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Volumn 59, Issue 5, 1999, Pages 3414-3420

Dislocation-density changes upon poling of polycrystalline (formula presented)

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EID: 0344995806     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.3414     Document Type: Article
Times cited : (37)

References (57)
  • 18
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    • The strain energy minimization by twin formation is an identical process in both ferroelectric and ferroelastic crystals
    • The strain energy minimization by twin formation is an identical process in both ferroelectric and ferroelastic crystals.
  • 20
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    • J. D. Eshelby, Solid State Physics: Advances in Research and Applications, edited by F. Seitz and D. Turnbull (Academic, New York, 1956), Vol. 3, p. 79
    • J. D. Eshelby, Solid State Physics: Advances in Research and Applications, edited by F. Seitz and D. Turnbull (Academic, New York, 1956), Vol. 3, p. 79.
  • 21
    • 85038911067 scopus 로고    scopus 로고
    • See Jona and Shirane (Ref. 16), p. 149
    • See Jona and Shirane (Ref. 16), p. 149.
  • 23
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    • Materials Research Society P. K. Davies, A. J. Jacobson, C. C. Torardi, and T. A. Vanderah
    • D. Balzar, P. W. Stephens, H. Ledbetter, J. Li, and M. L. Dunn, in Solid-State Chemistry of Inorganic Materials, Boston, MA, 1996, edited by P. K. Davies, A. J. Jacobson, C. C. Torardi, and T. A. Vanderah, MRS Symposia Proceedings No. 453 (Materials Research Society, Pittsburgh, PA, 1997), p. 715.
    • (1997) MRS Symposia Proceedings No. , pp. 715
    • Balzar, D.1    Stephens, P.W.2    Ledbetter, H.3    Li, J.4    Dunn, M.L.5
  • 26
    • 84977244087 scopus 로고
    • ) and comprehensive reviews on dislocation theory and plastic deformation of ionic crystals can be found in monographs by M. T. Sprackling, The Plastic Deformation of Simple Ionic Crystals (Academic, London, 1976)
    • Ionic crystals including (Formula presented) are brittle at room temperature and under mechanical deformation the tetragonal phase deforms by twinning easier than by dislocation activation. However, the external electric field will suppress twinning. Dislocations in (Formula presented) were reported already by W. S. Rothwell, J. Am. Ceram. Soc. 47, 409 (1964) and comprehensive reviews on dislocation theory and plastic deformation of ionic crystals can be found in monographs by M. T. Sprackling, The Plastic Deformation of Simple Ionic Crystals (Academic, London, 1976);
    • (1964) J. Am. Ceram. Soc. , vol.47 , pp. 409
    • Rothwell, W.S.1
  • 28
    • 85038947311 scopus 로고    scopus 로고
    • Oxygen vacancies in (Formula presented) were discussed extensively in the Ref. 4
    • Oxygen vacancies in (Formula presented) were discussed extensively in the Ref. 4.
  • 33
    • 0003472812 scopus 로고
    • Addison-Wesley, Reading, MA
    • B. E. Warren, X-Ray Diffraction (Addison-Wesley, Reading, MA, 1969), p. 251.
    • (1969) X-Ray Diffraction , pp. 251
    • Warren, B.E.1
  • 42
    • 0001617167 scopus 로고    scopus 로고
    • ). There are quantitative differences in these models. However, the overall behavior is similar and is not likely to influence the results of this study
    • I. Groma, Phys. Rev. B 57, 7535 (1998). There are quantitative differences in these models. However, the overall behavior is similar and is not likely to influence the results of this study.
    • (1998) Phys. Rev. B , vol.57 , pp. 7535
    • Groma, I.1
  • 43
    • 85038968824 scopus 로고    scopus 로고
    • Here, we neglect the dislocation-core energy because it is at least a factor of 10 smaller. See, for instance, Sprackling (Ref. 35), p. 48
    • Here, we neglect the dislocation-core energy because it is at least a factor of 10 smaller. See, for instance, Sprackling (Ref. 35), p. 48.
  • 48
    • 85038928326 scopus 로고    scopus 로고
    • This relation assumes that only dislocations with their Burgers vectors coplanar contribute to diffraction-line broadening. Williamson and Smallman (Ref. 36) gave a different relation where all dislocations contribute to the diffraction-line broadening, which is less likely in such a restricted dislocation arrangement
    • This relation assumes that only dislocations with their Burgers vectors coplanar contribute to diffraction-line broadening. Williamson and Smallman (Ref. 36) gave a different relation where all dislocations contribute to the diffraction-line broadening, which is less likely in such a restricted dislocation arrangement.
  • 49
    • 85038902035 scopus 로고    scopus 로고
    • See Sprackling (Ref. 35), pp. 158, 196
    • See Sprackling (Ref. 35), pp. 158, 196.
  • 50
    • 33846789188 scopus 로고    scopus 로고
    • See Sprackling (Ref. 35) p. 79. Because in this simple model the dislocation separation within one boundary is equal to the separation between boundaries of the opposite sign, the dislocation strain field is practically constant throughout coherent domains. This implies that the strain-broadened diffraction-line profile is a Gauss function and the size-broadened profile is a Lorentz function, as was obtained for both [001] and [100] of the poled specimen. A more detailed discussion exceeds the scope of this paper. See, for instance, B. E. Warren, in Progress in Metal Physics, edited by B. Chalmers and R. King (Pergamon, New York, 1959), Vol. 8, p. 147 and Ref. 33, and
    • See Sprackling (Ref. 35) p. 79. Because in this simple model the dislocation separation within one boundary is equal to the separation between boundaries of the opposite sign, the dislocation strain field is practically constant throughout coherent domains. This implies that the strain-broadened diffraction-line profile is a Gauss function and the size-broadened profile is a Lorentz function, as was obtained for both [001] and [100] of the poled specimen. A more detailed discussion exceeds the scope of this paper. See, for instance, B. E. Warren, in Progress in Metal Physics, edited by B. Chalmers and R. King (Pergamon, New York, 1959), Vol. 8, p. 147 and Ref. 33, and
  • 51
    • 0000272087 scopus 로고
    • ) for a criticism of Warren’s approach
    • M. Wilkens, J. Appl. Crystallogr. 12, 119 (1979) for a criticism of Warren’s approach.
    • (1979) J. Appl. Crystallogr. , vol.12 , pp. 119
    • Wilkens, M.1


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