Abstract
A numerical procedure that allows for the evaluation of the scaling law between radius of gyration and molecular weight,<s2> 1/2i =Q M qi , of ideally monodisperse fractions of any polymer is proposed. The method is similar to that previously used to determine viscometric constants and chromatographic calibration functions and is based on the combination of experimental results obtained by Static Light Scattering and Size Exclusion Chromatography on polydisperse samples. The method is used to study poly[bis(2-naphthoxyphosphazene)] in THF solution at 25°C for which the relationship<s2> 1/2i =0.557 M 0.29i is obtained. The comparison between the dimensions computed with this equation and those obtained by viscometric measurements, performed under the same experimental conditions, suggest the formation of intermolecular aggregates in the solutions of this polymer.
Similar content being viewed by others
References
Huglin M. B. (Ed.),Light Scattering from Polymer Solutions, Academic, London, 1972.
De Gennes P. G.,Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, 1979
Bravo J., Tarazona M. P., Saiz E. (1992),Polymer Com.,33: 000.
Andrady A. L., Mark J. E. (1981),Eur. Polym. J.,17: 323
Bravo J., Tarazona M. P., Saiz E.,Macromolecules, Submitted
Pezzin G., Lora S., Busulini L. (1981),Polymer Bul.,5: 543
Huglin M. B., Radwan M. A. (1991),Polymer,32: 1293.
Bravo J., Tarazona M. P., Saiz E. (1991),Macromolecules,24: 4089.
Tarazona M. P., Bravo J., Rodrigo M. M., Saiz E. (1991),Polymer Bul.,26: 465
McCrackin F. L. (1977),J. Appl. Polym. Sci.,21:191.
Barrales-Rienda J. M., Romero-Galicia C., Horta A. (1983),Macromolecules,16: 932.
Barrales-Rienda J. M., Galera-Gómez P. A., Horta A., Saiz E. (1985),Macromolecules,18: 2572.
Horta A., Saiz E., Barrales-Rienda J. M., Galera-Gómez P. A. (1986),Polymer,27: 139.
Press W. H., Flannery B. P., Teukolsky S. A., Vetterling W. T.,Numerical Recipes. The Art of Scientific Computing. Cambridge University Press, Cambridge, 1972.
Neilson R. H., Hani R., Wisian Neilson P., Meister J. S., Roy A., Hagnauer G. L. (1987),Macromolecules,20: 910.
Flory P. J.,Principles of Polymer Science, Cornell University Press, Ithaca, 1979
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tarazona, M.P., Bravo, J. & Saiz, E. Scaling law for the radius of gyration of poly[bis(2-naphthoxyphosphazene)] (PBNP). Polymer Bulletin 29, 469–475 (1992). https://doi.org/10.1007/BF00944846
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00944846