Z. Adamczyk et P. Weronski, UNORIENTED ADSORPTION OF SPHEROIDAL PARTICLES, Bulletin of the Polish Academy of Sciences. Chemistry, 44(1), 1996, pp. 9-25
Localized adsorption of non-interacting (hard) spheroidal particles on
homogeneous interfaces was analysed theoretically. In contrast to pre
vious studies, the unoriented (quasi 3D) adsorption was considered. By
applying the random sequential adsorption (RSA) approach, asymptotic
analytic expressions were derived for the surface blocking parameter B
(available surface function) in the limit of low and moderate surface
concentrations. The range of validity of the approximate analytical r
esults was determined by numerical simulations of adsorption kinetics
performed for prolate spheroids using the Monte-Carlo (MC) RSA simulat
ion technique. It was revealed by this comparison that the analytical
approximation can be used with a good accuracy for surface concentrati
ons smaller than 0.5. The numerical calculations enabled also to deter
mine the maximum (jamming) surface concentrations for unoriented adsor
ption of spheroids as a function of the elongation parameter A. It was
demonstrated that the jamming concentrations theta(infinity) are appr
oached for long adsorption times as tau(-1/4), and the system deviates
therefore considerably from the Langmuir model used often in the lite
rature.