A Survey of Equations of State for Polymers

Guerrieri, Yuri; Pontes, Karen Valverde; Costa, Glória Meyberg Nunes; Embiruçu, Marcelo

doi:10.5772/48391

Cited by 14 publications

(19 citation statements)

References 165 publications

(218 reference statements)

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“…The density dependence of pressure–temperature can be used to estimate

using the Sanchez–Lacombe (SL) equation of state (EoS), Equation (5). SL theory introduces holes to explain variations on compressibility and density (isobaric expansivity (

and isothermal compressibility (

)) [ 85 , 86 ].

where

and

represent characteristic parameters of the SL equation;

is the molecular weight;

is the gas constant.…”

Section: Structural Organizationmentioning

confidence: 99%

Revisiting Ionic Liquid Structure-Property Relationship: A Critical Analysis

Silva

Zanatta

Ferreira

et al. 2020

IJMS

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In the last few years, ionic liquids (ILs) have been the focus of extensive studies concerning the relationship between structure and properties and how this impacts their application. Despite a large number of studies, several topics remain controversial or not fully answered, such as: the existence of ion pairs, the concept of free volume and the effect of water and its implications in the modulation of ILs physicochemical properties. In this paper, we present a critical review of state-of-the-art literature regarding structure–property relationship of ILs, we re-examine analytical theories on the structure–property correlations and present new perspectives based on the existing data. The interrelation between transport properties (viscosity, diffusion, conductivity) of IL structure and free volume are analysed and discussed at a molecular level. In addition, we demonstrate how the analysis of microscopic features (particularly using NMR-derived data) can be used to explain and predict macroscopic properties, reaching new perspectives on the properties and application of ILs.

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“…The density dependence of pressure–temperature can be used to estimate

using the Sanchez–Lacombe (SL) equation of state (EoS), Equation (5). SL theory introduces holes to explain variations on compressibility and density (isobaric expansivity (

and isothermal compressibility (

)) [ 85 , 86 ].

where

and

represent characteristic parameters of the SL equation;

is the molecular weight;

is the gas constant.…”

Section: Structural Organizationmentioning

confidence: 99%

Revisiting Ionic Liquid Structure-Property Relationship: A Critical Analysis

Silva

Zanatta

Ferreira

et al. 2020

IJMS

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“…Similar assumption has been reported in original work by Huang et al (2006), whereby the physical aging data were only approximated at time zero since actual measurement had been conducted aer a series of well carried out protocols to prepare samples on the instrument. 21 Therefore, the linear correlation characterizing the aging process can be conveniently derived at any aging time, t, such as that provided in eqn (25).…”

Section: ðT; Tþmentioning

confidence: 99%

Mathematical modelling of thickness and temperature dependent physical aging to O₂/N₂ gas separation in polymeric membranes

et al. 2018

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“…In adopting a lattice-based model, one considers how the polymer molecules can be arranged on a lattice; this enables the derivation of a thermodynamic model of the system through various means such as a mean-field approximation. The most relevant and common equation in this category for polymers is the Flory-Huggins equation 42 , which expresses the dimensionless Gibbs free energy of mixing per monomer volume in terms of volume fractions as follows:…”

Section: Lattice-based Approaches: Flory-huggins Equationmentioning

confidence: 99%