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

Light-scattering and intrinsic-viscosity data are presented for fractions of poly(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 αs and the interpenetration function Ψ 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 αs 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 αη3 and the excluded-volume parameter z if z is estimated using the Yamakawa–Tanaka equation for αs. Specifically, the first-order perturbation theory of αη3 recently developed by Yamakawa and Tanaka compares well with the data near the theta temperature. The recent critical comments by Isihara and Nagasawa are also replied to.

[1]  I. Noda,et al.  Thermodynamic and Hydrodynamic Properties of Linear Polymer Solutions. II. Limiting Viscosity Number of Monodisperse Poly(α-methylstyrene) , 1970 .

[2]  I. Noda,et al.  Thermodynamic and Hydrodynamic Porperties of Linear Polymer Solutions. I. Light Scattering of Monodisperse Poly(α-methylstyrene) , 1970 .

[3]  H. Fujita A New Method of Treating Light-Scattering Data on Dilute Polymer Solutions , 1970 .

[4]  Hiromi Yamakawa,et al.  Transport Properties of Polymer Chains in Dilute Solution: Hydrodynamic Interaction , 1970 .

[5]  A. Isihara,et al.  Some consideration of excluded volume effects in dilute polymer solutions , 1970 .

[6]  H. Yamakawa,et al.  Experimental Test of the Two‐Parameter Theory of Dilute Polymer Solutions: Poly‐p‐methylstyrene , 1970 .

[7]  H. Yamakawa,et al.  Dilute‐Solution Properties of Polar Polymers: Poly‐p‐chlorostyrene and Poly‐p‐bromostyrene , 1970 .

[8]  T. Norisuye,et al.  Some Topics Concerning the Radius of Gyration of Linear Polymer Molecules in Solution , 1970 .

[9]  Y. Tagami,et al.  Statistical Thermodynamics of Polymer Solutions. VII. The Triple‐Contact Contribution to Pairwise Interactions of Linear Chains Differing in Molecular Weight , 1969 .

[10]  H. Fujita,et al.  Excluded volume effects in dilute polymer solutions. III. Relation between statistical and hydrodynamic expansion factors in the vicinity of the theta point , 1968 .

[11]  K. Kawahara,et al.  Excluded‐Volume Effects in Dilute Polymer Solutions. II. Limiting Viscosity Number , 1968 .

[12]  A. Teŕamoto,et al.  Excluded‐Volume Effects in Dilute Polymer Solutions. I. Equilibrium Properties , 1968 .

[13]  S. Gundiah,et al.  Viscosity‐molecular weight relationships for poly p‐chlorostyrene , 1968 .

[14]  M. Fixman,et al.  Polymer Dynamics: Boson Representation of Gyration Radius , 1968 .

[15]  H. Yamakawa Correlations between the Excluded Volumes and the Second Virial Coefficients of Linear Polymer Chains , 1968 .

[16]  H. Yamakawa,et al.  Excluded‐Volume Effects in Linear Polymer Chains: A Hierarchy of Differential Equations , 1967 .

[17]  G. Berry Thermodynamic and Conformational Properties of Polystyrene. II. Intrinsic Viscosity Studies on Dilute Solutions of Linear Polystyrenes , 1967 .

[18]  M. Fixman Polymer dynamics: boson representation and excluded-volume forces. , 1966, The Journal of chemical physics.

[19]  M. Fixman Polymer dynamics: non-Newtonian intrinsic viscosity. , 1966, The Journal of chemical physics.

[20]  G. Berry Thermodynamic and Conformational Properties of Polystyrene. I. Light‐Scattering Studies on Dilute Solutions of Linear Polystyrenes , 1966 .

[21]  P. Flory,et al.  Effect of Volume Exclusion on the Dimensions of Polymer Chains , 1966 .

[22]  Motozo Kaneko,et al.  Unperturbed dimensions of polystyrene derivatives , 1965 .

[23]  M. Kurata,et al.  Second Virial Coefficient of Linear Polymer Molecules , 1964 .

[24]  J. Hearst Effect of Partial Draining on the Intrinsic Viscosity of Flexible Macromolecules , 1962 .

[25]  W. Stockmayer Problems of the statistical thermodynamics of dilute polymer solutions , 1960 .

[26]  M. Kurata,et al.  Theory of Dilute Polymer Solution. II. Osmotic Pressure and Frictional Properties , 1958 .

[27]  E. Teramoto,et al.  Theory of Dilute Polymer Solution. I. Excluded Volume Effect , 1958 .

[28]  A. C. Albrecht Random Flight Model in the Theory of the Second Virial Coefficient of Polymer Solutions , 1957 .

[29]  P. Flory,et al.  Relationship of the Second Virial Coefficient to Polymer Chain Dimensions and Interaction Parameters , 1957 .

[30]  B. Zimm Dynamics of Polymer Molecules in Dilute Solution: Viscoelasticity, Flow Birefringence and Dielectric Loss , 1956 .

[31]  P. Flory,et al.  Treatment of Intrinsic Viscosities , 1951 .

[32]  P. Flory,et al.  Statistical Mechanics of Dilute Polymer Solutions. II , 1950 .

[33]  Paul J. Flory,et al.  The Configuration of Real Polymer Chains , 1949 .

[34]  P. Debye,et al.  Molecular-weight determination by light scattering. , 1947, The Journal of physical and colloid chemistry.

[35]  B. Zimm,et al.  A convenient small osmometer. , 1946, Journal of the American Chemical Society.