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time stability of mechanical and dielectric parameters in the pzt type ...

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308 Zachariasz R., Czerwiec M., Ilczuk J.<br />

generators, delay-l<strong>in</strong>e transducers, wave filters, piezoelectric micromotors, microrobots,<br />

actuators, etc. [1-6].<br />

In <strong>the</strong> figure 1, <strong>the</strong> dependences <strong>of</strong> <strong>the</strong> basic <strong>parameters</strong> <strong>of</strong> PZT ceramics as a function <strong>of</strong><br />

concentration <strong>of</strong> PbTiO 3 are presented [7]. We can observe seven characteristic areas for PZT<br />

ceramics:<br />

I – materials used <strong>in</strong> high frequency transducers with low value <strong>of</strong> <strong>the</strong> <strong>dielectric</strong> permittivity ε<br />

(200÷500) <strong>and</strong> high value <strong>of</strong> <strong>the</strong> electro<strong>mechanical</strong> coupl<strong>in</strong>g coefficient k p ,<br />

II – transducers with high sensitivity <strong>and</strong> high value <strong>of</strong> <strong>the</strong> g ij modulus, used <strong>in</strong> accelerators,<br />

defectoscopes, devices <strong>of</strong> medical diagnostics <strong>and</strong> memory – devices,<br />

III – low frequency transducers with high value <strong>of</strong> <strong>the</strong> <strong>dielectric</strong> permittivity ε <strong>and</strong><br />

electro<strong>mechanical</strong> coupl<strong>in</strong>g coefficient k p as well as high values <strong>of</strong> <strong>the</strong> tangent <strong>of</strong> <strong>dielectric</strong> loss<br />

angle tgδ,<br />

IV <strong>and</strong> V – ferroelectric hard materials with high resistance on <strong>the</strong> electrical <strong>and</strong> <strong>mechanical</strong><br />

<strong>in</strong>fluences, materials used <strong>in</strong> electroacoustic transducers, piezotransformers, piezomotors,<br />

VI – materials with high value <strong>of</strong> <strong>the</strong> <strong>stability</strong> <strong>of</strong> <strong>the</strong> resonance frequency used <strong>in</strong> filters <strong>and</strong><br />

selective devices,<br />

VII – high-temperature transducers with high values <strong>of</strong> <strong>the</strong> Curie temperature above 693 K.<br />

This materials are used <strong>in</strong> transducers, whose work<strong>in</strong>g temperature carries out about 590 K.<br />

∆ f r / f r<br />

(213-358K)<br />

Re<br />

MR<br />

(Re+T)<br />

T<br />

2 σ<br />

k ij Q<br />

m<br />

σ<br />

Q m<br />

Q m<br />

γ<br />

g ij<br />

k ij<br />

d ij<br />

σ<br />

ε / ε 33 0<br />

I<br />

II<br />

III<br />

IV<br />

V<br />

VI<br />

VII<br />

PbTiO<br />

3<br />

Fig. 1. The dependences <strong>of</strong> <strong>the</strong> basic <strong>parameters</strong> <strong>of</strong> PZT ceramics as a function<br />

<strong>of</strong> concentration <strong>of</strong> PbTiO 3 [7]

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