Preface. 1. Environment classification and structural stability maps (P. Villars, K. Mathis, F. Hulliger). Philosophy of structural stability maps. A simplified classification concept based on coordination number. The generalized structure types. Two-dimensional stability maps. Three-dimensional stability maps. Discussion and concluding remarks. 2. Crystal coordination formulas (W.B. Jensen). Introduction. Crystal coordination formulas. Summary and conclusions. Appendix: Crystal coordination formulas and structure maps. 3. Quantum theory of structure: sp-bonded systems (J. Hafner). Theoretical challenges in understanding the structures of solids and liquids. The reduction of the electron-ion Hamiltonian. Potentials and pseudo-potentials. The structures of the elements. Structure and cohesion of binary alloys. Solid solutions. Intermetallic compounds. Liquid alloys. Conclusions and outlook. 4. Quantum theory of structure: tight-binding systems (J.A. Majewski, P. Vogl). Survey of crystal structure theories. Tight-binding theory of structural stability of crystals. Bonding in transition metals. Structural stability of pd-bonded compounds. Structural properties and crystal stability of sp-bonded solids. Conclusions. (All chapters contain references). Author index. Subject index.