Ornstein-Zernike scattering function

The correlation length of the polymer solution can be estimated in the static light scattering. Here, we use the Ornstein-Zernike correlation function goz(r) to find f experimentally. This correlation function is often used for the correlation (Ap(r)Ap(O))/p of the density fluctuation Ap(r) = p(r) — (p) in the semidilute polymer solution. The function is expressed as... 

Fig. 11. Relative density fluctuations of BMMPC measured by light scattering (Is) and saxs at two temperatures Tg + 52 K and Tg + 82 K. The curves are obtained by fitting with the Ornstein-Zernike function.

Most modern theories are based on the equation of Ornstein and Zernike (OZ). This equation was developed eighty years ago to describe light scattering in a fluid. Its utility in the theory of fluids was realized much later, about thirty-five years ago. The OZ equation is obtained by defining the total correlation function,... 

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