Fragmentariness and Metamorphoses of Nanostructures

Shevchenko, V. Ya.; Madison, A. E.; Shudegov, V. E.

doi:10.1023/b:gpac.0000007935.93409.5d

Cited by 8 publications

(13 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is clear that only the manifold concept can underlie the mathematical formalism for describing nanostructures and is completely consistent with the concepts of fragmentariness, structural inhomogeneity [1,2], and local curvature [14,17] and the principle of assembling a complex structure from simple building blocks [15]. In the general case, an individual structural complex corresponds to a local coordinate neighborhood U i of the bundle base and the complete closed set of geometrical structural complexes is determined by the fiber (structural group) of the relevant fiber bundle.…”

Section: The Local Approach and Nanostructures With Coherent Boundariesmentioning

confidence: 80%

“…Let us now demonstrate that all the sought geometrical structural complexes can be determined using the Möbius-Kantor configuration 8 3 , which, in turn, is embedded in the finite projective plane PG (2,3). In [21][22][23], it was shown that the 16-vertex structural complex 2Z8 (the aggregate composed of two Bernal polyhedra Z8 joined together by the twofold axis) is determined by the 8 3 subconfiguration when two additional bonds 1'-6 and 6'-7 are formed (Fig.…”

Section: The Model Of a Nanostructure With Coherent Boundaries Comprimentioning

confidence: 97%

“…

In particular, reasoning from the results of neutron diffraction and X-ray diffraction investigations of ZrO 2 nanoparticles, Burkhanov et al [3] proposed a twophase model allowing for the difference between the central and peripheral regions of a particle and their pseudomorphic conjugation.

…”

mentioning

confidence: 99%

“…In our recent works [1,2], we analyzed the structural diversity of nanoparticles and the fragmentariness of their structure and formulated the statement that the structural inhomogeneity is a fundamental property of the nanostate. This statement was experimentally confirmed for a number of materials.…”

mentioning

confidence: 99%

“…Geometrical structural complexes are determined by the subtables of the incidence table of the finite projective plane PG(2,2). The subtables differ only in the 3'-3 and 7'-5 incidence signs.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Nanostructures with coherent boundaries and the local approach

et al. 2004

Self Cite

View full text Add to dashboard Cite

In our recent works [1,2], we analyzed the structural diversity of nanoparticles and the fragmentariness of their structure and formulated the statement that the structural inhomogeneity is a fundamental property of the nanostate. This statement was experimentally confirmed for a number of materials.In particular, reasoning from the results of neutron diffraction and X-ray diffraction investigations of ZrO 2 nanoparticles, Burkhanov et al. [3] proposed a twophase model allowing for the difference between the central and peripheral regions of a particle and their pseudomorphic conjugation. Palosz et al. [4] also used a two-phase model to interpret their diffraction data for SiC, GaN, and diamond nanoparticles. The concept of an "apparent lattice parameter" clearly indicates strong deviations of the position of Bragg peaks (especially at small angles) from the predicted crystallographic positions. The inference was made that a unique lattice parameter for microcrystallites cannot be determined by standard powder diffractometry. The behavior of nanocrystalline powders under pressure cannot be satisfactorily explained in terms of a unique compressibility coefficient. This also counts in favor of the twophase structure of nanoparticles.Earlier [5][6][7], structurally inhomogeneous zirconia nanoparticles that consist of interpenetrating fragments with different symmetries and are characterized by the orientational relationships "incompatible" from the standpoint of classical crystallography were experimentally found for the first time. Regularly oriented fragments with different symmetries, for which the requirements of classical crystallography are not satisfied (the interface need not be a plane, so that the orientational relationships do not necessarily correspond to the Miller indices and the fragments themselves need not be crystals), were referred to as centaurs [5]. The boundaries of fragments are coherent, and, therefore, these particles can be defined as nanostructures with coherent boundaries.Alok Singh and Tsai [8] revealed that the cubic and icosahedral phases in metal alloys can intergrow in a regular oriented manner. It was found that the threefold axes of the cubic phase coincide in direction with the twofold axes of the icosahedral phase and the cubic twofold axes are almost parallel to the icosahedral fivefold axes. The interface is not a plane, and the orientational relationships do not correspond to rational ratios of the corresponding Miller indices and are inconsistent with the assumption that this cubic phase is a quasicrystalline approximant of the icosahedral phase.The structural inhomogeneity of nanoparticles has become evident owing to widespread use of high-resolution electron microscopy [7,9]. Of special interest are materials prepared by ultrafast solidification, because extreme conditions often lead to the formation of vitreous or unstable crystalline structures and quasicrystals. Specifically, it has been demonstrated that fragments of cubic crystals can intergrow to form a hierarchic st...

show abstract

Section: The Local Approach and Nanostructures With Coherent Boundariesmentioning

confidence: 80%

Section: The Model Of a Nanostructure With Coherent Boundaries Comprimentioning

confidence: 97%

“…

…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Nanostructures with coherent boundaries and the local approach

et al. 2004

Self Cite

View full text Add to dashboard Cite

show abstract

Physico-chemical Analysis of Ceramic Material Systems: From Macro- to Nanostate

Shevchenko

2017

Hot Topics in Thermal Analysis and Calorimetry

View full text Add to dashboard Cite

From ancient inorganic chemistry and alchemy of ceramics to modern nanotechnology

Shevchenko

2005

Glass Phys Chem

Self Cite

View full text Add to dashboard Cite

The historical aspects of ceramics production, as well as the modern approaches to the technical side of ceramics production, especially sol-gel technology as the path to modern nanotechnologies, are discussed. It is pointed out that the most essential significance of the nanostate for the applied sciences lies in the possibility of merging the inorganic, organic, and biological worlds, thus creating a prodigious number of new materials.

show abstract

Fragmentariness and Metamorphoses of Nanostructures

Cited by 8 publications

References 12 publications

Nanostructures with coherent boundaries and the local approach

Nanostructures with coherent boundaries and the local approach

Physico-chemical Analysis of Ceramic Material Systems: From Macro- to Nanostate

From ancient inorganic chemistry and alchemy of ceramics to modern nanotechnology

Contact Info

Product

Resources

About