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.

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.

Fracture is the separation of a solid body into two or more pieces under the action of stress. Fracture can be classified into two broad categories: ductile fracture and brittle fracture. Beginning with a comparison of these two categories, this chapter discusses the nature and causes of these failure modes. Some body-centered cubic and hexagonal close-packed metals, and steels in particular, exhibit a ductile-to-brittle transition when loaded under impact and the chapter describes the use of notched bar impact testing to determine the temperature at which a normally ductile failure transitions to a brittle failure. The discussion then covers the Griffith theory of brittle fracture and the formulation of fracture mechanics. Procedures for determination of the plane-strain fracture toughness are subsequently covered. Finally, the chapter describes the effects of microstructural variables on fracture toughness of steels, aluminum alloys, and titanium alloys.

This chapter discusses the foundational principles of materials science. It begins with a review of the periodic table and the fundamental particles, including atoms, ions, and molecules, that constitute matter. It also reviews the types of bonds that form between atoms and the relative levels of force they produce. It describes the difference between crystalline and noncrystalline or amorphous materials and discusses common crystal structures, including face-centered cubic, body-centered cubic, hexagonal close packed, and diamond cubic. It also describes the structure of sodium chloride and includes a list of structurally similar compounds.

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.