Thermodynamic and Hydrodynamic Porperties of Linear Polymer Solutions. I. Light Scattering of Monodisperse Poly(α-methylstyrene)

Kato, Tadaya; Miyaso, K.; Noda, Ichiro; Fujimoto, Teruo; Nagasawa, Mitsuru

doi:10.1021/ma60018a013

Cited by 92 publications

(53 citation statements)

References 6 publications

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“…15 As clearly indicated by Table 1 and Figure 2, however, the C G * value for the M w = 29.8 © 10 4 sample was approximately the same as the C 0θ * value calculated for the θ solvent, and the value increased as the molecular weight decreased. Noda and his associates 1618 have examined in detail the molecular weight dependence of the zero-shear viscosity of polymer solutions for monodisperse polystyrene and monodisperse poly(α-methylstyrene) in θ and good solvents.…”

Section: ¹068supporting

confidence: 61%

Molecular Weight Dependence of SiO2 Nanoparticle Agglomeration Behavior in Monodisperse PMMA–SiO2 Hybrid Suspension

et al. 2014

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The rapid agglomeration of SiO2 nanoparticles suspended in organic solvents, where the interactions between the PMMA chains and SiO2 are very weak and may be ignored, is, therefore, concluded to be “entanglement agglomeration mechanism” triggered by strong mutual entanglement effects occurring when the polymer chains come into contact, overlap, and mutually intrude each other at higher polymer concentrations, providing the driving force for particle agglomeration.

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Section: ¹068supporting

confidence: 61%

Molecular Weight Dependence of SiO2 Nanoparticle Agglomeration Behavior in Monodisperse PMMA–SiO2 Hybrid Suspension

et al. 2014

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“…The corresponding values of W obtained by Kato, et al, 6 for poly(a-methylstyrene) in toluene are only about 0.2. This difference may be considered to arise mainly from the fact that their values of <S 2 ) 312 are about 2.5/2.0 times as large as our corresponding values, since the ratio of their value of ({)0 to ours is about 2.0/2.5.…”

Section: Behavior Of 7jfmentioning

confidence: 71%

“…P(x) is given by 20 P(x)=(2/x 2 )V"-I +x) ( 7) where ( 8) with J. the wavelength of light in the solution. On the basis of this fact, Kato, et al, 6 have determined <S 2 ) in good solvents to force agreement between observed and theoretical values of P(x). Thus, for the present purpose, it is necessary to examine whether our values of <S 2 ) obtained by the method of square-root plots do or do not satisfy Debye's function.…”

Section: Behavior Of the Scattering Functionmentioning

confidence: 90%

More on the Analysis of Dilute Solution Data: Polystyrenes Prepared Anionically in Tetrahydrofuran

Yamamoto

Fujii

Tanaka

et al. 1971

Polym J

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ABSTRACT:Further comments on the analysis of dilute solution data are provided. Light-scattering and intrinsic-viscosity data used for this purpose are those obtained for monodisperse polystyrenes, prepared anionically in tetrahydrofuran, in benzene, toluene, and dichloroethane at 30°C and in cyclohexane at temperatures ranging from 32.2 to 60.1 °C. The value of [r;]o/M1/ 2 is somewhat greater than the corresponding value for Berry's polystyrenes prepared anionically in benzene, where [r;]o is the intrinsic viscosity at the theta temperature and M is the polymer molecular weight. This suggests that the two types of samples differ in microstructure, though the precise difference is unknown. However, it is shown that the two-parameter relationships established experimentally in the previous papers are well reproduced in the present data. The relationships are different from those determined by Kato, et al., for monodisperse poly(a-methylstyrene) prepared anionically. Since there is shown to be no essential difference between our and their methods of determining mean-square radii, it seems unlikely that the difference is related to measurements and subsequent treatments. It is suggested rather that the problem is related to Kato's samples.KEY WORDS Two-parameter Theory / Excluded-volume Effect / Mean-square Radius / Second Virial Coefficient / Intrinsic Viscosity / Expansion Factor / Scattering Function / Polystyrene / Anionic Polymerization / In the previous paper, 1 it has been pointed out that recent experimental studies on the ex-. eluded-volume effect in dilute polymer solutions may be classified into two groups with respect to the behavior of experimental data. The investigations of Berry,2 Norisuye, et a/., 3 ' 4 and Tanaka, et al., 1 ' 5 belong to the same category, which will be referred to as the first group, and the work of Kato, et al., 6 ' 7 is representative of the second group. There is fairly close agreement between the results of the two groups for theta-solvent systems, while the difference · between them is noticeable for good-solvent systems, i.e., for large expansion factor as, as defined by a 8 2 =(S 2 )/(S 2 ) 0 , where (S 2 ) is the mean-square radius of the polymer chain and (S 2 ) 0 is its unperturbed value in the theta state. for the chain of n effective bonds with /3 the binary-cluster integral for a pair of segments. Note that Berry's viscosity data 2 proved to belong rather to the first group after the reanalysis by 799

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“…On the other hand, Nagasawa's conclusions 5 • 6 are as follows: (1) for good-solvent systems, the F, m equation (eq 4) is valid for polymer molecular weights greater than 10 6 but its validity is inconclusive for smaller molecular weights, and (2) the observed is not a function of only z if z is estimated using eq 4, and this does not necessarily indicate the existence of draining effect but rather the inadequacy of using eq 4. In this connection, we must refer to the claim of Isihara 12 that the data of Fujita, et al, for compare well with his own theory, which predicts the existence of the draining effect in There therefore seems to be some confusion in the present situation regarding experimental tests of the theory of the excluded volume effect in polymer solutions.…”

mentioning

confidence: 99%

“…where <S (1) the modified Flory theory 9 • 10 of as as 6 -as 3 =1.276z (F, m) ( 4) and also the Yamakawa- Tanaka theory 11 as 2 =0.541 +0.459(1 +6.04z) 0 " 46 (YT) ( 5) are in satisfactory agreement with experiment, and (2) if z is estimated using eq 5, the observed is a function of only z. Reanalysis of Berry's data has also led to the same conclusions.…”

mentioning

confidence: 99%

Further Test of the Two-Parameter Theory of Dilute Polymer Solutions: Poly(p-bromostyrene)

Takashima

Tanaka

Yamakawa

1971

Polym J

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ABSTRACT:Light-scattering and intrinsic-viscosity data are presented for fractions of po1y(p-bromostyrene) in monochlorobenzene and dioxane at 30°C, and in benzene at temperatures ranging from 25 to 50°C. The theta temperature for this polymer in benzene is 26.3°C. With the data for the statistical-radius expansion factor as and the interpenetration function 1f! appearing in the second virial coefficient, the agreement between theory and experiment is examined with respect to the same two criteria as those employed in the previous study on poly(p-methylstyrene). The Yamakawa-Tanaka theory of as and also the modified Flory theory are again found to satisfy both criteria. The data also reproduce the relationship between the cubed viscosity-radius expansion factor and the excluded-volume parameter z if z is estimated using the Yamakawa-Tanaka equation for as. Specifically, the first-order perturbation theory of recently developed by Yamakawa and Tanaka compares well with the data near the theta temperature. The recent critical comments by lsihara and Nagasawa are also replied to.KEY WORDS Two-Parameter Theory/Excluded-Volume Effect/MeanSquare Radius/Second Virial Coefficient/Intrinsic Viscosity/Expansion Factor/Light Scattering/Poly(p-bromostyrene)/ Recently, extensive experimental tests of the two-parameter theory of dilute polymer solutions have been made by four research groups. The foremost of these is the work of Berry 1 who carried out light-scattering and viscosity measurements on solutions of polystyrene. Subsequently similar studies were made on polychloroprene by Fujita, et a/., 2 ' 3 on poly(p-methylstyrene) by Yamakawa, eta/., 4 and on poly(a-methylstyrene) by Nagasawa, et al. 6 ' 6 The raw data of the first three groups are consistent with one another, but those of Nagasawa, et al., are somewhat different from others in behavior. In addition, no definite conclusion has been reached.In this work, our primary attention is directed to the behavior of the mean-square radius

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Thermodynamic and Hydrodynamic Porperties of Linear Polymer Solutions. I. Light Scattering of Monodisperse Poly(α-methylstyrene)

Cited by 92 publications

References 6 publications

Molecular Weight Dependence of SiO2 Nanoparticle Agglomeration Behavior in Monodisperse PMMA–SiO2 Hybrid Suspension

Molecular Weight Dependence of SiO2 Nanoparticle Agglomeration Behavior in Monodisperse PMMA–SiO2 Hybrid Suspension

More on the Analysis of Dilute Solution Data: Polystyrenes Prepared Anionically in Tetrahydrofuran

Further Test of the Two-Parameter Theory of Dilute Polymer Solutions: Poly(p-bromostyrene)

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