Structural and Energetic Behavior of Mixed Samples in the Hexacosane (n-C26H54)/Octacosane (n-C28H58) System; Solid-Solid and Solid-Liquid Equilibria

Rajabalee, Fazil; Métivaud, V.; Mondieig, D.; Haget, Y.; Oonk, H. A. J.

doi:10.1002/(sici)1522-2675(19991110)82:11<1916::aid-hlca1916>3.0.co;2-d

Cited by 16 publications

(6 citation statements)

References 6 publications

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“…The nonideality of the ordered phases is described by the predictive NRTL, and the rotator phase is treated as an ideal solution. Points are experimental data obtained from refs , , and − .…”

Section: Results and Discussionmentioning

confidence: 99%

New Predictive Nonrandom Two Liquid Equation for Solid–Liquid Phase Equilibrium in n-Alkanes Mixture with Multiple Solid Solutions

Wang

Bai

et al. 2019

Ind. Eng. Chem. Res.

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In this work, a predictive nonrandom two-liquid (NRTL) equation analyzed from binary experimental data is proposed to model the solid–liquid equilibrium in the n-alkanes mixture. The predictive NRTL describes the nonideality of the ordered solid phase, whose binary interaction parameters are obtained from a correlation formula. The mathematical form of the correlation formula is summarized from the relationship between the excess Gibbs free energy and the carbon number mismatch parameter in binary mixtures. The coefficients of the correlation formula are regressed from binary experimental data. With this model, it is possible to provide ordered-rotator solid transition phase diagrams with complete or partial miscibility. The crystallization behaviors of nine mixtures are also used to test the model, indicating adequate accuracy. Furthermore, the predictive NRTL can predict potential multiple solid solutions, whose number is changeable with the n-alkanes range of the feed, and the concentration of each solid solution is a normal distribution.

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Section: Results and Discussionmentioning

confidence: 99%

New Predictive Nonrandom Two Liquid Equation for Solid–Liquid Phase Equilibrium in n-Alkanes Mixture with Multiple Solid Solutions

Wang

Bai

et al. 2019

Ind. Eng. Chem. Res.

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“…These rules can be extended to other C n binary systems (∆n c e 2, n c < 20, or n c > 28) as Metivaud et al 172 showed in (C 18 /C 19 ) mixtures. All the latter authors [172][173][174][175][176] described in detail these complex binary phase diagrams, gave further details about the structures of the intermediate solid solutions, and suggested the following space groups: monoclinic Aa for β′ n (the crystalline parameters of this unit-cell, with the β angle almost equal to π/2, correspond to a orthorhombic unit-cell which would undergo a very low distortion) and orthorhombic Pca2 1 for β′′ n .…”

Section: ) Binary Mixtures Of Consecutive C N 'S (∆N C E 2)mentioning

confidence: 99%

“…(1) Binary Mixtures of Consecutive C n 's ( Δ n c ≤ 2). The binary mixtures of C n 's have been the subject of numerous articles. ,,,,− ,,, Many phase diagrams have been presented with an orthorhombic continuous solid solution at room temperature even if the two pure C n 's displayed a ( n c − n c ‘ )/ n c relative gap between the chain lengths of molecules which was too high, according to Kravchenko's rule (Table ), and/or a triclinic or monoclinic phase not compatible with Palatnik and Landau's rule: for instance, (C 18 /C 20 ; C 19 /C 21 ; C 21 /C 23 ; C 22 /C 23 ; C 22 /C 24 ; C 24 /C 26 ; C 30 /C 35 ; C 35 /C 36 ), (C 21 /C 23 ), (C 19 /C 21 ), (C 24 /C 28 ) …”

Section: Model N-alkane Mixturesmentioning

confidence: 99%

Normal Alkanes, Multialkane Synthetic Model Mixtures, and Real Petroleum Waxes: Crystallographic Structures, Thermodynamic Properties, and Crystallization

Dirand¹,

Bouroukba²,

Chevallier³

et al. 2002

J. Chem. Eng. Data

212

335

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A general review is presented concerning jointly the crystallographic structures and the solid-solid and solid-liquid transition temperatures and enthalpies in the pure normal alkanes, as well as the structural and thermodynamic behavior of their synthetic binary, ternary, and multinary model mixtures and of real petroleum waxes. A major part of the structural and thermodynamic data of the literature, relative to the pure n-alkanes, are listed from methane up to the alkane with carbon atom number equal to 390. Variation relationships of the crystallographic long c-parameter that corresponds to the periodicity of the molecule layer packing along their axis, melting temperatures, and transition enthalpies are given as a function of the carbon atom number. The study of the literature on the n-alkane mixtures highlights the existence of isostructural binary, ternary, and multinary intermediate solid solutions which can be likened to a single pseudocomponent. This intermediate solid solution is equivalent to a hypothetical pure n-alkane whose carbon atom number is equal to the average carbon atom number of the mixtures. As a result, the solubility of these multinary solid solutions or real multiparaffinic waxes in linear, cyclic, or aromatic light solvents is identical to that of the pure n-alkanes: pseudobinary eutectic crystallization of the model or real wax as a single pseudocomponent on one hand and the light solvent on the other hand.

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“…Figure 6) reveal two behaviors according to the chain length range and to the phase change involved in the fusion. Applying the leastsquares fitting gives the following linear equations: According to Rajabalee, 28,29 a quadratic expression gives good results for o-d transition enthalpy restitution, after distinction between odd-and even-numbered C n 's:…”

Section: Enthalpy Variations Of Phase Transitionsmentioning

confidence: 99%

“…According to Rajabalee, , a quadratic expression gives good results for o−d transition enthalpy restitution, after distinction between odd- and even-numbered C n 's: …”

Section: Enthalpy Variations Of Phase Transitionsmentioning

confidence: 99%

Models for Estimation of Pure n-Alkanes' Thermodynamic Properties as a Function of Carbon Chain Length

Briard¹,

Bouroukba²,

Petitjean³

et al. 2003

J. Chem. Eng. Data

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Simple predictive relationships for the estimation of pure normal alkanes' thermodynamic properties, like transition temperatures, phase change enthalpies, and heat capacities in the solid or liquid state, are established as a function of carbon atom number n c , by combining our own calorimetric experimental results and a general review of literature data. This study underlines that total and melting enthalpies vary linearly with n c carbon atom number, whatever the parity of n c , while order-disorder transition enthalpies show a quadratic variation and an alternating effect between odd-and even-numbered n-alkanes. Heat capacity variations versus temperature and the carbon chain length were represented by a model of group contributions for the liquid phase and by an expression derived from Einstein's model for the solid state.

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Structural and Energetic Behavior of Mixed Samples in the Hexacosane (n-C26H54)/Octacosane (n-C28H58) System; Solid-Solid and Solid-Liquid Equilibria

Cited by 16 publications

References 6 publications

New Predictive Nonrandom Two Liquid Equation for Solid–Liquid Phase Equilibrium in n-Alkanes Mixture with Multiple Solid Solutions

New Predictive Nonrandom Two Liquid Equation for Solid–Liquid Phase Equilibrium in n-Alkanes Mixture with Multiple Solid Solutions

Normal Alkanes, Multialkane Synthetic Model Mixtures, and Real Petroleum Waxes: Crystallographic Structures, Thermodynamic Properties, and Crystallization

Models for Estimation of Pure n-Alkanes' Thermodynamic Properties as a Function of Carbon Chain Length

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