Liquid–liquid phase separation in multicomponent polymer solutions. II. The critical state

Koningsveld, R.; Staverman, A. J.

doi:10.1002/pol.1968.160060202

Cited by 167 publications

(105 citation statements)

References 28 publications

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“…17 for PE/ diphenylether are believed to have the highest accuracy, because the cloud point curves they constructed for three PE samples were constituted of 28, 42, and 48 data points and the critical points were determined by using the two phase volume ratio R, which gives directly the critical point, irrespective of the polymolecularity of the sample. It is wellknown that PE as polymerized whole polymers have extremely wide molecular weight distributions and PE fractions isolated by successive precipitation fractionation using proper solvent/non-solvent the system can never be regarded as monodisperse.…”

Section: Polystyrenementioning

confidence: 99%

Evaluation of Concentration Dependence of χ-Parameter, Flory Temperature and Entropy Parameter for Polymer–Solvent System from Their Critical Solution Temperature and Concentration Data

Kamide

Matsuda

Saito

1985

Polym J

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Section: Polystyrenementioning

confidence: 99%

Evaluation of Concentration Dependence of χ-Parameter, Flory Temperature and Entropy Parameter for Polymer–Solvent System from Their Critical Solution Temperature and Concentration Data

Kamide

Matsuda

Saito

1985

Polym J

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“…The most rigorous expressions for critical points were derived by Koningsveld and Staverman, 22 who considered the concentration dependence of the x-parameter along with the polymolecularity of the polymer. Koningsveld et a/.…”

mentioning

confidence: 99%

“…The polymer-solvent interaction parameter g, introduced in Koningsveld et al's theory, 22 can be expressed as a power function of vP' 842 g= I (12) where gi is a function of temperature and independent of concentration.…”

mentioning

confidence: 99%

Cloud Point Curve and Critical Point of Multicomponent Polymer/Single Solvent System

Kamide¹,

Matsuda²,

Dobashi³

et al. 1984

Polym J

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ABSTRACT:An attempt was made to establish a theoretical method for calculating the cloud point curve (CPC) and critical point of solutions of polydisperse polymers in a single solvent (i.e., quasi-binary system) on the basis of the polydispersity of the polymer and concentration-and molecular weight-dependences of the polymer-solvent thermodynamic interaction parameter X· Expressions giving the cloud point curve were derived and a computer simulation technique, based on the theory, was developed. The effects of the average molecular weight, polydispersity of polymer and concentration dependence of x-parameter on CPC, threshold cloud point and critical point were clarified. In order to represent accurately the CPC for the entire concentration range from the molecular characteristics of the original polymer and operating conditions, such as polymer-volume fraction and x-parameter, the concentration dependence parameters p1 and p,, in the relation X= XoO + p1 v" + p2 v/) (x0 ; concentration-independent parameter, v", polymer volume fraction) should be adequately taken into account. Very delicate changes in p 1 and p2 cause significant variation in CPC and none of the literature data on p1 and p2 for polystyrene/ cyclohexane adequately represent the experimental CPC. From an actual CPC experiment, p 1 = 0.643 and p2 = 0.200 were evaluated. The effective role of the molecular weight dependence of x in CPC was shown in the lower v" region.

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“…Extensive analyses have been made, by Koningsveld,4 Solc, 5 and others, 6 on the effect of polydispersity on phase separation of polymer solutions, i.e., solutions of a polydisperse polymer in a low molecular weight solvent. These analyses all start from the Flory-Huggins free energy of mixing (or its modification).…”

mentioning

confidence: 99%

Effect of polydispersity on the cloud‐point curves of polymer mixtures

Roe

1985

J. Polym. Sci. Polym. Phys. Ed.

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A method is presented for the calculation of cloud‐point curves of polymer–polymer mixtures when the polymers involved are polydisperse. The method is based on the Flory–Huggins free energy of mixing with a concentration‐independent χ parameter. Numerical results are given for cases in which the molecular weight distributions are represented by the Schulz–Flory type. When the two polymers have similar average molecular weights and polydispersities, the cloud‐point curves become flatter as the polydispersity increases. When the two polymers have similar average molecular weights but differ in polydispersity, the cloud‐point curves become more skewed as the difference in the polydispersity increases. The results point out that, if the polydispersity effect is not properly accounted for, the value of χ deduced from experimental cloud points is liable to be in error, especially with regard to its temperature coefficient and its concentration dependence.

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Liquid–liquid phase separation in multicomponent polymer solutions. II. The critical state

Cited by 167 publications

References 28 publications

Evaluation of Concentration Dependence of χ-Parameter, Flory Temperature and Entropy Parameter for Polymer–Solvent System from Their Critical Solution Temperature and Concentration Data

Evaluation of Concentration Dependence of χ-Parameter, Flory Temperature and Entropy Parameter for Polymer–Solvent System from Their Critical Solution Temperature and Concentration Data

Cloud Point Curve and Critical Point of Multicomponent Polymer/Single Solvent System

Effect of polydispersity on the cloud‐point curves of polymer mixtures

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