Analysis of low-temperature relaxation resonances in materials containing defects

A theory has been advanced providing an adequate description of thermal-activated relaxation resonances of various physical origins in defect-containing materials. The algorithm has been proposed for processing the temperature spectra of absorption and suscep -tibility defect to determine the relaxa...

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Збережено в:
Бібліографічні деталі
Дата:2004
Автори: Natsik, V.D., Semerenko, Yu.A.
Формат: Стаття
Мова:English
Опубліковано: НТК «Інститут монокристалів» НАН України 2004
Назва видання:Functional Materials
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/138820
Теги: Додати тег
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Analysis of low-temperature relaxation resonances in materials containing defects / V.D. Natsik, Yu.A. Semerenko // Functional Materials. — 2004. — Т. 11, № 2. — С. 327-333. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-138820
record_format dspace
spelling irk-123456789-1388202018-06-20T03:06:40Z Analysis of low-temperature relaxation resonances in materials containing defects Natsik, V.D. Semerenko, Yu.A. A theory has been advanced providing an adequate description of thermal-activated relaxation resonances of various physical origins in defect-containing materials. The algorithm has been proposed for processing the temperature spectra of absorption and suscep -tibility defect to determine the relaxation process activation parameters. Предложена теория, позволяющая адекватно описывать низкотемпературные термически активируемые релаксационные резонансы различной физической природы в материалах с дефектами. Описан алгоритм определения активационных параметров соответствующего процесса, основанный на анализе температурных спектров поглощения и дефекта восприимчивости. Запропоновано тєорію, що дозволяє адекватно описувати релаксаційні резонанси різної фізичної природи у матеріалах з дефектами. Описано метод визначення активаційних параметрів відповідного процесу, що базується на аналізі температурних спектрів поглинання та сприйнятливості. 2004 Article Analysis of low-temperature relaxation resonances in materials containing defects / V.D. Natsik, Yu.A. Semerenko // Functional Materials. — 2004. — Т. 11, № 2. — С. 327-333. — Бібліогр.: 6 назв. — англ. 1027-5495 http://dspace.nbuv.gov.ua/handle/123456789/138820 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
description A theory has been advanced providing an adequate description of thermal-activated relaxation resonances of various physical origins in defect-containing materials. The algorithm has been proposed for processing the temperature spectra of absorption and suscep -tibility defect to determine the relaxation process activation parameters.
format Article
author Natsik, V.D.
Semerenko, Yu.A.
spellingShingle Natsik, V.D.
Semerenko, Yu.A.
Analysis of low-temperature relaxation resonances in materials containing defects
Functional Materials
author_facet Natsik, V.D.
Semerenko, Yu.A.
author_sort Natsik, V.D.
title Analysis of low-temperature relaxation resonances in materials containing defects
title_short Analysis of low-temperature relaxation resonances in materials containing defects
title_full Analysis of low-temperature relaxation resonances in materials containing defects
title_fullStr Analysis of low-temperature relaxation resonances in materials containing defects
title_full_unstemmed Analysis of low-temperature relaxation resonances in materials containing defects
title_sort analysis of low-temperature relaxation resonances in materials containing defects
publisher НТК «Інститут монокристалів» НАН України
publishDate 2004
url http://dspace.nbuv.gov.ua/handle/123456789/138820
citation_txt Analysis of low-temperature relaxation resonances in materials containing defects / V.D. Natsik, Yu.A. Semerenko // Functional Materials. — 2004. — Т. 11, № 2. — С. 327-333. — Бібліогр.: 6 назв. — англ.
series Functional Materials
work_keys_str_mv AT natsikvd analysisoflowtemperaturerelaxationresonancesinmaterialscontainingdefects
AT semerenkoyua analysisoflowtemperaturerelaxationresonancesinmaterialscontainingdefects
first_indexed 2025-07-10T06:37:11Z
last_indexed 2025-07-10T06:37:11Z
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ZLGWK� ZKHUH� ωK(+�−) PHDQVWKH�IUHTXHQF\�YDOXHV�ZKHUH� µω (�)(7�ωK(+�−)�τ��8��'�ν) = = (� ⁄ �) ⋅ PD[ µω (�)(7�ω�τ��8��'�ν) = = (� ⁄ �) ⋅ µω (�)(7�ωS�τ��8��'�ν)�$W�Gω ���WR���DQG�θω ��⋅���� WR��⋅�����WKH�UHOD[DWLRQ�UHVRQDQFH�SDUDPHWHUV�DUH�UH �ODWHG� WR� WKRVH� RI� HOHPHQWDU\� UHOD[DWRUV� E\WKH�IROORZLQJ�UHODWLRQV� ΩS = � + &ω (ν) ⋅ (GωOQθω)��&ω (ν) = ν − ��� RU ωS = ωS(�) ⋅    � + &ω (ν) ⋅ �'�N�7�   �� ��� ΩK = ΩK(�) ⋅   � + %ω ( ν) ⋅ (GωOQθω)�  � %ω (ν) = � + ν�� RU ωK = ωK(�) ⋅ (� + %ω (ν) ⋅ �'�N�7�)�� ��� ZKHUH� ΩK(�) = �√� LV� WKH� 'HE\H� DEVRUSWLRQSHDN�ZLGWK�7KH�YDOXHV�ν ����DQVZHU�WR�WKH�UHVRQDQFHVKLIW� WRZDUGV� ORZHU� IUHTXHQFLHV� �ωS < ωS(�)�ZKLOH�ν !����WR�WKDW�WRZDUGV�KLJKHU�IUHTXHQ �FLHV��ωS > ωS(�)��7KH� DFWLYDWLRQ� HQHUJ\� 8� DQG� LWV� GLVSHU�VLRQ�' FDQ�EH�HVWLPDWHG�SURFHHGLQJ�IURP�WKHNQRZQ�WHPSHUDWXUH�YDOXH�7 DQG�H[SHULPHQWDOYDOXHV�RI�WKH�UHVRQDQFH�ORFDOL]DWLRQ�IUHTXHQF\ ωS DQG�WKH�DEVRUSWLRQ�SHDN�ZLGWK�ωK� 8� = N7 ⋅ OQ     �√� (%ω (ν) − &ω (ν) τ�(�√� ⋅ %ω (ν) ⋅ ωS − ωK)      � ' = N7 ⋅ √�√� ⋅ ωS − ωK�  &ω (ν) ⋅ ωK − �√� ⋅ %ω (ν) ⋅ ωS  � ��� 7KH� UHOD[DWLRQ� IRUFH� ∆U FDQ� EH� IRXQGIURP�WKH�FRQGLWLRQ ∆ __0(ω)0∞   ω<<ωS H[SHULPHQW = µω (�) ω<<ωS ⋅ ∆U = ∆U� 7HPSHUDWXUH� UHOD[DWLRQ� VSHFWUXP�� /HWQHZ�SUREOHP�SDUDPHWHUV�EH� LQWURGXFHG�>���@� θ7 = 7 ⁄ 7S(�) = −N7OQ(ωτ�) ⁄ 8��� GLPHQVLRQOHVVWHPSHUDWXUH�� Ω7 = ωτ��� GLPHQVLRQOHVV� IUH�TXHQF\�� G7 = √�' ⁄ N7S(�) = −√�'OQ(ωτ�)8�� 9�'�1DWVLN��<X�$�6HPHUHQNR���$QDO\VLV�RI����� )XQFWLRQDO�PDWHULDOV������������� ��� GLPHQVLRQOHVV� GLVSHUVLRQ� FKDUDFWHULVWLF� [ H[S�8�N7���WKH�QHZ�LQWHJUDWLRQ�YDULDEOH��7KHQ� µ7(�) = 17(ν) ⋅ χ7 ⋅ ∫� ∞ G[[ ⋅ I7([�θ7�Ω7�G7�ν)� µ7(�) = 17(ν) ⋅ χ7 ⋅ Ω7 ⋅ ∫� ∞ G[ ⋅ I7([�θ7�Ω7�G7�ν)� ��� I7([�θ7�Ω7�G7�ν) = � (−OQΩ7)ν + (θ7OQ[)ν × × OQ[ Ω7�[� + � ⋅ H[S     −    θ7OQ[ + OQΩ7G7    �      � χ7 = �θ7� √πG7(−OQΩ7)ν−��� 1ω (ν) = �(OQΩ7)� + νG7��OQΩ7)� � 7KH�WHPSHUDWXUH�GHSHQGHQFHV�RI�QRUPDO �L]HG�G\QDPLF�UHVSRQVH�IXQFWLRQ� 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