[C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES

This paper discusses the substitution isomers on vertices, edges and faces of the [C60] fullerene. The derivation of the isomers based on Polya theorem. Installed formula symmetry Z, generating functions for determining the number of chiral and non-chiral isomers substitution distribution isomers fa...

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Main Authors: V.M. Smolyakov, D.V. Sokolov, D.Yu. Nilov, V.V. Grebeshkov
Format: Article
Language:Russian
Published: Tver State University 2014-11-01
Series:Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
Subjects:
Online Access:http://physchemaspects.ru/archives/2014/%D0%A4%D0%A5-2014.%20%D0%A1%D0%BC%D0%BE%D0%BB%D1%8F%D0%BA%D0%BE%D0%B2%20%D0%92%D0%9C.pdf
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spelling doaj-75009141ff9b401189eac7c33cd3f9482020-11-24T21:23:11ZrusTver State UniversityФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов2226-44422658-43602014-11-016370378[C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACESV.M. Smolyakov0D.V. Sokolov1D.Yu. Nilov2V.V. Grebeshkov3Tver State UniversityTver State UniversityTver State UniversityTver State UniversityThis paper discusses the substitution isomers on vertices, edges and faces of the [C60] fullerene. The derivation of the isomers based on Polya theorem. Installed formula symmetry Z, generating functions for determining the number of chiral and non-chiral isomers substitution distribution isomers families ρ(m), and depending on the number m of seats substitution. By additive scheme calculated thermodynamic properties (ΔfH°298, S°298, C°p298, ΔHsubl, ΔfG°298, lgK298) gaseous [C60]-[C100] -fullerens.http://physchemaspects.ru/archives/2014/%D0%A4%D0%A5-2014.%20%D0%A1%D0%BC%D0%BE%D0%BB%D1%8F%D0%BA%D0%BE%D0%B2%20%D0%92%D0%9C.pdffullerenescounting and ordering of isomers replacement elements and symmetry operationsgenerating functionschiralityachiral
collection DOAJ
language Russian
format Article
sources DOAJ
author V.M. Smolyakov
D.V. Sokolov
D.Yu. Nilov
V.V. Grebeshkov
spellingShingle V.M. Smolyakov
D.V. Sokolov
D.Yu. Nilov
V.V. Grebeshkov
[C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
fullerenes
counting and ordering of isomers replacement elements and symmetry operations
generating functions
chirality
achiral
author_facet V.M. Smolyakov
D.V. Sokolov
D.Yu. Nilov
V.V. Grebeshkov
author_sort V.M. Smolyakov
title [C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES
title_short [C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES
title_full [C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES
title_fullStr [C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES
title_full_unstemmed [C60]- FULLERENE.COUNTING AND ORDERING ISOMER OF SUBSTITUTIONS ON THE TOPS, EDGES, AND FACES
title_sort [c60]- fullerene.counting and ordering isomer of substitutions on the tops, edges, and faces
publisher Tver State University
series Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов
issn 2226-4442
2658-4360
publishDate 2014-11-01
description This paper discusses the substitution isomers on vertices, edges and faces of the [C60] fullerene. The derivation of the isomers based on Polya theorem. Installed formula symmetry Z, generating functions for determining the number of chiral and non-chiral isomers substitution distribution isomers families ρ(m), and depending on the number m of seats substitution. By additive scheme calculated thermodynamic properties (ΔfH°298, S°298, C°p298, ΔHsubl, ΔfG°298, lgK298) gaseous [C60]-[C100] -fullerens.
topic fullerenes
counting and ordering of isomers replacement elements and symmetry operations
generating functions
chirality
achiral
url http://physchemaspects.ru/archives/2014/%D0%A4%D0%A5-2014.%20%D0%A1%D0%BC%D0%BE%D0%BB%D1%8F%D0%BA%D0%BE%D0%B2%20%D0%92%D0%9C.pdf
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AT dvsokolov c60fullerenecountingandorderingisomerofsubstitutionsonthetopsedgesandfaces
AT dyunilov c60fullerenecountingandorderingisomerofsubstitutionsonthetopsedgesandfaces
AT vvgrebeshkov c60fullerenecountingandorderingisomerofsubstitutionsonthetopsedgesandfaces
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