Local structure in BaTi1-x Zrx O3 relaxors from neutron pair distribution function analysis

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 6, 2009, Pages

  Laulhe C ^a   Hippert, F ^a   Bellissent, R ^b   Simon, A ^c   Cuello, G J ^d  

^a MINATEC   (France)

^b CEA GRENOBLE   (France)

^c INST CHIM MATIERE COND BORDEAUX   (France)

^d INSTITUT LAUE LANGEVIN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 61549122686     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.064104     Document Type: Article

References (63)

1. L. E. Cross, Ferroelectrics 76, 241 (1987).
2. L. E. Cross, Ferroelectrics 151, 305 (1994).
3. A. A. Bokov and Z. G. Ye, J. Mater. Sci. 41, 31 (2006). 10.1007/s10853-005-5915-7
4. M. Pasciak, M. Wolcyrz, and A. Pietraszko, Phys. Rev. B 76, 014117 (2007). 10.1103/PhysRevB.76.014117
5. J. Ravez and A. Simon, Eur. J. Solid State Inorg. Chem. 34, 1199 (1997).
6. G. H. Kwei, A. C. Lawson, S. J. L. Billinge, and S. W. Cheong, J. Phys. Chem. 97, 2368 (1993). 10.1021/j100112a043
7. R. Comès, M. Lambert, and A. Guinier, Solid State Commun. 6, 715 (1968). 10.1016/0038-1098(68)90571-1
8. R. Comès, M. Lambert, and A. Guinier, Acta Crystallogr. A 26, 244 (1970). 10.1107/S056773947000061X
9. B. Zalar, V. V. Laguta, and R. Blinc, Phys. Rev. Lett. 90, 037601 (2003). 10.1103/PhysRevLett.90.037601
10. B. Zalar, A. Lebar, J. Seliger, R. Blinc, V. V. Laguta, and M. Itoh, Phys. Rev. B 71, 064107 (2005). 10.1103/PhysRevB.71.064107
11. B. Ravel, E. A. Stern, R. I. Vedrinskii, and V. Kraizman, Ferroelectrics 206, 407 (1998). 10.1080/00150199808009173
12. A. R. Akbarzadeh, I. Kornev, C. Malibert, L. Bellaiche, and J. M. Kiat, Phys. Rev. B 72, 205104 (2005). 10.1103/PhysRevB.72.205104
13. I. Levin, T. G. Amos, S. M. Bell, L. Farber, T. A. Vanderah, R. S. Roth, and B. H. Toby, J. Solid State Chem. 175, 170 (2003). 10.1016/S0022-4596(03) 00220-2
14. M. D. Mathews, E. B. Mirza, and A. C. Momin, J. Mater. Sci. Lett. 10, 305 (1991). 10.1007/BF00719691
15. S. F. Dec, M. F. Davies, G. E. Maciel, C. E. Bronnimann, J. J. Fitzgerald, and S. Han, Inorg. Chem. 32, 955 (1993). 10.1021/ic00058a034
16. J. S. Hartman, F. P. Koffyberg, and J. A. Ripmeester, J. Magn. Reson. (1969-1992) 91, 400 (1991). 10.1016/0022-2364(91)90204-7
17. D. Haskel, B. Ravel, M. Newville, and E. A. Stern, Physica B 208-209, 151 (1995). 10.1016/0921-4526(94)00654-E
18. L. A. Bugaev, V. A. Shuvaeva, I. B. Aleseenko, and R. V. Vedrinskii, Physica B 208-209, 169 (1995). 10.1016/0921-4526(94)00661-E
19. P. E. Petit, F. Guyot, and F. Farges, J. Phys. IV 7C2, 1065 (1997).
20. C. Laulhé, F. Hippert, J. Kreisel, M. Maglione, A. Simon, J. L. Hazemann, and V. Nassif, Phys. Rev. B 74, 014106 (2006). 10.1103/PhysRevB.74. 014106
21. R. V. Vedrinskii, E. S. Nazarenko, M. P. Lemeshko, V. Nassif, O. Proux, A. A. Novakovich, and Y. Joly, Phys. Rev. B 73, 134109 (2006). 10.1103/PhysRevB.73.134109
22. R. D. Shannon, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 32, 751 (1976). 10.1107/S0567739476001551
23. T. N. Verbitskaia, G. S. Zhdanov, I. N. Venevstev, and S. P. Soloviev, Sov. Phys. Crystallogr. 3, 182 (1958).
24. P. Sciau, G. Calvarin, and J. Ravez, Solid State Commun. 113, 77 (2000). 10.1016/S0038-1098(99)00445-7
25. V. Westphal, W. Kleemann, and M. D. Glinchuk, Phys. Rev. Lett. 68, 847 (1992). 10.1103/PhysRevLett.68.847
26. R. Farhi, M. El Marssi, A. Simon, and J. Ravez, Eur. Phys. J. B 18, 605 (2000). 10.1007/s100510070008
27. T. Egami and S. J. L. Billinge, Underneath the Bragg Peaks-Structural Analysis of Complex Materials (Pergamon, New York, 2003).
28. H. D. Rosenfeld and T. Egami, Ferroelectrics 164, 133 (1995).
29. G. H. Kwei, S. J. L. Billinge, S. W. Cheong, and J. G. Saxton, Ferroelectrics 164, 57 (1995).
30. S. Teslic, T. Egami, and D. Viehland, Ferroelectrics 194, 271 (1997). 10.1080/00150199708016099
31. S. Teslic and T. Egami, Acta Crystallogr., Sect. B: Struct. Sci. 54, 750 (1998). 10.1107/S0108768198003802
32. T. Egami, W. Dmowski, M. Akbas, and P. K. Davies, AIP Conf. Proc. 436, 1 (1998).
33. W. Dmowski, M. K. Akbas, P. K. Davies, and T. Egami, J. Phys. Chem. Solids 61, 229 (2000). 10.1016/S0022-3697(99)00286-3
34. W. Dmowski, T. Egami, L. Farber, and P. K. Davies, AIP Conf. Proc. 582, 33 (2001). 10.1063/1.1399687
35. P. Juhas, I. Grinberg, A. M. Rappe, W. Dmowski, T. Egami, and P. K. Davies, Phys. Rev. B 69, 214101 (2004). 10.1103/PhysRevB.69.214101
36. I. K. Jeong, J. K. Lee, and R. H. Heffner, Appl. Phys. Lett. 92, 172911 (2008). 10.1063/1.2919070
37. C. L. Farrow, P. Juhas, J. W. Liu, D. Bryndin, E. S. Božin, J. Bloch, Th. Proffen, and S. J. L. Billinge, J. Phys.: Condens. Matter 19, 335219 (2007). 10.1088/0953-8984/19/33/335219
38. M. G. Tucker, D. A. Keen, M. T. Dove, A. L. Goodwin, and Q. Hui, J. Phys.: Condens. Matter 19, 335218 (2007). 10.1088/0953-8984/19/33/335218
39. H. E. Fischer, G. J. Cuello, P. Palleau, D. Feltin, A. C. Barnes, Y. S. Badyal, and J. M. Simonson, Appl. Phys. A: Mater. Sci. Process. 74, S160 (2002). 10.1007/s003390101087
40. H. H. Paalman and C. J. Pings, J. Appl. Phys. 33, 2635 (1962). 10.1063/1.1729034
41. I. A. Blech and B. L. Averbach, Phys. Rev. 137, A1113 (1965). 10.1103/PhysRev.137.A1113
42. J. L. Yarnell, M. J. Katz, R. G. Wenzel, and S. H. Koenig, Phys. Rev. A 7, 2130 (1973). 10.1103/PhysRevA.7.2130
43. K. Sköld, and, D. L. Price, Methods of Experimental Physics Vol. 23, (Academic, New York, 1986).
44. The choice of this Gaussian function is known to reduce the magnitude of the secondary oscillations without leading to a prohibitive supplementary broadening of the main one (see [B. Warren, X-ray diffraction (Dover, New York, 1991)]).
45. A r -dependence of the mean-square deviation of the interatomic distances has to be introduced for each type of atomic pairs, in order to take into account the correlations between the closest-neighbor thermal motions (see [I. K. Jeong, T. Proffen, F. Mohiuddin-Jacobs, and S. J. L. Billinge, J. Phys. Chem. A 103, 921 (1999)] and references therein). The relative thermal motions of two atoms are governed by their bond type, and hence are different in each material. Here, the choice of Eq. 4 as an expression of σ αβ 2 (r) allows to optimize the agreement between the experimental PDF of the reference compound BaZrO3 and the PDF calculated from its crystallographic structure. 10.1021/jp9836978
46. H. E. Fischer, A. C. Barnes, and P. S. Salmon, Rep. Prog. Phys. 69, 233 (2006). 10.1088/0034-4885/69/1/R05
47. A. Hüller, Solid State Commun. 7, 589 (1969). 10.1016/0038-1098(69) 90623-1
48. E. A. Stern, Phys. Rev. Lett. 93, 037601 (2004). 10.1103/PhysRevLett.93. 037601
49. R. E. Cohen, Nature (London) 358, 136 (1992). 10.1038/358136a0
50. N. de Mathan, E. Prouzet, E. Husson, and H. Dexpert, J. Phys.: Condens. Matter 5, 1261 (1993). 10.1088/0953-8984/5/9/011
51. A. I. Frenkel, F. M. Wang, S. Kelly, R. Ingalls, D. Haskel, E. A. Stern, and Y. Yacoby, Phys. Rev. B 56, 10869 (1997). 10.1103/PhysRevB.56.10869
52. B. Ravel, C. E. Bouldin, H. Renevier, J.-L. Hodeau, and J.-F. Berar, Phys. Rev. B 60, 778 (1999). 10.1103/PhysRevB.60.778
53. I. Levin, E. Cockayne, M. W. Lufaso, J. C. Woicik, and J. E. Maslar, Chem. Mater. 18, 854 (2006). 10.1021/cm0523438
54. V. Krayzman, I. Levin, J. C. Woicik, D. Yoder, and D. A. Fischer, Phys. Rev. B 74, 224104 (2006). 10.1103/PhysRevB.74.224104
55. D. Cao, I. K. Jeong, R. H. Heffner, T. Darling, J. K. Lee, F. Bridges, J. S. Park, and K. S. Hong, Phys. Rev. B 70, 224102 (2004). 10.1103/PhysRevB.70. 224102
56. H. J. A. Koopmans, G. M. H. van de Velde, and P. J. Gellings, Acta Crystallogr., Sect. C: Cryst. Struct. Commun. 39, 1323 (1983). 10.1107/S0108270183008392
57. S. Sasaki, C. T. Prewitt, and J. D. Bass, Acta Crystallogr., Sect. C: Cryst. Struct. Commun. 43, 1668 (1987). 10.1107/S0108270187090620
58. R. J. Nelmes and W. F. Kuhs, Solid State Commun. 54, 721 (1985). 10.1016/0038-1098(85)90595-2
59. A. M. Glazer, K. Roleder, and J. Dec, Acta Crystallogr., Sect. B: Struct. Sci. 49, 846 (1993). 10.1107/S0108768193005129
60. V. V. Shvartsman, W. Kleemann, J. Dec, Z. K. Xu, and S. G. Lu, J. Appl. Phys. 99, 124111 (2006). 10.1063/1.2207828
61. M. D. Glinchuk and I. V. Kondakova, Solid State Commun. 96, 529 (1995). 10.1016/0038-1098(95)00372-X
62. D. J. Singh, Phys. Rev. B 73, 094102 (2006). 10.1103/PhysRevB.73.094102
63. M. Suewattana and D. J. Singh, Phys. Rev. B 73, 224105 (2006). 10.1103/PhysRevB.73.224105