2003
DOI: 10.1023/b:gpac.0000007934.93203.f3
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The Structural Diversity of the Nanoworld

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Cited by 26 publications
(23 citation statements)
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“…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%
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“…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%
“…
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.

…”
mentioning
confidence: 99%
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“…In such a case only Na + and K + ions participate in the chemical process. Ions are on the glass surface in no equilibrium state and their activation energy of leaching is 7 times (for K + ) and 13 times (for Na + ) less compared with activation energy of these ions diffusion in glass volume [17].…”
Section: Resultsmentioning
confidence: 99%
“…In the recent years, on the basis of the ideas developed above, the Saint Petersburg group at ISC RAS in cooperation with A. Mackay has succeeded in obtaining results, the most important of which are the following [5][6][7][8][9][10][11][12][13][14].…”
Section: Prd Structurementioning
confidence: 99%