MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM

MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM

In this paper clusters of the FCC structure with short-range interaction forces between atoms have been considered. The interaction only between nearest neighbors has been taken into account. Algebraic relations for the number of atoms and the number of bonds between neighbors in the cluster have be...

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Main Authors: V.S. Myasnichenko, N.Yu. Sdobnyakov
Format: Article
Language:Russian
Published: Tver State University 2014-11-01
Series:Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
Subjects:
FCC lattice
cluster
coordination number
surface.
Online Access:http://physchemaspects.ru/archives/2014/%D0%A4%D0%A5-2014.%20%D0%9C%D1%8F%D1%81%D0%BD%D0%B8%D1%87%D0%B5%D0%BD%D0%BA%D0%BE%20%D0%92%D0%A1.pdf
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spelling doaj-2f943809b8244537b517225c3b59e1262020-11-25T02:09:30ZrusTver State UniversityФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов2226-44422658-43602014-11-016267272MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOMV.S. Myasnichenko0N.Yu. Sdobnyakov1Joint Stock Company “Scientific production company “Katren”Tver State UniversityIn this paper clusters of the FCC structure with short-range interaction forces between atoms have been considered. The interaction only between nearest neighbors has been taken into account. Algebraic relations for the number of atoms and the number of bonds between neighbors in the cluster have been obtained, it has been allowed to evaluate the surface energy of the cluster in an analytical form.http://physchemaspects.ru/archives/2014/%D0%A4%D0%A5-2014.%20%D0%9C%D1%8F%D1%81%D0%BD%D0%B8%D1%87%D0%B5%D0%BD%D0%BA%D0%BE%20%D0%92%D0%A1.pdfFCC latticeclustercoordination numbersurface.
collection DOAJ
language Russian
format Article
sources DOAJ
author V.S. Myasnichenko
N.Yu. Sdobnyakov
spellingShingle V.S. Myasnichenko
N.Yu. Sdobnyakov
MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
FCC lattice
cluster
coordination number
surface.
author_facet V.S. Myasnichenko
N.Yu. Sdobnyakov
author_sort V.S. Myasnichenko
title MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM
title_short MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM
title_full MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM
title_fullStr MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM
title_full_unstemmed MATHEMATICAL MODEL OF DIRECTED GROWTH OF THE REGULAR FCC CLUSTER WITH A CENTRAL ATOM
title_sort mathematical model of directed growth of the regular fcc cluster with a central atom
publisher Tver State University
series Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
issn 2226-4442
2658-4360
publishDate 2014-11-01
description In this paper clusters of the FCC structure with short-range interaction forces between atoms have been considered. The interaction only between nearest neighbors has been taken into account. Algebraic relations for the number of atoms and the number of bonds between neighbors in the cluster have been obtained, it has been allowed to evaluate the surface energy of the cluster in an analytical form.
topic FCC lattice
cluster
coordination number
surface.
url http://physchemaspects.ru/archives/2014/%D0%A4%D0%A5-2014.%20%D0%9C%D1%8F%D1%81%D0%BD%D0%B8%D1%87%D0%B5%D0%BD%D0%BA%D0%BE%20%D0%92%D0%A1.pdf
work_keys_str_mv AT vsmyasnichenko mathematicalmodelofdirectedgrowthoftheregularfccclusterwithacentralatom
AT nyusdobnyakov mathematicalmodelofdirectedgrowthoftheregularfccclusterwithacentralatom
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