Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles

Metal nanoparticles (NPs) are ubiquitous in many fields, from nanotechnology to heterogeneous catalysis, with properties differing from those of single-crystal surfaces and bulks. A key aspect is the size-dependent evolution of NP properties toward the bulk limit, including the adoption of different...

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Main Authors: Lorena Vega, Francesc Viñes, Konstantin M. Neyman
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/12/1/17
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author Lorena Vega
Francesc Viñes
Konstantin M. Neyman
author_facet Lorena Vega
Francesc Viñes
Konstantin M. Neyman
author_sort Lorena Vega
collection DOAJ
description Metal nanoparticles (NPs) are ubiquitous in many fields, from nanotechnology to heterogeneous catalysis, with properties differing from those of single-crystal surfaces and bulks. A key aspect is the size-dependent evolution of NP properties toward the bulk limit, including the adoption of different NP shapes, which may bias the NP stability based on the NP size. Herein, the stability of different Pd<i><sub>n</sub></i> NPs (<i>n</i> = 10–1504 atoms) considering a myriad of shapes is investigated by first-principles energy optimisation, leading to the determination that icosahedron shapes are the most stable up to a size of ca. 4 nm. In NPs larger than that size, truncated octahedron shapes become more stable, yet a presence of larger {001} facets than the Wulff construction is forecasted due to their increased stability, compared with (001) single-crystal surfaces, and the lower stability of {111} facets, compared with (111) single-crystal surfaces. The NP cohesive energy breakdown in terms of coordination numbers is found to be an excellent quantitative tool of the stability assessment, with mean absolute errors of solely 0.01 eV·atom<sup>−1</sup>, while a geometry breakdown allows only for a qualitative stability screening.
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spelling doaj.art-404255a46f764351a609a77449a812902023-11-23T12:00:18ZengMDPI AGNanomaterials2079-49912021-12-011211710.3390/nano12010017Unravelling Morphological and Topological Energy Contributions of Metal NanoparticlesLorena Vega0Francesc Viñes1Konstantin M. Neyman2Departament de Ciència de Materials i Química Física, Universitat de Barcelona, c/Martí i Franquès 1-11, 08028 Barcelona, SpainDepartament de Ciència de Materials i Química Física, Universitat de Barcelona, c/Martí i Franquès 1-11, 08028 Barcelona, SpainDepartament de Ciència de Materials i Química Física, Universitat de Barcelona, c/Martí i Franquès 1-11, 08028 Barcelona, SpainMetal nanoparticles (NPs) are ubiquitous in many fields, from nanotechnology to heterogeneous catalysis, with properties differing from those of single-crystal surfaces and bulks. A key aspect is the size-dependent evolution of NP properties toward the bulk limit, including the adoption of different NP shapes, which may bias the NP stability based on the NP size. Herein, the stability of different Pd<i><sub>n</sub></i> NPs (<i>n</i> = 10–1504 atoms) considering a myriad of shapes is investigated by first-principles energy optimisation, leading to the determination that icosahedron shapes are the most stable up to a size of ca. 4 nm. In NPs larger than that size, truncated octahedron shapes become more stable, yet a presence of larger {001} facets than the Wulff construction is forecasted due to their increased stability, compared with (001) single-crystal surfaces, and the lower stability of {111} facets, compared with (111) single-crystal surfaces. The NP cohesive energy breakdown in terms of coordination numbers is found to be an excellent quantitative tool of the stability assessment, with mean absolute errors of solely 0.01 eV·atom<sup>−1</sup>, while a geometry breakdown allows only for a qualitative stability screening.https://www.mdpi.com/2079-4991/12/1/17cohesive energydensity functional calculationsmetal nanoparticlessize and shape dependencemultilinear regressionWulff structures
spellingShingle Lorena Vega
Francesc Viñes
Konstantin M. Neyman
Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles
Nanomaterials
cohesive energy
density functional calculations
metal nanoparticles
size and shape dependence
multilinear regression
Wulff structures
title Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles
title_full Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles
title_fullStr Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles
title_full_unstemmed Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles
title_short Unravelling Morphological and Topological Energy Contributions of Metal Nanoparticles
title_sort unravelling morphological and topological energy contributions of metal nanoparticles
topic cohesive energy
density functional calculations
metal nanoparticles
size and shape dependence
multilinear regression
Wulff structures
url https://www.mdpi.com/2079-4991/12/1/17
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AT francescvines unravellingmorphologicalandtopologicalenergycontributionsofmetalnanoparticles
AT konstantinmneyman unravellingmorphologicalandtopologicalenergycontributionsofmetalnanoparticles