ACOUSTIC ATTENUATION OF LONGITUDINAL AND SHEAR WAVES IN Ni–X (X = Al, Cu, Pd) ALLOYS DUE TO PHONON–PHONON INTERACTIONS.

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Title: ACOUSTIC ATTENUATION OF LONGITUDINAL AND SHEAR WAVES IN Ni–X (X = Al, Cu, Pd) ALLOYS DUE TO PHONON–PHONON INTERACTIONS.
Alternate Title: АКУСТИЧНЕ ЗАГАСАННЯ ПОЗДОВЖНІХ ТА ЗСУВНИХ ХВИЛЬ У СПЛАВАХ Ni-X (X = Al, Cu, Pd) ЧЕРЕЗ ФОНОН-ФОНОННУ ВЗАЄМОДІЮ.
Authors: Bagade, S. H.1 sanjaybagade8@gmail.com, Saudagar, P. A.1 Saudagar.pa@gmail.com
Source: Journal of Physical Studies. 2026, Vol. 30 Issue 1, p1-8. 8p.
Subjects: Phonon-phonon interactions, Sound-wave attenuation, Elastic constants, Nickel alloys, Longitudinal waves, Temperature effect, Elastic waves
Abstract: In this theoretical study, the acoustic attenuation coefficients per unit frequency square have been calculated for both longitudinal and shear waves propagating along the ⟨100⟩ crystallographic axis of Ni–X (X = Al, Cu,Pd) alloys, within the temperature range 300–700 K. Three different alloy compositions Ni80X20, Ni50X50 and Ni25X75 were considered for each alloy. Initially, the nonlinearity parameter D, which takes into account the anharmonic behavior of the materials, was calculated using the second order and third order elastic constants of material. Mason’s theory of phonon–phonon interactions, based on the temperature dependent non-linearity parameter, was used to obtain the attenuation coefficients per unit frequency square h [α/ f2] i for each of the alloys. The h [α/ f2] i values are found to be temperature dependent and increase with it. It is observed that the h [α/ f2] i for pure nickel metal is greater than that for the Ni–X alloys. As the percentage of added metal X in the alloys increases, the attenuation coefficient values slightly decrease within the range of 10 to 25 percent. The study also shows that, as the molecular weight of metal X added to pure nickel increases, the attenuation coefficient per unit frequency square decreases. For the investigated nickel alloys, h [α/ f2] i is found to have the maximum value for NiAl alloy and the lowest for NiPd alloy. Mason’s theory of wave attenuation due to phonon–phonon interaction can successfully explain the attenuation of both longitudinal and shear waves propagating through the Ni–X alloys. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physical Studies is the property of Journal of Physical Studies and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: ACOUSTIC ATTENUATION OF LONGITUDINAL AND SHEAR WAVES IN Ni–X (X = Al, Cu, Pd) ALLOYS DUE TO PHONON–PHONON INTERACTIONS.
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  Data: АКУСТИЧНЕ ЗАГАСАННЯ ПОЗДОВЖНІХ ТА ЗСУВНИХ ХВИЛЬ У СПЛАВАХ Ni-X (X = Al, Cu, Pd) ЧЕРЕЗ ФОНОН-ФОНОННУ ВЗАЄМОДІЮ.
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  Data: <searchLink fieldCode="AR" term="%22Bagade%2C+S%2E+H%2E%22">Bagade, S. H.</searchLink><relatesTo>1</relatesTo><i> sanjaybagade8@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Saudagar%2C+P%2E+A%2E%22">Saudagar, P. A.</searchLink><relatesTo>1</relatesTo><i> Saudagar.pa@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physical+Studies%22">Journal of Physical Studies</searchLink>. 2026, Vol. 30 Issue 1, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Phonon-phonon+interactions%22">Phonon-phonon interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Sound-wave+attenuation%22">Sound-wave attenuation</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+constants%22">Elastic constants</searchLink><br /><searchLink fieldCode="DE" term="%22Nickel+alloys%22">Nickel alloys</searchLink><br /><searchLink fieldCode="DE" term="%22Longitudinal+waves%22">Longitudinal waves</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature+effect%22">Temperature effect</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+waves%22">Elastic waves</searchLink>
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  Data: In this theoretical study, the acoustic attenuation coefficients per unit frequency square have been calculated for both longitudinal and shear waves propagating along the ⟨100⟩ crystallographic axis of Ni–X (X = Al, Cu,Pd) alloys, within the temperature range 300–700 K. Three different alloy compositions Ni80X20, Ni50X50 and Ni25X75 were considered for each alloy. Initially, the nonlinearity parameter D, which takes into account the anharmonic behavior of the materials, was calculated using the second order and third order elastic constants of material. Mason’s theory of phonon–phonon interactions, based on the temperature dependent non-linearity parameter, was used to obtain the attenuation coefficients per unit frequency square h [α/ f2] i for each of the alloys. The h [α/ f2] i values are found to be temperature dependent and increase with it. It is observed that the h [α/ f2] i for pure nickel metal is greater than that for the Ni–X alloys. As the percentage of added metal X in the alloys increases, the attenuation coefficient values slightly decrease within the range of 10 to 25 percent. The study also shows that, as the molecular weight of metal X added to pure nickel increases, the attenuation coefficient per unit frequency square decreases. For the investigated nickel alloys, h [α/ f2] i is found to have the maximum value for NiAl alloy and the lowest for NiPd alloy. Mason’s theory of wave attenuation due to phonon–phonon interaction can successfully explain the attenuation of both longitudinal and shear waves propagating through the Ni–X alloys. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Physical Studies is the property of Journal of Physical Studies and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.30970/jps.30.1401
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        Text: English
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      – SubjectFull: Phonon-phonon interactions
        Type: general
      – SubjectFull: Sound-wave attenuation
        Type: general
      – SubjectFull: Elastic constants
        Type: general
      – SubjectFull: Nickel alloys
        Type: general
      – SubjectFull: Longitudinal waves
        Type: general
      – SubjectFull: Temperature effect
        Type: general
      – SubjectFull: Elastic waves
        Type: general
    Titles:
      – TitleFull: ACOUSTIC ATTENUATION OF LONGITUDINAL AND SHEAR WAVES IN Ni–X (X = Al, Cu, Pd) ALLOYS DUE TO PHONON–PHONON INTERACTIONS.
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              Text: 2026
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