Abstract
The theory for estimating the size of isotropic rodlike particles dispersed randomly in space was extended to anisotropic rodlike particles. The scattering from a random assembly of the anisotropic rods is more complex than that of the isotropic rods in that the angular dependence of the scattering depends upon the manner of orientation of the optical axes of anisotropic scattering elements as well as size of the rod. In order to evaluate size of the rod, one has to separate these two contributions. It is shown that relative intensity distribution of the intensity difference at μ=0° and 45°, i.e., (IHv)dif=|IHv(μ=0°)−IHv(μ=45°)| depends only upon size, and is identical to that of isotropic rods of the same size at large scattering angles. The intensity (IHv)dif may be then used to evaluate size of the anisotropic rodlike particle.
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R. S. Stein and M. B. Rhodes, J. Appl. Phys., 31, 1873 (1960).
R. E. Prud’homme and R. S. Stein, J. Polym. Sci., Polym. Phys. Ed., 11, 1357 (1973).
R. E. Prud’homme and R. S. Stein, J. Polym. Sci., Polym. Phys. Ed., 11, 1633 (1973).
D. Y. Yoon and R. S. Stein, J. Polym. Sci., Polym. Phys. Ed., 12, 735 (1974).
D. Y. Yoon and R. S. Stein, J. Polym. Sci., Polym. Phys. Ed., 12, 763 (1974).
R. S. Stein, private communication.
T. Hashimoto, Y. Murakami, and H. Kawai, J. Polym. Sci., Polym. Phys. Ed., 13, 1613 (1975).
O. Kratky and O. Porod, Acta Phys. Austriaca, 2, 133 (1948).
G. Porod, Acta Phys. Austriaca, 2, 255 (1948).
O. Kratky and G. Porod, J. Polym. Sci., 16, 163 (1955).
D. Le’vesque and R. E. Prud’homme, to be published.
Y. Murakami, N. Hayashi, T. Hashimoto, and H. Kawai, Polym. J., 4, 452 (1973).
M. Moritani, N. Hayashi, A. Utsuo, and H. Kawai, Polym. J., 2, 74 (1971).
If it is known that particles under consideration are the rodlike particles of model B, the relative intensity I H v (h, μ) itself depends only upon size of the particle L. Therefore, it is not necessary to take D H v (θ). It should be noted, however, that the critical angle U* is dependent upon μ.
For a qualitative evaluation of R or Rq only, it may be suffice to use a Guinier plot of the type ln h I H V (μ1) vs. h2 based on Hv scattered intensity at any particular azimuthal angle.
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Hashimoto, T., Yamaguchi, K. & Kawai, H. Light Scattering from Polymer Films Having Optically Anisotropic Rodlike Texture. II. Principle to Estimate Its Size. Polym J 9, 405–414 (1977). https://doi.org/10.1295/polymj.9.405
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DOI: https://doi.org/10.1295/polymj.9.405