Modified participation ratio approach: application to edge-localized states in carbon nanoclusters

For nanoclusters and solids, the localization analysis of one-electron states, or MOs (molecular orbitals), is frequently provided by using the so-called participation ratio (PR) index. To this conventional PR approach, we add for each MO the new index σIPR which we define as an average fluctuation...

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Бібліографічні деталі
Дата:2016
Автор: Luzanov, A.V.
Формат: Стаття
Мова:English
Опубліковано: НТК «Інститут монокристалів» НАН України 2016
Назва видання:Functional Materials
Теми:
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/121512
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Modified participation ratio approach: application to edge-localized states in carbon nanoclusters / A.V. Luzanov // Functional Materials. — 2016. — Т. 23, № 4. — С. 599-611. — Бібліогр.: 57 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1215122017-06-15T03:04:10Z Modified participation ratio approach: application to edge-localized states in carbon nanoclusters Luzanov, A.V. Modeling and simulation For nanoclusters and solids, the localization analysis of one-electron states, or MOs (molecular orbitals), is frequently provided by using the so-called participation ratio (PR) index. To this conventional PR approach, we add for each MO the new index σIPR which we define as an average fluctuation of the inverse PR (IPR) value. Typically, the σIPR index displays a significant sensitivity to any spatial irregularity in the MO distribution over molecule. We apply the thus extended PR analysis to the graphene nanoflakes of different types, and small nanodiamond structures including NV color centers as well. The proposed scheme has the virtue of being quite simple, and in case of huge clusters it allows one to rapidly detect orbitals with unusual non-uniform distribution. In particular, the localization of edge states in graphene molecules is examined in this way. 2016 Article Modified participation ratio approach: application to edge-localized states in carbon nanoclusters / A.V. Luzanov // Functional Materials. — 2016. — Т. 23, № 4. — С. 599-611. — Бібліогр.: 57 назв. — англ. 1027-5495 DOI: doi.org/10.15407/fm23.04.599 http://dspace.nbuv.gov.ua/handle/123456789/121512 en Functional Materials НТК «Інститут монокристалів» НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Modeling and simulation
Modeling and simulation
spellingShingle Modeling and simulation
Modeling and simulation
Luzanov, A.V.
Modified participation ratio approach: application to edge-localized states in carbon nanoclusters
Functional Materials
description For nanoclusters and solids, the localization analysis of one-electron states, or MOs (molecular orbitals), is frequently provided by using the so-called participation ratio (PR) index. To this conventional PR approach, we add for each MO the new index σIPR which we define as an average fluctuation of the inverse PR (IPR) value. Typically, the σIPR index displays a significant sensitivity to any spatial irregularity in the MO distribution over molecule. We apply the thus extended PR analysis to the graphene nanoflakes of different types, and small nanodiamond structures including NV color centers as well. The proposed scheme has the virtue of being quite simple, and in case of huge clusters it allows one to rapidly detect orbitals with unusual non-uniform distribution. In particular, the localization of edge states in graphene molecules is examined in this way.
format Article
author Luzanov, A.V.
author_facet Luzanov, A.V.
author_sort Luzanov, A.V.
title Modified participation ratio approach: application to edge-localized states in carbon nanoclusters
title_short Modified participation ratio approach: application to edge-localized states in carbon nanoclusters
title_full Modified participation ratio approach: application to edge-localized states in carbon nanoclusters
title_fullStr Modified participation ratio approach: application to edge-localized states in carbon nanoclusters
title_full_unstemmed Modified participation ratio approach: application to edge-localized states in carbon nanoclusters
title_sort modified participation ratio approach: application to edge-localized states in carbon nanoclusters
publisher НТК «Інститут монокристалів» НАН України
publishDate 2016
topic_facet Modeling and simulation
url http://dspace.nbuv.gov.ua/handle/123456789/121512
citation_txt Modified participation ratio approach: application to edge-localized states in carbon nanoclusters / A.V. Luzanov // Functional Materials. — 2016. — Т. 23, № 4. — С. 599-611. — Бібліогр.: 57 назв. — англ.
series Functional Materials
work_keys_str_mv AT luzanovav modifiedparticipationratioapproachapplicationtoedgelocalizedstatesincarbonnanoclusters
first_indexed 2023-10-18T20:39:44Z
last_indexed 2023-10-18T20:39:44Z
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