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Title: Theoretical calculation of the melting curve of Cu-Zr binary alloys

Journal Article · · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 [1];  [1];  [1];  [2]
  1. Ames Lab. and Iowa State Univ., Ames, IA (United States)
  2. Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Chemistry

Helmholtz free energies of the dominant binary crystalline solids found in the Cu-Zr system at high temperatures close to the melting curve are calculated. This theoretical approach combines fundamental measure density functional theory (applied to the hard-sphere reference system) and a perturbative approach to include the attractive interactions. The studied crystalline solids are Cu(fcc), Cu51Zr14(β), CuZr(B2), CuZr2(C11b), Zr(hcp), and Zr(bcc). The calculated Helmholtz free energies of crystalline solids are in good agreement with results from molecular-dynamics (MD) simulations. Using the same perturbation approach, the liquid phase free energies are calculated as a function of composition and temperature, from which the melting curve of the entire composition range of this system can be obtained. Phase diagrams are determined in this way for two leading embedded atom method potentials, and the results are compared with experimental data. Furthermore, theoretical melting temperatures are compared both with experimental values and with values obtained directly from MD simulations at several compositions.

Research Organization:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-07CH11358; W-7405-ENG-82
OSTI ID:
1226913
Alternate ID(s):
OSTI ID: 1180821
Report Number(s):
IS-J-8553; PLEEE8
Journal Information:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, Issue 5; ISSN 1539-3755
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

References (40)

Theoretical approach to the correlations of a classical crystal journal August 1996
Bulk metallic glass formation in the binary Cu–Zr system journal May 2004
Free‐energy model for the inhomogeneous hard‐sphere fluid: ‘‘Closure’’ relation between generating functionals for ‘‘direct’’ and ‘‘cavity’’ distribution functions journal September 1990
Perturbation theory of solid-liquid interfacial free energies of bcc metals journal September 2012
Perturbation Theory of Fluids at High Temperatures journal April 1970
Properties of non-fcc hard-sphere solids predicted by density functional theory journal August 2006
Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids journal June 1971
Calculations of free energies in liquid and solid phases: Fundamental measure density-functional approach journal June 2004
Bulk metallic glasses journal June 2004
Development of suitable interatomic potentials for simulation of liquid and amorphous Cu–Zr alloys journal April 2009
Phase stability for the Cu–Zr system: First-principles, experiments and solution-based modeling journal April 2010
Predicting the solid state phase diagram for glass-forming alloys of copper and zirconium journal May 2012
Constitutional and structural studies of the intermetallic phase, ZrCu journal May 1980
Freezing of simple liquid metals journal August 1999
Mechanical Behavior of Metallic Glasses: Microscopic Understanding of Strength and Ductility journal August 2008
A perturbation theory of classical equilibrium fluids journal January 1985
Fundamental measure theory for hard-sphere mixtures revisited: the White Bear version journal November 2002
Nonperturbative density-functional theories of classical nonuniform systems journal June 1990
Zr 14 Cu 51 and Hf 14 Cu 51 with GdAg 3.6 structure type journal February 1975
Fundamental measure theory and dimensional interpolation for the hard spheres fluid journal April 2002
Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres journal February 1971
Fundamental-measure free-energy density functional for hard spheres: Dimensional crossover and freezing journal April 1997
Perturbation Theory for Classical Solids journal September 1996
A blip-function calculation of the structure of liquid binary alloys journal August 1985
Weighted-density-functional and simulation studies of the bcc hard-sphere solid journal June 1987
Formation, Thermal Stability and Mechanical Properties of Cu-Zr and Cu-Hf Binary Glassy Alloy Rods journal January 2004
Fundamental measure density functional theory studies on the freezing of binary hard-sphere and Lennard-Jones mixtures journal July 2008
Theoretical studies of the correlations in moderately asymmetric binary hard-sphere solid mixtures journal May 2008
Bulk amorphous metal—An emerging engineering material journal March 2002
Stabilization of metallic supercooled liquid and bulk amorphous alloys journal January 2000
Relationship between structure, dynamics, and mechanical properties in metallic glass-forming alloys journal July 2008
Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing journal August 1989
Density Functional for Hard Sphere Crystals: A Fundamental Measure Approach journal January 2000
Relationship between the Hard-Sphere Fluid and Fluids with Realistic Repulsive Forces journal October 1971
Phase diagrams of binary alloys calculated from a density functional theory journal January 2009
Theoretical Evidence for a Dense Fluid Precursor to Crystallization journal February 2006
Accurate method to calculate liquid and solid free energies for embedded atom potentials journal March 2003
Atomic Level Structure in Multicomponent Bulk Metallic Glass journal June 2009
Application of the embedded-atom method to liquid transition metals journal September 1985
Bulk metallic glasses journal August 2001

Cited By (2)

Theoretical prediction of crystallization kinetics of a supercooled Lennard-Jones fluid journal May 2018
Minimising oxygen contamination through a liquid copper-aided group IV metal production process journal November 2018

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