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Scaling law for the radius of gyration of poly[bis(2-naphthoxyphosphazene)] (PBNP)

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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.

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References

  1. Huglin M. B. (Ed.),Light Scattering from Polymer Solutions, Academic, London, 1972.

    Google Scholar 

  2. De Gennes P. G.,Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, 1979

    Google Scholar 

  3. Bravo J., Tarazona M. P., Saiz E. (1992),Polymer Com.,33: 000.

    Google Scholar 

  4. Andrady A. L., Mark J. E. (1981),Eur. Polym. J.,17: 323

    Google Scholar 

  5. Bravo J., Tarazona M. P., Saiz E.,Macromolecules, Submitted

  6. Pezzin G., Lora S., Busulini L. (1981),Polymer Bul.,5: 543

    Google Scholar 

  7. Huglin M. B., Radwan M. A. (1991),Polymer,32: 1293.

    Google Scholar 

  8. Bravo J., Tarazona M. P., Saiz E. (1991),Macromolecules,24: 4089.

    Google Scholar 

  9. Tarazona M. P., Bravo J., Rodrigo M. M., Saiz E. (1991),Polymer Bul.,26: 465

    Google Scholar 

  10. McCrackin F. L. (1977),J. Appl. Polym. Sci.,21:191.

    Google Scholar 

  11. Barrales-Rienda J. M., Romero-Galicia C., Horta A. (1983),Macromolecules,16: 932.

    Google Scholar 

  12. Barrales-Rienda J. M., Galera-Gómez P. A., Horta A., Saiz E. (1985),Macromolecules,18: 2572.

    Google Scholar 

  13. Horta A., Saiz E., Barrales-Rienda J. M., Galera-Gómez P. A. (1986),Polymer,27: 139.

    Google Scholar 

  14. Press W. H., Flannery B. P., Teukolsky S. A., Vetterling W. T.,Numerical Recipes. The Art of Scientific Computing. Cambridge University Press, Cambridge, 1972.

    Google Scholar 

  15. Neilson R. H., Hani R., Wisian Neilson P., Meister J. S., Roy A., Hagnauer G. L. (1987),Macromolecules,20: 910.

    Google Scholar 

  16. Flory P. J.,Principles of Polymer Science, Cornell University Press, Ithaca, 1979

    Google Scholar 

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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

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  • DOI: https://doi.org/10.1007/BF00944846

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