Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants

The paper examines theoretically changes in the speed of an acoustic wave in crystals caused by metallic dopants. It is well known that an acoustic wave has a wavelength larger than the typical dimension of the elementary crystallographic cell, so it is sensitive only to large-scale...

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Main Author: T. Błachowicz
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2004-01-01
Series:Archives of Acoustics
Subjects:
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/493
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author T. Błachowicz
author_facet T. Błachowicz
author_sort T. Błachowicz
collection DOAJ
description The paper examines theoretically changes in the speed of an acoustic wave in crystals caused by metallic dopants. It is well known that an acoustic wave has a wavelength larger than the typical dimension of the elementary crystallographic cell, so it is sensitive only to large-scale features. The model bases on the assumption that a crystal with uniform distributed dopants can be transformed into a multiplayer virtual structure form which some conclusions can be drawn. The approach presented is valid for longitudinal acoustic waves, where the atomic displacement can be considered as a continuum field. It provides positive or negative changes in the acoustic wave speeds for different dopants in a hypothetical lithium niobate crystal.
format Article
id doaj-art-3517479fa43341908cd6da44ef8cc2dd
institution Kabale University
issn 0137-5075
2300-262X
language English
publishDate 2004-01-01
publisher Institute of Fundamental Technological Research Polish Academy of Sciences
record_format Article
series Archives of Acoustics
spelling doaj-art-3517479fa43341908cd6da44ef8cc2dd2025-08-20T03:27:57ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2004-01-01293Phenomenological model of changes in the speed of a sound wave in crystals caused by dopantsT. Błachowicz0Silesian University of Technology, Institute of PhysicsThe paper examines theoretically changes in the speed of an acoustic wave in crystals caused by metallic dopants. It is well known that an acoustic wave has a wavelength larger than the typical dimension of the elementary crystallographic cell, so it is sensitive only to large-scale features. The model bases on the assumption that a crystal with uniform distributed dopants can be transformed into a multiplayer virtual structure form which some conclusions can be drawn. The approach presented is valid for longitudinal acoustic waves, where the atomic displacement can be considered as a continuum field. It provides positive or negative changes in the acoustic wave speeds for different dopants in a hypothetical lithium niobate crystal. https://acoustics.ippt.pan.pl/index.php/aa/article/view/493elastic constantselastic waves in layered mediasuperlatticeslithium niobatedopants in lithium niobateRytov's model
spellingShingle T. Błachowicz
Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
Archives of Acoustics
elastic constants
elastic waves in layered media
superlattices
lithium niobate
dopants in lithium niobate
Rytov's model
title Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
title_full Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
title_fullStr Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
title_full_unstemmed Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
title_short Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
title_sort phenomenological model of changes in the speed of a sound wave in crystals caused by dopants
topic elastic constants
elastic waves in layered media
superlattices
lithium niobate
dopants in lithium niobate
Rytov's model
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/493
work_keys_str_mv AT tbłachowicz phenomenologicalmodelofchangesinthespeedofasoundwaveincrystalscausedbydopants