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Дисперсионные соотношения для кубических кристаллических решеток в модели диполь-дипольных взаимодействий

Authors: Kholodovsky, V. E.; Machikhina, I. O.; Kulchenkov, E. A.;

Дисперсионные соотношения для кубических кристаллических решеток в модели диполь-дипольных взаимодействий

Abstract

В работе исследуются колебания моноатомных кристаллических решеток, вызванные Ван-дер-Ваальсовскими силами. Построена динамическая модель и получены уравнения, описывающие колебания моноатомных кубических решёток в адиабатическом приближении. Выражены силовые константы динамической модели через упругие константы вещества и получены дисперсионные соотношения без каких-либо свободных параметров. Приводятся теоретические и экспериментальные дисперсионные кривые для Na и А1. The authors researched oscillations of monoatomic crystal lattices, caused by the Van der Waals forces. They developed a dynamic model and obtained equations depicting the oscillations of the monoatomic cubic lattices in the adiabatic approach. The authors evaluated forced constants of the dynamic model through the elastic constants of the substance and obtained the dispersion relations without any free parameters. The authors also provide the theoretical and experimental dispersion curves for Na and Al. Kholodovsky Vladimir Evgenievich - Cand.Sc.(Physics and Mathematics), Associate Professor of the Mathematical Analysis Department, I.G. Petrovskij Bryansk State University. Холодовский Владимир Евгеньевич - кандидат физико-математических наук, доцент кафедры математического анализа, Брянский государственный университет им. академика И.Г. Петровского. e-mail: tfbgubry@mail.ru Machikhina Inna Olegovna - Graduate Student at the Theoretical Physics Department, I.G. Petrovskij Bryansk State University. Мачихина Инна Олеговна -аспирант кафедры теоретической физики, Брянский государственный университет им. академика И.Г. Петровского. e-mail: ingibordit@yandex.ru Kulchenkov Evgeny Aleksandrovich - Assistant Professor at the General Physics Department, Bryansk State Technical University. Кульченков Евгений Александрович - старший преподаватель кафедры общей физики, Брянский государственный технический университет. e-mail: evgeniy2000@mail.ru Брянский государственный университет им. академика И.Г. Петровского

Keywords

crystal lattice, dispersion relations, упругие константы, дисперсионные кривые, elastic constant, кристаллическая решетка, диполь, УДК 534.1, динамическая модель, дисперсионные соотношения, dynamic model, dispersion curves, dipole

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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