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High Temperature X-Ray Diffraction Study of Sol-Gel Derived Pb(ZrxTi1-x)O3 Powders

Published online by Cambridge University Press:  06 March 2019

M.J. Haun
Affiliation:
Materials Research Laboratory The Pennsylvania State University University Park, PA 16802
Y.H. Lee
Affiliation:
Materials Research Laboratory The Pennsylvania State University University Park, PA 16802
H.A. McKinstry
Affiliation:
Materials Research Laboratory The Pennsylvania State University University Park, PA 16802
L.E. Cross
Affiliation:
Materials Research Laboratory The Pennsylvania State University University Park, PA 16802
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Abstract

The lattice parameters of sol-gel derived Pb(ZrxTi1-x)O3 powders were determined as a function of temperature using a microcomputer automated Picker x-ray diffractometer. The spontaneous strain was calculated from the lattice parameters, and used with other experimental data to develop a thermodynamic phenomenological theory for the PZT solid solution system. A second tricritical point, where the transition changes front first to second order, was found to occur near or possibly at the morphotropic phase boundary between the tetragonal and high temperature rhombohedral phases. Using an equation derived from the theory, the spontaneous tilt angle of the oxygen octahedra in the low temperature rhombohedral phase was calculated from the experimental spontaneous strain data.

Type
IX. High Temperature and Non-Ambient Powder Diffraction Applications
Copyright
Copyright © International Centre for Diffraction Data 1986

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References

1. Jaffa, B., Cook, W., and Jaffe, H., “Piezoelectric Ceramics”, Academic Press, London, p. 135 (19711)Google Scholar
2. Clarke, R., Glazer, A.M., Ainger, F.W.,Apple, D. by, Poole, N.X., and Porter, S.G., Phase Transitions in Lead Zirconate-Titanate and Their Applications in Thermal Detectors, Ferroelectries 11: 359 (1976).Google Scholar
3. Amin, A., Haun, M.J., Badger, B., McKinstry, H.A., and Cross, L. E., A Phenomenological Gibbs Function for the Single Cell Region of the PbZrOg:PbTiO2 Solid Solution System, Ferroelectrics 65: 107 (1985).Google Scholar
4. Haleuane, T.R., Haun, H.J., Cross, L.E., and wnham, R.E.N., A Phenomenological Theory for Phase Transitions in Perovskite Ferroelectrics with Oxygen Octahedron Tilts, Ferroelectrics 62: 149 (1985).Google Scholar
5. Haun, M.J., Halemane, T.R., Newnham, R.E., and Cross, L.E., A Phenomenological Theory for the FbZrO2PbTiOg Solid Solution System with the Spontaneous Polarization and Oxygen Octahedral Tilt Angle as Order Parameters, Proceedings of the Sixth International Meeting on Ferroe1 ectricity, Kobe, Japan, Jon. J. Atinl. Phys. 24(2):209 (1985).Google Scholar
6. Haun, M.J., Zhuang, Z.O., Jang, S.J., McKinstry, H.A., and Cross, L.E., A henomenological Theory for the Second Order Transition Region of the PZT Solid Solution System, Proceedings of the 1986 IEEE. International Symposium on the Applications of Ferroelectrics in the Transaction of the IEEE. ltrasonics, Ferroelectrics and Frequency Control Society (accepted).Google Scholar
7. Lenain, G.E., McKinstry, H.A., and Limaye, S.T., Low Thermal Expansion of Alkali Zirconium Phosphates Using a Microcomputer Automated Diffractometer, Advances in X-Ray Analysis 28: 345 (1985).Google Scholar
8. McKinstry, H.A., Low Thermal Gradient High Temperature Furnace for X-Ray Diffractometers, J. Appl. Phys. 41(13):5074 (1970).Google Scholar
9. Zhuang, Z.Q., Haun, M.J., Jang, S.J., and Cross, L.E., Low Temperature Dielectric, Piezoelectric, and Elastic Properties of Pure (Undoped) PZT Ceramics, Proceedings of the 1986 IEEE International Symosium on the Applications of Ferroelectrics in the IEEE. ltrasonics, Ferroelectrics and Frequency Control Society (accepted).Google Scholar
10. Cullity, B., “Elements of X-Ray Diffraction Second Edition”, Addisontfesley Publishing Co., Inc., Reading, MA. pp. 350368 (1978).Google Scholar
11. Michel, C., Moreou, J., Achenbach, G.A., Gerson, R., and James, W.J., Atomic Structure of Two Rhombohedral Ferroelectric Phases in the Pb(Zr, Ti)03 Solid Solution Series, Solid State Comm. 7: 865 (1969).Google Scholar
12. Glazer, A.M., Mabud, S.A., and Clarke, R., Powder Profile Refinement of Lead Zirconate Titanate at Several Temperatures. I. PbZr02.Ti02O3, Acta Crvst. B34;1060 (1978).Google Scholar
13. Amin, A., Newnham, R.E., Cross, L.E. and Cox, D.E., Phenomenological and Structural Study of a Low-Temperature Phase Transition in the PhZr03-PbTi03 System, J. Solid State Chem. 37: 248 (1981).Google Scholar