DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Evidence of ordering in Cu-Ni alloys from experimental electronic entropy measurements

Journal Article · · Physical Review. B

Phase diagrams exhibiting extended solid-solution and lenslike melting are often reproduced using ideal solutions, where ideal mixing considers a fully random configurational entropy of mixing. In the field of irreversible thermodynamics, experimental measurements of the composition variation of high-temperature electronic transport and molten-state properties suggest, however, a strong role for short-range atomic ordering in these systems. Herein, measurements of the thermopower and resistivity are reported for Cu-Ni solid solutions as a function of temperature and composition. The electronic transport properties were interpreted with an irreversible thermodynamic framework, revealing a large electronic contribution to the entropy of mixing. By considering a cluster model for the configurational entropy that uses the electronic contribution to inform the existence of ordered associates, we rationalize such a contribution of the electronic entropy with the ideal entropy of mixing commonly used to model such systems. In conclusion, these results suggest that the short-range order of the atoms plays a significant role in both solid and liquid states, even when there are no dominant intermetallic compounds in these alloys.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
US Air Force Office of Scientific Research (AFOSR); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2512455
Report Number(s):
SAND--2025-01484J
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 10 Vol. 109; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (55)

The thermodynamic properties of copper‐nickel alloys journal August 1969
Thermodynamische Untersuchung flüssiger Nickel-Kupfer-Legierungen journal August 1971
The Hall Effect in Metals and Alloys book December 1971
Heat of formation of liquid copper alloys with 3d-transition metals journal July 1996
Zur Elektronentheorie der Metalle auf Grund der Fermischen Statistik: I. Teil: Allgemeines, Str�mungs- und Austrittsvorg�nge journal January 1928
Thermodynamic studies of liquid copper alloys by electromotive force method: Part II. The Cu−Ni−O and Cu−Ni systems journal July 1973
Determination of the enthalpy of mixing of liquid alloys using a high-temperature mixing calorimeter journal August 1993
Applicability of butler’s equation in interpreting the thermodynamic behavior of surfaces and adsorption in Fe-S-O melts journal April 1996
Thermophysical Properties of Undercooled Liquid Cu?Ni Alloys journal September 2004
Phase equilibria and thermodynamics of binary copper systems with 3d-metals. VI. Copper-nickel system journal September 2007
Thermodynamic and Structural Study of the Copper-Aluminum System by the Electrochemical Method Using a Copper-Selective Beta″ Alumina Membrane journal September 2018
Thermodynamic properties of solid copper-nickel alloys journal January 1962
Thermopower and the virtual bound state in liquid CuNi journal February 1990
The Thermo-Calc databank system journal April 1985
Thermodynamic re-evaluation of the CuNi system journal July 1992
Vibrational thermodynamics of materials journal May 2010
Statistical Physics of Fields book January 2007
Improved Derivation of the Butler Equations for Surface Tension of Solutions journal July 2019
Adiabatic high-temperature calorimeter for the measurement of heats of alloying journal January 1963
The Electrical Resistivity and Thermopower of Nickel-Copper Alloys journal May 1974
Vi. - Theoretical Models for Ordering and Kineticsthe Cluster Variation Method journal December 1977
On the entropy of mixing of liquid transition metal based alloys journal November 1980
New experimental methodology, setup and LabView program for accurate absolute thermoelectric power and electrical resistivity measurements between 25 and 1600 K: Application to pure copper, platinum, tungsten, and nickel at very high temperatures journal September 2014
The ordinary transport properties of the noble metals journal January 1961
Disorder in liquid Cu–Pd alloys journal March 2011
Connecting electronic entropy to empirically accessible electronic properties in high temperature systems journal September 2016
A thermodynamic basis for the electronic properties of molten semiconductors: the role of electronic entropy journal December 2016
The Hall coefficient of dilute alloys of copper and silver journal July 1969
Electronic and packing contributions to the entropy of mixing of liquid transition-metal-based alloys journal April 1985
The thermodynamics of the surfaces of solutions
  • Butler, John Alfred Valentine
  • Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 135, Issue 827, p. 348-375 https://doi.org/10.1098/rspa.1932.0040
journal March 1932
Short- and Long-Range Order Parameters in Disordered Solid Solutions journal December 1960
Hall Coefficients of Cu, Ag, and Au in the Range 4.2-300°K journal October 1968
The Application of Onsager's Reciprocal Relations to Thermoelectric, Thermomagnetic, and Galvanomagnetic Effects journal June 1948
An Approximate Theory of Order in Alloys journal March 1950
Band Model for Hall Effect, Magnetization, and Resistivity of Magnetic Metals journal February 1955
Relationship of thermoelectricity to electronic entropy journal November 1984
Electronic entropy contribution to the metal insulator transition in VO2 journal October 2020
Hall Effect in Copper-Base Alloys at Room Temperature journal May 1971
Surface segregation and concentration fluctuations at the liquid-vapor interface of molten Cu-Ni alloys journal December 1991
Vibrational and electronic entropy of β-cerium and γ-cerium measured by inelastic neutron scattering journal April 2002
First Principles Explanation of the Positive Seebeck Coefficient of Lithium journal May 2014
Field-Induced Quantum Critical Point in C e C o I n 5 journal December 2003
Contribution of electronic entropy to the order-disorder transition of Cu3Au journal June 2021
Hall Effect in Ferromagnetic Materials journal January 1953
Viscosity of Cu–Ni Melts journal February 2019
The Thermoelectric, Galvanomagnetic and Thermomagnetic Effects of Monovalent Metals. III. The Galvanomagnetic and Thermomagnetic Effects for Anisotropic Media. journal September 1958
Interpretation of the Hall Coefficient and the Resistivity of Noble Metal Alloys journal December 1967
Constitution of Binary Alloys journal January 1958
Thermodynamic properties of Cu–Ni alloys: measurements and assessment journal May 1989
The importance of high temperature electron-phonon coupling to the thermodynamic properties of Ce0.9Th0.1 and other f-electron bonded metals journal January 2003
Use of Thermodynamic Data to Determine Surface Tension and Viscosity of Metallic Alloys journal April 1999
Densities of Binary Copper Based Alloys in Liquid State journal January 1972
Evaluation of Surface Tension of Molten Ionic Mixtures journal January 2006
A Calorimetric Study of Heats of Mixing of Nickel or Cobalt Alloys journal January 1977
Entropy of Conduction Electrons from Transport Experiments journal February 2020