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A ReaxFF investigation of hydride formation in palladium nanoclusters via Monte Carlo and molecular dynamics simulations

Evidence and attribution

Authority of statements

Prose sections below (Summary, Methods, Findings, etc.) are curated summaries of the publication identified by doi, title, and pdf_path in the front matter above. They are not new primary claims by this wiki.

For definitive numerical values, reaction schemes, and interpretations, use the peer-reviewed article (and optional records under normalized/papers/ when present)—not this page alone.

Summary

This J. Phys. Chem. C article develops a ReaxFF Pd/H interaction description fit to quantum data for bulk and surface properties, then applies a hybrid grand-canonical Monte Carlo / MD (GC-MC/MD) approach to compute hydrogen absorption isotherms for Pd bulk and nanoclusters (sizes about 1.0–2.0 nm) over wide pressure and temperature ranges. Structural analysis emphasizes how surface, subsurface, and bulk regions contribute to the size-dependent transition between low-concentration α-like solid solution and higher-concentration β-like hydride regimes framed in terms of the miscibility gap behavior known from bulk Pd–H. Complementary MD studies address dissociative adsorption kinetics, hydrogen diffusion coefficients, barriers, and pre-exponentials in bulk Pd; the abstract claims agreement with experimental literature for both thermodynamic (GC-MC/MD) and kinetic observables.

Broader motivation highlights Pd as the canonical H\(_2\) storage and membrane metal where nanoscale confinement shifts phase boundaries; pairing GC-MC/MD thermodynamics with MD kinetics tests whether a single ReaxFF line can reproduce both isotherm shapes and diffusivity trends.

Readers should verify numerical values, units, and section references against the peer-reviewed PDF and any Supporting Information, especially when extracts or galley PDFs truncate tables.

Methods

ReaxFF training / reference data (Section 2.1 in article)

  • Pd/H ReaxFF is derived from an extensive quantum-mechanical training set covering bulk and surface properties (abstract and Methods introduction); bond-order ReaxFF form follows the standard van Duin reactive force-field framework cited in the paper.

Grand-canonical hybrid sampling (thermodynamics)

  • GC-MC/MD: A hybrid grand-canonical Monte Carlo / molecular dynamics method computes theoretical hydrogen absorption isotherms for Pd bulk and nanoclusters with diameters ~1.0–2.0 nm, spanning hydrogen pressures from 10⁻¹ atm to 10⁻¹⁴ atm and temperatures 300–500 K (abstract). Equilibrated structures are analyzed by region (surface, subsurface, bulk) to interpret the size-dependent transition between low-concentration α-like and higher-concentration β-like hydride regimes tied to the bulk miscibility gap picture.

Molecular dynamics (kinetics and transport)

  • MD studies address dissociative adsorption of H₂ from the gas phase for size-dependent uptake kinetics in clusters, and H diffusion in bulk Pd, reporting diffusion coefficients, apparent barriers, and pre-exponential factors from trajectory analysis (abstract).
  • Integration / cutoffs / timestep: not stated in the checked-in p1–2 extract; use the J. Phys. Chem. C Methods section and Supporting Information for engine settings and sampling lengths.

PBC / frozen layers, thermostat damping, barostat (NPT vs NVT), and any anisotropic stress control: N/A — not retyped from pdf_path on this wiki page—confirm in Methods/SI.

Findings

  • Thermodynamics: GC-MC/MD isotherms and regional H partitioning are used to describe how surface, subsurface, and bulk sites contribute to the α→β transition in nanoclusters versus bulk; the abstract reports agreement with experimental literature for these thermodynamic results.
  • Kinetics and transport: MD-derived uptake behavior and bulk H diffusion parameters (including barriers and pre-exponentials) are also reported to match experimental values in the authors’ comparison, supporting validation of the Pd/H potential.
  • Nanoscale miscibility gap: The Introduction reviews literature on narrowing (and possible closure) of the miscibility gap with decreasing cluster size and emphasizes stabilizer/support effects as an open experimental variable; the simulation analysis is framed in that context rather than as a single definitive cluster-size cutoff.
  • Parameter transferability: The Pd/H description is fully transferable with earlier Pd/O parameters, enabling planned extensions to Pd/O/H and Pd/C/O/H for oxidation, hydrogenation, and combustion on Pd catalysts (abstract closing statements).

Limitations

  • Cluster-stabilizer and support effects remain an active experimental variable; the extract emphasizes unresolved literature scatter on miscibility gap closure for small clusters.
  • Proofing artifacts appear in some deposited text variants; quantitative isotherm plots require full PDF review.

Relevance to group

Adri C. T. van Duin co-authorship ties this to the group’s ReaxFF parameterization program for hydrogen-metal systems underpinning many catalysis and storage simulations.

Citations and evidence anchors