With a history that reaches back some 90 years, the Hume-Rothery rules were developed to provide guiding principles in the search for new alloys. Ultimately, the rules bridged metallurgy, crystallography, and physics in a way that led to the emergence of a physics of the solid state in 1930s, although the physical implications of the rules were never fully resolved. Even today, despite a revived interest brought about by the 1984 discovery of quasicrystals, much about the rules remains an enigma.
Now almost a century after the rules were put forward, Hume-Rothery Rules for Structurally Complex Alloy Phases provides researchers with an insightful and applicable interpretation of the Hume-Rothery electron concentration rule. Invoking first-principle band calculations, the book emphasizes the stability of structurally complex metallic alloys (CMAs).Written by Uichiro Mizutani, long considered the most knowledgeable expert on both the history and science of Hume-Rothery, this seminal work —
This work summarizes the ongoing history of Hume-Rothery and reflects the theoretical studies that Professor Mizutani embarked upon to gain deeper understanding of the basic physics behind stabilizing effects related to electron concentration. It describes how metallic and coval
Introduction. Chemical Bonding and Phase Diagrams in Alloy Phase Stability. Early Theories of Alloy-Phase Stability. First-Principles Band Calculations Using the Muffin-Tin Potential. Hume-Rothery Electron Concentration Rule Concerning the α/β Phase Transformation in Cu-X (X = Zn, Ga, Ge, etc.) Alloy Systems.