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Related Experiment Video

Updated: May 31, 2026

Reverse Microemulsion-mediated Synthesis of Monometallic and Bimetallic Early Transition Metal Carbide and Nitride Nanoparticles
07:47

Reverse Microemulsion-mediated Synthesis of Monometallic and Bimetallic Early Transition Metal Carbide and Nitride Nanoparticles

Published on: November 27, 2015

Wulff construction for alloy nanoparticles.

E Ringe1, R P Van Duyne, L D Marks

  • 1Department of Chemistry, Northwestern University, Evanston, Illinois 60201, United States. emilieringe@u.northwestern.edu

Nano Letters
|July 13, 2011
PubMed
Summary
This summary is machine-generated.

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The Wulff construction model for nanoparticle shape is size-dependent at the nanoscale for alloys, challenging previous assumptions. This finding impacts understanding of nucleation, growth, and heterogeneous catalysis.

Area of Science:

  • Materials Science
  • Physical Chemistry
  • Nanotechnology

Background:

  • The Wulff construction is a fundamental model for predicting equilibrium crystal shapes.
  • It traditionally assumes size-independent thermodynamic shapes, applicable to bulk materials.

Purpose of the Study:

  • To investigate the validity of the Wulff construction at the nanoscale for alloy nanoparticles.
  • To determine if size-dependent effects emerge in the nanoscale regime.

Main Methods:

  • Computational modeling of alloy nanoparticle thermodynamics.
  • Analysis of size-dependent shape evolution and surface energetics.

Main Results:

  • The Wulff construction predicts size-dependent shapes for alloy nanoparticles at the nanoscale.

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Last Updated: May 31, 2026

Reverse Microemulsion-mediated Synthesis of Monometallic and Bimetallic Early Transition Metal Carbide and Nitride Nanoparticles
07:47

Reverse Microemulsion-mediated Synthesis of Monometallic and Bimetallic Early Transition Metal Carbide and Nitride Nanoparticles

Published on: November 27, 2015

Ultrahigh Density Array of Vertically Aligned Small-molecular Organic Nanowires on Arbitrary Substrates
08:07

Ultrahigh Density Array of Vertically Aligned Small-molecular Organic Nanowires on Arbitrary Substrates

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Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles

Published on: June 25, 2018

  • The infinite reservoir approximation is shown to break down for these systems.
  • Improved energetic and structural modeling reveals new insights.
  • Conclusions:

    • The Wulff construction requires modification for nanoscale alloy systems.
    • Findings have implications for nucleation, growth, and catalytic processes.
    • Surface composition and energetics are critical at the nanoscale.