Symmetry of life in crystals

The results of the study of quasicrystals matrix models are presented, which confirm the hypothesis that each quasicrystal has corresponding quasiorthogonal matrix associated with it, the golden ratio matrix meets the D.Shechtman quasicrystal. It is concluded that for the ordered structures consisti...

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Veröffentlicht in:Functional Materials
Datum:2016
Hauptverfasser: Balonin, N.A., Suzdal, V.S.
Format: Artikel
Sprache:English
Veröffentlicht: НТК «Інститут монокристалів» НАН України 2016
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/121511
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Symmetry of life in crystals / N.A. Balonin, V.S. Suzdal // Functional Materials. — 2016. — Т. 23, № 4. — С. 592-598. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-121511
record_format dspace
spelling Balonin, N.A.
Suzdal, V.S.
2017-06-14T14:46:11Z
2017-06-14T14:46:11Z
2016
Symmetry of life in crystals / N.A. Balonin, V.S. Suzdal // Functional Materials. — 2016. — Т. 23, № 4. — С. 592-598. — Бібліогр.: 11 назв. — англ.
1027-5495
DOI: doi.org/10.15407/fm23.04.592
https://nasplib.isofts.kiev.ua/handle/123456789/121511
The results of the study of quasicrystals matrix models are presented, which confirm the hypothesis that each quasicrystal has corresponding quasiorthogonal matrix associated with it, the golden ratio matrix meets the D.Shechtman quasicrystal. It is concluded that for the ordered structures consisting of two endlessly recurring units, a modular two-level golden ratio matrix may be a model reflecting the structure elements. The main interest here is in the indication of the prospects: both the materials and the matrices can have different structures, and the matrices can be involved in predicting the existence and then in analyzing the materials.
en
НТК «Інститут монокристалів» НАН України
Functional Materials
Modeling and simulation
Symmetry of life in crystals
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Symmetry of life in crystals
spellingShingle Symmetry of life in crystals
Balonin, N.A.
Suzdal, V.S.
Modeling and simulation
title_short Symmetry of life in crystals
title_full Symmetry of life in crystals
title_fullStr Symmetry of life in crystals
title_full_unstemmed Symmetry of life in crystals
title_sort symmetry of life in crystals
author Balonin, N.A.
Suzdal, V.S.
author_facet Balonin, N.A.
Suzdal, V.S.
topic Modeling and simulation
topic_facet Modeling and simulation
publishDate 2016
language English
container_title Functional Materials
publisher НТК «Інститут монокристалів» НАН України
format Article
description The results of the study of quasicrystals matrix models are presented, which confirm the hypothesis that each quasicrystal has corresponding quasiorthogonal matrix associated with it, the golden ratio matrix meets the D.Shechtman quasicrystal. It is concluded that for the ordered structures consisting of two endlessly recurring units, a modular two-level golden ratio matrix may be a model reflecting the structure elements. The main interest here is in the indication of the prospects: both the materials and the matrices can have different structures, and the matrices can be involved in predicting the existence and then in analyzing the materials.
issn 1027-5495
url https://nasplib.isofts.kiev.ua/handle/123456789/121511
citation_txt Symmetry of life in crystals / N.A. Balonin, V.S. Suzdal // Functional Materials. — 2016. — Т. 23, № 4. — С. 592-598. — Бібліогр.: 11 назв. — англ.
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last_indexed 2025-12-07T18:41:05Z
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