The phase equilibrium calculation of solid solution with magnetic transition by cluster variation method

1998 ◽  
Vol 39 (8) ◽  
pp. 1157-1162
Author(s):  
Y.W. Yuan ◽  
J.S. Pan ◽  
X.J. Liu ◽  
S.M. Hao ◽  
S. Zhao
Keyword(s):  
Solid Solution ◽  
Phase Equilibrium ◽  
Magnetic Transition ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Equilibrium Calculation ◽  
Cluster Variation

Continuous Ordering Reactions in NiAl/Ni2, AlTi Dual Phase Alloys

1988 ◽  
Vol 133 ◽  
Author(s):  
N. C. Tso ◽  
J. M. Sanchez
Keyword(s):  
Phase Equilibrium ◽  
Ternary System ◽  
Metastable Phase ◽  
Alloy System ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Dual Phase ◽  
Metastable Phase Equilibrium ◽  
Decomposition Reactions ◽  
Cluster Variation

ABSTRACTThe Cluster Variation Method is used to study metastable phase equilibrium and possible ordering reactions in the Ni2AlTi⇆;NiAl dual phase alloy system. The Cluster Variation Method was also used to model the corresponding binary alloys and the results were extrapolated to the ternary system. The occurrence of a continuous ordering reaction in the Ni-Al-Ti system is proposed and possible decomposition reactions are discussed.

Thermodynamics of mixing and ordering in pyrope — grossular solid solution

2004 ◽  
Vol 68 (1) ◽  
pp. 101-121 ◽  
Author(s):  
V. L. Vinograd ◽  
M. H. F. Sluiter ◽  
B. Winkler ◽  
A. Putnis ◽  
U. Hålenius ◽  
...  
Keyword(s):  
Solid Solution ◽  
Lattice Energy ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Miscibility Gap ◽  
Mixing Enthalpy ◽  
Size Mismatch ◽  
Short Range Ordering ◽  
Cluster Variation ◽  
The Right

AbstractStatic lattice energy calculations have been combined with cluster expansion formalism to predict pairwise ordering interactions in the pyrope–grossular solid solution. The ordering interactions, the Js, have been then used to calculate the activity-composition relations over a wide temperature range with the help of the Cluster Variation Method. It is shown that short-range ordering in the system is driven by size mismatch. The prediction of the right signs and magnitudes of the ordering interaction energies requires separation of the mixing enthalpy into the configuration-dependent (chemical) and the configuration-independent (elastic) components. The study predicts the existence of a miscibility gap below 500°C.

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