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Self-Diffusion in Tellurium. II. Grain Boundary and Dislocation Effects

R. N. Ghoshtagore*

  • Xerox Research Laboratories, Webster, New York

  • *Present address: Fairchild Semiconductor Research and Development Laboratories, Palo Alto, California 94304.

Phys. Rev. 155, 603 – Published 15 March, 1967

DOI: https://doi.org/10.1103/PhysRev.155.603

Abstract

Self-diffusion in tellurium has been determined directly and unambiguously using a Te127m radiotracer in polycrystalline and dislocated single-crystal tellurium samples. The data along the grain boundaries between 280 and 390°C can be represented by DGB=7.47×104 exp[(0.87±0.08 eV)kT] cm2/sec, whereas those along the edge (between 253 and 401°C) and screw (between 275 and 380°C) dislocations are described by DED=9.67×106 exp[(0.65±0.02 eV)kT] cm2/sec and DSD=7.12×103 exp[(0.98±0.10eV)kT] cm2/sec, respectively. From these data, in conjunction with the available lattice-diffusivity data in single crystals, it is estimated that the activation energy of the motion of vacancies in tellurium is about 0.7 eV along [0001] and 1 eV along 101¯0 or 112¯0. The use of Fisher's analysis of Harrison's type-B diffusion kinetics, along with the directly measured data along dislocations and grain boundaries, substantiated the model of grain boundaries as a single-line array of dislocations. But the values of effective grain-boundary thickness and dislocation diameters obtained using the same analysis (1.5×105 cm) is about two orders of magnitude higher than usually assumed in grain-boundary diffusion studies.

See Also

Self-Diffusion in Tellurium. I. Anisotropy and Impurity Effect

R. N. Ghoshtagore
Phys. Rev. 155, 598 (1967)

References (40)

  1. M. Volmer and I. Estermann, Z. Physik 7, 1 (1921) ibid.7, 13 (1921)
  2. I. Langmuir, J. Franklin Inst. 217, 543 (1934)
  3. J. M. Burgers, Proc. Phys. Soc. (London) 52, 23 (1940)
  4. W. L. Bragg, Proc. Phys. Soc. (London) 52, 54 (1940)
  5. D. Turnbull, Atom Movements (American Society for Metals, Cleveland, Ohio, 1951), p. 129
  6. W. T. Read and W. Shockley, Phys. Rev. 78, 275 (1950)
  7. R. Smoluchowski, Phys. Rev. 87, 482 (1952)
  8. S. R. L. Couling and R. Smoluchowski, J. Appl. Phys. 25, 1538 (1954)
  9. J. C. Fisher, J. Appl. Phys. 22, 74 (1951)
  10. D. Turnbull and R. E. Hoffman, J. Appl. Phys. 22, 634 (1951) Acta Met. 2, 419 (1954)
  11. R. T. P. Whipple, Phil. Mag. 45, 1225 (1954)
  12. H. S. Levine and C. J. MacCallum, J. Appl. Phys. 31, 595 (1960)
  13. A. D. LeClaire, Phil. Mag. 42, 468 (1951)
  14. W. H. Rhodes, Sc.D. thesis, MIT, 1965 (unpublished)
  15. E. W. Hart, Acta Met. 5, 597 (1957)
  16. C. T. Tomizuka, Acta Met. 6, 660 (1958)
  17. A. J. Mortlock, Acta Met. 8, 132 (1960)
  18. L. G. Harrison, Trans. Faraday Soc. 57, 1191 (1961)
  19. A. B. Lidiard and K. Tharmalingam, Disc. Faraday Soc. 28, 64 (1959)
  20. J. Lothe, J. Appl. Phys. 31, 1077 (1960)
  21. L. C. Luther, J. Chem. Phys. 43, 2213 (1965)
  22. J. P. Stark, J. Appl. Phys. 36, 3938 (1965)
  23. G. P. Williams, Jr., and L. Slifkin, Phys. Rev. Letters 1, 243 (1958)
  24. M. A. Bendik, R. L. Petrusevich, and E. S. Sollertinskaya, Fiz. Tverd. Tela 5, 3247 (1963) [English transl.: Soviet Phys.—Solid State 5, 2375 (1964]
  25. H. Widmer, Phys. Rev. 125, 30 (1962)
  26. L. M. Heldt and J. N. Hobstetter, Acta Met. 11, 1165 (1963)
  27. P. V. Pavlov, V. A. Panteleev, and A. V. Maiorov, Fiz. Tverd. Tela 6, 382 (1964) [English transl.: Soviet Phys.—Solid State 6, 305 (1964)]
  28. V. A. Panteleev, Fiz. Tverd. Tela 7, 922 (1965) [English transl.: Soviet Phys.—Solid State 7, 734 (1965)]
  29. R. Tucker, A. Laskar, and R. Thomson, J. Appl. Phys. 34, 445 (1963)
  30. Ya. E. Geguzin and E. R. Dobrovinskaya, Fiz. Tverd. Tela 7, 3498 (1965) [English transl.: Soviet Phys.—Solid State 7, 2826 (1966]
  31. Ya. E. Geguzin and E. R. Dobrovinskaya, Fiz. Tverd. Tela 7, 2058 (1965) [English transl.: Soviet Phys.—Solid State 7, 1660 (1966)]
  32. H. M. Morrison, Phil. Mag. 12, 985 (1965)
  33. R. N. Ghoshtagore, Phys. Rev. 155, 598 (1967)
  34. L. C. Lovell, J. H. Wernick, and K. E. Benson, Acta Met. 6, 716 (1958) A. I. Blum, Fiz. Tverd. Tela 2, 1666 (1960) [English transl.: Soviet Phys.—Solid State 2, 1509 (1961)] J. S. Blakemore, J. W. Schultz, and K. C. Nomura, J. Appl. Phys. 31, 2226 (1960) K. Herrmann, Phys. Status Solidi 1, 254 (1961) R. J. Stokes, T. L. Johnson, and C. H. Li, Acta Met. 9, 415 (1961) G. Syrbe, Ann. Physik 4, 132 (1959)
  35. N. Fuschillo, M. L. Gimpl, and A. D. McMaster, J. Appl. Phys. 37, 2044 (1966)
  36. T. S. Lundy and J. I. Federer, Trans. AIME 224, 1285 (1962) J. Askill, Appl. Phys. Letters 9, 82 (1966)
  37. S. Mayburg, Phys. Rev. 95, 38 (1954)
  38. R. I. Kazhlaeva, A. A. Kuliev, and N. I. Ibragimov, Izv. Akad. Nauk Azerb. SSR, Ser. Fiz. Mat. i Tekhn. Nauk 1962, No. 3, 95 (1962)
  39. H. Rickert, Z. Physik. Chem. (Frankfurt) 43, 129 (1964)
  40. J. H. Westbrook and D. L. Wood, Nature 192, 1281 (1961)

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