356 pages | 142 B/W Illus.
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 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.
… overall, the present book is an excellent update on complex alloy phases in metallic systems : both crystalline and quasicrystalline , which shall find place in major libraries of science and technology.
What is the Definition of the Hume-Rothery Rules?
Historical Survey of Chemistry and Metallurgy
Historical Survey of Crystallography
Historical Survey of Physics
Chemical Bonding and Phase Diagrams in Alloy Phase Stability
Cohesive Energy of a Solid
Free Energy of Formation and Enthalpy of Formation
Kinetic Energy of Electrons and the Role of the Pseudogap
Early Theories of Alloy-Phase Stability
Mott-Jones Model for Alpha-, Beta-, and Gamma-Brasses
The Model of Jones (I)
The Model of Jones (II)
First-Principles Band Calculations Using the Muffin-Tin Potential
First-Principles Band Calculations versus the Hume-Rothery Electron Concentration Rule
Origin of the Pseudogap: Orbital Hybridizations versus FsBz interactions
What Are First-Principles Band Calculations?
All-Electron Band Calculations Within the Muffin-Ti n Approximation
Wave Functions Inside and Outside the MT Sphere
Orthogonality Condition with Core Electron States
LMTO -ASA Method
Extraction of spd-d Orbital Hybridizations in the LMTO -ASA Method
AP W Method
LAP W Method
Hume-Rothery Electron Concentration Rule Concerning the α/β Phase Transformation in Cu-X (X = Zn, Ga, Ge, etc.) Alloy Systems
Stable fcc-Cu versus Metastable bcc-Cu
Fir st-Pri nciples Band Calculations for fccand bcc-Cu in Literature
FLAP W Electronic Structure Calculations for fcc- and bcc-Cu
Total-Energy and Valence-Band Structure Energy