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1. |
Use of numerical methods in the prediction of polymer adsorption |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1847-1864
Robert F. Hoffman,
W. C. Forsman,
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摘要:
AbstractAverage polymer segment densities and thermodynamic properties of polymer adsorbed at liquid–solid interfaces were computed by extension of the polymer adsorption theory of Forsman and Hughes. Expressions were derived for the total free energy of adsorbed polymer chains by using the Flory‐Huggins theory to represent free energy of mixing. A square‐well potential was used to represent segment–surface interaction, and configurational entropy was calculated from the probability density function for the radius of gyration of random‐flight chains. For each specified amount of surface coverage the free energy of the adsorbed polymer was minimized by varying the density of segments normal to the adsorbing surface and using a modified gradient search algorithm on a digital computer. Two different segment densities were considered, and they both gave qualitatively the same results. The two densities were (1) the sum of two Gaussian distributions and (2) a two‐step density distribution. Isotherms were then calculated by equating the partial molal free energy of polymer at the surface to that of polymer in bulk solution for each specified amount of surface coverage. The results showed that for the initial region of the isotherms the distribution of polymer segments normal to the surface consisted of a high‐density layer adjacent to the surface and a low‐density “tail” extending far out into the solution. At higher amounts of adsorbed polymer, i.e., in the general concentration range of the pseudo‐plateau, the tail of the polymer density distribution was predicted to thicken, and a single Gaussian distribution best described the segment density. Predicted adsorptions were in good agreement with reporte
ISSN:0449-2978
DOI:10.1002/pol.1970.160081101
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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2. |
Melting behavior of drawn films from polyethylene single‐crystal mats |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1865-1877
Masahiko Maeda,
Keizo Miyasaka,
Kinzo Ishikawa,
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摘要:
AbstractDrawing of mats of linear polyethylene single crystals prepared from dilute solution is possible at temperatures above about 90°C. The structure and properties of the drawn specimens are much different from those ordinary drawn bulk polymer. Drawn mats have been investigated by differential scanning calorimetry. The characteristic experimental results are: (a) a broad melting curve, (b) considerable superheating depending on the rate of heating, (c) constancy of the melting point and the heat of fusion with annealing, (d) deviation from the relation between the heat of fusion and the density obtained for the drawn bulk specimens, (e) appearance of two melting peaks in samples annealed at temperatures above about 130°C. These results imply that the structure of the drawn mat is characterized by a larger number of the tie chains connecting the neighboring crystals (the structure postulated in earlier papers) than is the case in ordinary drawn bulk polymer. It can be concluded that the transformation of a fringed micellar type of structure to the folded lamellar structure may be difficult during annealing unless crystals melt and then recrystallize during coolin
ISSN:0449-2978
DOI:10.1002/pol.1970.160081102
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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3. |
Thermodynamic study of deformation of crosslinked ethylene–propylene copolymer |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1879-1883
A. Romanov,
V. Pollák,
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摘要:
AbstractThe thermodynamics of deformation of ethylene–propylene copolymer crosslinked by dicumyl peroxide with addition of sulfur or maleic anhydride has been studied. Both the entropic (fS) and energetic (fU) components have been studied at elongations α up to 65%. It was found that the course offU/f, wherefis equilibrium stress, in dependence on α agrees with the determined difference in both chemical and physical bo
ISSN:0449-2978
DOI:10.1002/pol.1970.160081103
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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4. |
A light‐scattering photometer for use at elevated pressures |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1885-1896
G. V. Schulz,
M. Lechner,
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摘要:
AbstractA new light scattering photometer has been designed in order to perform light‐scattering measurements at various temperatures and under pressures of 1–1000 atm. Since the scattering angle is constant (90°C), the dimensions of the dissolved molecules are determined by measuring the intensity at different wavelengths. The method of measurement, the calibration of the instrument, and the treatment of data are described. By a series of test measurements on polystyrene intrans‐decalin solutions it is shown that one obtains reliable results and finds considerable effects of pressure on the radius of gyration and the fundamental thermodynamic properties of the
ISSN:0449-2978
DOI:10.1002/pol.1970.160081104
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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5. |
Viscoelastic properties of blends of “entangled” polymers |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1897-1908
W. M. Prest,
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摘要:
AbstractThe effect of molecular weight distribution on the viscoelastic properties of “entangled” polymers has been examined with blends of narrowly distributed polystyrene and broadly distributed polydimethylsiloxane. It is shown that blending laws established for nonentangled polymers do not apply to high molecular weight systems. The steady‐state shear compliance of a blend is examined as a function of its molecular weight and the molecular weight of its components, and an approximation is given for the longtime viscoelastic response of entangled b
ISSN:0449-2978
DOI:10.1002/pol.1970.160081105
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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6. |
Flow behavior of narrow‐distribution polydimethylsiloxane |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1909-1916
C. L. Lee,
K. E. Polmanteer,
E. G. King,
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摘要:
AbstractThe flow behavior of α,ω‐dihydroxypolydimethylsiloxanes, having a weight‐average number‐average molecular weight ratio of 1.1–1.2, was studied with a Cannon‐Manning viscometer and an Instron rheometer. Comparison of the flow behavior of samples with narrow and broad molecular weight distributions indicated that the onset of non‐Newtonian behavior occurred at a much higher shear rate for narrow‐distribution polydimethylsiloxanes than for polydisperse polydimethylsiloxanes. A plot of reduced viscosity versus\documentclass{article}\pagestyle{empty}\begin{document}$ \dot \gamma \eta _0 {M \mathord{\left/ {\vphantom {M T}} \right. \kern-\nulldelimiterspace} T} $\end{document}gave two experimental master curves, one for polymer of narrow distribution and the other for polydisperse polymer. The experimental master curve obtained from the narrow‐distribution polymer was found to fit the theoretical master curve derived from Graessley's entanglement theory. The viscosity–molecular weight relationship for the higher molecular weight polydimethylsiloxanes was found to be the same for both hydroxydimethylsilyl‐ and trimethylsilyl‐endblocked polymers. However, at low molecular weight, the viscosity–molecular weight curve deviated from linearity because of the association of polydimethylsiloxanols, which apparently is not significant at higher molecular weights. The critical molecular weight of entanglement,Mc, was
ISSN:0449-2978
DOI:10.1002/pol.1970.160081106
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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7. |
Effect of long‐chain branching on the relation between steady‐flow and dynamic viscosity of polyethylene melts |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1917-1925
Ramesh N. Shroff,
Mitsuzo Shida,
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摘要:
AbstractThe steady‐state viscosity η, the dynamic viscosity η′, and the storage modulusG′ of several high‐density and low‐density polyethylene melts were investigated by using the Instron rheometer and the Weissenberg rheogoniometer. The theoretical relation between the two viscosities as proposed earlier is:\documentclass{article}\pagestyle{empty}\begin{document}$ \eta \left( {\dot \gamma } \right){\rm } = {\rm }\int {H\left( {\ln {\rm }\tau } \right)} {\rm }h\left( \theta \right)g\left( \theta \right)^{{\raise0.7ex\hbox{$3$} \!\mathord{\left/ {\vphantom {3 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}} \tau {\rm }d{\rm }\ln {\rm }\tau $\end{document}, where\documentclass{article}\pagestyle{empty}\begin{document}$ \theta {\rm } = {\rm }{{\dot \gamma \tau } \mathord{\left/ {\vphantom {{\dot \gamma \tau } 2}} \right. \kern-\nulldelimiterspace} 2} $\end{document};\documentclass{article}\pagestyle{empty}\begin{document}$ {\dot \gamma } $\end{document}is the shear rate,His the relaxation spectrum, τ is the relaxation time,\documentclass{article}\pagestyle{empty}\begin{document}$ g\left( \theta \right){\rm } = {\rm }\left( {{2 \mathord{\left/ {\vphantom {2 \pi }} \right. \kern-\nulldelimiterspace} \pi }} \right)\left[ {\cot ^{ - 1} \theta {\rm } + {\rm }{\theta \mathord{\left/ {\vphantom {\theta {\left( {1 + \theta ^2 } \right)}}} \right. \kern-\nulldelimiterspace} {\left( {1 + \theta ^2 } \right)}}} \right] $\end{document}, and\documentclass{article}\pagestyle{empty}\begin{document}$ h\left( \theta \right){\rm } = {\rm }\left( {{2 \mathord{\left/ {\vphantom {2 \pi }} \right. \kern-\nulldelimiterspace} \pi }} \right)\left[ {\cot ^{ - 1} \theta {\rm } + {\rm }{{\theta \left( {1{\rm } - {\rm }\theta ^2 } \right)} \mathord{\left/ {\vphantom {{\theta \left( {1{\rm } - {\rm }\theta ^2 } \right)} {\left( {1{\rm } + {\rm }\theta ^2 } \right)^2 }}} \right. \kern-\nulldelimiterspace} {\left( {1{\rm } + {\rm }\theta ^2 } \right)^2 }}} \right] $\end{document}. Good agreement between the experimental and calculated values was obtained, without any coordinate shift, for high‐density polyethylenes as well as for a low density sample with lownw, the weight‐average number of branch points per molecule. The correlation, however, was poor with low‐density samples with large values of the long‐chain branching indexnw. This lack of coordination can be related tonw. The empirical relation of Cox and Merz fai
ISSN:0449-2978
DOI:10.1002/pol.1970.160081107
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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8. |
Dynamic mechanical properties of two copolymers of styrene andn‐hexyl methacrylate |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1927-1935
Abralkhodja S. Nigmankhodjaev,
Le‐Khac Bi,
Chiu‐Ping Wong,
John L. Schrag,
John D. Ferry,
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摘要:
AbstractThe storage (J′) and loss (J″) shear compliances have been measured for two random copolymers of styrene andn‐hexyl methacrylate with styrene contents of 18% and 30% (by weight) in the frequency range 45–4400 Hz and the temperature range 31–107°C. The data at different temperatures were combined by the method of reduced variables, and the WLF coefficients were calculated from the temperature shift factors by the method of Pierson and Kovacs. The data were compared with earlier data for the two homopolymers. The thermal expansion coefficient of the fractional free volume, and the free volume at the glass transition temperature, varied monotonically with composition, but the fractional free volume at a reference temperature of 100°C appeared to pass through a maximum as a function of concentration. Comparison of isothermal plots ofJ′ at 100°C, plots of the relaxation spectrum at 100°C, the monomer friction coefficient and its temperature dependence, and isochronal plots of the storage shear moduls at 100 radians/see all show that the properties of poly(n‐hexyl methacrylate) are very slightly affected by incorporation of 18% styrene and only moderately affected by 30% styrene. By contrast, comparison of styrene–butadiene rubber with 1,4‐polybutadiene shows a very large effect of incorporation of 23.5% styrene. These differences may be associated with local packing relations of the comonomer residues and suggest that copolymer properties cannot be readily predicted from those of the c
ISSN:0449-2978
DOI:10.1002/pol.1970.160081108
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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9. |
Effect of birefringence on the scattering of light. II. Oriented polymers |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1937-1953
D. G. Legrand,
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摘要:
AbstractIt has been considered for some time that the presence of birefringence in an oriented polymer must affect the light‐scattering behavior. Previous analyses of this phenomenon are restricted to single‐particle scattering. A more complete theory of the effect of birefringence on the scattering of light from correlated systems is presented. The measured scattering intensity is shown to be dependent upon the optical properties of the sample as well as the experimental technique and conditi
ISSN:0449-2978
DOI:10.1002/pol.1970.160081109
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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10. |
The effect of interference between anisotropic scattering entities on the light scattering from polymer films. I. Case of no impingement |
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Journal of Polymer Science Part A‐2: Polymer Physics,
Volume 8,
Issue 11,
1970,
Page 1955-1969
Richard S. Stein,
Claude Picot,
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摘要:
AbstractEquations are developed for describing the effect of interspherulitic interference on the scattering of light by anisotropic spherulites. These are used to account for the variation in VVand HHscattered intensity during the course of spherulitic crystallization. The scattering depends upon the number of spherulites, their size, their anisotropy, the difference between one of their polarizabilities and that of the surroundings, and the radial distribution function of spherulite centers.
ISSN:0449-2978
DOI:10.1002/pol.1970.160081110
出版商:John Wiley&Sons, Inc.
年代:1970
数据来源: WILEY
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