Wulff construction for alloy nanoparticles.

Validity of Wulff construction used for size-dependent melting point of nanoparticles

An integrated model based on the variant of Ba/Bt, is established to predict size-dependent melting point of nanoparticles by considering the geometric and energetic characteristics of Wulff construction. Ba is the rest bond number and Bt denotes the total bond number without broken bonds in a Wulff construction. Without any adjustable parameters, this model predicts a decreasing trend of melti...

Nanoparticle shapes by using Wulff constructions and first-principles calculations

BACKGROUND The majority of complex and advanced materials contain nanoparticles. The properties of these materials depend crucially on the size and shape of these nanoparticles. Wulff construction offers a simple method of predicting the equilibrium shape of nanoparticles given the surface energies of the material. RESULTS We review the mathematical formulation and the main applications of Wu...

Kinetic and Thermodynamic Modified Wulff Constructions for Twinned Nanoparticles

Wulff constructions are a powerful tool to predict the shape of nanoparticles, which strongly influences their performance in catalysis, sensing, and surface-enhanced spectroscopies. Previous Wulff models focused on energy minimization and included contributions from the surface energy, interface energy, twin boundaries, and segregation-induced bulk energy changes. However, a large number of sh...

Alloy Cu3Pt nanoframes through the structure evolution in Cu-Pt nanoparticles with a core-shell construction

Noble metal nanoparticles with hollow interiors and customizable shell compositions have immense potential for catalysis. Herein, we present an unique structure transformation phenomenon for the fabrication of alloy Cu₃Pt nanoframes with polyhedral morphology. This strategy starts with the preparation of polyhedral Cu-Pt nanoparticles with a core-shell construction upon the anisotropic growth o...

On the nature of cross-hatch patterns on compositionally graded Si1xGex alloy layers