On the determination of a lattice contraction in very small silver particles

Wasserman, Harvey J.; Vermaak, J. S.

doi:10.1016/0039-6028(70)90031-2

Cited by 220 publications

(108 citation statements)

References 10 publications

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“…5) More recently, it has been used to observe the change in lattice parameter of nanopowders by Mittemeijer et al 6) The samples were prepared as small nanocrystalline powders and progressively annealed to higher temperatures in a automated system. On each annealing cycle, the particle diameter D ¼ 2R is given by the width of its in situ X-ray powder diffraction, while the lattice constant is given by the peak position.…”

Section: Structure Of Nanoparticlesmentioning

confidence: 99%

Nanoparticle Structure by Coherent X-ray Diffraction

Robinson

2013

J. Phys. Soc. Jpn.

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This review examines the physical reasons why nanoparticles differ in structure from the bulk. Certain simple properties of nanoparticles are explained through these structural differences. A powerful method of measuring the three dimensional structure of nanoparticles, Coherent X-ray diffraction (CXD), is introduced. A key experiment is described that uses CXD to study the redistribution of strains on the surface of a Au nanocrystal. Some future perspectives are discussed in conclusion.

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Section: Structure Of Nanoparticlesmentioning

confidence: 99%

Nanoparticle Structure by Coherent X-ray Diffraction

Robinson

2013

J. Phys. Soc. Jpn.

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“…Figure 4 gives plots of the critical thickness for epitaxy as a function of the magnitude of the misfit strain. The parameters g and ao were calculated using Equations (26) and (27) and employing typical values for metals and semiconductors for the shear constants and the Burgers vector. The difference between the surface stress and surface free energy was taken to be f -7 = 2 J/m 2.…”

Section: Thermodynamics Of Epitaxymentioning

confidence: 99%

Surface and interface stress effects in thin films

Cammarata

1994

Progress in Surface Science

882

414

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Surface and interface stresses in solids are defined and their role in the thermodynamics of solids is presented. A discussion concerning the physical meaning of these quantities is given, along with a review of selected theoretical calculations and experimental measurements. It is shown that for a solid phase with one or more of its dimensions smaller than about 10 nm, the surface and interface stresses can be principal factors in determining the equilibrium structure and behavior of the solid. In particular, the effects of surface and interface stresses on thin films are reviewed along with the related topic of surface reconstructions in metals.

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“…[43][44][45] All the theoretical predictions agree well with the experimental and numerical results. [3][4][5]7,[46][47][48][49] In the present paper, the resonant vibration of both fixed-fixed nanowires and cantilevered ones is investigated with the new developed elastic theory for nanomaterials and theoretical predictions are further compared with the existing numerical results. Geometrical factors governing the size dependent characteristics of resonant frequency are also discussed, which could provide a theoretical guidance for the design of nanowire resonators and sensors in NEMs.…”

Section: Introductionmentioning

confidence: 99%

Surface effect on resonant properties of nanowires predicted by an elastic theory for nanomaterials

Yao

Chen

2015

Journal of Applied Physics

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Articles you may be interested inA recently developed continuum theory considering surface effect in nanomaterials is adopted to investigate the resonant properties of nanowires with different boundary conditions in the present paper. The main feature of the adopted theory is that the surface effect in nanomaterials is characterized by the surface energy density of the corresponding bulk materials and the surface relaxation parameter in nanoscale. Based on a fixed-fixed beam model and a cantilever one, the governing equation of resonant frequency for corresponding nanowires is obtained. Numerical calculation of the fundamental resonant frequency is carried out, the result of which is well consistent with the existing numerical ones. Comparing to the result predicted by the conventionally structural dynamics, the resonant frequency of a fixed-fixed nanowire is improved, while that of a cantilever nanowire is weakened due to the surface effect. Both a decreasing characteristic size (height or diameter) and an increasing aspect ratio could further enhance the varying trend of resonant properties for both kinds of nanowires. The present result should be helpful for the design of nano-devices and nanostructures related to nanowires. V C 2015 AIP Publishing LLC.

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On the determination of a lattice contraction in very small silver particles

Cited by 220 publications

References 10 publications

Nanoparticle Structure by Coherent X-ray Diffraction

Nanoparticle Structure by Coherent X-ray Diffraction

Surface and interface stress effects in thin films

Surface effect on resonant properties of nanowires predicted by an elastic theory for nanomaterials

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