Fractional Free Volume (FFV)

Author(s):  
Yuri Yampolskii
Polymers ◽  
2022 ◽  
Vol 14 (2) ◽  
pp. 226
Author(s):  
Jinsong Yang ◽  
Weitao Lou

The effects of oxidative aging on the static and dynamic properties of nitrile rubber at the molecular scale were investigated by molecular dynamics simulation. The aged nitrile rubber models were constructed by introducing hydroxyl groups and carbonyl groups into rubber molecular chains to mimic oxidative aging. The static and dynamic properties of the unaged and aged nitrile rubber under different conditions were evaluated by mean square displacement, self-diffusion coefficients, hydrogen bond, fractional free volume, radial distribution function, cohesive energy density and solubility parameter. The results show that the elevated temperature intensified significantly the mobility of rubber molecular chains and fractional free volume, while the compressive strain displayed the opposite effect resulting in packing and rearrangement of rubber chains. The introduction of hydroxyl groups and carbonyl groups enhanced the polarity, intermolecular interactions, the volume and rigidity of molecular chains, implying weaker mobility of molecular chains as compared to unaged models. The compressive strain and oxidative aging both decreased the fractional free volume, which inhibited gaseous and liquid diffusion into the rubber materials, and slowed down the oxidative aging rate. This study provides insights to better understand the effect of molecular changes due to oxidative aging on the structural and dynamic properties of rubber materials at the molecular level.


2020 ◽  
Vol 8 (44) ◽  
pp. 23354-23367
Author(s):  
Ali Hayek ◽  
Abdulkarim Alsamah ◽  
Garba O. Yahaya ◽  
Eyad A. Qasem ◽  
Rashed H. Alhajry

Chemical modification enhances gas molecule permeation through polymeric membrane matrices by increasing the fractional free volume.


1972 ◽  
Vol 45 (1) ◽  
pp. 278-292 ◽  
Author(s):  
B. G. Corman ◽  
M. L. Deviney ◽  
L. E. Whittington

Abstract Previous work in diffusion of whole extender oil and extender oil fractions in practical rubber compounds has shown the nature of the rubber matrix to be the major controlling factor. Therefore, a sensitive diffusivity approach, using radiotracer labeled hydrocarbon penetrants of sizes comparable to the size of a rotating segment, was used to study various aspects of the matrix structure on penetrant diffusion for polybutadiene, styrene—butadiene, and Butyl rubbers. These results were compared with fractional free volume measurements made by a thermal expansion technique. Neither fractional free volume nor diffusivity of phenyldodecane, benz-a-anthracene, or n-octadecane was affected by 5-fold variations of crosslink density or by variations in loading of 10 to 80 parts of carbon black (HAF-LS); nor were they affected by changes from FEF to SAF black at a 50 phr level. Glass transition temperature and fractional free volume are both affected by increasing percentages of benzene or phenyldodecane, While diffusivity rises with increasing dilution, states of equal free volume in different elastomers are not states of equal diffusivity; for example, at a fractional free volume of 0.10, corresponding to 20% benzene in both polybutadiene and Butyl at 70° C, the diffusivity of benzene in Butyl is lower by a factor of 15. Comparison of diffusivity of large penetrants with their cross-sectional area gives two basic curves, one for flexible penetrants and another for molecularly rigid species. These results are explained in terms of a distribution of free volumes, wherein only holes above a critical size are effective in diffusion. Swelling the system with aromatic diluent greatly increases the total fractional free volume, but only slightly the number of holes above this critical size. To understand the diffusivity of rigid molecules in elastomers, a probability factor must be applied in estimating their effective cross-sectional area.


2017 ◽  
Vol 30 (9) ◽  
pp. 1064-1074 ◽  
Author(s):  
Xin Fu ◽  
Xueqin Li ◽  
Ruili Guo ◽  
Jianshu Zhang ◽  
Xingzhong Cao

A series of block copolymer membranes was designed using polyetheramine (PEA) and methyl-containing polyisophthalamides (MPA) for the separation of carbon dioxide (CO2)/methane (CH4) gas mixtures. PEA consists of abundant ethylene oxide units, which show good affinity with CO2, and MPA consists of methyl (Me) substituents, which can increase the fractional free volume of block copolymer membranes. The Me substituents were introduced into MPA via polymerization from isophthaloyl dichloride (IPC), 2,5-dimethyl-1,4-phenylenediamine (DPD), and 4,4′-bis(3-aminophenoxy)diphenyl sulfone (BADS). Therefore, the CO2 solubility and diffusivity in the membranes could be improved by tailoring the PEA/MPA mass ratio and BADS/DPD mole ratio, respectively. The membrane with a PEA/MPA mass ratio of 6/4 and a BADS/DPD mole ratio of 1/10 exhibited optimum CO2 separation performance with a CO2 permeability of 629 Barrer and CO2/CH4 selectivity of 23 at 2 × 105 Pa and 25°C.


2016 ◽  
Vol 18 (5) ◽  
pp. 3817-3824 ◽  
Author(s):  
Pushkar N. Patil ◽  
David Roilo ◽  
Roberto S. Brusa ◽  
Antonio Miotello ◽  
Stefano Aghion ◽  
...  

Fractional free volume and its temperature evolution evaluated using only experimental data allow describing gas diffusivity in the framework of free volume theory.


2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Piotr Kubica ◽  
Aleksandra Wolinska-Grabczyk

The transport properties of the poly(ethylene-co-vinyl acetate) (EVA) materials to He, N2, O2, and CO2are correlated with two polymer molecular structure parameters, that is, cohesive energy density (CED) and fractional free volume (FFV), determined by the group contribution method. In our preceding paper, the attempt was made to approximate EVA permeability using a linear function of 1/FFV as predicted by the free volume theory. However, the deviations from this relationship appeared to be significant. In this paper, it is shown that permeation of gas molecules is controlled not only by free volume but also by the polymer cohesive energy. Moreover, the behavior of CO2was found to differ significantly from that of other gases. In this instance, the correlation is much better when diffusivity instead of permeability is taken into account in a modified transport model.


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