Study of dimensional dependencies of thermodynamic characteristics of nanoparticles
In the article some approaches to the theoretical description of the deviations of thermodynamic characteristics, such as the heat capacity and the Debye temperature for nanoparticles are considered. The standard Debye inference for the heat capacity of massive crystalline solids was investigated f...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2019-06-01
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| Series: | Қарағанды университетінің хабаршысы. Физика сериясы |
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| Online Access: | https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/300 |
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| _version_ | 1850182589535485952 |
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| author | V.M. Yurov V.V. Arkhipov G.A. Ranova V.Ch. Laurynas |
| author_facet | V.M. Yurov V.V. Arkhipov G.A. Ranova V.Ch. Laurynas |
| author_sort | V.M. Yurov |
| collection | DOAJ |
| description |
In the article some approaches to the theoretical description of the deviations of thermodynamic characteristics, such as the heat capacity and the Debye temperature for nanoparticles are considered. The standard Debye inference for the heat capacity of massive crystalline solids was investigated for its modernization in order to take into account surface phenomena of considerable weight for nanoparticles. Unlike massive samples, not only the upper limit of possible frequencies but the lower one starts to matter for nanoparticles. Indeed, in principle, elastic waves with a wavelength greater than the size of the crystal itself cannot arise in a crystal. The equation obtained shows that the thickness of the surface layer of an atomically smooth solid is determined by one parameter — the atomic (molecular) volume of the element, which changes in accordance with the periodic law of D.I. Mendeleev. The equation in its final form, despite its simplicity, shows good agreement with the experimental data
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| format | Article |
| id | doaj-art-58492d42db3848369945d2c3b50f7ff3 |
| institution | OA Journals |
| issn | 2518-7198 2663-5089 |
| language | English |
| publishDate | 2019-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Физика сериясы |
| spelling | doaj-art-58492d42db3848369945d2c3b50f7ff32025-08-20T02:17:36ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Физика сериясы2518-71982663-50892019-06-0194210.31489/2019ph2/35-41Study of dimensional dependencies of thermodynamic characteristics of nanoparticles V.M. YurovV.V. ArkhipovG.A. RanovaV.Ch. Laurynas In the article some approaches to the theoretical description of the deviations of thermodynamic characteristics, such as the heat capacity and the Debye temperature for nanoparticles are considered. The standard Debye inference for the heat capacity of massive crystalline solids was investigated for its modernization in order to take into account surface phenomena of considerable weight for nanoparticles. Unlike massive samples, not only the upper limit of possible frequencies but the lower one starts to matter for nanoparticles. Indeed, in principle, elastic waves with a wavelength greater than the size of the crystal itself cannot arise in a crystal. The equation obtained shows that the thickness of the surface layer of an atomically smooth solid is determined by one parameter — the atomic (molecular) volume of the element, which changes in accordance with the periodic law of D.I. Mendeleev. The equation in its final form, despite its simplicity, shows good agreement with the experimental data https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/300heat capacityDebye temperaturenanostructurecrystalatomic volume |
| spellingShingle | V.M. Yurov V.V. Arkhipov G.A. Ranova V.Ch. Laurynas Study of dimensional dependencies of thermodynamic characteristics of nanoparticles Қарағанды университетінің хабаршысы. Физика сериясы heat capacity Debye temperature nanostructure crystal atomic volume |
| title | Study of dimensional dependencies of thermodynamic characteristics of nanoparticles |
| title_full | Study of dimensional dependencies of thermodynamic characteristics of nanoparticles |
| title_fullStr | Study of dimensional dependencies of thermodynamic characteristics of nanoparticles |
| title_full_unstemmed | Study of dimensional dependencies of thermodynamic characteristics of nanoparticles |
| title_short | Study of dimensional dependencies of thermodynamic characteristics of nanoparticles |
| title_sort | study of dimensional dependencies of thermodynamic characteristics of nanoparticles |
| topic | heat capacity Debye temperature nanostructure crystal atomic volume |
| url | https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/300 |
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