The radius expansion factor and second virial coefficient for polymer chains below the .theta. temperature

1993 ◽  
Vol 26 (19) ◽  
pp. 5061-5066 ◽  
Author(s):  
Hiromi Yamakawa
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Polymer Chains ◽  
Expansion Factor ◽  
Theta Temperature

On the theory of the second virial coefficient for polymer chains

1992 ◽  
Vol 25 (7) ◽  
pp. 1912-1916 ◽  
Author(s):  
Hiromi Yamakawa
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Polymer Chains

Collapse of Isolated Chains in a Network

1994 ◽  
Vol 376 ◽  
Author(s):  
R. M. Briber ◽  
X. Liu ◽  
B.J. Bauer
Keyword(s):  
Crosslink Density ◽  
Virial Coefficient ◽  
Linear Chain ◽  
Second Virial Coefficient ◽  
Polymer Chains ◽  
Network Density ◽  
Radius Of Gyration ◽  
Single Chain ◽  
Polystyrene Matrix ◽  
Wide Range

ABSTRACTIn this study we use small angle neutron scattering to investigate the conformation of linear deuterated polystyrene chains trapped in a crosslinked protonated polystyrene matrix. The second virial coefficient was obtained as a function of crosslink density for a wide range of crosslink density. It is shown that the second virial coefficient decreases with increasing crosslink density. By extrapolating the scattering to zero concentration of the linear chain at all values of q, the single chain scattering was obtained and radius of gyration was measured the function of network density. It was found that when the network density is low (NI < Nc where NI and Nc are the number of monomer units in the linear chain and the monomer units between crosslinks, respectively) the radius of gyration does not change. As the network density increases (NI > Nc ) radius of gyration decreases. In this region the inverse of the radius of gyration varies linearly with the inverse of Nc. When the crosslink density is very high (NI » Nc ), segregation of linear polymer chains occurs. These results are in agreement with prediction and computer simulation results of polymer chain conformation in a field of random obstacles where the crosslink junctions act as the effective obstacles.

Second virial coefficient of oligo- and poly(methyl methacrylate)s near the .THETA. temperature

1995 ◽  
Vol 28 (3) ◽  
pp. 694-700 ◽  
Author(s):  
Fumiaki Abe ◽  
Yoshiyuki Einaga ◽  
Hiromi Yamakawa
Keyword(s):  
Methyl Methacrylate ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Poly Methyl Methacrylate ◽  
Theta Temperature

scholarly journals Second Virial Coefficient of Binary Polystyrene Mixtures in Cyclohexane below the Theta Temperature

1984 ◽  
Vol 16 (8) ◽  
pp. 641-646 ◽  
Author(s):  
Zhen Tong ◽  
Yoshiyuki Einaga
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Theta Temperature

Second Virial Coefficient and Gyration-Radius Expansion Factor of Oligo- and Polystyrenes near the ϑ Temperature. Solvent Dependence

1998 ◽  
Vol 31 (22) ◽  
pp. 7728-7735 ◽  
Author(s):  
Munenori Yamada ◽  
Takenao Yoshizaki ◽  
Hiromi Yamakawa
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Gyration Radius ◽  
Expansion Factor ◽  
Solvent Dependence

Second Virial Coefficient and Gyration-Radius Expansion Factor of Oligo- and Poly(α-methylstyrene)s near the ϑ Temperature

2004 ◽  
Vol 37 (6) ◽  
pp. 2240-2248 ◽  
Author(s):  
Tomoaki Kawaguchi ◽  
Masashi Osa ◽  
Takenao Yoshizaki ◽  
Hiromi Yamakawa
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Gyration Radius ◽  
Expansion Factor

Molecular weight dependence of the second virial coefficient for flexible polymer chains in two dimensions

1989 ◽  
Vol 22 (5) ◽  
pp. 2491-2496 ◽  
Author(s):  
D. Poupinet ◽  
R. Vilanove ◽  
F. Rondelez
Keyword(s):  
Molecular Weight ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Two Dimensions ◽  
Polymer Chains ◽  
Flexible Polymer ◽  
Molecular Weight Dependence

Second Virial Coefficient of Oligo- and Polystyrenes near the .THETA. Temperature. More on the Coil-to-Globule Transition

1994 ◽  
Vol 27 (20) ◽  
pp. 5704-5712 ◽  
Author(s):  
Hiromi Yamakawa ◽  
Fumiaki Abe ◽  
Yoshiyuki Einaga
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Theta Temperature

Interpretation of Preferential Adsorption Using Random Phase Approximation Theory

1995 ◽  
Vol 60 (10) ◽  
pp. 1641-1652 ◽  
Author(s):  
Henri C. Benoît ◽  
Claude Strazielle
Keyword(s):  
Approximation Theory ◽  
Random Phase Approximation ◽  
Virial Coefficient ◽  
Random Phase ◽  
Second Virial Coefficient ◽  
Solvent Mixture ◽  
Gyration Radius ◽  
Thermodynamic Quantities ◽  
Phase Approximation ◽  
Preferential Adsorption

It has been shown that in light scattering experiments with polymers replacement of a solvent by a solvent mixture causes problems due to preferential adsorption of one of the solvents. The present paper extends this theory to be applicable to any angle of observation and any concentration by using the random phase approximation theory proposed by de Gennes. The corresponding formulas provide expressions for molecular weight, gyration radius, and the second virial coefficient, which enables measurements of these quantities provided enough information on molecular and thermodynamic quantities is available.

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