The sections in this article are
Introduction
Definition of Atomic Configurations
Configurational Variables
Point Variables
Point Correlation Functions and Point Probabilities
Pair Variables, Correlation Functions, and Probabilities
Generalized Cluster Variables, Correlation Functions, and Probabilities
Short‐Range Order (
sro
) Configurations–Long‐Range Order (
lro
) Configurations
The Existence Domain and Configuration Polyhedron
F
.
C
.
C
. Structure, First‐Neighbor Interactions
F
.
C
.
C
. Structure, First and Second Neighbor Interactions
B
.
C
.
C
. Structure, First and Second Neighbor Interactions
Ground States
Pair Interactions
Ground State Energies
F
.
C
.
C
. Structure, First‐Neighbor Interactions
F
.
C
.
C
. Structure, First and Second Neighbor Interactions
B
.
C
.
C
. Structure, First and Second Neighbor Interactions
Energy Minimum at Constant Composition
Canonical Energy of
lro
States
Relevant Literature
Effective Cluster Interactions (
ECIs
)
Phase Equilibria at Finite Temperatures
Cluster Variation Method
Calculation of Phase Diagrams with the
CVM
Phase Diagram Calculation with the Monte Carlo Method
Examples of Prototype Diagrams
F
.
C
.
C
. Structure, First Neighbor Interactions
F
.
C
.
C
. Structure, First and Second Neighbor Interactions
B
.
C
.
C
. Structure, First and Second Neighbor Interactions
Hexagonal Lattice, Anisotropic Nearest‐Neighbor Interactions
The Cluster Site Approximation (
CSA
)
Application to Real Systems
The
Au
Ni
System
The Thermodynamic Factor of Ordered Phases
The
B
.
C
.
C
.
Fe
Al
System
The
F
.
C
.
C
.
Ni
–
Al
System
Ternary Systems
B
.
C
.
C
.
Fe
–
Ti
–
Al
B
.
C
.
C
. Ferromagnetic
Fe
–
Co
–
Al
H
.
C
.
P
.
Cd
–
Mg
Concluding Remarks
Appendix
Acknowledgements