Surface Energy of Nanostructural Materials with Negative Curvature and Related Size Effects

Ouyang, Gang; Wang, C. X.; Yang, Guo

doi:10.1021/cr900055f

Cited by 235 publications

(192 citation statements)

References 216 publications

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“…This changes a number of important factors by essentially diminishing the importance of bulk energy terms relative to surface energy terms on the thermodynamic equilibrium structure of the particle. These are likely to include: 15  The greater importance of surface free energy (It is also noteworthy that the surface energy itself will be particle size dependant, 8 as has been shown experimentally for PtRh nanoparticles. 9 )  Surface-adsorbate interactions becoming a significant energetic term when balanced by very little 'bulk.'…”

Section: [Journal] [Year] [Vol] 00-00mentioning

confidence: 99%

Exploring surface science and restructuring in reactive atmospheres of colloidally prepared bimetallic CuNi and CuCo nanoparticles on SiO2in situ using ambient pressure X-ray photoelectron spectroscopy

et al. 2013

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(2013) 'Exploring surface science and restructuring in reactive atmospheres of colloidally prepared bimetallic CuNi and CuCo nanoparticles on SiO2 in situ using ambient pressure X-ray photoelectron spectroscopy.', Faraday discussions., 162 . pp. 31-44.Further information on publisher's website:Publisher's copyright statement: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

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Section: [Journal] [Year] [Vol] 00-00mentioning

confidence: 99%

Exploring surface science and restructuring in reactive atmospheres of colloidally prepared bimetallic CuNi and CuCo nanoparticles on SiO2in situ using ambient pressure X-ray photoelectron spectroscopy

et al. 2013

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“…Furthermore, in recent years, the surface-energy density of nanomaterials was deeply studied and clarified [22,[62][63][64][65][66][67], which greatly facilitates investigating surface effects in nanomaterials from the point of view of energy.…”

Section: Introductionmentioning

confidence: 99%

Elastic Theory of Nanomaterials Based on Surface-Energy Density

Chen

Yao

2014

Journal of Applied Mechanics

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Recent investigations into surface-energy density of nanomaterials lead to a ripe chance to propose, within the framework of continuum mechanics, a new theory for nanomaterials based on surface-energy density. In contrast to the previous theories, the linearly elastic constitutive relationship that is usually adopted to describe the surface layer of nanomaterials is not invoked and the surface elastic constants are no longer needed in the new theory. Instead, a surface-induced traction to characterize the surface effect in nanomaterials is derived, which depends only on the Eulerian surface-energy density. By considering sample-size effects, residual surface strain, and external loading, an explicit expression for the Lagrangian surface-energy density is achieved and the relationship between the Eulerian surface-energy density and the Lagrangian surface-energy density yields a conclusion that only two material constants-the bulk surface-energy density and the surface-relaxation parameter-are needed in the new elastic theory. The new theory is further used to characterize the elastic properties of several fcc metallic nanofilms under biaxial tension, and the theoretical results agree very well with existing numerical results. Due to the nonlinear surface effect, nanomaterials may exhibit a nonlinearly elastic property though the inside of nanomaterials or the corresponding bulk one is linearly elastic. Moreover, it is found that externally applied loading should be responsible for the softening of the elastic modulus of a nanofilm. In contrast to the surface elastic constants required by existing theories, the bulk surface-energy density and the surface-relaxation parameter are much easy to obtain, which makes the new theory more convenient for practical applications.

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“…In addition, the bond-length in surface would contract spontaneously due to imperfect CNs, which is in a more active energy state differently from that in the region of interface. [22][23][24] Thus, the mean strain in the film can be given as follows:…”

Section: Principlementioning

confidence: 99%

Interface relaxation and band gap shift in epitaxial layers

Zhu

et al. 2012

AIP Advances

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Although it is well known that the interface relaxation plays the crucial role for the electronic properties in semiconductor epitaxial layers, there is lack of a clear definition of relationship between interfacial bond-energy variation and interface bond-nature-factor (IBNF) in epitaxial layers before and after relaxation. Here we establish an analytical method to shed light on the relationship between the IBNF and the bond-energy change, as well as the relation with band offset in epitaxial layers from the perspective of atomic-bond-relaxation consideration and continuum mechanics. The theoretical predictions are consistent with the available evidences, which provide an atomistic understanding on underlying mechanism of interface effect in epitaxial nanostructures. Thus, it will be helpful for opening up to tailor physical-chemical properties of the epitaxial nanostructures to the desired specifications

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Surface Energy of Nanostructural Materials with Negative Curvature and Related Size Effects

Cited by 235 publications

References 216 publications

Exploring surface science and restructuring in reactive atmospheres of colloidally prepared bimetallic CuNi and CuCo nanoparticles on SiO2in situ using ambient pressure X-ray photoelectron spectroscopy

Exploring surface science and restructuring in reactive atmospheres of colloidally prepared bimetallic CuNi and CuCo nanoparticles on SiO2in situ using ambient pressure X-ray photoelectron spectroscopy

Elastic Theory of Nanomaterials Based on Surface-Energy Density

Interface relaxation and band gap shift in epitaxial layers

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