The low-temperature lattice thermal conductivity of twinned and untwinned, martensitic and non-martensitic, indium-thallium alloys has been measured to probe the effect of twin boundaries on phonon thermal transport. The phonon scattering by electrons, sample surfaces, dislocations, and thallium “impurities” is accounted for adequately by existing theoretical models. The reduced lattice thermal conductivity seen in twinned samples is attributed to additional phonon scattering by twin boundaries and, for the polycrystalline samples, by grain boundaries. Phonon scattering by twin boundaries is much weaker than that generally reported for grain boundaries, and is well represented by an acoustic-mismatch model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Berman, Proc. Phys. Soc. 65, 67 (1952).
K. A. McCarthy, in Proceedings of the Ninth International Conference on Low Temperature Physics (Plenum, New York, 1965), p. 1155.
E. P. Roth and A. C. Anderson, Phys. Stat. Sol. B 93, 261 (1979).
M. Jirmanus and H. H. Sample, J. Appl. Phys. 45, 5457 (1974).
E. P. Roth and A. C. Anderson, Phys. Rev. B 17, 3356 (1978).
M. W. Burkart and T. A. Read, J. Metals 5, 1516 (1953).
J. T. A. Pollock and H. W. King, J. Mater. Sci. 3, 372 (1968).
H. L. Luo, S. Hagen, and M. F. Merriam, Acta Metall. 13, 1012 (1965).
L. Guttman, Trans. AIME 188, 1472 (1950).
H. Kuriyake, T. Fukami, and S. Mase, J. Phys. Soc. Jpn. 54, 989 (1985).
Z. S. Basinski and J. W. Christian, Acta Metall. 2, 101 (1954).
J. S. Bowles, C. S. Barrett, and L. Guttman, Trans. AIME 188, 1478 (1950).
D. S. Gunton and G. S. Saunders, Solid State Comm. 14, 865 (1974).
H. Schumann, Crystal Res. Technol. 17, 1031 (1982).
Y. Koyama and O. Nittono, J. de Physique 43, C4–145 (1982).
O. Nittono and Y. Koyama, Sci. Rep. Inst. Tohiko Univ., Ser. A 29, 53 (1981).
J. W. Christian, The Theory of Transformations in Metals and Alloys (Pergamon London, 1965), p. 816.
J. W. Vandersande, P. N. Chopra, and R. O. Pohl, in Phonon Scattering in Condensed Matter IV, W. Eisenmeyer, K. Lassman, and S. Döttinger, eds. (Springer, Berlin, 1984), p. 182.
J. W. Vandersande and R. O. Pohl, Geophys. Res. Lett. 9, 820 (1982).
A. J. H. Mante and J. Volger, Phys. Lett. 24A, 139 (1967).
T. Matsuo and H. Suzuki, Phys. Soc. Jpn. 43, 1974 (1977).
L. S. Mitchell, Ph.D. Thesis (University of Illinois at Urbana-Champaign, 1992) unpublished.
N. E. Phillips, Phys. Rev. 100, 1719 (1955).
L. V. Munukutla and R. L. Cappalletti, Phys. Rev. B 21, 5111 (1980).
M. P. Zaitlin, L. M. Scherr, and A. C. Anderson, Phys. Rev. B 12, 4487 (1975).
R. Berman, E. L. Foster, and J. M. Ziman, Proc. Roy. Soc. (London) 231A, 130 (1955).
R. Berman, F. E. Simon, and J. M. Ziman, Proc. Roy. Soc. (London) 220A, 171 (1953).
T. Klitsner, J. E. Van Cleve, H. E. Fischer, and R. O. Pohl, Phys. Rev. B 38, 7576 (1987).
A. K. McCurdy, Phys. Rev. B 26, 6971 (1982).
C. J. Winternheimer and A. J. McCurdy, Phys. Rev. B 18, 6576 (1977).
D. Kechrakos, J. Phys. C: Condens. Matter 3, 1443 (1991).
P. G. Klemens, Proc. Phys. Soc. London A68, 1113 (1955).
Ashcroft and Merman, Solid State Physics (Holt, Rinehart and Winston, New York, 1976), p. 637.
P. G. Klemens, Can. J. Phys. 35, 441 (1959).
O. Weis, Z. Phys. B 34, 55 (1979).
M. Weilert (unpublished).
I. M. Lifshitz and A. M. Kosevich, Report Prog. Phys. 29, 217 (1966).
P. Masri and L. Dobrzynski, J. de Physique 36, 551 (1975).
V. N. Nechaev and A. M. Roshchupkin, Sov. Phys. Solid State 33, 410 (1991).
B. Horovitz, G. R. Barsch, and J. A. Krumhansl, Phys. Rev. B 36, 8895 (1987).
B. Horovitz, G. R. Barsch, and J. A. Krumhansl, Phys. Rev. B 43, 1021 (1991).
A. C. Anderson, in Dislocations in Solids, F. R. N. Nalarro, ed. (North-Holland, New York, 1983), p. 237.
P. W. Bridgeman, Proc. Amer. Acad. Arts. Sci. 84, 1 (1955).
M. V. Klassen-Neklyudova, Mechanical Twinning of Crystals (Consultants Bureau, New York, 1964).
C. N. Reid, Deformation Geometry for Materials Scientists (Pergamon, Oxford, 1973), pp. 179–202.
W. G. Pfann in Solid State Physics, F. Seitz and D. Turnbull, eds. (Academic, New York, 1957), Vol. 4, p. 424.
G. Schoeck, J. Appl. Phys. 33, 1745 (1962).
P. Jacquet, Metall. Rev. 1, 157 (1956).
R. J. Sladek, Phys. Rev. 97, 902 (1955).
J. W. Stout and L. Guttman, Phys. Rev. 88, 713 (1952).
B. S. Chandrasekhar and J. A. Rayne, Phys. Rev. 124, 1011 (1961).
In Ref. 49 it was reported that the electron-phonon interaction depends on the thallium concentration, whereas we find a concentration-independent interaction. We believe that the analysis of Ref. 49 is in error because the influence of point-defect scattering of phonons had been neglected.
P. G. Klemens, in Solid State Physics, F. Seitz and D. Turnbull, eds. (Academic, New York, 1958), Vol. 7, p. 1.
Y. Kogure and Y. Hiki, J. Phys. Soc. Japan 38, 471 (1975).
R. A. Brown, J. de Physique, 42, C6–271 (1981).
K. A. Gschneider, in Solid State Physics, F. Seitz and D. Turnbull, eds. (Academic, New York, 1964), Vol. 16, p. 275.
R. Berman, Thermal Conduction in Solids (Clarendon, Oxford, 1976).
This model is less successful when applied to samples l, 1A, or 1B which reveal stronger phonon scattering and a more complex temperature dependence, see Ref. 22. Note that boule 1 was the first manufactured, the only martensitic alloy made with argon gas instead of air, the only boule pressed between glass plates to make the surface smooth enough to view twins, and the only boule cut by hand with a razor blade.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mitchell, L.S., Anderson, A.C. Low temperature thermal conductivity of twinned and untwinned indium-thallium alloys. J Low Temp Phys 91, 341–369 (1993). https://doi.org/10.1007/BF00125429
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00125429