Geometrical analysis of near polyhedral shapes with round edges in small crystalline particles or precipitates

Onaka, Susumu

doi:10.1007/s10853-007-2439-3

Cited by 9 publications

(6 citation statements)

References 13 publications

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“…The sharp peaks at 28.5°, 47° and 56° correspond to the (111), ( 220) and (311) crystal planes of crystalline silicon, and the three higher order peaks at 69° (400), 76.5° (331) and 88° (422) are also clearly visible. with a shape ranging from an octahedron to a truncated octahedron 13 .…”

Section: Resultsmentioning

confidence: 99%

Hot Wire and Spark Pyrolysis as Simple New Routes to Silicon Nanoparticle Synthesis

Scriba

Britton

Härting

2012

Nanostructured Materials and Nanotechnology VI

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Monocrystalline silicon nanoparticles with a mean diameter of between 30 and 40 nm have been synthesised by hot wire thermal catalytic and spark pyrolysis at a pressure of 40 and 80 mbar respectively. For the production a mixture of the precursor gases, silane and diborane or silane and phosphine were used. While hot wire pyrolysis always results in multifaceted particles, those produced by spark pyrolysis are spherical. Electrical resistance measurements of compressed powders showed that boron doped silicon powders have a much higher conductivity than those doped with phosphorus. TEM and XPS analysis reveals that the difference in electrical resistivity between boron an phosphorus doped particles can be attributed to phosphorus dopants being located at the surface of the particles where an oxide layer is also observed. In contrast, boron doped particles are far less oxidised and the dopant atoms can be found in the core of the particle. The results demonstrate that hot wire and spark pyrolysis offer a new simple route to the production of monocrystalline doped silicon nanoparticles suitable for printed electrical devices.

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Section: Resultsmentioning

confidence: 99%

Hot Wire and Spark Pyrolysis as Simple New Routes to Silicon Nanoparticle Synthesis

Scriba

Britton

Härting

2012

Nanostructured Materials and Nanotechnology VI

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“…Superspheres have been used to discuss the shapes of small crystalline particles and precipitates [2,3,5,8,9]. The planes of crystal facets are indicated by their Miller indices.…”

Section: {111} Regular-octahedral and {110} Rhombic-dodecahedral Supementioning

confidence: 99%

“…The size dependence of the precipitate's equilibrium shape determines the shape transitions [2,3]. When we discuss such physical phenomenon, it is convenient to use simple equations that can approximate the precipitate shapes [2][3][4][5]. In the present study, we discuss a simple equation that gives shapes intermediate between a sphere and various polyhedra.…”

Section: Introductionmentioning

confidence: 99%

Superspheres: Intermediate Shapes between Spheres and Polyhedra

Onaka

2012

Symmetry

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Abstract:Using an x-y-z coordinate system, the equations of the superspheres have been extended to describe intermediate shapes between a sphere and various convex polyhedra. Near-polyhedral shapes composed of {100}, {111} and {110} surfaces with round edges are treated in the present study, where {100}, {111} and {110} are the Miller indices of crystals with cubic structures. The three parameters p, a and b are included to describe the {100}-{111}-{110} near-polyhedral shapes, where p describes the degree to which the shape is a polyhedron and a and b determine the ratios of the {100}, {111} and {110} surfaces.

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“…Along with the equivalent inclusion idea becoming a cornerstone of micromechanics of composites (Mura, 1987;Nemat-Nasser and Hori, 1999;Asaro and Lubarda, 2006), to verify or falsify Eshelby's conjecture became crucial and urgent in many subjects, and brought out a great deal of works, among which various non-ellipsoidal inclusions drew tremendous interest of researchers (Mura et al, 1994;Rodin, 1996;Markenscoff, 1998a, b;Lubarda and Markenscoff, 1998;Ru, 1999;Zou et al, 2010). Physically, the real geometries of inclusions are usually non-ellipsoidal (Onaka et al, 2002a;Onaka, 2008;Miyazawa et al, 2012), which is another impetus of studying non-ellipsoidal inclusion problems.…”

Section: Introductionmentioning

confidence: 99%

Exterior elastic fields of non-elliptical inclusions characterized by Laurent polynomials

Lee

Zou

2016

European Journal of Mechanics - A/Solids

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In this paper, a new method to analytically carry out the exterior elastic fields of a class of non-elliptical inclusions, i.e., those characterized by Laurent polynomials, is developed. Two complex variable fields, which exactly characterize the Eshelby's tensor, are explicitly achieved for the hypocycloidal and the quasi-parallelogram inclusions. Numerical examples show that the exterior fields near the inclusion are dominated by the boundary shape, but the fields far away from the inclusion tend to be convergent and can be well approximated by those of its equivalent circular/elliptical inclusion. These solutions are firstly reported, and largely make up for the deficiency in the list of the analytical results of non-elliptical inclusions in 2D isotropic elasticity.

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Geometrical analysis of near polyhedral shapes with round edges in small crystalline particles or precipitates

Cited by 9 publications

References 13 publications

Hot Wire and Spark Pyrolysis as Simple New Routes to Silicon Nanoparticle Synthesis

Hot Wire and Spark Pyrolysis as Simple New Routes to Silicon Nanoparticle Synthesis

Superspheres: Intermediate Shapes between Spheres and Polyhedra

Exterior elastic fields of non-elliptical inclusions characterized by Laurent polynomials

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