In the first comprehensive treatment of these technologically important materials, the authors provide theories linking the properties of semiconductor alloys to their constituent compounds. Topics include crystal structures, bonding, elastic properties, phase diagrams, band structures, transport, ab-initio theories, and semi-empirical theories. Each chapter includes extensive tables and figures as well as problem sets.In the first comprehensive treatment of these technologically important materials, the authors provide theories linking the properties of semiconductor alloys to their constituent compounds. Topics include crystal structures, bonding, elastic properties, phase diagrams, band structures, transport, ab-initio theories, and semi-empirical theories. Each chapter includes extensive tables and figures as well as problem sets.1. Crystal Structures.- 1.1. Diamond, Zinc Blende, and Wurtzite Structures.- 1.2. Bulk Alloys.- 1.3. Alloy Structure Determined by EXAFS.- 1.4. Long-Range Ordered Semiconductor Alloys.- 1.4.1. ABC2 Structures.- 1.4.2. Bond Lengths.- 1.5. Concluding Remarks.- References.- 2. Bonding in Ordered Structures.- 2.1. Cohesive Energy in the BornOppenheimer Adiabatic Approximation.- 2.2. Density Functional Theory.- 2.3. Bonds and Bands from Local Density Functional Theory.- 2.4. Tight-Binding Approach.- 2.5. The Bond-Orbital Model.- 2.6. Polarity and Ionicity.- 2.7. Excess Energies of Ordered Alloys.- 2.8. Concluding Remarks.- References.- 3. Elasticity.- 3.1. Definitions and Analysis.- 3.2. Ab Initio Calculations.- 3.3. Valence-Force-Field Model.- 3.3.1. Diamond Structure.- 3.3.2. Zinc Blende Structure and Coulomb Force.- 3.4. Exact Tight-Binding Calculation.- 3.5. Analytical Expressions in the Bond-Orbital Model.- 3.6. Quantitative Tight-Binding Model.- 3.6.1. Full-Band-Structure Calculation.- 3.6.2. Quantitative Extended Bond-Orbital Model.- 3.7. Elasticity in Alloys.- 3.7.1. Ordered AllÌ