A Correlative Four-Dimensional Study of Phase Separation at the Subnanoscale to Nanoscale of a Ni-Al Alloy

TL;DR

This study combines 3D atom-probe tomography and Monte Carlo simulations to analyze phase separation in a Ni-Al alloy, providing detailed insights into precipitate evolution, interfacial properties, and diffusion mechanisms over extensive aging times.

Contribution

It offers a comprehensive correlative analysis of experimental and simulation data on Ni-Al alloy phase separation, including new measurements of interfacial width and validation of diffusion models.

Findings

Good agreement between 3D APT data and LKMC simulations.

Interfacial width decreases with aging time, contrary to classical models.

Calculated interfacial free energy and diffusivity align with existing data.

Abstract

The temporal evolution of ordered gamma prime (L12)-precipitates precipitating in a disordered gamma(f.c.c.) matrix is studied in extensive detail for a Ni-12.5 Al at.% alloy aged at 823 K (550 oC), for times ranging from 0.08 to 4096 h. Three-dimensional atom-probe tomography (3-D APT) results are compared to monovacancy-mediated lattice-kinetic Monte Carlo (LKMC1) simulations, which include monovacancy-solute binding energies through 4th nearest-neighbor distances, for the same mean composition and aging temperature. The temporal evolution of the measured values of the mean radius, <R(t)>, number density, aluminum supersaturations, and volume fraction of the gamma prime(L12)-precipitates are compared to the predictions of a modified version of the Lifshitz-Slyozov-Wagner coarsening model due to Calderon, Voorhees et al. The resulting experimental rate constants are used to calculate the Gibbs interfacial free-energy between the gamma(f.c.c.)- and gamma prime(L12)-phases using data from two thermodynamic databases, and its value is compared to all extant values dating from 1966. The diffusion coefficient for coarsening is calculated utilizing the same rate constants and compared to all extant archival diffusivities, not determined from coarsening experiments, and is demonstrated to be the inter-diffusivity, , of Ni and Al. The monovacancy-mediated LKMC1 simulation results are in good agreement with our 3-D APT data. It is demonstrated that the compositional interfacial width, for the {100} interface, between the gamma(f.c.c.)- and gamma prime (L12)-phases, decreases continuously with increasing aging time and <R(t)>, for the 3-D APT results and monovacancy-mediated LKMC1 simulations, in disagreement with an ansatz intrinsic to the trans-interface diffusion-controlled coarsening model, which predicts the opposite trend for binary alloys.