Elastic properties of surfaces on nanoparticles

被引：52

作者：

Wolfer, Wilhelm G. ^{[1
,2
]}

机构：

[1] Sandia Natl Labs, Livermore, CA 94550 USA

[2] Ktech Corp Inc, Albuquerque, NM 87123 USA

来源：

ACTA MATERIALIA | 2011年 / 59卷 / 20期

关键词：

Elastic properties; Lattice strains; Nanoparticles; Surface stress; ARTICLE ENTITLED INCOMPATIBILITY; HERMANNS MATHEMATICAL STRUCTURE; SMALL PALLADIUM PARTICLES; LATTICE-PARAMETER; SHUTTLEWORTH EQUATION; DJ BOTTOMLEY; LINEAR COMBINATION; ATOMIC ORBITALS; STRESS; SIZE;

D O I：

10.1016/j.actamat.2011.08.033

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Lattice parameter changes in nanoparticles can be used to determine the surface stress of solids. In the past a Laplace-Young relationship has been employed to interpret the lattice parameter changes as a function of the particle size. In the meantime, however, atomistic calculations revealed a purely mechanical origin of the surface stress that is consistent with elasticity theory for solid surfaces as developed by Gurtin and Murdoch. In this theory the equilibrium distance for surface atoms may differ from that in the bulk solid, and the elastic properties of the surface layer may also deviate from bulk values. We apply this Gurtin-Murdoch theory to spherical nanoparticles and reanalyze past data as well as results from recent theoretical calculations on lattice parameter changes, thereby enabling us to determine surface properties commensurate with the mechanical interpretation of surface stress. (C) 2011 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

引用

页码：7736 / 7743

页数：8

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