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

Title: A comprehensive first-principles study of solute elements in dilute Ni alloys: Diffusion coefficients and their implications to tailor creep rate

Journal Article · · Acta Materialia
ORCiD logo [1]; ORCiD logo [2];  [2]
  1. Pennsylvania State Univ., University Park, PA (United States); New Mexico Institute of Mining and Technology, Socorro, NM (United States)
  2. Pennsylvania State Univ., University Park, PA (United States)

Diffusion regulates a vast number of materials properties and phenomena such as creep, the focus of the present work. However, a deep understanding of the effect of how each alloying element in a Ni-base superalloy affects properties such as diffusion and creep is far from complete. Here, in this study, we report temperature-dependent dilute solute diffusion coefficients and their implications to tailor the creep rate for 26 transition metal solute elements, X's, in fcc Ni using first-principles calculations. Calculations are performed using the five-frequency model for dilute solute diffusion and the nudged elastic band method within the local density approximation. Thermodynamic properties at finite temperatures for all configurations are calculated using the quasi-harmonic Debye model. In general, the fastest diffusing solute elements in Ni are found at the left side of the periodic table and the slowest diffusing solute elements are found in group VIIB. In particular, the present work indicates that the diffusivity of the dilute solute elements is correlated to the compressibility of each solute element on the respective Ni31X supercell, and not as strongly to the ionic radius of the solute elements, as previously suggested. Finally, results from the diffusivity study are combined with the previous results of elastic constants and stacking fault energies, and hence, a relative creep rate ratio for these 26 solute elements is modeled. It is shown that in most cases, slower diffusing solute elements provide the most creep resistance. This is true even at higher temperatures, due mainly to the solute's strong bonding with Ni atoms in the host lattice.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); US Department of the Navy, Office of Naval Research (ONR); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC); USDOE
Grant/Contract Number:
AC02-05CH11231; N0014-07-1-0638; N00014-17-1-2567; ACI-1053575; 51429101
OSTI ID:
1543504
Alternate ID(s):
OSTI ID: 1702953
Journal Information:
Acta Materialia, Vol. 157, Issue C; ISSN 1359-6454
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

References (74)

First-principles thermodynamics from phonon and Debye model: Application to Ni and Ni3Al journal February 2010
Projector augmented-wave method journal December 1994
Solute Diffusion in Metals: Larger Atoms Can Move Faster journal February 2004
A study of Re and Al diffusion in Ni journal July 2009
Evolution of Ni-based superalloys for single crystal gas turbine blade applications journal December 1999
Solute–vacancy binding in aluminum journal October 2007
Ab initio-based diffusion theory and tracer diffusion in Ni–Cr and Ni–Fe alloys journal October 2010
Interdiffusion in α-Solid Solution of the Ni-Zn System journal January 1979
Effects of alloying elements on thermal expansions of γ-Ni and γ′-Ni3Al by first-principles calculations journal February 2012
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Finite Elastic Strain of Cubic Crystals journal June 1947
First-principles study of 4d solute diffusion in nickel journal March 2014
Calculated thermal properties of metals journal January 1988
Including stacking fault energy into the resisting stress model for creep of particle strengthened alloys journal May 1982
Correlation Factors for Impurity Diffusion. bcc, Diamond, and fcc Structures journal December 1964
Interdiffusion of the platinum-group metals in nickel at elevated temperatures journal June 2003
Self-diffusion of the components in the F.C.C. phase of binary solid solutions of the FeNiCr system journal September 1981
Application of Atomic Absorption Analysis to Impurity Diffusion of Copper in Nickel in a Wide Range of Temperature journal January 1984
A comprehensive first-principles study of pure elements: Vacancy formation and migration energies and self-diffusion coefficients journal May 2016
Thermodynamic properties of Al, Ni, NiAl, and Ni3Al from first-principles calculations journal May 2004
Influence of stacking-fault energy on high temperature creep of alpha titanium alloys journal June 2006
Friction stress measurements during creep of Nimonic 105 journal May 1979
A first-principles study of the diffusion coefficients of alloying elements in dilute α-Ti alloys journal January 2016
A climbing image nudged elastic band method for finding saddle points and minimum energy paths journal December 2000
Anomalous energy pathway of vacancy migration and self-diffusion in hcp Ti journal June 2011
High-precision sampling for Brillouin-zone integration in metals journal August 1989
Diffusion rates of 3d transition metal solutes in nickel by first-principles calculations journal May 2005
First-principles calculations of impurity diffusion coefficients in dilute Mg alloys using the 8-frequency model journal May 2011
Frequency factors and isotope effects in solid state rate processes journal January 1957
Automatic numerical evaluation of vacancy-mediated transport for arbitrary crystals: Onsager coefficients in the dilute limit using a Green function approach journal June 2017
Diffusion of vanadium in aluminium and nickel journal January 1968
A first-principles approach to transition states of diffusion journal July 2012
LIII. Correlation effects in diffusion in crystals journal June 1956
Interdiffusion and its size effect in nickel solid solutions of Ni-Co, Ni-Cr and Ni-Ti systems journal January 1992
First-principles study of self-diffusion in hcp Mg and Zn journal December 2010
Solute diffusion in dilute alloys journal February 1978
The stress/creep rate behaviour of precipitation-hardened alloys journal January 1976
Effects of alloying elements and temperature on the elastic properties of dilute Ni-base superalloys from first-principles calculations journal September 2012
Volumenselbstdiffusion in Kobalt - Nickel - Legierungen journal January 1965
Predicting Diffusion Coefficients from First Principles via Eyring’s Reaction Rate Theory journal December 2009
The high-temperature creep behavior of nickel-rich Ni-W solid solutions journal April 1972
High-throughput ab-initio dilute solute diffusion database journal July 2016
Solute effects in diffusion journal January 1975
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Diffusion of Co, Ru and Re in Ni-based superalloys: A first-principles study journal March 2014
Diffusion of Ni63 and W185 in Nickel-Tungsten Alloys (On the Relation between High-Temperature Creep and Diffusion in Nickel Base Solid Solutions. III) [Ni-W合金中のNi63およびW185の拡散] journal January 1964
Diffusion of Ni63 and Cu64 in Nickel-Copper Alloys (On the Relation between High-Temperature Creep and Diffusion in Nickel Base Solid Solutions. II) journal January 1964
First-Principles Calculation of Self-Diffusion Coefficients journal May 2008
First-principles calculations for point defects in solids journal March 2014
Interdiffusion in the face-centred cubic phase of the Ni–Re, Ni–Ta and Ni–W systems between 900 and 1300°C journal April 2000
Diffusion du fer, du nickel et du cobalt dans les metaux de transition du groupe du fer journal February 1969
CXXXIII. Impurity diffusion in crystals (mainly ionic crystals with the sodium chloride structure) journal November 1955
Diffusion in Cobalt‐Nickel Alloys journal October 1962
Ab-initio based modeling of diffusion in dilute bcc Fe–Ni and Fe–Cr alloys and implications for radiation induced segregation journal April 2011
Understanding slow-growing alumina scale mediated by reactive elements: Perspective via local metal-oxygen bonding strength journal June 2018
Diffusion of Copper in Nickel Single Crystals journal July 1970
The Activated Complex in Chemical Reactions journal February 1935
Diffusion coefficients of alloying elements in dilute Mg alloys: A comprehensive first-principles study journal January 2016
A Curvature in the Arrhenius Plot for the Diffusion of Iron in Single Crystals of Nickel in the Temperature Range from 1200 to 1400°C journal June 1971
A computational study of impurity diffusivities for 5d transition metal solutes in α-Fe journal October 2012
Diffusion coefficients of transition metals in fcc cobalt journal June 2017
Ground State of the Electron Gas by a Stochastic Method journal August 1980
Diffusion of Aluminum, Magnesium, Silicon, and Zirconium in Nickel journal September 1959
Quantification of High Temperature Strength of Nickel-Based Superalloys journal May 2007
Effects of alloying element and temperature on the stacking fault energies of dilute Ni-base superalloys journal November 2012
Diffusion of Ni63 and Cr51 in Nickel-Chromium Alloys (On the Relation between High-Temperature Creep and Diffusion in Nickel Base Solid Solutions. I) [Ni-Cr合金中のNi63およびCr51の拡散] journal January 1964
Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points journal December 2000
Calculation of impurity diffusivities in α-Fe using first-principles methods journal April 2010
Impurity diffusion of Al in Ni single crystals studied by secondary ion mass spectrometry (SIMS) journal March 1981
A first-principles study of self-diffusion coefficients of fcc Ni journal April 2014
Diffusion of Copper in Nickel and Aluminum journal December 1965
Exact Model of Vacancy-Mediated Solute Transport in Magnesium journal March 2017
Improved tetrahedron method for Brillouin-zone integrations journal June 1994
First principles impurity diffusion coefficients journal August 2009