Adv Polym Sci (2014) 255: 57–96
DOI: 10.1007/12_2012_171
# Springer-Verlag Berlin Heidelberg 2012
Published online: 8 August 2013
Aggregation of Charged Colloidal Particles
Nikolai I. Lebovka
Abstract This chapter reviews the recent progress in aggregation of colloidal
particles with long-range interactions, including simple colloids and polyelectrolytes. The relevant interactions between colloidal particles, including Born
repulsion, van der Waals, electrostatic, structural solvation, hydrophobic hydrodynamic interactions and attraction between like-charge colloids, charge nonuniformity, and adsorbed polymer, are analyzed. The main types of computer models
used for simulation of cluster morphology and aggregation kinetics of the different
interacting species (similarly and oppositely charged particles and polyelectrolytes)
are reviewed. The main scaling laws for different aggregating kernels that describe
diffusion-limited, reaction-limited, gelling, and retarded aggregations are also
presented and analyzed.
Keywords Aggregation Á Charged particles Á Colloids Á Kinetics Á Morphology Á
Polyelectrolyte complex (PEC)
Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
2 Interactions Between Colloidal Particles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
2.1 van der Waals Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
2.2 Electrostatic Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
2.3 Born Repulsion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
2.4 Structural Solvation Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
2.5 Hydrophobic Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
2.6 Effect of Polymers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
2.7 Hydrodynamic Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
N.I. Lebovka (*)
Institute of Biocolloidal Chemistry Named After F.D. Ovcharenko, NAS of Ukraine,
42, blvr. Vernadskogo, 03142 Kiev, Ukraine
e-mail: lebovka@gmail.com
DOI: 10.1007/12_2012_171
# Springer-Verlag Berlin Heidelberg 2012
Published online: 8 August 2013
Aggregation of Charged Colloidal Particles
Nikolai I. Lebovka
Abstract This chapter reviews the recent progress in aggregation of colloidal
particles with long-range interactions, including simple colloids and polyelectrolytes. The relevant interactions between colloidal particles, including Born
repulsion, van der Waals, electrostatic, structural solvation, hydrophobic hydrodynamic interactions and attraction between like-charge colloids, charge nonuniformity, and adsorbed polymer, are analyzed. The main types of computer models
used for simulation of cluster morphology and aggregation kinetics of the different
interacting species (similarly and oppositely charged particles and polyelectrolytes)
are reviewed. The main scaling laws for different aggregating kernels that describe
diffusion-limited, reaction-limited, gelling, and retarded aggregations are also
presented and analyzed.
Keywords Aggregation Á Charged particles Á Colloids Á Kinetics Á Morphology Á
Polyelectrolyte complex (PEC)
Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
2 Interactions Between Colloidal Particles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
2.1 van der Waals Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
2.2 Electrostatic Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
2.3 Born Repulsion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
2.4 Structural Solvation Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
2.5 Hydrophobic Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
2.6 Effect of Polymers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
2.7 Hydrodynamic Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
N.I. Lebovka (*)
Institute of Biocolloidal Chemistry Named After F.D. Ovcharenko, NAS of Ukraine,
42, blvr. Vernadskogo, 03142 Kiev, Ukraine
e-mail: lebovka@gmail.com