## Abstract We propose simple expressions $\Pi /\Pi \_0 = 1 + (\varphi /\varphi \_{{\rm ex}} )^{3\alpha - 1}$ and $(\delta \_0 /\delta )^2 = 1 + (\varphi /\varphi \_{{\rm ex}} )^{2\alpha }$ for the osmotic pressure Ξ and the depletion thickness __Ξ΄__ as a function of the polymer concentration __Ο__
Effective Viscosity of Polymer Solutions: Relation to the Determination of the Depletion Thickness and Thickness of the Adsorbed Layer of Cellulose Derivatives
β Scribed by C.W. Hoogendam; J.C.W. Peters; R. Tuinier; A. de Keizer; M.A. Cohen Stuart; B.H. Bijsterbosch
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 159 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0021-9797
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β¦ Synopsis
The diffusion of silica particles with radii ranging from 12 to 510 nm in dilute solutions of carboxymethyl cellulose (M w β«Ψβ¬ 180 to 1200 kg mol Ψ1 , c CMC β«Ψβ¬ 5 to 1000 mg l Ψ1 ) was investigated by means of dynamic light scattering at pH 5 in 0.01 mol l Ψ1 NaCl. The viscosity of the polymer solution as experienced by the silica probes (the "microscopic" or effective viscosity, eff ) differs from the viscosity as determined by capillary viscometry ( p ). For small particles eff nearly equals the viscosity of the solvent ( 0 ). The effective viscosity increases with the size of the probe particles and the polymer concentration but remains less than p . The effective viscosity is interpreted in terms of a model in which the particle is surrounded by a layer of polymer free solution ( β«Ψβ¬ 0 ). The thickness of the polymer-free layer is assumed to be equal to the thickness of the depletion layer ( d ). Applying this model, a decrease in d as a function of CMC concentration is observed. At low concentration d equals the radius of gyration. The hydrodynamic layer thickness (β¦ h ) of cellulose derivatives (carboxymethyl cellulose and hydroxyethyl cellulose) adsorbed on inorganic oxide surfaces (β£-Fe 2 O 3 and SiO 2 ) is also investigated by dynamic light scattering. Upon using p maxima in β¦ h are found. However, these maxima are a consequence of an incorrect choice of the viscosity. When the viscosity is used as obtained from inert probe diffusion, no anomalies are observed.
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