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The structure and migration of twin boundaries in tetragonal β-Sn: An application of machine learning based interatomic potentials

Journal Article · · Acta Materialia
 [1];  [1];  [2];  [3];  [3];  [4];  [1];  [1];  [1];  [1]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
  2. Univ. of California, Irvine, CA (United States)
  3. Univ. of Illinois at Urbana-Champaign, IL (United States)
  4. Iowa State Univ., Ames, IA (United States)
Although atomistic simulations have contributed significantly to our understanding of twin boundary structure and migration in metals and alloys with hexagonal close packed (HCP) crystal structures, few direct atomistic studies of twinning have been conducted for other types of low symmetry materials, in large part due to a lack of reliable interatomic potentials. In this work, we examine twin boundary structure and migration in a tetragonal material, β-Sn, comparing high resolution Transmission Electron Microscopy (TEM) images of deformation twins in β-Sn to the results of direct atomistic simulations using multiple interatomic potentials. ML-based potentials developed in this work are found to give results consistent with our experimental data, revealing faceted twin boundary structures formed by the nucleation and motion of twinning disconnections. We use bicrystallographic methods in combination with atomistic simulations to analyze the structure, energy and shear coupled migration of observed twin facets in β-Sn. In analogy to Prismatic-Basal (PB/BP) interfaces in HCP metals, we discover low energy asymmetric Prismatic-A-plane (PA/AP) interfaces important to twin growth in β-Sn. Finally, a Moment Tensor Potential (MTP) and Rapid Artificial Neural Network (RANN) interatomic potential suitable for studying twinning and phase transformations in Sn are made publicly available as part of this work.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2584689
Report Number(s):
LA-UR--25-24558; 10.1016/j.actamat.2025.121390
Journal Information:
Acta Materialia, Journal Name: Acta Materialia Vol. 299; ISSN 1359-6454
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (61)

Ab-initio simulations of materials using VASP: Density-functional theory and beyond journal October 2008
Deformation behavior of tin and some tin alloys journal October 2006
Measurements of the grain boundary energy and anisotropy in tin journal August 2005
Beta-Tin Grain Formation in Aluminum-Modified Lead-Free Solder Alloys journal October 2017
Whisker Growth in Sn Coatings: A Review of Current Status and Future Prospects journal September 2020
The orientation imaging microscopy of lead-free Sn-Ag solder joints journal June 2005
An interferometric study of grain boundary grooves in tin journal September 1955
The growth of twins in tin single crystals as observed by transmission electron microscopy journal December 1960
Direct observation of twinning in tin lamellae journal August 1970
Coupling grain boundary motion to shear deformation journal November 2006
Survey of computed grain boundary properties in face-centered cubic metals: I. Grain boundary energy journal August 2009
Detwinning mechanisms for growth twins in face-centered cubic metals journal April 2010
Cryogenic in situ microcompression testing of Sn journal October 2014
Why are { 10 1 ¯ 2 } twins profuse in magnesium? journal February 2015
Microscale deformation behavior of bicrystal boundaries in pure tin (Sn) using micropillar compression journal November 2016
Grain boundary mediated plasticity: On the evaluation of grain boundary migration - shear coupling journal July 2018
Formation and stability of long basal-prismatic facets in Mg journal February 2020
The effects of stress, temperature and facet structure on growth of { 10 1 ¯ 2 } twins in Mg: A molecular dynamics and phase field study journal April 2021
Optimal transportation of grain boundaries: A forward model for predicting migration mechanisms journal May 2021
Machine-learning interatomic potentials for materials science journal August 2021
Machine learning models for predictive materials science from fundamental physics: An application to titanium and zirconium journal February 2022
Interface dislocations and grain boundary disconnections using Smith normal bicrystallography journal November 2022
An atomistic survey of shear coupling in asymmetric tilt grain boundaries and interpretation using the disconnections framework journal August 2024
Atomistic-informed phase field modeling of magnesium twin growth by disconnections journal January 2025
LAMMPS implementation of rapid artificial neural network derived interatomic potentials journal August 2021
Effect of twin grain boundary on the diffusion of Cu in bulk β-Sn journal June 2023
Electrodeposition current density induced texture and grain boundary engineering in Sn coatings for enhanced corrosion resistance journal January 2022
LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales journal February 2022
Microstructure characterization and elastic-plastic self-consistent simulation studies of anisotropic deformation of β-tin journal September 2023
Twin-solute, twin-dislocation and twin-twin interactions in magnesium journal October 2023
A relaxation method for the energy and morphology of grain boundaries and interfaces journal September 2016
An analytical model of interfacial energy based on a lattice-matching interatomic energy journal April 2016
Spontaneous whisker growth on lead-free solder finishes journal November 2005
Disconnections and other defects associated with twin interfaces journal October 2016
Grain-boundary kinetics: A unified approach journal October 2018
On the importance of prismatic/basal interfaces in the growth of twins in hexagonal close packed crystals journal June 2013
A surprising proliferation of detwinning in β-tin at extreme loading rates journal July 2025
Performance and Cost Assessment of Machine Learning Interatomic Potentials journal October 2019
The Cry of Tin journal April 1932
Predicting phase behavior of grain boundaries with evolutionary search and machine learning journal February 2018
Three-dimensional character of the deformation twin in magnesium journal July 2019
Grand canonically optimized grain boundary phases in hexagonal close-packed titanium journal August 2024
A model of Sn whisker growth by coupled plastic flow and grain boundary diffusion journal May 2009
Calibration and validation of the foundation for a multiphase strength model for tin journal June 2024
Interface structures and twinning mechanisms of twins in hexagonal metals journal June 2017
Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool journal December 2009
Atomic structures of symmetric tilt grain boundaries in hexagonal close packed (hcp) crystals journal February 2012
Robust structural identification via polyhedral template matching journal May 2016
EAM potential for magnesium from quantum mechanical forces journal May 1996
Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals journal June 1984
Modified embedded-atom potentials for cubic materials and impurities journal August 1992
Structural stability and lattice defects in copper: Ab initio , tight-binding, and embedded-atom calculations journal May 2001
Role of the mesoscale in migration kinetics of flat grain boundaries journal June 2014
Semiempirical, Quantum Mechanical Calculation of Hydrogen Embrittlement in Metals journal April 1983
Generalized Gradient Approximation Made Simple journal October 1996
Determination of all misorientations of tetragonal lattices with low multiplicity; connection with Mallard's rule of twinning journal June 2003
Twinning by reticular pseudo-merohedry in trigonal, tetragonal and hexagonal crystals journal April 2004
Moment Tensor Potentials: A Class of Systematically Improvable Interatomic Potentials journal January 2016
Growth Twins and Deformation Twins in Metals journal July 2014
Grain Boundary Migration in Polycrystals journal July 2023
Atomistic Simulations of Pure Tin Based on a New Modified Embedded-Atom Method Interatomic Potential journal November 2018

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