1997
DOI: 10.1143/jjap.36.5580
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Crystal Orientation Dependence of Piezoelectric Properties in Lead Zirconate Titanate: Theoretical Expectation for Thin Films

Abstract: Crystal orientation dependence of piezoelectric properties has been calculated phenomenologically for lead zirconate titanate (PZT) in the three-dimensional space. The calculation has been made for tetragonal PZT 40/60 (40% PZ and 60% PT) and rhombohedral PZT 60/40 compositions. The maximum longitudinal piezoelectric constant d 33 and electromechanical coupling factor k 33 in the rhombohedral composition were found to be at 57° and 51° angles, respectively, ca… Show more

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Cited by 174 publications
(102 citation statements)
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“…The relative dielectric constant is known to be higher for the (100)-oriented film than for the (111)-oriented film. 16,17 These results are in good agreement with the theoretical expectations and also show fairly good values, which are comparable with the results obtained from dense PZT films deposited using a multiple sol-gel-coating process 18 or reactive radio frequency sputtering. 19 The piezoelectric properties of the PZN-PZT thick films were measured using B4.0 mm thick PZN-PZT films (deposited six times) deposited by a 1:10 diol solution, and pyrolyzed and annealed at B2501 and 7001C, respectively.…”
Section: Resultssupporting
confidence: 88%
“…The relative dielectric constant is known to be higher for the (100)-oriented film than for the (111)-oriented film. 16,17 These results are in good agreement with the theoretical expectations and also show fairly good values, which are comparable with the results obtained from dense PZT films deposited using a multiple sol-gel-coating process 18 or reactive radio frequency sputtering. 19 The piezoelectric properties of the PZN-PZT thick films were measured using B4.0 mm thick PZN-PZT films (deposited six times) deposited by a 1:10 diol solution, and pyrolyzed and annealed at B2501 and 7001C, respectively.…”
Section: Resultssupporting
confidence: 88%
“…5 However, if there is an angle between normal to the film plane and the polarization vector, the effective piezoelectric coefficient d zz measured in VPFM is not equal to d 33 nor is it proportional to spontaneous polarization. [19][20][21][22][23] This is especially a concern when dealing with polycrystalline ferroelectric thin films with randomly oriented grains or with polarization fixed at an angle from the direction normal to the surface.…”
Section: Methodsmentioning
confidence: 99%
“…This technique has been used in an exhaustive manner to understand nanoscale ferroelectric domain structure, 3-9 polarization relaxation, 10-14 domain-wall creep, 15 piezoelectric properties, [16][17][18][19][20] scaling effects, 17,21,22 reliability issues, 23,24 and properties of individual grains. 25 Although there are reports that correlate piezoresponse of the ferroelectric thin film to the possible crystallographic orientations, 7,26,27 there is scarce information on how the crystallography of each individual grain affects the polarization relaxation. In this letter, we use the technique of PFM, first to identify polar axis-and nonpolar axis-oriented grains, and then further study the polarization relaxation of such individual grains.…”
mentioning
confidence: 99%
“…Figure 1͑a͒ is a plot of the effective out-of-plane piezoelectric coefficient ͑d zz ͒ as a function of the angle of deviation between the polar axis and the film surface normal. The exact correlation for a tetragonal system between the d zz and the d 33 is given as: 26,27 …”
mentioning
confidence: 99%