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Reshaping, Intermixing, and Coarsening for Metallic Nanocrystals: Nonequilibrium Statistical Mechanical and Coarse-Grained Modeling

Journal Article · · Chemical Reviews
Self-assembly of supported 2D or 3D nanocrystals (NCs) by vacuum deposition and of 3D NCs by solution-phase synthesis (with possible subsequent transfer to a support) produces intrinsically nonequilibrium systems. Individual NCs can have far-from-equilibrium shapes and composition profiles. The free energy of NC ensembles is lowered by coarsening which can involve Ostwald ripening or Smoluchowski ripening (NC diffusion and coalescence). Preservation of individual NC structure and inhibition of coarsening are key, e.g., for avoiding catalyst degradation. This review focuses on postsynthesis evolution of metallic NCs. Atomistic-level modeling typically utilizes stochastic lattice-gas models to access appropriate time and length scales. However, predictive modeling requires incorporation of realistic rates for relaxation mechanisms, e.g., periphery diffusion and intermixing, in numerous local environments (rather than the use of generic prescriptions). Alternative coarse-grained modeling must also incorporate appropriate mechanisms and kinetics. At the level of individual NCs, we present analyses of reshaping, including sintering and pinch-off, and of compositional evolution in a vacuum environment. Here, we also discuss modeling of coarsening including diffusion and decay of individual NCs and unconventional coarsening processes. We describe high-level modeling integrated with scanning tunneling microscopy (STM) studies for supported 2D epitaxial nanoclusters and developments in modeling for 3D NCs motivated by in situ transmission electron microscopy (TEM) studies.
Research Organization:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-07CH11358
OSTI ID:
1542947
Report Number(s):
IS-J--9764
Journal Information:
Chemical Reviews, Journal Name: Chemical Reviews Journal Issue: 11 Vol. 119; ISSN 0009-2665
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (347)

Phase-Field Methods in Materials Science and Engineering book January 2010
Nanocrystal gold molecules journal May 1996
Intermetallic Nanocrystals: Syntheses and Catalytic Applications journal February 2017
Crystallinity dynamics of gold nanoparticles during sintering or coalescence journal December 2015
Kinetics of crystallite sintering during heat treatment of supported metal catalysts journal March 1973
Shape-Controlled Synthesis of Metal Nanocrystals: Simple Chemistry Meets Complex Physics? journal December 2008
Shape-Controlled Synthesis of Copper Nanocrystals in an Aqueous Solution with Glucose as a Reducing Agent and Hexadecylamine as a Capping Agent journal September 2011
Fast scanning tunnelling microscopy as a tool to understand changes on metal surfaces: from nanostructures to single atoms journal March 2005
Formation of Nanotubes and Hollow Nanoparticles Based on Kirkendall and Diffusion Processes: A Review journal October 2007
Surface Segregation in Bimetallic Nanoparticles: A Critical Issue in Electrocatalyst Engineering journal March 2015
Islands, Mounds and Atoms book January 2004
Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids book January 1999
?Critical clusters? in a supersaturated vapor: Theory and Monte Carlo simulation journal March 1980
Exact equilibrium shapes of Ising crystals on triangular/honeycomb lattices journal December 1986
Adatom mobility for the solid-on-solid model journal June 1995
The discovery and acceptance of the Kirkendall Effect: The result of a short research career journal June 1997
Kinetic Monte Carlo simulation of strained heteroepitaxial growth with intermixing journal November 2009
Kinetics of shape equilibration for two dimensional islands journal October 1999
Reaction of Au(111) with Sulfur and Oxygen: Scanning Tunneling Microscopic Study journal August 2005
Towards the Understanding of Sintering Phenomena at the Nanoscale: Geometric and Environmental Effects journal August 2013
Equilibrium shape of a small particle in contact with a foreign substrate journal February 1967
Preparation of monodispersed colloidal particles journal January 1987
Growth kinetics and the size distributions of supported metal crystallites journal May 1973
Events observed and evidence for crystallite migration in Pt/Al2O3 catalysts journal February 1988
A new algorithm for Monte Carlo simulation of Ising spin systems journal January 1975
Temperature dependence of surface self-diffusion on Pt(001) journal April 1991
Nucleation and growth of square islands during deposition: Sizes, coalescence, separations and correlations journal December 1993
Dendritic islands in metal-on-metal epitaxy I. Shape transitions and diffusion at island edges journal July 1994
Anisotropic corner diffusion as origin for dendritic growth on hexagonal substrates journal March 1996
Supported metal crystallites journal January 1975
Clustering on surfaces journal December 1992
Shells of atoms journal August 1996
Shape evolution by surface diffusion and surface attachment limited kinetics on completely faceted surfaces journal December 1995
Kinetics of island diffusion on Cu(111) and Ag(111) studied with variable-temperature STM journal October 2000
Clusters and islands on oxides: from catalysis via electronics and magnetism to optics journal March 2002
Dynamics of vacancy island coalescence on Ag(111) journal May 1998
Local correlation during Ostwald ripening of two-dimensional islands on Ag(111) journal November 1999
Lattice Monte Carlo models of thin film deposition journal April 2000
Step and island dynamics at solid/vacuum and solid/liquid interfaces journal September 2001
Microscopic view of epitaxial metal growth: nucleation and aggregation journal January 1998
Island formation during deposition or etching journal May 2000
Accelerated Molecular Dynamics Methods: Introduction and Recent Developments book January 2009
Computer modeling and simulation of solid-state sintering: A phase field approach journal February 2006
In situ transmission electron microscopy and scanning transmission electron microscopy studies of sintering of Ag and Pt nanoparticles journal December 2014
Particle size distributions in heterogeneous catalysts: What do they tell us about the sintering mechanism? journal January 2006
2D Phase field modeling of sintering of silver nanoparticles journal December 2016
Hyperdynamics made simple: Accelerated molecular dynamics with the Bond-Boost method journal April 2015
Molecular dynamics simulation of electrical resistivity in sintering process of nanoparticle silver inks journal December 2016
Phase field modeling of sintering: Role of grain orientation and anisotropic properties journal June 2018
Ostwald ripening in a Pt/SiO2 model catalyst studied by in situ TEM journal July 2011
Revealing particle growth mechanisms by combining high-surface-area catalysts made with monodisperse particles and electron microscopy conducted at atmospheric pressure journal May 2016
The physics of moving wetting lines journal July 2006
Off-lattice pattern recognition scheme for kinetic Monte Carlo simulations journal May 2012
Synthesis and catalytic properties of bimetallic nanomaterials with various architectures journal October 2012
Morphology of supported nanoparticles journal January 2005
Transition metals on the (0 0 0 1) surface of graphite: Fundamental aspects of adsorption, diffusion, and morphology journal August 2014
Growth morphology and properties of metals on graphene journal December 2015
Morphological evolution during epitaxial thin film growth: Formation of 2D islands and 3D mounds journal April 2006
In situ scanning tunneling microscopy studies of bimetallic cluster growth: Pt–Rh on TiO2(110) journal July 2006
Nanoisland shape relaxation mechanism journal January 2007
Sensitivity of short-range trio interactions to lateral relaxation of adatoms: Challenges for detailed lattice-gas modeling journal March 2008
Surface segregation energies in low-index open surfaces of bimetallic transition metal alloys journal January 2009
Comparison of cluster expansion fitting algorithms for interactions at surfaces journal October 2015
Stability of M3S3 complexes on fcc M(111) surfaces: M = Au, Ag, Cu, and Ni journal October 2018
Surface energies, adhesion energies, and exfoliation energies relevant to copper-graphene and copper-graphite systems journal July 2019
Surface Diffusion book July 2010
Finite element methods for surface PDEs journal April 2013
Bimetallic Nanocrystals: Syntheses, Properties, and Applications journal July 2016
Nano Kirkendall Effect Related to Nanocrystallinity of Metal Nanocrystals: Influence of the Outward and Inward Atomic Diffusion on the Final Nanoparticle Structure journal August 2015
Understanding the Growth, Chemical Activity, and Cluster–Support Interactions for Pt–Re Bimetallic Clusters on TiO 2 (110) journal May 2016
Rayleigh Instability and Surfactant-Mediated Stabilization of Ultrathin Gold Nanorods journal July 2016
Ab Initio Thermodynamics and Kinetics for Coalescence of Two-Dimensional Nanoislands and Nanopits on Metal (100) Surfaces journal September 2016
Modeling the Migration of Platinum Nanoparticles on Surfaces Using a Kinetic Monte Carlo Approach journal February 2017
Configurational Energies of Nanoparticles Based on Metal–Metal Coordination journal October 2017
Modeling of Diffusivity for 2D Vacancy Nanopits and Comparison with 2D Adatom Nanoislands on Metal(100) Surfaces Including Analysis for Ag(100) journal February 2018
Structure of Polydisperse fcc Nanocrystals: Implications for Crystal Fractionalization journal March 2019
Directing Anisotropic Assembly of Metallic Nanoclusters by Exploiting Linear Trio Interactions and Quantum Size Effects: Au Chains on Ag(100) Thin Films journal May 2015
Thermal Stability of Co–Pt and Co–Au Core–Shell Structured Nanoparticles: Insights from Molecular Dynamics Simulations journal August 2017
Experimentally Validated Structures of Supported Metal Nanoclusters on MoS 2 journal May 2018
How Structure-Directing Agents Control Nanocrystal Shape: Polyvinylpyrrolidone-Mediated Growth of Ag Nanocubes journal October 2015
In Situ X-ray Scattering Guides the Synthesis of Uniform PtSn Nanocrystals journal May 2018
Sintering of Pt Nanoparticles via Volatile PtO 2 : Simulation and Comparison with Experiments journal September 2016
Chemical Potential of Metal Atoms in Supported Nanoparticles: Dependence upon Particle Size and Support journal November 2017
Trends in Adhesion Energies of Metal Nanoparticles on Oxide Surfaces: Understanding Support Effects in Catalysis and Nanotechnology journal January 2017
Understanding the Thermal Stability of Palladium–Platinum Core–Shell Nanocrystals by In Situ Transmission Electron Microscopy and Density Functional Theory journal April 2017
Shape-Controlled Synthesis of Pd Nanocrystals and Their Catalytic Applications journal November 2012
Sintering of Catalytic Nanoparticles: Particle Migration or Ostwald Ripening? journal April 2013
Gold Nanocages: Synthesis, Properties, and Applications journal December 2008
Nucleation of Crystals from Solution: Classical and Two-Step Models journal May 2009
Surface Area Limited Model for Predicting Anisotropic Coarsening of Faceted Nanoparticles journal January 2011
Nucleation Control of Size and Dispersity in Aggregative Nanoparticle Growth. A Study of the Coarsening Kinetics of Thiolate-Capped Gold Nanocrystals journal May 2010
Pathway from a Molecular Precursor to Silver Nanoparticles: The Prominent Role of Aggregative Growth journal June 2010
Kinetics and Mechanisms of Aggregative Nanocrystal Growth journal September 2013
Core/Shell Nanoparticles: Classes, Properties, Synthesis Mechanisms, Characterization, and Applications journal December 2011
Mechanisms of Nucleation and Growth of Nanoparticles in Solution journal July 2014
Acid and Basic Catalysis. journal October 1928
Formation and Structure of Self-Assembled Monolayers journal January 1996
Mechanistic Study on the Replacement Reaction between Silver Nanostructures and Chloroauric Acid in Aqueous Medium journal March 2004
Kirkendall Effect and Lattice Contraction in Nanocatalysts: A New Strategy to Enhance Sustainable Activity journal August 2011
Relating Rates of Catalyst Sintering to the Disappearance of Individual Nanoparticles during Ostwald Ripening journal December 2011
Size-Dependent Morphology of Dealloyed Bimetallic Catalysts: Linking the Nano to the Macro Scale journal December 2011
Quantitative Analysis of the Role Played by Poly(vinylpyrrolidone) in Seed-Mediated Growth of Ag Nanocrystals journal January 2012
Dynamic HAADF-STEM Observation of a Single-Atom Chain as the Transient State of Gold Ultrathin Nanowire Breakdown journal September 2014
Predicted Trends of Core−Shell Preferences for 132 Late Transition-Metal Binary-Alloy Nanoparticles journal October 2009
Direct Observations of Oxygen-induced Platinum Nanoparticle Ripening Studied by In Situ TEM journal June 2010
Transition Metal Nanocluster Formation Kinetic and Mechanistic Studies. A New Mechanism When Hydrogen Is the Reductant:  Slow, Continuous Nucleation and Fast Autocatalytic Surface Growth journal October 1997
Photophysical, Photochemical and Photocatalytic Aspects of Metal Nanoparticles journal August 2002
Solid-State Kinetic Models:  Basics and Mathematical Fundamentals journal September 2006
Bimetallic Pt−Au Clusters on TiO 2 (110):  Growth, Surface Composition, and Metal−Support Interactions journal March 2008
Surface Segregation and Structural Features of Bimetallic Au−Pt Nanoparticles journal June 2010
Interaction of CO with Structurally Well-Defined Monolayer PtAu/Pt(111) Surface Alloys journal May 2012
Nucleation, Growth, and Adsorbate-Induced Changes in Composition for Co–Au Bimetallic Clusters on TiO 2 journal November 2012
The Oxidation of Cobalt Nanoparticles into Kirkendall-Hollowed CoO and Co 3 O 4 : The Diffusion Mechanisms and Atomic Structural Transformations journal June 2013
Novel Self-Organized Structure of a Ag−S Complex on the Ag(111) Surface below Room Temperature journal February 2008
Coarsening of Two-Dimensional Nanoclusters on Metal Surfaces journal March 2009
Novel Nano-Column and Nano-Flower Arrays by Glancing Angle Deposition journal April 2002
Adsorption of Polyvinylpyrrolidone on Ag Surfaces: Insight into a Structure-Directing Agent journal January 2012
A Comprehensive Search for Stable Pt–Pd Nanoalloy Configurations and Their Use as Tunable Catalysts journal January 2012
Dealloying of Noble-Metal Alloy Nanoparticles journal April 2014
Real-Time Ab Initio KMC Simulation of the Self-Assembly and Sintering of Bimetallic Epitaxial Nanoclusters: Au + Ag on Ag(100) journal June 2014
Configurational Thermodynamics of Alloyed Nanoparticles with Adsorbates journal November 2014
Low-Temperature Nanocrystal Unification through Rotations and Relaxations Probed by in Situ Transmission Electron Microscopy journal November 2008
Predicting Nanocrystal Shape through Consideration of Surface-Ligand Interactions journal February 2012
Direct in Situ Determination of the Mechanisms Controlling Nanoparticle Nucleation and Growth journal September 2012
Stability of Platinum Nanoparticles Supported on SiO 2 /Si(111): A High-Pressure X-ray Photoelectron Spectroscopy Study journal November 2012
Shaped Pd–Ni–Pt Core-Sandwich-Shell Nanoparticles: Influence of Ni Sandwich Layers on Catalytic Electrooxidations journal June 2014
A Unified Description of Attachment-Based Crystal Growth journal June 2014
Diffusion and Seed Shape: Intertwined Parameters in the Synthesis of Branched Metal Nanostructures journal July 2014
Real-Time TEM and Kinetic Monte Carlo Studies of the Coalescence of Decahedral Gold Nanoparticles journal October 2009
Evolution of nanoporosity in dealloying journal March 2001
Nonclassical nucleation and growth of inorganic nanoparticles journal June 2016
Initial corrosion observed on the atomic scale journal February 2006
Alloy Cu3Pt nanoframes through the structure evolution in Cu-Pt nanoparticles with a core-shell construction journal September 2014
Origin of nanomorphology: does a complete theory of nanoparticle evolution exist? journal January 2010
Nanostructured materials for applications in heterogeneous catalysis journal January 2013
Thermal instabilities and Rayleigh breakup of ultrathin silver nanowires grown in helium nanodroplets journal January 2015
Multi-scale theory and simulation of shape-selective nanocrystal growth journal January 2016
Toward rational nanoparticle synthesis: predicting surface intermixing in bimetallic alloy nanocatalysts journal January 2017
Kinetics, energetics, and size dependence of the transformation from Pt to ordered PtSn intermetallic nanoparticles journal January 2019
Formation, atomic distribution and mixing energy in two-dimensional PdxAg1−x surface alloys on Pd(111) journal January 2012
In situ atomic imaging of coalescence of Au nanoparticles on graphene: rotation and grain boundary migration journal January 2013
Nonequilibrium kinetic study of sintering of dispersed nanoparticles journal January 2013
Ultralong gold nanoparticle/block copolymer hybrid cylindrical micelles: a strategy combining surface templated self-assembly and Rayleigh instability journal January 2013
Inertia and driving force of chemical reactions journal January 1938
Ostwald ripening on a substrate : modeling local interparticle diffusion journal May 1994
Chemically limited versus diffusion limited aggregation journal January 1984
In-situ observations of classical grain growth mechanisms during sintering of copper nanoparticles on (001) copper journal September 1997
A climbing image nudged elastic band method for finding saddle points and minimum energy paths journal December 2000
Long time scale kinetic Monte Carlo simulations without lattice approximation and predefined event table journal December 2001
Schwoebel-Ehrlich barrier: from two to three dimensions journal May 2002
The effect of common gases on nucleation of metal islands: The role of oxygen in Ag(100) homoepitaxy journal April 2003
Rotation and Translation of Islands in the Growth of Heteroepitaxial Films journal October 1968
Study of the Sintering of Glass journal December 1949
Morphological Changes of a Surface of Revolution due to Capillarity‐Induced Surface Diffusion journal June 1965
Flattening of a Nearly Plane Solid Surface due to Capillarity journal January 1959
Ab initio determination of Ehrlich–Schwoebel barriers on Cu{111} journal March 2008
Adaptive kinetic Monte Carlo for first-principles accelerated dynamics journal September 2008
Accelerated coarsening of Ag adatom islands on Ag(111) due to trace amounts of S: Mass-transport mediated by Ag–S complexes journal March 2009
Influence of surface energy anisotropy on morphological changes occurring by surface diffusion journal June 1975
Transformations of the distribution of nuclei formed in a nucleation pulse: Interface-limited growth journal October 2009
Nucleation theory beyond the deterministic limit. I. The nucleation stage journal March 2010
Nucleation theory beyond the deterministic limit. II. The growth stage journal March 2010
Substrate and size effects on the coalescence of small particles journal November 1991
Another kinetic mechanism of stabilizing multiple-layer surface steps journal May 2011
Temperature-dependent growth shapes of Ni nanoclusters on NiAl(110) journal August 2011
Destabilization of Ag nanoislands on Ag(100) by adsorbed sulfur journal October 2011
An atomistic simulator for thin film deposition in three dimensions journal October 1998
The effects of random bond breaking on diffusion limited cluster–cluster aggregation journal October 1985
Communication: Structure, formation, and equilibration of ensembles of Ag-S complexes on an Ag surface journal February 2013
A new method for simulating the late stages of island coarsening in thin film growth: The role of island diffusion and evaporation journal June 1999
Smoluchowski ripening of Ag islands on Ag(100) journal September 1999
Atomistic modeling of the directed-assembly of bimetallic Pt-Ru nanoclusters on Ru(0001)-supported monolayer graphene journal April 2013
Simulations of mobility and evaporation rate of adsorbate islands on solid surfaces journal November 1999
Self-organization of S adatoms on Au(111): √3R30° rows at low coverage journal July 2015
Algorithmic developments of the kinetic activation-relaxation technique: Accessing long-time kinetics of larger and more complex systems journal October 2017
Kinetic Monte Carlo model of breakup of nanowires into chains of nanoparticles journal November 2017
Communication: Diverse nanoscale cluster dynamics: Diffusion of 2D epitaxial clusters journal November 2017
Self-assembly of metal nanostructures on binary alloy surfaces journal November 2010
Using Kinetic Monte Carlo simulations to study phase separation in Alloys journal May 2004
Rate equation approaches to thin film nucleation kinetics journal March 1973
Nucleation and growth of thin films journal April 1984
Off-lattice self-learning kinetic Monte Carlo: application to 2D cluster diffusion on the fcc(111) surface journal January 2009
Formation of complex wedding-cake morphologies during homoepitaxial film growth of Ag on Ag(111): atomistic, step-dynamics, and continuum modeling journal January 2009
The crossover from collective motion to periphery diffusion for two-dimensional adatom-islands on Cu(111) journal October 2011
Nanoparticle shape, thermodynamics and kinetics journal January 2016
Diffusion barriers on Cu surfaces and near steps journal October 2004
Elemental vacancy diffusion database from high-throughput first-principles calculations for fcc and hcp structures journal January 2014
Current advances in precious metal core–shell catalyst design journal August 2014
III. An essay on the cohesion of fluids journal January 1805
Exact equilibrium crystal shapes at nonzero temperature in two dimensions journal December 1981
Total surface energy and equilibrium shapes: Exact results for the d = 2 Ising crystal journal February 1982
Equilibrium crystal shapes for lattice models with nearest-and next-nearest-neighbor interactions journal January 1984
Scaling analysis of diffusion-mediated island growth in surface adsorption processes journal November 1992
Dynamics of irreversible island growth during submonolayer epitaxy journal September 1994
Capture zones and scaling in homogeneous thin-film growth journal April 1996
Embedded-atom-method effective-pair-interaction study of the structural and thermodynamic properties of Cu-Ni, Cu-Ag, and Au-Ni solid solutions journal February 1996
Brownian motion and shape fluctuations of single-layer adatom and vacancy clusters on surfaces: Theory and simulations journal October 1996
Ehrlich-Schwoebel instability in molecular-beam epitaxy: A minimal model journal August 1996
Exact island-size distributions for submonolayer deposition: Influence of correlations between island size and separation journal December 1996
Ab initio study of step formation and self-diffusion on Ag(100) journal May 1997
Decay of isolated surface features driven by the Gibbs-Thomson effect in an analytic model and a simulation journal January 1997
Melting, freezing, and coalescence of gold nanoclusters journal July 1997
Fragmentation of two-dimensional mass fractals by surface-diffusion sintering journal September 1997
Unified view of step-edge kinetics and fluctuations journal February 1998
Surface segregation energies in transition-metal alloys journal June 1999
Adatom capture by arrays of two-dimensional Ag islands on Ag(100) journal January 1999
Self-diffusion along step bottoms on Pt(111) journal August 1999
Electromigration of single-layer clusters journal November 2000
Low-temperature shape relaxation of two-dimensional islands by edge diffusion journal December 2000
Morphology of multilayer Ag/Ag(100) films versus deposition temperature: STM analysis and atomistic lattice-gas modeling journal January 2001
Island-corner barrier effect in two-dimensional pattern formation at surfaces journal March 2001
Nucleation, adatom capture, and island size distributions: Unified scaling analysis for submonolayer deposition journal May 2001
Low-temperature structure of S/Cu(111) journal September 2001
Development and ordering of mounds during metal(100) homoepitaxy journal May 2002
Approaching the low-temperature limit in nucleation and two-dimensional growth of fcc (100) metal films Ag/Ag(100) journal October 2002
Sintering of two-dimensional nanoclusters in metal(100) homoepitaxial systems: Deviations from predictions of Mullins continuum theory journal October 2002
Calculating the vacancy formation energy in metals: Pt, Pd, and Mo journal December 2002
Island sizes and capture zone areas in submonolayer deposition:  Scaling and factorization of the joint probability distribution journal December 2002
Geometry-based simulation of submonolayer film growth journal September 2003
Surface fluctuations and the stability of metal nanowires journal October 2003
Searching for transition paths in multidimensional space with a fixed repulsive bias potential journal January 2004
Effects of next-nearest-neighbor interactions on the orientation dependence of step stiffness: Reconciling theory with experiment for Cu(001) journal December 2004
Temperature dependence of island growth shapes during submonolayer deposition of Ag on Ag ( 111 ) journal March 2005
Low-temperature orientation dependence of step stiffness on {111} surfaces journal June 2005
Ostwald ripening of two-dimensional homoepitaxial islands journal July 2005
Self-learning kinetic Monte Carlo method: Application to Cu(111) journal September 2005
Extended lattice gas interactions of Cu on Cu(111) and Cu(001): Ab initio evaluation and implications journal March 2006
Interactions between Al atoms on Al(110) from first-principles calculations journal June 2007
Ripening of monolayer vacancy pits on metal surfaces: Pathways, energetics, and size-scaling for Ag(111) versus Ag(100) journal June 2007
Exploration of complex multilayer film growth morphologies: STM analysis and predictive atomistic modeling for Ag on Ag(111) journal January 2008
Connector model for describing many-body interactions at surfaces journal November 2008
Competition between area and height evolution of Pb islands on a Si(111) surface journal March 2009
Evolution of neck radius and relaxation of coalescing nanoparticles journal August 2009
Diffusion barriers for Ag and Cu adatoms on the terraces and step edges on Cu(100) and Ag(100): An ab initio study journal December 2009
Density functional analysis of key energetics in metal homoepitaxy: Quantum size effects in periodic slab calculations journal January 2010
Model for transient elongation and drift of islands on vicinal substrates journal January 2010
Cluster expansion and the configurational theory of alloys journal June 2010
Shell structure and phase relations in electronic properties of metal nanowires from an electron-gas model journal September 2010
Ehrlich-Schwoebel barrier and interface-limited decay in island kinetics on Ag(100) journal January 2012
Nanoalloy composition-temperature phase diagram for catalyst design: Case study of Ag-Au journal July 2012
Kinetic Monte Carlo simulation of heteroepitaxial growth: Wetting layers, quantum dots, capping, and nanorings journal December 2012
Anisotropic coarsening: One-dimensional decay of Ag islands on Ag(110) journal April 2013
Self-diffusion of small Ni clusters on the Ni(111) surface: A self-learning kinetic Monte Carlo study journal July 2013
Analytic formulations for one-dimensional decay of rectangular homoepitaxial islands during coarsening on anisotropic fcc (110) surfaces journal October 2013
Determining whether metals nucleate homogeneously on graphite: A case study with copper journal November 2014
Cu 2 S 3 complex on Cu(111) as a candidate for mass transport enhancement journal January 2015
Refined BCF-type boundary conditions for mesoscale surface step dynamics journal June 2015
Submonolayer Ag films on Fe(100): A first-principles analysis of energetics controlling adlayer thermodynamics and kinetics journal April 2016
Permeability and kinetic coefficients for mesoscale BCF surface step dynamics: Discrete two-dimensional deposition-diffusion equation analysis journal April 2016
Influence of terrace widths on Au(111) reconstruction journal July 2017
Thickness-dependent energetics for Pb adatoms on low-index Pb nanofilm surfaces: First-principles calculations journal November 2017
Diffusion of two-dimensional epitaxial clusters on metal (100) surfaces: Facile versus nucleation-mediated behavior and their merging for larger sizes journal December 2017
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals journal November 2004
Test of multiscaling in a diffusion-limited-aggregation model using an off-lattice killing-free algorithm journal January 2006
Early stages of Ostwald ripening journal July 2013
Universal Distributions Generated in a Nucleation Pulse journal November 2008
Characteristic Length Scale of Nanorod Diameter during Growth journal December 2008
Growth Mechanisms of Metal Nanoparticles via First Principles journal April 2009
Rapid Diffusion of Magic-Size Islands by Combined Glide and Vacancy Mechanism journal July 2009
Formation of a Novel Ordered Ni 3 Al Surface Structure by Codeposition on NiAl(110) journal May 2012
Mechanism of Hollow Nanoparticle Formation Due to Shape Fluctuations journal April 2014
Collective Atomic Displacements during Complex Phase Boundary Migration in Solid-Solid Phase Transformations journal January 2016
Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon journal November 1981
Formation of Fractal Clusters and Networks by Irreversible Diffusion-Limited Aggregation journal September 1983
Scaling of Kinetically Growing Clusters journal September 1983
Dynamic Scaling in the Kinetics of Clustering journal April 1985
Limits of the Fractal Dimension for Irreversible Kinetic Aggregation of Gold Colloids journal April 1985
Dynamic Scaling of Growing Interfaces journal March 1986
Dynamic Scaling of Cluster-Mass Distributions in Kinetic Colloid Aggregation journal October 1986
Universal kinetics in reaction-limited aggregation journal January 1987
Surface self-diffusion on Pt(001) by an atomic exchange mechanism journal June 1990
Fractal growth of two-dimensional islands: Au on Ru(0001) journal December 1991
Diffusion of Large Two-Dimensional Ag Clusters on Ag(100) journal November 1994
Brownian Motion of Vacancy Islands on Ag(111) journal March 1995
Diffusion of Monolayer Adatom and Vacancy Clusters: Langevin Analysis and Monte Carlo Simulations of their Brownian Motion journal September 1995
Chemical Potential Maps and Spatial Correlations in 2D-Island Ripening on Si(001) journal October 1995
Decay of Two-Dimensional Ag Islands on Ag(111) journal March 1996
Atomic Processes in Low Temperature Pt-Dendrite Growth on Pt(111) journal March 1996
Dimer Shearing as a Novel Mechanism for Cluster Diffusion and Dissociation on Metal (100) Surfaces journal June 1996
Coarsening Mechanisms in a Metal Film: From Cluster Diffusion to Vacancy Ripening journal January 1996
Anisotropy of Growth of the Close-Packed Surfaces of Silver journal August 1996
Event-Based Relaxation of Continuous Disordered Systems journal November 1996
Magic Size Effects for Heteroepitaxial Island Diffusion journal July 1996
Surface Self-Diffusion by Vacancy Motion: Island Ripening on Cu(001) journal September 1997
Island Diffusion and Coarsening on Metal (100) Surfaces journal October 1997
Selection of the Scaling Solution in a Cluster Coalescence Model journal November 1997
Coalescence of Spheres by Surface Diffusion journal March 1998
Measurement of Energies Controlling Ripening and Annealing on Metal Surfaces journal January 1998
How Sensitive is Epitaxial Growth to Adsorbates? journal August 1998
Island Size and Environment Dependence of Adatom Capture: Cu/Co Islands on Ru(0001) journal August 1998
Evolution of Far-From-Equilibrium Nanostructures Formed by Cluster-Step and Cluster-Cluster Coalescence in Metal Films journal October 1998
Low-Symmetry Diffusion Barriers in Homoepitaxial Growth of Al(111) journal July 1998
Island Diffusion on Metal fcc (100) Surfaces journal March 1999
Transition from One-Dimensional to Two-Dimensional Island Decay on an Anisotropic Surface journal August 1999
Origin of Compact Triangular Islands in Metal-on-Metal Growth journal September 1999
Island Nucleation in Thin-Film Epitaxy: A First-Principles Investigation journal June 2000
Changing Shapes in the Nanoworld journal July 2000
Formation and Diffusion of S-Decorated Cu Clusters on Cu(111) journal July 2000
Decay Characteristics of Surface Mounds with Contrasting Interlayer Mass Transport Channels journal March 2001
Evolution of Two-Dimensional Wormlike Nanoclusters on Metal Surfaces journal April 2001
Rate-Equation Approach to Island Capture Zones and Size Distributions in Epitaxial Growth journal April 2001
Continuum Model for Low Temperature Relaxation of Crystal Steps journal August 2001
Novel Continuum Modeling of Crystal Surface Evolution journal March 2002
Instability Driven Fragmentation of Nanoscale Fractal Islands journal April 2002
Competing Roughening Mechanisms in Strained Heteroepitaxy: A Fast Kinetic Monte Carlo Study journal November 2002
Stacking-Fault Nucleation on Ir(111) journal July 2003
Enhanced Self-Diffusion on Cu(111) by Trace Amounts of S: Chemical-Reaction-Limited Kinetics journal October 2004
Island, Pit, and Groove Formation in Strained Heteroepitaxy journal August 2005
Nucleation Rates for High Supersaturations journal September 2005
Theoretical Analysis of Mound Slope Selection during Unstable Multilayer Growth journal December 2005
Continuum Theory of Nanostructure Decay Via a Microscale Condition journal September 2006
Formation and morphological evolution of self-similar 3D nanostructures on weakly interacting substrates journal June 2018
Reshaping and sintering of 3D fcc metal nanoclusters: Stochastic atomistic modeling with realistic surface diffusion kinetics journal February 2019
Growth of nanostructures by cluster deposition: Experiments and simple models journal October 1999
Wetting and spreading journal May 2009
Nucleation Barrier for Volume-Conserving Shape Changes of Faceted Crystals journal January 2000
On The Instability Of Jets journal November 1878
Adsorbate-enhanced transport of metals on metal surfaces: Oxygen and sulfur on coinage metals
  • Thiel, Patricia A.; Shen, Mingmin; Liu, Da-Jiang
  • Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 28, Issue 6 https://doi.org/10.1116/1.3490017
journal November 2010
Self-Assembly at All Scales journal March 2002
The Effect of Size-Dependent Nanoparticle Energetics on Catalyst Sintering journal October 2002
Formation of Hollow Nanocrystals Through the Nanoscale Kirkendall Effect journal April 2004
Observation of Single Colloidal Platinum Nanocrystal Growth Trajectories journal June 2009
Carving at the Nanoscale: Sequential Galvanic Exchange and Kirkendall Growth at Room Temperature journal December 2011
High-Resolution EM of Colloidal Nanocrystal Growth Using Graphene Liquid Cells journal April 2012
Direction-Specific Interactions Control Crystal Growth by Oriented Attachment journal May 2012
Highly Crystalline Multimetallic Nanoframes with Three-Dimensional Electrocatalytic Surfaces journal February 2014
Facet development during platinum nanocube growth journal August 2014
Platinum-based nanocages with subnanometer-thick walls and well-defined, controllable facets journal July 2015
Single-particle mapping of nonequilibrium nanocrystal transformations journal November 2016
Modeling of Island Formation During Submonolayer Deposition: A Stochastic Geometry-Based Simulation Approach journal January 2005
Dynamical Scaling in Smoluchowski’s Coagulation Equations: Uniform Convergence journal January 2006
Analytic Formulas for the Orientation Dependence of Step Stiffness and Line Tension: Key Ingredients for Numerical Modeling journal January 2007
Anisotropic Step Stiffness from a Kinetic Model of Epitaxial Growth journal January 2008
Boundary Conditions for Burton–Cabrera–Frank Type Step-Flow Models: Coarse-Graining of Discrete 2D Deposition-Diffusion Equations journal January 2011
A Fully Discrete Evolving Surface Finite Element Method journal January 2012
Approximating Off-Lattice Kinetic Monte Carlo journal January 2014
Molecular dynamics simulation of Ni/Cu-Ni nanoparticles sintering under various crystallographic, thermodynamic and multi-nanoparticles conditions journal March 2015
Extending the Time Scale in Atomistic Simulation of Materials journal August 2002
Visual Models of Morphogenesis journal October 1993
Growth and structure of supported metal catalyst particles journal January 1995
Theory of the island and capture zone size distributions in thin film growth journal March 2000
Ripening Mechanisms in Ultrathin Metal Films journal January 1998
Shape-controlled synthesis of metal nanocrystals journal April 2013
Nucleation in atomic, molecular, and colloidal systems journal May 2016
Interfacial Bonding Behavior between Silver Nanoparticles and Gold Substrate Using Molecular Dynamics Simulation journal January 2012
Simulation of Three-Dimensional Strained Heteroepitaxial Growth Using Kinetic Monte Carlo journal November 2011
The heat equation shrinks embedded plane curves to round points journal January 1987

Cited By (3)

Complex oscillatory decrease with size in diffusivity of {100}-epitaxially supported 3D fcc metal nanoclusters journal January 2019
Energy barriers for Pb adatom diffusion on stepped ultrathin Pb(111) quantum nanofilms: First-principles calculations journal November 2019
Atomic Transport in Au-Ge Droplets: Brownian and Electromigration Dynamics journal October 2019

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