Light Scattering Study of Semiflexible Polymer Solutions. 1. Dilute through Semidilute Solutions of Poly(n-hexyl isocyanate) Dissolved in Dichloromethane

Jinbo, Yuji; Sato, Takahiro; Teŕamoto, Akio

doi:10.1021/ma00099a021

Cited by 33 publications

(73 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The reason is that within the second-virial approximation the excess free energy of self-avoiding rods is approximately the same as that of semiflexible chains (30,39). It appears that the approximate identity…”

Section: Andriy V Kyrylyuk* and Paul Van Der Schootmentioning

confidence: 99%

Continuum percolation of carbon nanotubes in polymeric and colloidal media

Kyrylyuk

Schoot

2008

Proc. Natl. Acad. Sci. U.S.A.

240

188

View full text Add to dashboard Cite

We apply continuum connectedness percolation theory to realistic carbon nanotube systems and predict how bending flexibility, length polydispersity, and attractive interactions between them influence the percolation threshold, demonstrating that it can be used as a predictive tool for designing nanotube-based composite materials. We argue that the host matrix in which the nanotubes are dispersed controls this threshold through the interactions it induces between them during processing and through the degree of connectedness that must be set by the tunneling distance of electrons, at least in the context of conductivity percolation. This provides routes to manipulate the percolation threshold and the level of conductivity in the final product. We find that the percolation threshold of carbon nanotubes is very sensitive to the degree of connectedness, to the presence of small quantities of longer rods, and to very weak attractive interactions between them. Bending flexibility or tortuosity, on the other hand, has only a fairly weak impact on the percolation threshold.

show abstract

Section: Andriy V Kyrylyuk* and Paul Van Der Schootmentioning

confidence: 99%

Continuum percolation of carbon nanotubes in polymeric and colloidal media

Kyrylyuk

Schoot

2008

Proc. Natl. Acad. Sci. U.S.A.

240

188

View full text Add to dashboard Cite

show abstract

“…1 In order to calculate S(k) and~ from eq [10][11][12][13][14][15][16] and 17, we need three quantities (8c/8ll), w(k) (or P(k)), and <S 2 ); as mentioned above, the latter two quantities can be assumed to be equal to those at infinite dilution. In Part 1, we have already demonstrated that these three quantities are accurately described by theories for the wormlike chain or wormlike spherocylinder model (cf, sections 4.1 and 4.3 of ref 1).…”

Section: Comparison With Experimental Resultsmentioning

confidence: 99%

“…However the Percus-Yevick closure relation is applicable only to hard particle systems, so that it is not relevant to systems where solutes interact each other not only by the hard-core repulsion but also by some soft attractive interaction like poly(nhexyl isocyanate) molecules in DCM. 1 Although Honnell et al 4 proposed to use an effective hard-core diameter of the semiflexible polymer to consider the soft-core potential, this treatment may not be necessarily justified. Our above procedure can incorporate the soft potential effect into C(k) more properly.…”

Section: Expression For C(k)mentioning

confidence: 99%

“…In Part 1 of this series, 1 we made a light scattering study on semidilute solutions of a semiflexible polymer, poly(n-hexyl isocyanate) (PHIC), dissolved in a good solvent, dichloromethane (DCM), and found that as well as the osmotic compressibility (ac/aII) obtained for these solutions exhibit polymer concentration dependences different from those of flexible polymer-good solvent systems. We succeeded in explaining the concentration 384 dependence of (ac;an) for PHIC solutions using the scaled particle theory for wormlike spherocylinders with a weak attractive interaction.…”

mentioning

confidence: 99%

“…Finally the results of S(k) and , calculated by the present theory are compared with the experimental light scattering data for the PHIC-DCM system reported in Part 1. 1 …”

mentioning

confidence: 99%

See 2 more Smart Citations

Light Scattering Study of Semiflexible Polymer Solutions II. Application of an Integral Equation Theory

Sato

Jinbo

Teŕamoto

1995

Polym J

Self Cite

View full text Add to dashboard Cite

ABSTRACT:The structure factor S(k) and the correlation length for semiflexible polymer solutions were formulated using the generalized Ornstein-Zernike (GOZ) integral equation for the monomer-units pair correlation functions. The derived expression for S(k) contained the Fourier transform C(k) of the direct correlation function C(r) involved in the GOZ equation. Taking advantage of the short range nature of C(r), we calculated C(k) from the scaled particle theory, which was previously shown to successfully describe thermodynamic quantities of semiflexible polymer solutions. The present theoretical approach gave S(k) and, which were favorably compared with the previously obtained experimental results for dilute through semidilute solutions of a semiflexible polymer poly(n-hexyl isocyanate) dissolved in a good solvent dichrolomethane. The spatial distribution of monomer-units (or segments) in polymer solutions is not completely random but has some regularity. Owing to the chain connectivity, this regularity ranges over a long distance in comparison with that in low-molar-mass liquids. Light scattering technique provides us with important information about the regularity in the monomerunit distribution in polymer solutions. For example, the range of regularity usually expressed in terms of the correlation length can be measured by light scattering.In Part 1 of this series, 1 we made a light scattering study on semidilute solutions of a semiflexible polymer, poly(n-hexyl isocyanate) (PHIC), dissolved in a good solvent, dichloromethane (DCM), and found that as well as the osmotic compressibility (ac/aII) obtained for these solutions exhibit polymer concentration dependences different from those of flexible polymer-good solvent systems. We succeeded in explaining the concentration 384 dependence of (ac;an) for PHIC solutions using the scaled particle theory for wormlike spherocylinders with a weak attractive interaction. On the other hand, the same theory cannot be used for the explanation of~. which is not a thermodynamic quantity. In Part 1, we did not give any theoretical interpretation of this spatial property for the semiflexible polymer solution.In the present study, we apply the generalized Ornstein-Zernike (GOZ) integral equation for the reference interaction site model (RISM) to calculate the structure factor S(k) and of semiflexible polymer solutions. The GOZ integral equation approach or the RISM theory is a standard method to deal with the structure of low-molar-mass liquids. 2 · 3 This equation however includes an unknown function, the (average) site-site direct correlation function C(r). There are different procedures to determine this function. In this study, we propose to determine the Fourier transform of C(r)

show abstract