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Light Scattering (pp. 53-63 in Shaw and pp. 193-244 in Hiemenz and Rajagopalan). Introduction Rayleigh Scattering Debye Scattering, Zimm Plots Dynamic Light Scattering. Introduction. Transmitted. Absorbed. Scattered. Turbidity. When there is no absorption.
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Light Scattering (pp. 53-63 in Shaw and pp. 193-244 in Hiemenz and Rajagopalan) • Introduction • Rayleigh Scattering • Debye Scattering, Zimm Plots • Dynamic Light Scattering
Introduction Transmitted Absorbed Scattered Turbidity When there is no absorption • Information Obtained • Particle mass • non-perturbed • absolute determination • instantaneous • Particle size and shape • Dynamic information (diffusion constants)
Rayleigh Scattering • particles small (< l/20, about 20-25 nm) • refractive index similar to medium • Debye Scattering • particles relatively large • refractive index similar to medium • Mie Scattering • few constraints on size or refractive index • easily applied only to spherical particles, • or particles where geometry is known (NOT discussed here)
Rayleigh Scattering Rayleigh found the following relationship for point scatterers (i.e. particle size < l/20): Why is the sky blue? (lred=700 nm, lblue=400 nm) Vertically vs. horizontally polarised light Insert Shaw Fig. 3.6
Find an expression for a and replace in the Rayleigh equation... Assumptions • scatterers are isotropic,dielectric, • non-absorbing • n is not too large • size of scatterers is small cf. light wavelength
Comparison to osmotic pressure • measurements: • Instantaneous, kinetics possible • covers a different particle size range Debye Scattering If particle size>l/20 we get interference effects... Use a correction factor P(Q)
Correction term derived from X-ray scattering theory... Physical meaning of radius of gyration... n2 n1 r2 r3 n3 r1 centre of mass average radius swept out by a chain of n particles (e.g. polymer, protein…)
Zimm Plots No interference effect, just like Rayleigh eqn. slope gives i.e. particle size info. particle MW info--Zimm plot c=0 Q=0 2B (+ Overheads)