Ab initio simulations of clustering and precipitation in Al–Mg–Si alloys

A class of proposed coherent precipitate structures (Guinier-Preston zones) in the Al-Mg-Si alloy are investigated using first-prin- ciples density functional theory methods. The cluster expansion method is used to extract effective interaction parameters, providing the means for large scale energy calculations of alloy structures. The Mg1Si1 L1(0) structure and structures related to the Mg5Si6 beta '' phase are studied in more detail, and e.g., precipitate/matrix interface energies are presented. Using direct first-principles calculations we show that the former phase is dynamically unstable and thus must be stabilized by the surrounding Al matrix. Monte Carlo simulations and free-energy techniques are used to study the Al rich side of the phase diagram with the current CE parameters, and kinetic Monte Carlo simulations are used to study clustering in the disordered phase. The implications of our findings are discussed in the framework of classical nucleation theories, and we outline possible nucleation mechanisms. (C) 2007 Elsevier B.V. All rights reserved.

[1]  Chris Wolverton,et al.  First-principles study of crystal structure and stability of Al-Mg-Si-(Cu) precipitates , 2004 .

[2]  K. Persson,et al.  Phase diagram and lattice instability in tungsten-rhenium alloys , 2000 .

[3]  Tanaka,et al.  Erratum : Classification and structure analyses of domain boundaries on Si(111) , 1993, Physical review. B, Condensed matter.

[4]  P. Derlet,et al.  A first-principles study of the β''-phase in Al-Mg-Si alloys , 2002 .

[5]  H. Zandbergen,et al.  The influence of alloy composition on precipitates of the Al−Mg−Si system , 2005 .

[6]  Ceder,et al.  Ground states of a ternary fcc lattice model with nearest- and next-nearest-neighbor interactions. , 1994, Physical review. B, Condensed matter.

[7]  K. Matsuda,et al.  High-resolution electron microscopy on the structure of Guinier-Preston zones in an Al-1.6 mass Pct Mg2Si alloy , 1998 .

[8]  J. Christian,et al.  The theory of transformations in metals and alloys , 2003 .

[9]  F. Birch Finite Elastic Strain of Cubic Crystals , 1947 .

[10]  J. Connolly,et al.  Density-functional theory applied to phase transformations in transition-metal alloys , 1983 .

[11]  Alfred Cerezo,et al.  Kinetic Monte Carlo simulation of clustering in an Al-Zn-Mg-Cu alloy (7050) , 2005 .

[12]  G. Kresse,et al.  Ab initio molecular dynamics for liquid metals. , 1993 .

[13]  H. W. Zandbergen,et al.  Atomic model for GP-zones in a 6082 Al–Mg–Si system , 2001 .

[14]  G. A. Edwards,et al.  The precipitation sequence in Al–Mg–Si alloys , 1998 .

[15]  C. Wolverton,et al.  Multiscale modeling of precipitate microstructure evolution. , 2002, Physical review letters.

[16]  G. Grimvall,et al.  Lattice dynamics and thermodynamic properties of the β -Sn phase in Si , 2000 .

[17]  F. Ducastelle,et al.  Generalized cluster description of multicomponent systems , 1984 .

[18]  D. Vanderbilt,et al.  Soft self-consistent pseudopotentials in a generalized eigenvalue formalism. , 1990, Physical review. B, Condensed matter.

[19]  J. Hatch,et al.  Aluminum: Properties and Physical Metallurgy , 1984 .

[20]  V. Ozoliņš,et al.  Large vibrational effects upon calculated phase boundaries in Al-Sc. , 2001, Physical review letters.

[21]  Hafner,et al.  Ab initio molecular-dynamics simulation of the liquid-metal-amorphous-semiconductor transition in germanium. , 1994, Physical review. B, Condensed matter.

[22]  V. Ozoliņš,et al.  Effects of vibrational entropy on the Al–Si phase diagram , 2005 .

[23]  Ferreira,et al.  Efficient cluster expansion for substitutional systems. , 1992, Physical review. B, Condensed matter.

[24]  Georg Kresse,et al.  Norm-conserving and ultrasoft pseudopotentials for first-row and transition elements , 1994 .

[25]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[26]  Jackson,et al.  Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation. , 1992, Physical review. B, Condensed matter.

[27]  M. V. van Huis,et al.  Atomic Pillar-Based Nanoprecipitates Strengthen AlMgSi Alloys , 2006, Science.

[28]  Kresse,et al.  Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. , 1996, Physical review. B, Condensed matter.

[29]  H. W. Zandbergen,et al.  Structure Determination of Mg5Si6 Particles in Al by Dynamic Electron Diffraction Studies , 1997 .

[30]  A. van de Walle,et al.  Automating First-Principles Phase Diagram Calculations , 2002 .

[31]  H. Stanley,et al.  Phase Transitions and Critical Phenomena , 2008 .

[32]  G. Martin,et al.  Monte Carlo simulations of the decomposition of metastable solid solutions: Transient and steady-state nucleation kinetics , 2000 .