Description
Brings together in one place the fundamental theory and models, and the practical aspects of submicron particle engineering
This book attempts to resolve the tricky aspects of engineering submicron particles by discussing the fundamental theories of frequently used research tools—both theoretical and experimental. The first part covers the Fundamental Models and includes sections on nucleation, growth, inter-molecular and inter-particle forces, colloidal stability, and kinetics. The second part examines the Modelling of a Suspension and features chapters on fundamental concepts of particulate systems, writing the number balance, modelling systems with particle breakage and aggregation, and Monte Carlo simulation. The book also offers plenty of diagrams, software, examples, brief experimental demonstrations, and exercises with answers.
Engineering of Submicron Particles: Fundamental Concepts and Models offers a lengthy discussion of classical nucleation theory, and introduces other nucleation mechanisms like organizer mechanisms. It also looks at older growth models like diffusion controlled or surface nucleation controlled growth, along with new generation models like connected net analysis. Aggregation models and inter-particle potentials are touched upon in a prelude on intermolecular and surface forces. The book also provides analytical and numerical solutions of population balance models so readers can solve basic population balance equations independently.
- Presents the fundamental theory, practical aspects, and models of submicron particle engineering
- Teaches readers to write number balances for their own system of interest
- Provides software with open code for solution of population balance model through discretization
- Filled with diagrams, examples, demonstrations, and exercises
Engineering of Submicron Particles: Fundamental Concepts and Models will appeal to researchers in chemical engineering, physics, chemistry, engineering, and mathematics concerned with particulate systems. It is also a good text for advanced students taking particle technology courses.
Table of Contents
Preface xi
About the Companion Website xv
1 Nucleation 1
1.1 Thermodynamics of Interfaces 1
1.2 Homogeneous Nucleation 13
1.3 Non-Homogeneous Nucleation 28
1.4 Exercises 31
2 Growth 35
2.1 Traditional Crystal Growth Models 36
2.2 Face Growth Theories 44
2.3 Measurement of Particle Size and Shape 49
2.4 Exercises 55
3 Inter-Particle Forces 57
3.1 Inter-Molecular Forces 58
3.2 Inter-Particle Forces 63
3.3 Measurement of Inter-Molecular Forces 68
3.4 Measurement of Forces between Surfaces 70
3.5 Exercises 73
4 Stability 75
4.1 Electrostatic Potential Near a Charged Surface 76
4.2 Solution of the Poisson–Boltzmann Equation 77
4.3 Repulsive Force between Two Surfaces 80
4.4 Steric Stabilization 85
4.5 Kinetics of Stability 86
4.6 Measurement of Surface Potential 92
4.7 Exercises 97
5 Elementary Concepts of Number Balance 101
5.1 State of a Particle 102
5.2 State of a Population of Particles 105
5.3 Number Balance for a Seeded Batch Crystallizer 110
5.4 Number Balance for Open Systems 115
5.5 Exercises 118
6 Breakage and Aggregation 121
6.1 Breakage Functions 121
6.2 Number Balance for Breakage 126
6.3 The Process of Aggregation 129
6.4 Exercises 138
7 Solution of the Population Balance Equation 143
7.1 Operations Involving Moments of the PBE 143
7.2 Analytical Solutions of the PBE 146
7.3 Numerical Solution of the PBE 152
7.4 Exercises 155
8 Kinetic Monte Carlo Simulation 157
8.1 Random Variables 157
8.2 Algorithm for KMC Simulation 159
8.3 Exercises 166
A Mathematical Topics 167
B Solution of Selected Problems 175
C Codes 185
D Experimental Demonstration 201
Bibliography 202
Index 203
