Cover; Copyright Page; Contents; Preface; Chapter 1. Introduction; Bibliography; References; Chapter 2. Particle populations and distribution functions; 2.1 Introduction; 2.2 Distribution functions; 2.3 The distribution density function; 2.4 The distribution by number, the representative size and population averages; 2.5 Distributions based on particle composition; 2.6 Joint distribution functions; 2.7 Conditional distribution functions; 2.8 Independence; 2.9 Distributions by number; 2.10 Internal and external particle coordinates and distribution densities

2.11 Particle properties derived from internal coordinates2.12 The population balance modeling method; 2.13 The fundamental population balance equation; 2.14 The general population balance equation for comminution machines; Bibliography; References; Chapter 3. Mineral liberation; 3.1 The beta distribution for mineral liberation; 3.2 Graphical representation of the liberation distribution; 3.3 Quantitative prediction of mineral liberation; 3.4 Simulating mineral liberation during comminution; 3.5 Non-random fracture; 3.6 Discretized Andrews-Mika diagram; 3.7 Symbols used in this chapter

5.4 Progeny size distribution when a single particle breaks
the breakage function5.5 Energy requirements for comminution; 5.6 Crushing machines; 5.7 Grinding; 5.8 The continuous mill; 5.9 Mixing characteristics of operating mills; 5.10 Models for rod mills; 5.11 The population balance model for autogenous mills; 5.12 Models for the specific rate of breakage in ball mills; 5.13 Models for the specific rate of breakage in autogenous and semi-autogenous mills; 5.14 Models for the breakage function in autogenous and semi-autogenous mills; 5.15 Mill power and mill selection; 5.16 The batch mill