2015
DOI: 10.1016/j.susc.2015.01.016
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Size effect of the surface energy density of nanoparticles

Abstract: The surface energy density of nanoparticles exhibits an obviously size-dependent behavior. However, how the surface energy density changes with the diameter of nanoparticles is still ambiguous. Based on a recently developed continuum theory considering the size effect in nanomaterials, theoretical analysis is carried out for various fcc metallic nanoparticles. Surface lattice contractions of nanoparticles are predicted and compared with the existing experimental data. As a result, the surface energy density de… Show more

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Cited by 94 publications
(38 citation statements)
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“…Another critical issue that is under fierce debate is the measurable values of the surface energy of Ag NCs. Unlike bulk Ag crystals that are estimated in the range of 1.065–1.54 J m −2 , the values of Ag NCs are rather ambiguous, varying from 1.0 to 7.2 J m −2 . The size effect and structure reconstruction are believed to have significant influences on the surface energy of Ag NCs.…”
Section: Introductionmentioning
confidence: 95%
See 1 more Smart Citation
“…Another critical issue that is under fierce debate is the measurable values of the surface energy of Ag NCs. Unlike bulk Ag crystals that are estimated in the range of 1.065–1.54 J m −2 , the values of Ag NCs are rather ambiguous, varying from 1.0 to 7.2 J m −2 . The size effect and structure reconstruction are believed to have significant influences on the surface energy of Ag NCs.…”
Section: Introductionmentioning
confidence: 95%
“…For example, theoretical models from the perspective of thermodynamics indicate that the surface energy of metal NCs should decrease with decreasing particle size . However, simulations using size‐dependent lattice parameters propose a contrary conclusion: that the surface energy of NCs should be larger than their bulk counterparts. With a number of simulations, the surface energy of Ag clusters and NCs is mainly predicted to be lower than 2.2 J m −2 .…”
Section: Introductionmentioning
confidence: 99%
“…A new elasticity theory for nanomaterials and nanostructures has been developed recently [40], which provides an alternative way to account for the surface effect at nanoscales [41][42][43]. In the new theory, the surface of nanomaterials is also regarded as a zero-thickness layer.…”
Section: Introductionmentioning
confidence: 99%
“…Two opposite trends of size-dependent surface energy density of nanomaterials have, however, been reported by different studies [19][20][21]. Yin Yao et al reported that surface energy density decreases with the increase in nanoparticles size [22]. In another recent study by Wang et al, atomic simulations done to calculate the surface energy density of spherical nanosurfaces found that the average surface energy density almost remains constant once its radius exceeds 5 nm [21].…”
Section: Hr-tem Observations Of Nanofluidsmentioning
confidence: 99%