The building block of all matter, including metals, is the atom. This chapter initially provides information on atomic bonding and the crystal structure of metals and alloys, followed by a description of three crystal lattice structures of metals: face-centered cubic, hexagonal close-packed, and body-centered cubic. It then describes the four main divisions of crystal defects, namely point defects, line defects, planar defects, and volume defects. The chapter provides information on grain boundaries of metals, processes involved in atomic diffusion, and key properties of a solid solution. It also explains the aspects of a phase diagram that shows what phase or phases are present in the alloy under conditions of thermal equilibrium. Finally, a discussion on the applications of equilibrium phase diagrams is presented.

This chapter introduces many of the key concepts on which metallurgy is based. It begins with an overview of the atomic nature of matter and the forces that link atoms together in crystal lattice structures. It discusses the types of imperfections (or defects) that occur in the crystal structure of metals and their role in mechanical deformation, annealing, precipitation, and diffusion. It describes the concept of solid solutions and the effect of temperature on solubility and phase transformations. The chapter also discusses the formation of solidification structures, the use of equilibrium phase diagrams, the role of enthalpy and Gibb’s free energy in chemical reactions, and a method for determining phase compositions along the solidus and liquidus lines.

Bonding in solids may be classified as either primary or secondary bonding. Methods of primary bonding include the metallic, ionic, and covalent bonds. This chapter discusses and provides a comparison of the properties of these bonds. This is followed by a discussion on crystalline structure, providing information on space lattices and crystal systems, hexagonal close-packed systems, and face-centered and body-centered cubic systems. The chapter then covers slip systems and closes with a brief section on allotropic transformations that occur at a constant temperature during either heating or cooling.

This appendix explains how to calculate atomic packing factors, lattice parameters, and coordination numbers for cubic crystal structures, including simple, body-centered, and face-centered cubic systems. It also addresses hexagonal close-packed systems.

This appendix explains how to identify crystallographic planes and directions. It shows how Miller indices, a system for specifying crystallographic planes within a unit cell, are determined for cubic and hexagonal systems. It also explains how x-ray diffraction techniques are used in the study of crystalline structures.