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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 —
Offers a unified interpretation of phase stabilization mechanism of CMAs in
different classes Explains how to determine the effective valency of transition
metal elements Details establishment of d-states-mediated-FsBz interactions in
strongly orbital-hybridizing systems Covers the contrast between e/a and VEC,
two notions of electron concentration parameters and includes a way to
differentiate between them in designing new alloys Explores strengths and
shortcomings for the theory on alloy phase stability Discusses the latest take
on electron concentration for gamma-brass
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 covalent bonding styles
can be harmonized to stabilize a given phase in relation to electron
concentration and electrochemical effect as defined by the rules. Beyond
theory, the approaches presented in these pages will prove of great value to
researchers developing new functional metals and alloys.