Orientation variation of surface strain

Harder, Ross; Pfeifer, M. A.; Williams, Garth J.; Vartaniants, Ivan; Robinson, Ian

doi:10.1103/physrevb.76.115425

Cited by 69 publications

(53 citation statements)

References 28 publications

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“…3 shows the external surface of a free standing 300 nm wide, 150 nm tall Au nanocrystal, coloured according to its local strain, the measured component of the distortions of its lattice from an ideal crystal lattice. 29,32) The flattened shape of the crystal in Fig. 3 can be understood because the time to reach equilibrium is prohibitively long and the true equilibrium crystal shape is never practically reached.…”

Section: Structure Of Larger 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 Larger Nanoparticlesmentioning

confidence: 99%

Nanoparticle Structure by Coherent X-ray Diffraction

Robinson

2013

J. Phys. Soc. Jpn.

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“…At the same time, correction due to refraction removed a major part of the gradient in the phase distribution [see Figs which were estimated in Ref. [35] to be about 1.15 rad after correction for refraction effects.…”

Section: Simulations For a Pb Particle Of A Hemispherical Shapementioning

confidence: 90%

“…In order to estimate the contribution of the dynamical effects for a practical case, we considered experimental parameters described in Refs. [4,35]. In that experiment 3D reconstruction of the Bragg CXDI data was used to characterize the strain distribution in a lead nanocrystal of a hemispherical shape of 0.75 μm in diameter.…”

Section: Simulations For a Pb Particle Of A Hemispherical Shapementioning

confidence: 99%

“…A kinematical approach was previously presented in Ref. [35] where the refraction phase shift was calculated accordingly to the optical path for each position in the crystal and subtracted from the results of reconstruction. In this paper we provide detailed analytical consideration based on dynamical theory and demonstrate our method of correction on simulations.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical effects in Bragg coherent x-ray diffraction imaging of finite crystals

et al. 2017

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We present simulations of Bragg coherent x-ray diffractive imaging (CXDI) data from finite crystals in the frame of the dynamical theory of x-ray diffraction. The developed approach is based on a numerical solution of modified Takagi-Taupin equations and can be applied for modeling of a broad range of x-ray diffraction experiments with finite three-dimensional crystals of arbitrary shape also in the presence of strain. We performed simulations for nanocrystals of a cubic and hemispherical shape of different sizes and provided a detailed analysis of artifacts in the Bragg CXDI reconstructions introduced by the dynamical diffraction. Based on our theoretical analysis we developed an analytical procedure to treat effects of refraction and absorption in the reconstruction. Our results elucidate limitations for the kinematical approach in the Bragg CXDI and suggest a natural criterion to distinguish between kinematical and dynamical cases in coherent x-ray diffraction on a finite crystal.

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“…[7][8][9] However, strain analysis by CDI of individual nano-object is still a challenging task. [10] The aim of this work was to measure the average and individual properties of GaAs NRs grown in periodic arrays by catalyst-free SA-MOVPE throughout a prepatterned SiN x mask onto GaAs[111]B surfaces.…”

Section: Semiconductor Nanorods (Nrs) Grown Bymentioning

confidence: 99%

X-Ray Diffraction from Periodically Patterned GaAs Nanorods Grown onto GaAs[111]B

Davydok

Biermanns

Pietsch

et al. 2009

Metall Mater Trans A

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We present a high-resolution X-ray diffraction pattern of periodic GaAs nanorod (NR) ensembles and individual GaAs NRs grown catalyst-free throughout a prepatterned amorphous SiN x mask onto GaAs[111]B surfaces. The experiments were performed at a home laboratory using synchrotron radiation in combination with a micron-sized beam prepared by compound refractive lenses. The structural properties were probed by measuring RSMs (q x , q z ) in the vicinity of GaAs (111) and (222) reflections. Besides the GaAs substrate peak, we found a second peak referring to NRs with lattice mismatch of 0.23 pct with respect to the substrate, probably caused by structural defects. The lateral periodicity of NRs was probed by q x scans, and the NR height obtained from the width of the diffraction curve along q z . Grazing-incidence in-plane diffraction revealed the appearance of small crystallites of cubic c-Si 3 N 4 caused by recrystallization of SiN x during NR growth. Whereas measurements at the home diffractometer provided average structure parameters, the micron-sized X-ray beam experiment was used to probe the parameters at individual NRs.

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Orientation variation of surface strain

Cited by 69 publications

References 28 publications

Nanoparticle Structure by Coherent X-ray Diffraction

Nanoparticle Structure by Coherent X-ray Diffraction

Dynamical effects in Bragg coherent x-ray diffraction imaging of finite crystals

X-Ray Diffraction from Periodically Patterned GaAs Nanorods Grown onto GaAs[111]B

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