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

Title: Energetics of native defects, solute partitioning, and interfacial energy of Q precipitate in Al-Cu-Mg-Si alloys

Abstract

The compound Al3Cu2Mg9Si7, is known as the Q-phase and forms as a thermodynamically stable precipitate during aging in the quaternary Al-Cu-Mg-Si system. We perform atomic-scale density functional theory (DFT) calculations of defect properties, solute partitioning, and interfacial stability of the Al3Cu2Mg9Si7 (Q) precipitate. We find: (i) simple native point defect (i.e., vacancies and anti-sites) thermodynamics can partially explain the experimentally observed off-stoichiometry, such as the observed variation of compositions, Al3+δCu2Mg9-δSi7 (Mg-deficient and Al-rich) in experiment. (ii) Calculated solute-partitioning energies of common solutes allow us to define general rules for site-preference in the Q-phase in terms of electronic structure and atomic radius. To validate our DFT predictions, we perform atom-probe tomography (APT) experiments for six-different elements (Zn, Ni, Mn, Ti, V, and Zr). The results show that the partitioning behavior of solutes Ni, Zn, and Mn are consistent with DFT predictions, but the transition elements (Ti, V, and Zr), which are anomalously slow diffusers in Al, partition to the Q-phase in constrast to DFT partitioning energies. (iii) For the low energy interface ($$11\bar{2}$$)Q//(510)Al observed in needle shaped Q-precipitate, we survey various terminations and orientations and derive a low-energy interfacial structure. Here we find this low-energy interfacial model has Cu atoms nearest to the interface, which is in agreement with previous literature on Cu interfacial segregation at the Q'//α-Al interface. The computed interfacial energy (0.52 J/m2) and the corresponding structure will be useful input to future multi-scale modeling of microstructural evolution.

Authors:
 [1];  [2];  [1]; ORCiD logo [1];  [3];  [1];  [1]
  1. Northwestern University, Evanston, IL (United States)
  2. Northwestern University, Evanston, IL (United States); General Motors, Warren Technical Center, Warren, MI (United States)
  3. General Motors, Warren Technical Center, Warren, MI (United States)
Publication Date:
Research Org.:
General Motors LLC, Detroit, MI (United States); Northwestern Univ., Evanston, IL (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE); Beijing International Aeronautical Materials Corp. (BIAM); National Institute of Science and Technology (NIST); USDOE Office of Science (SC); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)
OSTI Identifier:
1537911
Alternate Identifier(s):
OSTI ID: 1548235
Grant/Contract Number:  
EE0006082; AC02-05CH11231; 70NANB14H012; DMR 0420532; N00014-0400798; N00014-0610539
Resource Type:
Accepted Manuscript
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 154; Journal Issue: C; Journal ID: ISSN 1359-6454
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; first-principles calculation; density functional theory; DFT; atom-probe tomography; APT; aluminum alloys; Q-phase precipitates

Citation Formats

Kim, Kyoungdoc, Bobel, Andrew, Brajuskovic, Vuk, Zhou, Bi-Cheng, Walker, Mike, Olson, G. B., and Wolverton, C. Energetics of native defects, solute partitioning, and interfacial energy of Q precipitate in Al-Cu-Mg-Si alloys. United States: N. p., 2018. Web. doi:10.1016/j.actamat.2018.05.031.
Kim, Kyoungdoc, Bobel, Andrew, Brajuskovic, Vuk, Zhou, Bi-Cheng, Walker, Mike, Olson, G. B., & Wolverton, C. Energetics of native defects, solute partitioning, and interfacial energy of Q precipitate in Al-Cu-Mg-Si alloys. United States. https://doi.org/10.1016/j.actamat.2018.05.031
Kim, Kyoungdoc, Bobel, Andrew, Brajuskovic, Vuk, Zhou, Bi-Cheng, Walker, Mike, Olson, G. B., and Wolverton, C. Tue . "Energetics of native defects, solute partitioning, and interfacial energy of Q precipitate in Al-Cu-Mg-Si alloys". United States. https://doi.org/10.1016/j.actamat.2018.05.031. https://www.osti.gov/servlets/purl/1537911.
@article{osti_1537911,
title = {Energetics of native defects, solute partitioning, and interfacial energy of Q precipitate in Al-Cu-Mg-Si alloys},
author = {Kim, Kyoungdoc and Bobel, Andrew and Brajuskovic, Vuk and Zhou, Bi-Cheng and Walker, Mike and Olson, G. B. and Wolverton, C.},
abstractNote = {The compound Al3Cu2Mg9Si7, is known as the Q-phase and forms as a thermodynamically stable precipitate during aging in the quaternary Al-Cu-Mg-Si system. We perform atomic-scale density functional theory (DFT) calculations of defect properties, solute partitioning, and interfacial stability of the Al3Cu2Mg9Si7 (Q) precipitate. We find: (i) simple native point defect (i.e., vacancies and anti-sites) thermodynamics can partially explain the experimentally observed off-stoichiometry, such as the observed variation of compositions, Al3+δCu2Mg9-δSi7 (Mg-deficient and Al-rich) in experiment. (ii) Calculated solute-partitioning energies of common solutes allow us to define general rules for site-preference in the Q-phase in terms of electronic structure and atomic radius. To validate our DFT predictions, we perform atom-probe tomography (APT) experiments for six-different elements (Zn, Ni, Mn, Ti, V, and Zr). The results show that the partitioning behavior of solutes Ni, Zn, and Mn are consistent with DFT predictions, but the transition elements (Ti, V, and Zr), which are anomalously slow diffusers in Al, partition to the Q-phase in constrast to DFT partitioning energies. (iii) For the low energy interface ($11\bar{2}$)Q//(510)Al observed in needle shaped Q-precipitate, we survey various terminations and orientations and derive a low-energy interfacial structure. Here we find this low-energy interfacial model has Cu atoms nearest to the interface, which is in agreement with previous literature on Cu interfacial segregation at the Q'//α-Al interface. The computed interfacial energy (0.52 J/m2) and the corresponding structure will be useful input to future multi-scale modeling of microstructural evolution.},
doi = {10.1016/j.actamat.2018.05.031},
journal = {Acta Materialia},
number = C,
volume = 154,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2018},
month = {Tue May 15 00:00:00 EDT 2018}
}

Journal Article:

Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Thermodynamic modeling of the quaternary Al-Cu-Mg-Si system
journal, June 2017


First-principles phase stability, magnetic properties and solubility in aluminum–rare-earth (Al–RE) alloys and compounds
journal, May 2011


The Influence of Tungsten on the Chemical Composition of a Temporally Evolving Nanostructure of a Model Ni-Al-Cr Superalloy
journal, June 2004

  • Sudbrack, Chantal K.; Isheim, Dieter; Noebe, Ronald D.
  • Microscopy and Microanalysis, Vol. 10, Issue 3
  • DOI: 10.1017/S1431927604040589

Lattice parameter and hardness variations resulting from precipitation and misfit accommodation in a particle-reinforced AlSiCuMg alloy
journal, May 1993

  • Starink, M. J.; Abeels, V. M. F.; van Mourik, P.
  • Materials Science and Engineering: A, Vol. 163, Issue 1
  • DOI: 10.1016/0921-5093(93)90585-3

Virtual aluminum castings: An industrial application of ICME
journal, November 2006


First-principles study of crystal structure and stability of T1 precipitates in Al-Li-Cu alloys
journal, February 2018


Transmission electron microscopy study of a precipitate which forms in the Al-Mg-Si system
journal, August 1996

  • Sagalowicz, L.; Lapasset, G.; Hug, G.
  • Philosophical Magazine Letters, Vol. 74, Issue 2
  • DOI: 10.1080/095008396180407

Contribution of first-principles energetics to Al–Mg thermodynamic modeling
journal, December 2005


Energetics of antiphase boundaries in γ′ Co3(Al,W)-based superalloys
journal, January 2016


Assessment of the aluminum-rich corner of the Al–Cu–Mg–(Ag) phase diagram
journal, June 2008


Composition of β″ precipitates in Al–Mg–Si alloys by atom probe tomography and first principles calculations
journal, December 2009

  • Hasting, Håkon S.; Frøseth, Anders G.; Andersen, Sigmund J.
  • Journal of Applied Physics, Vol. 106, Issue 12
  • DOI: 10.1063/1.3269714

Simultaneous Segregation at Coherent and Semicoherent Heterophase Interfaces
journal, August 2010


Solute–vacancy binding of the rare earths in magnesium from first principles
journal, August 2012


From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


First-principles growth kinetics and morphological evolution of Cu nanoscale particles in Al
journal, May 2005


First-principles theory of 250 000-atom coherent alloy microstructure
journal, May 2000

  • Wolverton, C.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 8, Issue 3
  • DOI: 10.1088/0965-0393/8/3/312

Thermodynamic modeling of the Cu–Si system
journal, September 2008


Cu-segregation at the Q′/α-Al interface in Al–Mg–Si–Cu alloy
journal, December 2002


Dispersion strengthened AlFeVSi alloys
journal, June 1986


Precipitation in aluminum alloys AA6111 and AA6016
journal, August 1999


First-principles aluminum database: Energetics of binary Al alloys and compounds
journal, April 2006


Diffusion of zirconium in aluminum
journal, January 1973

  • Marumo, Terumi; Fujikawa, Shinichiro; Hirano, Ken-ichi
  • Journal of Japan Institute of Light Metals, Vol. 23, Issue 1
  • DOI: 10.2464/jilm.23.17

Local Electrode Atom Probes
journal, January 2000


Nuclear-Magnetic-Resonance Study of Self-Diffusion in Aluminium
journal, January 1987


Solidifying incongruently melting intermetallic phases as bulk single phases using the example of Al2Cu and Q-phase in the Al–Mg–Cu–Si system
journal, February 2012


First-principles density functional calculations for Mg alloys: A tool to aid in alloy development
journal, October 2010


Entropically Favored Ordering: The Metallurgy of Al 2 Cu Revisited
journal, June 2001


Quaternary Al-Cu-Mg-Si Q Phase: Sample Preparation, Heat Capacity Measurement and First-Principles Calculations
journal, November 2015

  • Löffler, Andrea; Zendegani, Ali; Gröbner, Joachim
  • Journal of Phase Equilibria and Diffusion, Vol. 37, Issue 2
  • DOI: 10.1007/s11669-015-0426-y

Thermodynamic assessment of the Al–Cu–Zn system, part I: Cu–Zn binary system
journal, December 2015


A thermodynamic assessment of the CuMgNi ternary system
journal, March 2002


Coherent phase stability in Al-Zn and Al-Cu fcc alloys: The role of the instability of fcc Zn
journal, December 1999


The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies
journal, December 2015


Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996


Formation of a modified β′ phase in aluminum alloy 6061
journal, December 1984


Analysis of Three-dimensional Atom-probe Data by the Proximity Histogram
journal, September 2000

  • Hellman, Olof C.; Vandenbroucke, Justin A.; Rüsing, Järg
  • Microscopy and Microanalysis, Vol. 6, Issue 05
  • DOI: 10.1007/S100050010051

First-principles study of solute–vacancy binding in magnesium
journal, January 2010


Observations of precipitation in a particle-reinforced AllCulMg alloy with 20% silicon
journal, August 1995


Incorporating first-principles energetics in computational thermodynamics approaches
journal, May 2002


Phase relations and precipitation in Al–Mg–Si alloys with Cu additions
journal, January 2004


Formation of multiple orientation relationships of Q precipitates in Al–Mg–Si–Cu alloys
journal, October 2014


The Crystal Structure of Al(x)Cu2Mg(12-x)Si7, (h-AlCuMgSi).
journal, January 1980


First-principles/Phase-field modeling of θ′ precipitation in Al-Cu alloys
journal, November 2017


On the many advantages of local-electrode atom probes
journal, January 1996


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Multiscale modeling of θ′ precipitation in Al–Cu binary alloys
journal, June 2004


Thermodynamic stability of Mg-based ternary long-period stacking ordered structures
journal, April 2014


Criteria for developing castable, creep-resistant aluminum-based alloys – A review
journal, March 2006

  • Knipling, Keith E.; Dunand, David C.; Seidman, David N.
  • Zeitschrift für Metallkunde, Vol. 97, Issue 3
  • DOI: 10.3139/146.101249

Equilibrium composition variation of Q-phase precipitates in aluminum alloys
journal, October 2017


Impurity Diffusion in Aluminum
journal, April 1970


Determination of diffusion coefficients of Zn, Co and Ni in aluminium by a resistometric method
journal, November 1978


Materials Design and Discovery with High-Throughput Density Functional Theory: The Open Quantum Materials Database (OQMD)
journal, September 2013


Comparison of thermodynamic databases for 3xx and 6xxx aluminum alloys
journal, August 2005


Role of Al2O3 particulate reinforcements on precipitation in 2014 Al-matrix composites
journal, August 1994

  • Dutta, I.; Harper, C. P.; Dutta, G.
  • Metallurgical and Materials Transactions A, Vol. 25, Issue 8
  • DOI: 10.1007/BF02668525

Study of precipitation in Al–Mg–Si Alloys by atom probe tomography II. Influence of Cu additions
journal, December 2015


First-principles study of the nucleation and stability of ordered precipitates in ternary Al–Sc–Li alloys
journal, May 2011


Thermodynamic stability of Mg–Y–Zn long-period stacking ordered structures
journal, November 2012


Compositional evolution of Q-phase precipitates in an aluminum alloy
journal, August 2014


Physical factors controlling the observed high-strength precipitate morphology in Mg–rare earth alloys
journal, February 2014


The precipitation of the Q phase in an AA6111 Alloy
journal, February 2001

  • Weatherly, G. C.; Perovic, A.; Perovic, D. D.
  • Metallurgical and Materials Transactions A, Vol. 32, Issue 2
  • DOI: 10.1007/s11661-001-0251-2

Silver segregation to θ′ (Al2Cu)–Al interfaces in Al–Cu–Ag alloys
journal, October 2012