 가정하여 ternary alloy의 mixing에 기인한 excess Gibbs free energy를 고려하였다.

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Excess Volumes, Speeds of Sound, Isentropic Compressibilities and Viscosities of Binary Mixtures of N-Ethyl Aniline with Some Aromatic Ketones at 303.15 K

  • Gowrisankar, M.;Sivarambabu, S.;Venkateswarlu, P.;Kumar, K. Siva
    • Bulletin of the Korean Chemical Society
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    • 제33권5호
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    • pp.1686-1692
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    • 2012
  • Densities (${\rho}$), Viscosities (${\eta}$) and ultrasonic speeds (u) of pure acetophenone (AP), propiophenone (PP), $p$-methyl acetophenone ($p$-MeAP), $p$-chloroacetophenone ($p$-ClAP) and those of their binary mixtures with $N$-ethyl aniline ($N$-EA) as a common component, were measured at 303.15 K over the entire composition range. These experimental data were used to calculate the excess volume $V^E$, deviation in ultrasonic speeds ${\Delta}u$, isentropic compressibility $K_s$, intermolecular free length $L_f$, acoustic impedance Z, deviations in isentropic compressibility ${\Delta}K_s$, deviation in viscosity ${\Delta}{\eta}$ and excess Gibbs free energy of activation of viscous flow ($G^{*E}$) at all mole fractions of $N$-ethyl aniline. These parameters, especially excess functions, are found to be quite sensitive towards the intermolecular interactions between component molecules. Theoretical values of viscosity of the binary mixtures were calculated using different empirical relations and theories. The relative merits of these relations and theories were discussed. The experimental results were correlated by using the polynomial proposed by Redlich-Kister equation.

Thermodynamic Assessment of the PbO-ZrO2 System

  • Koo, Bon-Keup;Ping Liang;Hans Jiirgen Seifert;Fritz Aldinger
    • The Korean Journal of Ceramics
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    • 제5권3호
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    • pp.205-210
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    • 1999
  • The thermodynamic properties and phase diagram of the$ PbO-ZrO_2$ system have been critically assessed using the Thermo-Calc program. Excess Gibbs energies were expressed by Redlich-Kister polynomials for the solid phases, by the two-sublattice ionic liquid model for the liquid phase and by the compound energy model for the solid solution phase. All solid phases were treated as stoichimetric compounds.

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Modelling the Hydrogen-Bonding Interactions in a Copolymer/Biodegradable Homopolymer Blend through Excess Functions

  • Garcia-Lopera, Rosa;Monzo, Isidro S.;Campos, Agustin;Abad, Concepcion
    • Macromolecular Research
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    • 제16권5호
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    • pp.446-456
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    • 2008
  • A recent theoretical approach based on the coupling of both the Flory-Huggins (FH) and the Association Equilibria thermodynamic (AET) theories was modified and adapted to study the miscibility properties of a multi-component system formed by two polymers (a proton-donor and a proton-acceptor) and a proton-acceptor solvent, named copolymer(A)/solvent(B)/polymer(C). Compatibility between polymers was mainly attained by hydrogen-bonding between the hydroxyl group on the phenol unit of the poly(styrene-co-vinyl phenol) (PSVPh) and the carbonyl group of the biodegradable and environmentally friendly poly(3-hydroxybutyrate) (PHB). However, the self-association of PSVPh and specific interactions between the PSVPh and the H-acceptor group (an ether oxygen atom) of the epichlorohydrin (ECH) solvent were also established in a lower extension, which competed with the polymer-polymer association. All the binary specific interactions and their dependence with the system composition as well as with the copolymer content were evaluated and quantified by means of two excess functions of the Gibbs tree energy, ${\Delta}g_{AB}$ and ${\Delta}g_{AC}$. Experimental results from fluorescence spectroscopy were consistent with the theoretical simulations derived with the model, which could also be applied and extended to predict the miscibility in solution of any polymer blend with specific interactions.

Head Space Gas Chromatography를 이용한 MTBE-Methanol, MTBE-n-Heptane, n-Heptane-Methanol계의 기액평형 (Vapor-Liquid Equilibria for the Systems of MTBE-Methanol, MTBE-n-Heptane, n-Heptane-Methanol by Using Head Space Gas Chromatography)

  • 이주동;이태종;박소진
    • 공업화학
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    • 제5권4호
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    • pp.706-713
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    • 1994
  • $45^{\circ}C$$65^{\circ}C$의 등온하에서 MTBE-methanol, MTBE-n-heptane, methanol-n-heptane 각 이성분계에 대한 등온 기액 평형 데이타를 head space gas chromatography(H.S.G.C.)를 이용해서 측정하였다. 이들중에 MTBE-methanol계와 methanol-n-heptane계에서 최소공비점이 발견되었으며, 특히 methanol-n-heptane계에서는 불용영역의 존재로 인한 불균일 최소공비점을 나타내었다. 각각의 실험 데이타들은 과잉 Gibbs 에너지 모델에 합치시켜서 그 상관관계를 알아보았으며, Redlich-Kister의 적분법에 의한 열역학적 일치성 시험도 수행하였다.

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Dielectric Relaxation in Ethylene Glycol - Dimethyl Sulfoxide Mixtures as a Function of Composition and Temperature

  • Undre, P.B.;Khirade, P.W.;Rajenimbalkar, V.S.;Helambe, S.N.;Mehrotra, S.C.
    • 대한화학회지
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    • 제56권4호
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    • pp.416-423
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    • 2012
  • Using time domain reflectometry, the complex dielectric spectra between 10 MHz to 20 GHz has been measured in the whole composition range at 10, 20, 30 and $40^{\circ}C$ for the binary mixtures of ethylene glycol and dimethyl sulfoxide. For all the mixtures, only one dielectric loss peak was observed in this frequency range. The relaxation in these mixtures can be described by a single relaxation time using the Debye model. A systematic variation is observed in dielectric constant (${\varepsilon}_0$) and relaxation time (${\tau}$). The excess permittivity (${\varepsilon}^E$), excess inverse relaxation time $(1/{\tau})^E$, Kirkwood correlation factor (g) and thermodynamic parameters viz. enthalpy of activation (${\Delta}H$) and Gibbs free energy of activation (${\Delta}G$) have been determined, to confirm the formation of hydrogen bonded homogeneous and heterogeneous cooperative domains, the dynamics of solute - solute interaction and the hindrance to molecular rotation in the hydrogen bonded glass forming ethylene glycol - dimethyl sulphoxide system.

연속열역학을 이용한 랜덤공중합체 용액의 상분리 (Phase Separations in Random Copolymer Solutions by Continuous Thermodynamics)

  • 서신호;김기창;이광래
    • 산업기술연구
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    • 제18권
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    • pp.277-287
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    • 1998
  • In this work continuous thermodynamics was adopted for describing the influence of copolymer polydispersity on phase separations in random copolymer solutions. Continuous themodynamic frameworks were formulated using the Flory-Huggin's excess Gibbs free energy model in which the concentration- and temperature-depentent terms of interaction parameter x were modified. Cloud-point curves and coexistence curves of poly(ethylene-vinylactate)/methylacetate solutions and poly(ehtylene-vinylacetate)/ethylacetate solutions were measured, and experimental data were fitted with theoretical relations formulated in this work. Calculated could-point curves were more good ageeable with experimental data than the modified Flory-Huggins's relations. Coexistence curves which were evaluated by using parameters of x estimated from experimental cloud-point curves, were found to coincide with experimental data.

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