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

Title: Interdiffusion in Cr–Fe–Co–Ni medium-entropy alloys

Abstract

Diffusion in multi-component alloys is attracting renewed attention because of the worldwide interest in high- and medium-entropy alloys (HEAs/MEAs). In the present work, we used diffusion multiples made from MEAs of the quaternary Cr–Fe–Co–Ni system arranged as six distinct pseudo-binary diffusion couples (Cr29Fe13Co29Ni29–Cr29Fe29Co29Ni13, Cr29Fe29Co13Ni29–Cr29Fe29Co29Ni13, and so on, where the interdiffusing elements are italicized for clarity). In the two halves of each couple, the starting concentrations of the interdiffusing elements (Fe,Ni and Co,Ni in the above examples) were different while those of the background elements (Cr,Co and Cr,Fe in the above examples) were the same. The diffusion multiples were annealed at temperatures between 1153 and 1355 K at times from 100 to 900 h, after which the concentrations of the different elements were measured as a function of distance across each couple. Interdiffusion coefficients were derived from such concentration profiles using the standard Sauer-Freise method and compared with literature data as well as with published tracer diffusion coefficients. Although the background elements were homogeneously distributed initially, some of them developed distinct sine-wave shaped concentration gradients near the interfaces after annealing, implying that uphill diffusion of these elements had occurred. We show using a kinetic model for substitutional diffusion via vacancy hopping that such uphill diffusion can occur even in the absence of thermodynamic interactions, i.e. in ideal solid solutions in which the thermodynamic factor Φ of each element is equal to one ( Φ i = 1 + ln f i / ln c i where f i and c i are the activity coefficient and mole fraction of element i , respectively). The model accounts for all elemental fluxes and also rationalizes the diffusion profiles of the major interdiffusing elements.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE; International Max Planck Research School SurMat; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; German Research Foundation (DFG); Center for Interface-Dominated High Performance Materials (ZGH)
OSTI Identifier:
1769531
Alternate Identifier(s):
OSTI ID: 1616827
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Published Article
Journal Name:
Intermetallics
Additional Journal Information:
Journal Name: Intermetallics Journal Volume: 122 Journal Issue: C; Journal ID: ISSN 0966-9795
Publisher:
Elsevier
Country of Publication:
United Kingdom
Language:
English
Subject:
36 MATERIALS SCIENCE; Multicomponent diffusion; High-entropy alloys (HEAs); Uphill diffusion; Vacancies; Kinetics; Interdiffusion

Citation Formats

Durand, A., Peng, L., Laplanche, G., Morris, J. R., George, E. P., and Eggeler, G. Interdiffusion in Cr–Fe–Co–Ni medium-entropy alloys. United Kingdom: N. p., 2020. Web. doi:10.1016/j.intermet.2020.106789.
Durand, A., Peng, L., Laplanche, G., Morris, J. R., George, E. P., & Eggeler, G. Interdiffusion in Cr–Fe–Co–Ni medium-entropy alloys. United Kingdom. https://doi.org/10.1016/j.intermet.2020.106789
Durand, A., Peng, L., Laplanche, G., Morris, J. R., George, E. P., and Eggeler, G. Wed . "Interdiffusion in Cr–Fe–Co–Ni medium-entropy alloys". United Kingdom. https://doi.org/10.1016/j.intermet.2020.106789.
@article{osti_1769531,
title = {Interdiffusion in Cr–Fe–Co–Ni medium-entropy alloys},
author = {Durand, A. and Peng, L. and Laplanche, G. and Morris, J. R. and George, E. P. and Eggeler, G.},
abstractNote = {Diffusion in multi-component alloys is attracting renewed attention because of the worldwide interest in high- and medium-entropy alloys (HEAs/MEAs). In the present work, we used diffusion multiples made from MEAs of the quaternary Cr–Fe–Co–Ni system arranged as six distinct pseudo-binary diffusion couples (Cr29Fe13Co29Ni29–Cr29Fe29Co29Ni13, Cr29Fe29Co13Ni29–Cr29Fe29Co29Ni13, and so on, where the interdiffusing elements are italicized for clarity). In the two halves of each couple, the starting concentrations of the interdiffusing elements (Fe,Ni and Co,Ni in the above examples) were different while those of the background elements (Cr,Co and Cr,Fe in the above examples) were the same. The diffusion multiples were annealed at temperatures between 1153 and 1355 K at times from 100 to 900 h, after which the concentrations of the different elements were measured as a function of distance across each couple. Interdiffusion coefficients were derived from such concentration profiles using the standard Sauer-Freise method and compared with literature data as well as with published tracer diffusion coefficients. Although the background elements were homogeneously distributed initially, some of them developed distinct sine-wave shaped concentration gradients near the interfaces after annealing, implying that uphill diffusion of these elements had occurred. We show using a kinetic model for substitutional diffusion via vacancy hopping that such uphill diffusion can occur even in the absence of thermodynamic interactions, i.e. in ideal solid solutions in which the thermodynamic factor Φ of each element is equal to one (Φi=1+∂lnfi/∂lnci where fi and ci are the activity coefficient and mole fraction of element i, respectively). The model accounts for all elemental fluxes and also rationalizes the diffusion profiles of the major interdiffusing elements.},
doi = {10.1016/j.intermet.2020.106789},
journal = {Intermetallics},
number = C,
volume = 122,
place = {United Kingdom},
year = {Wed Jul 01 00:00:00 EDT 2020},
month = {Wed Jul 01 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.intermet.2020.106789

Citation Metrics:
Cited by: 29 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Bulk tracer diffusion in CoCrFeNi and CoCrFeMnNi high entropy alloys
journal, March 2018


Theories and Problems of Liquid Diffusion
journal, November 1945


Concentration-dependent atomic mobilities in FCC CoCrFeMnNi high-entropy alloys
journal, March 2019


Diffusion in Multicomponent Metallic Systems: i. Phenomenological Theory for Substitutional Solid Solution Alloys
journal, July 1958

  • Kirkaldy, J. S.
  • Canadian Journal of Physics, Vol. 36, Issue 7
  • DOI: 10.1139/p58-096

The Trouble with Diffusion
journal, September 2002


Zur Integration der Diffusionsgleichung bei variabeln Diffusionscoefficienten
journal, January 1894


Diffusion of Cobalt in Iron-Cobalt Alloys
journal, January 1972


V. On liquid diffusion
journal, July 1855

  • Fick, Adolph
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 10, Issue 63
  • DOI: 10.1080/14786445508641925

Self-diffusion in iron
journal, September 1963


An Exact Solution of the Equations for Free Diffusion in Three-component Systems with Interacting Flows, and its Use in Evaluation of the Diffusion Coefficients
journal, March 1956

  • Fujita, Hiroshi; Gosting, Louis J.
  • Journal of the American Chemical Society, Vol. 78, Issue 6
  • DOI: 10.1021/ja01587a006

Diffusion and the Kirkendall shift in binary alloys
journal, May 1967


Sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys
journal, August 2013


The Diffusion-Multiple Approach to Designing Alloys
journal, August 2005


Diffusion in Multicomponent Metallic Systems: vii. Solutions of the Multicomponent Diffusion Equations with Variable Coefficients
journal, December 1963

  • Kirkaldy, J. S.; Lane, J. E.; Mason, G. R.
  • Canadian Journal of Physics, Vol. 41, Issue 12
  • DOI: 10.1139/p63-212

Demystifying the sluggish diffusion effect in high entropy alloys
journal, April 2019


Ueber Diffusion
journal, January 1855


A self-consistent theory of matter transport in a random lattice gas and some simulation results
journal, January 1989


DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: VI. SOME THERMODYNAMIC PROPERTIES OF THE D MATRIX AND THE CORRESPONDING SOLUTIONS OF THE DIFFUSION EQUATIONS
journal, December 1963

  • Kirkaldy, J. S.; Weichert, D.; Haq, Zia-Ul-
  • Canadian Journal of Physics, Vol. 41, Issue 12
  • DOI: 10.1139/p63-211

Diffusion in Multicomponent Metallic Systems: Viii. a Kinetic Calculation of the Onsager l Coefficients in Substitutional Solid Solutions
journal, August 1964

  • Lane, J. E.; Kirkaldy, J. S.
  • Canadian Journal of Physics, Vol. 42, Issue 8
  • DOI: 10.1139/p64-149

High-Throughput Determination of Interdiffusion Coefficients for Co-Cr-Fe-Mn-Ni High-Entropy Alloys
journal, July 2017


Diffusion in FeNiCr alloys with an F.C.C. lattice
journal, June 1985


A high accuracy diffusion kinetics formalism for random multicomponent alloys: application to high entropy alloys
journal, August 2016


Diffusion in Cobalt‐Nickel Alloys
journal, October 1962

  • Hirano, Ken‐ichi; Agarwala, R. P.; Averbach, B. L.
  • Journal of Applied Physics, Vol. 33, Issue 10
  • DOI: 10.1063/1.1728564

Zero-flux planes and flux reversals in Cu−Ni−Zn diffusion couples
journal, September 1979

  • Dayananda, M. A.; Kim, C. W.
  • Metallurgical Transactions A, Vol. 10, Issue 9
  • DOI: 10.1007/BF02811989

Interdiffusion in the FCC-structured Al-Co-Cr-Fe-Ni high entropy alloys: Experimental studies and numerical simulations
journal, July 2016


A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple
journal, March 1999


Average effective interdiffusion coefficients and their applications for isothermal multicomponent diffusion couples
journal, September 1996


Understanding of the Elemental Diffusion Behavior in Concentrated Solid Solution Alloys
journal, July 2017

  • Zhang, Chuan; Zhang, Fan; Jin, Ke
  • Journal of Phase Equilibria and Diffusion, Vol. 38, Issue 4
  • DOI: 10.1007/s11669-017-0580-5

Experimental assessment of the thermodynamic factor for diffusion in CoCrFeNi and CoCrFeMnNi high entropy alloys
journal, December 2018


Assessment of the Mobilities of Cr, Fe and Ni in bcc Cr-Fe-Ni Alloys.
journal, January 1995


Intrinsic diffusion simulation for single-phase, multicomponent systems
journal, September 2005


Diffusion processes in the FeNi system
journal, September 1981


Self-diffusion in austenitic Fe-Cr-Ni alloys
journal, March 1980

  • Rothman, S. J.; Nowicki, L. J.; Murch, G. E.
  • Journal of Physics F: Metal Physics, Vol. 10, Issue 3
  • DOI: 10.1088/0305-4608/10/3/009

Diffusion in Multicomponent Metallic Systems
journal, April 1957

  • Kirkaldy, J. S.
  • Canadian Journal of Physics, Vol. 35, Issue 4
  • DOI: 10.1139/p57-047

Random alloy diffusion kinetics for the application to multicomponent alloy systems
journal, March 2016


Ni tracer diffusion in CoCrFeNi and CoCrFeMnNi high entropy alloys
journal, December 2016


On Interdiffusion in FeNiCoCrMn High Entropy Alloy
journal, July 2017

  • Verma, Vivek; Tripathi, Aparna; Kulkarni, Kaustubh N.
  • Journal of Phase Equilibria and Diffusion, Vol. 38, Issue 4
  • DOI: 10.1007/s11669-017-0579-y

A Critical Look at the Mechanisms of Self-Diffusion in Metals
journal, January 1997


Diffusion in Multicomponent Metallic Systems: ix. Intrinsic Diffusion Behavior and the Kirkendall Effect in Ternary Substitutional Solutions
journal, September 1966

  • Kirkaldy, J. S.; Lane, J. E.
  • Canadian Journal of Physics, Vol. 44, Issue 9
  • DOI: 10.1139/p66-169

Measurement of tracer diffusion coefficients in an interdiffusion context for multicomponent alloys
journal, August 2015


Self-Diffusion and Isotope Effect in Face-Centred Cubic Cobalt
journal, January 1993