Home Influence of the thermoelastic effect on the acoustic properties of pure metals at low temperatures
Article
Licensed
Unlicensed Requires Authentication

Influence of the thermoelastic effect on the acoustic properties of pure metals at low temperatures

  • Vassilij Natsik and Pavel Pal-Val EMAIL logo
Published/Copyright: January 11, 2022
Become an author with De Gruyter Brill
Author Information
International Journal of Materials Research
From the journal International Journal of Materials Research Volume 97 Issue 3

Abstract

The influence of the thermoelastic effect on the sound propagation in metals is discussed. A strict description of the effect based on a combined solution of the equations of elasticity and heat conductivity is presented. It is shown that acoustic relaxation resonance caused by the thermoelastic effect can be observed when metal single crystals of high purity are studied by pulse-echo spectroscopy at about 10 K.

Keywords: Elastic moduli; Thermoelastic relaxation; Low temperatures; Niobium
Dr. Sci. Pal-Val Pavel B.Verkin Institute for Low Temperature Physics & Engineering NAS of Ukraine 47 Lenin Ave., Kharkov 61103, Ukraine Tel.: +38 057 330 8513 Fax: +38 057 333 5593

  1. The authors express their gratitude to V. D. Fil’, S. N. Smirnov, and L. N. Pal-Val for interest to the work, help, and useful discussions.

References

[1] R. Truell, C. Elbaum, B.B. Chick: Ultrasonic Methods in Solid State Physics, Academic Press, New York (1969).Search in Google Scholar

[2] G.A. Alers, in: W.P. Mason (Ed.), Physical Acoustics, A 4, Academic Press, New York (1966) 277.10.1016/B978-0-12-395663-7.50018-2Search in Google Scholar

[3] B.T. Gejlikman, V.Z. Kresin: Kinetic and Non-stationary Phenomena in Superconductors, Nauka, Moscow (1972) (in Russian).Search in Google Scholar

[4] I.M. Lifshits, M.Ya. Azbel’, M.I. Kaganov: Electron theory of metals, Nauka, Moscow (1971) (in Russian).Search in Google Scholar

[5] V.L. Gurevich, I.G. Lang, S.T. Pavlov: JETP 59 (1970) 1679.Search in Google Scholar

[6] K. Lücke: J. Appl. Phys. 27 (1956) 1433.10.1063/1.1722284Search in Google Scholar

[7] G.K. White, S.B. Woods: Canad. J. Phys. 35 (1957) 892.10.1139/p57-098Search in Google Scholar

[8] G.K. White: Cryogenics 2 (1962) 292.10.1016/0011-2275(62)90014-0Search in Google Scholar

[9] H.A. Leupold, H.A. Boorse: Phys. Rev. 134 (1964) A1322.10.1103/PhysRev.134.A1322Search in Google Scholar

[10] L.Y.L. Shen, N.M. Senozan, N.E. Phillips: Phys. Rev. Lett. 14 (1965) 1025.10.1103/PhysRevLett.14.1025Search in Google Scholar

[11] J. Ferreira da Silva, E.A. Burgemeister, Z. Dokoupil: Physica 41 (1969) 409.10.1016/0031-8914(69)90046-9Search in Google Scholar

[12] J.R. Carlson, C.B. Satterthwaite: Phys. Rev. Lett. 24 (1970) 461.10.1103/PhysRevLett.24.461Search in Google Scholar

[13] V.I. Ovcharenko, G.A. Zaitsev, V.S. Krylovskij, V.A. Pervakov, V.I. Khotkevich: 1st All Union Conf. Thermal Properties of Solids at Low Temperatures, VNIIFTRI, Moscow (1972) 117 (in Russian).Search in Google Scholar

[14] P.H. Kes, J.G.A. Rolfes, D. de Klerk: J. Low Temp. Phys. 17 (1974) 341.10.1007/BF00659079Search in Google Scholar

[15] T. Mamyia, A. Oota, Y. Masuda: Solid State Comm. 15 (1974) 1689.10.1016/0038-1098(74)91213-7Search in Google Scholar

[16] C.E. Gough, in: K.D. Timmerhaus, W.J. O’Sullivan, E.F. Hammel (Eds.), Proc. 13th Int. Conf. Low Temperature Physics – LT13, V. 3, Plenum Press, New York (1974) 112.10.1007/978-1-4684-2688-5_19Search in Google Scholar

[17] A.C. Anderson, S.G. O’Hara: J. Low Temp. Phys. 15 (1974) 323.10.1007/BF00661189Search in Google Scholar

[18] L.A. Novitskij, I.G. Kozhevnikov: Thermal Properties of Solids at Low Temperatures, Mashinostroyeniye, Moscow (1975) 107 (in Russian).Search in Google Scholar

[19] A. Gladun, C. Gladun, M. Knorn, H. Viazelberg: J. Low Temp. Phys. 27 (1977) 873.10.1007/BF00655712Search in Google Scholar

[20] V.D. Natsik, P.P. Pal-Val, S.N. Smirnov: Acoust. Phys. 44 (1998) 553.Search in Google Scholar

[21] L.D. Landau, E.M. Lifshits: Theory of Elasticity, Nauka, Moscow (1965) (in Russian).Search in Google Scholar

[22] P.P. Pal-Val, V.D. Natsik, L.N. Pal-Val: Low. Temp. Phys. 32 (2006) (in press).10.1063/1.2171523Search in Google Scholar

[23] G.A. Alers, D.L. Waldorf: Phys. Rev. Lett. 6 (1961) 677.10.1103/PhysRevLett.6.677Search in Google Scholar

[24] E. Dresher-Krasicka, A.V. Granato: J. de Physique (Paris) 46 (1985) 1073.10.1051/jphyslet:0198500460220107300Search in Google Scholar

[25] J. Trivisonno, S. Vatanayon, M.Wilt, J.Washick, R. Reifenberger: J. Low Temp. Phys. 12 (1973) 153.10.1007/BF00654733Search in Google Scholar
Received: 2005-10-05
Accepted: 2005-12-12
Published Online: 2022-01-11

© 2006 Carl Hanser Verlag, München

Articles in the same Issue

  1. Frontmatter
  2. Professor Dr. Gernot Kostorz 65 years
  3. Dislocation micromechanisms under single slip conditions
  4. Characterisation of short-range order using dislocations
  5. Between microscopic and mesoscopic descriptions of twin–twin interaction
  6. Influence of the thermoelastic effect on the acoustic properties of pure metals at low temperatures
  7. Recent progress in the area of bulk metallic glasses
  8. Formation of the ABC6-type ordered structure in fcc alloys
  9. Short-range order in Fe-21.9 at.% Al
  10. Criteria for developing castable, creep-resistant aluminum-based alloys – A review
  11. Phase decomposition and precipitation of metastable A2 phase in B2 ordered Co–Al–Fe alloys
  12. Atomic migration and ordering phenomena in bulk and thin films of FePd and FePt
  13. Late-stage coarsening of oil droplets of excess oil in microemulsions following a temperature quench
  14. Small-angle scattering from spherical particles on randomly oriented interfaces
  15. Ripening of L12 Ni3Ti precipitates in the framework of the trans-interface diffusion-controlled theory of particle coarsening
  16. Texture evolution in equiaxed polycrystalline L10-ordered FePd during coarsening at 600 °C
  17. Modulated structures in amorphous films of Cr-silicide prepared by electron-beam-deposition
  18. Early stages of nucleation and growth of Guinier –Preston zones in Al–Zn–Mg and Al–Zn–Mg–Cu alloys
  19. Experimental and theoretical characterization of Al3Sc precipitates in Al–Mg–Si–Cu–Sc–Zr alloys
  20. Ag2Al plates in Al–Ag alloys
  21. A critical analysis of the composite model as applied to high-temperature creep of Al and an Al–Mg alloy
  22. Damage behaviour of an Al2O3 particle-reinforced 6061 alloy induced by monotonic and cyclic deformation
  23. Deformation behaviour of ultrafine-grained magnesium with 3 vol.% graphite
  24. Press/Presse
  25. Conferences/Konferenzen
  26. Frontmatter
  27. Editorial
  28. Professor Dr. Gernot Kostorz 65 years
  29. Articles BBasic
  30. Dislocation micromechanisms under single slip conditions
  31. Characterisation of short-range order using dislocations
  32. Between microscopic and mesoscopic descriptions of twin–twin interaction
  33. Influence of the thermoelastic effect on the acoustic properties of pure metals at low temperatures
  34. Recent progress in the area of bulk metallic glasses
  35. Formation of the ABC6-type ordered structure in fcc alloys
  36. Short-range order in Fe-21.9 at.% Al
  37. Criteria for developing castable, creep-resistant aluminum-based alloys – A review
  38. Phase decomposition and precipitation of metastable A2 phase in B2 ordered Co–Al–Fe alloys
  39. Atomic migration and ordering phenomena in bulk and thin films of FePd and FePt
  40. Late-stage coarsening of oil droplets of excess oil in microemulsions following a temperature quench
  41. Small-angle scattering from spherical particles on randomly oriented interfaces
  42. Ripening of L12 Ni3Ti precipitates in the framework of the trans-interface diffusion-controlled theory of particle coarsening
  43. Articles AApplied
  44. Texture evolution in equiaxed polycrystalline L10-ordered FePd during coarsening at 600 °C
  45. Modulated structures in amorphous films of Cr-silicide prepared by electron-beam-deposition
  46. Early stages of nucleation and growth of Guinier –Preston zones in Al–Zn–Mg and Al–Zn–Mg–Cu alloys
  47. Experimental and theoretical characterization of Al3Sc precipitates in Al–Mg–Si–Cu–Sc–Zr alloys
  48. Ag2Al plates in Al–Ag alloys
  49. A critical analysis of the composite model as applied to high-temperature creep of Al and an Al–Mg alloy
  50. Damage behaviour of an Al2O3 particle-reinforced 6061 alloy induced by monotonic and cyclic deformation
  51. Deformation behaviour of ultrafine-grained magnesium with 3 vol.% graphite
  52. Notifications/Mitteilungen
  53. Press/Presse
  54. Conferences/Konferenzen
https://doi.org/10.1515/ijmr-2006-0038
Keywords for this article
Elastic moduli; Thermoelastic relaxation; Low temperatures; Niobium

Articles in the same Issue

  1. Frontmatter
  2. Professor Dr. Gernot Kostorz 65 years
  3. Dislocation micromechanisms under single slip conditions
  4. Characterisation of short-range order using dislocations
  5. Between microscopic and mesoscopic descriptions of twin–twin interaction
  6. Influence of the thermoelastic effect on the acoustic properties of pure metals at low temperatures
  7. Recent progress in the area of bulk metallic glasses
  8. Formation of the ABC6-type ordered structure in fcc alloys
  9. Short-range order in Fe-21.9 at.% Al
  10. Criteria for developing castable, creep-resistant aluminum-based alloys – A review
  11. Phase decomposition and precipitation of metastable A2 phase in B2 ordered Co–Al–Fe alloys
  12. Atomic migration and ordering phenomena in bulk and thin films of FePd and FePt
  13. Late-stage coarsening of oil droplets of excess oil in microemulsions following a temperature quench
  14. Small-angle scattering from spherical particles on randomly oriented interfaces
  15. Ripening of L12 Ni3Ti precipitates in the framework of the trans-interface diffusion-controlled theory of particle coarsening
  16. Texture evolution in equiaxed polycrystalline L10-ordered FePd during coarsening at 600 °C
  17. Modulated structures in amorphous films of Cr-silicide prepared by electron-beam-deposition
  18. Early stages of nucleation and growth of Guinier –Preston zones in Al–Zn–Mg and Al–Zn–Mg–Cu alloys
  19. Experimental and theoretical characterization of Al3Sc precipitates in Al–Mg–Si–Cu–Sc–Zr alloys
  20. Ag2Al plates in Al–Ag alloys
  21. A critical analysis of the composite model as applied to high-temperature creep of Al and an Al–Mg alloy
  22. Damage behaviour of an Al2O3 particle-reinforced 6061 alloy induced by monotonic and cyclic deformation
  23. Deformation behaviour of ultrafine-grained magnesium with 3 vol.% graphite
  24. Press/Presse
  25. Conferences/Konferenzen
  26. Frontmatter
  27. Editorial
  28. Professor Dr. Gernot Kostorz 65 years
  29. Articles BBasic
  30. Dislocation micromechanisms under single slip conditions
  31. Characterisation of short-range order using dislocations
  32. Between microscopic and mesoscopic descriptions of twin–twin interaction
  33. Influence of the thermoelastic effect on the acoustic properties of pure metals at low temperatures
  34. Recent progress in the area of bulk metallic glasses
  35. Formation of the ABC6-type ordered structure in fcc alloys
  36. Short-range order in Fe-21.9 at.% Al
  37. Criteria for developing castable, creep-resistant aluminum-based alloys – A review
  38. Phase decomposition and precipitation of metastable A2 phase in B2 ordered Co–Al–Fe alloys
  39. Atomic migration and ordering phenomena in bulk and thin films of FePd and FePt
  40. Late-stage coarsening of oil droplets of excess oil in microemulsions following a temperature quench
  41. Small-angle scattering from spherical particles on randomly oriented interfaces
  42. Ripening of L12 Ni3Ti precipitates in the framework of the trans-interface diffusion-controlled theory of particle coarsening
  43. Articles AApplied
  44. Texture evolution in equiaxed polycrystalline L10-ordered FePd during coarsening at 600 °C
  45. Modulated structures in amorphous films of Cr-silicide prepared by electron-beam-deposition
  46. Early stages of nucleation and growth of Guinier –Preston zones in Al–Zn–Mg and Al–Zn–Mg–Cu alloys
  47. Experimental and theoretical characterization of Al3Sc precipitates in Al–Mg–Si–Cu–Sc–Zr alloys
  48. Ag2Al plates in Al–Ag alloys
  49. A critical analysis of the composite model as applied to high-temperature creep of Al and an Al–Mg alloy
  50. Damage behaviour of an Al2O3 particle-reinforced 6061 alloy induced by monotonic and cyclic deformation
  51. Deformation behaviour of ultrafine-grained magnesium with 3 vol.% graphite
  52. Notifications/Mitteilungen
  53. Press/Presse
  54. Conferences/Konferenzen
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2025 De Gruyter Brill
Downloaded on 15.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/ijmr-2006-0038/html
Scroll to top button