On the fivefold cluster symmetry

Kostov, Ruslan I.; Kostov, Ivan

doi:10.1002/crat.2170230804

Cited by 5 publications

(4 citation statements)

References 14 publications

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“…"Notches" appear along the PSP edges (Figs.2.a,c) [HOFMEISTER 1984;MARKS 1984;SAITO 1979;. The growth of the notches implies the development of star-shaped particles [GALLIGAN 1972-1;GAO 1988;IIJIMA 1985-2;KOSTOV;WALLENBERG 1985;WENTORF(jr)]. The crystallographic analysis shows that the external faces of DSPs and ISPs are the close-packed {111} planes of the f.c.c.…”

Section: Experimantal Resultsmentioning

confidence: 99%

“…This process is certainly caused by the presence of shear stresses in the planes perpendicular to the film surface. The well-known model of PSP formation from a small atomic cluster of the initially pentagonal structure [BURTON;HOARE 1972;KOSTOV] is shown in (Fig.13.c). A DSP can be formed from a 7-atom embryo or, if Verfelmeier's series is realized (tetrahedron-decahedronicosahedron, i.e.…”

Section: Disclination Models Of Inhomogeneous Deformationsmentioning

confidence: 99%

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Pentagonal Symmetry and Disclinations in Small Particles

Gryaznov

Heydenreich

Kaprelov

et al. 1999

Cryst. Res. Technol.

160

135

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A comprehensive review is given on experimental studies of small particles with fivefold symmetry accompanied by an in-depth theoretical description of their characteristics and computer modeling. The cases of uniform and nonuniform deformations (disclination model), stability and relaxation of elastic stresses in pentagonal particles and needle-like crystals, models of their formation are discussed.

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Section: Experimantal Resultsmentioning

confidence: 99%

Section: Disclination Models Of Inhomogeneous Deformationsmentioning

confidence: 99%

Pentagonal Symmetry and Disclinations in Small Particles

Gryaznov

Heydenreich

Kaprelov

et al. 1999

Cryst. Res. Technol.

160

135

View full text Add to dashboard Cite

show abstract

“…Germanium based alloys are extensively studied because of their semiconducting properties and applications in the electronic industry [4][5][6]. Binary Cu-Ge alloys have excellent physical and chemical properties, such as low room-temperature resistance and high thermal stability, which are potentially useful in the optical and electronic devices [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

EFECTS OF CHEMICAL COMPOSITION ON THE MICROSTRUCTURE AND PROPERTIES OF THE CU-Ge-Sb ALLOYS

Gurešić¹,

Đorđević²,

Marković³

et al. 2017

JEPM

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In the current study a ternary Cu-Ge-Sb system has been experimentally assessed. Chemical and phase compositions of the alloy samples from three vertical sections Cu-GeSb, Ge-CuSb and SbCuGe were studied using scanning electron microscopy (SEM) and energy dispersive spectroscopy (EDS) and confirmed by X-ray diffraction analysis (XRD). Hardness of the alloys was measured byBrinell method while hardness of phases was measured using micro Vickers method. Electrical conductivity of the studied alloys was measured using eddy current instrument. Based on experimentally determined values iso-lines of hardness and electrical conductivity for the whole ternary system were calculated using assumed mathematical models.

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“…Sure enough, the interwoven patterns characteristic of quasicrystalline organization of nested self-similar structures, cannot be found in conventional lattices with long range translational symmetry of allowed symmetry elements [Coddens (1991); Kostov and Kostov (2006)]. Indeed, their physical properties in unusual combinations seem to have important implications for biological processes.…”

Section: Quasicrystalline Order-a Brief Introductionmentioning

confidence: 99%

Can magnetism-assisted quasiperiodic structures in Russell-FeS `bubbles' offer a quantum coherent origin of life?

Mitra--Delmotte,

Mitra

2007

Preprint

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This paper seeks to expand the scope of the alkaline seepage site hydrothermal mound scenario of Russell et al, by appealing to its wider canvas for hypothesizing self-assembly of gregite clusters via interplay of forces within the gel phase of FeS membranes : directed heat transport a la Rayleigh-Benard convection for dissociation, vs oriented attachment ( small clusters) and magnetic forces ( large clusters) for association, the latter assisted by magnetic mound constituents. The directed movement of tiny clusters through cluster layers are reminiscent of processes like budding, molecular motors, pre-RNA world on the lines of Cairns Smith's hypothesis, and optical polarity. Higher rate of (soft ) multinucleate formation vs growth rate of (rigid ) microcrystals, correlates with icosahedral (forbidden crystallographically ! ) framboidal morphology. This pattern indicates a link to phylotaxis, thus reinforcing the quasi-periodicity connection which can provide a natural access to features like surface limit, anomalous transport and low thermal conductivity, while facilitating diffusion through clusters. And magnetism offers a hierarchy of features : primordial multicellularity; phase correlations of assembled molecules; overcoming thermal decoherence. These dynamical nested structures offer possibilities for iterative computations, adaptive learning, and coherent quantum searches. The link between enzymatic FeS clusters and the Hadean ocean floor is seen as part of a larger conceptual framework uncovering a role for Magnetism and the Origin of Life.

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On the fivefold cluster symmetry

Cited by 5 publications

References 14 publications

Pentagonal Symmetry and Disclinations in Small Particles

Pentagonal Symmetry and Disclinations in Small Particles

EFECTS OF CHEMICAL COMPOSITION ON THE MICROSTRUCTURE AND PROPERTIES OF THE CU-Ge-Sb ALLOYS

Can magnetism-assisted quasiperiodic structures in Russell-FeS `bubbles' offer a quantum coherent origin of life?

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