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Piezoceramic Materials

Typical Parameters of Piezoelectric Ceramics

  1. The data in the following tables was determined using test bodies with geometries and dimensions in accordance with European Standard EN 50324 2, and are typical values.
  2. The data given represents nominal values which were determined on these test bodies 24 h - 48 h after polarization and at an ambient temperature 23±2 °C.
  3. Conformance to these typical values is documented by constant testing of the individual material batches before they are released.
  4. The properties of the products are determined in relation to the geometry, variations of the manufacturing process and measurement or control conditions.
  5. Questions regarding interpretation of the material properties of a product are best clarified with PI Ceramic's specialists.
  6. A complete coefficient matrix of the materials is available on request.
Material type   PIC
151
PIC
255
PIC
155
PIC
153
PIC
152
PIC
181
PIC
141
PIC
241
PIC
300
PIC
110
 
Parameter                      
Physical and Dielectric Properties
Density r (g/cm3) 7,80 7,80 7,80 7,60 7,70 7,80 7,80 7,80 7,80 5,50
Curie Temperature Tc (oC) 250 350 345 185 340 330 295 270 370 150
Permittivity in the polarization direction
perpendicular to the polarity
e33T/e0 2400 1750 1450 4200 1350 1200 1250 1650 1050 950
e11 T/ e0 1980 1650 1400     1500 1500 1550 950  
Dielectric loss factor tan (10 -3) 20 20 20 30 15 3 5 5 3 15
Electromechanical Properties
Coupling factors kp   0,62 0,62 0,62 0,62 0,48 0,56 0,55 0,50 0,48 0,30
kt   0,53 0,47 0,48     0,46 0,48 0,46 0,43 0,42
k31   0,38 0,35 0,35     0,32 0,31 0,32 0,25 0,18
k33   0,69 0,69 0,69   0,58 0,66 0,66 0,64 0,46  
k15     0,66       0,63 0,67 0,63 0,32  
Piezoelectric charge constants d31
(10-12 C/N)
-210 -180 -165     -120 -140 -130 -80 -50
d33 500 400 360 600 300 265 310 290 155 120
d15   550       475 475 265 155  
Piezoelectric voltage constants g31 (10-3 Vm/N) -11,5 -11,3 -12,9     -11,2 -13,1 -9,8 -9,5  
g33 22 25 27 16 25 25 29 21 16 -11,9
Acousto-mechanical properties
Frequency constants Np (Hzm) 1950 2000 1960 1960 2250 2270 2250 2190 2350 3150
N1 1500 1420 1500     1640 1610 1590 1700 2300
N3 1750   1780     2010 1925 1550 1700 2500
Nt 1950 2000 1990 1960 1920 2110 2060 2140 2100  
Elastic constants (compliance) S11E (10-12 m2/N) 15,0 16,1 15,6     11,8 12,4 12,6 11,1  
S33E 19,0 20,7 19,7     14,2 13,0 14,3 11,8  
Elastic constants (stiffness) C33D ( 1010 N/m2) 10,0   11,1     16,6 15,8 13,8 16,4  
Mechanical quality factor Qm 100 80 80 50 100 2000 1500 1200 1400 250
Temperature stability
Temperature coefficient of eT33
(in the range -20°C up to +125°C)
TK e33 (x10-3 /K) 6 4 6 5 2 3 5   2  
Aging stability (relative change of the parameter per decade in %)
Relative dielectric constant Ce (%)   -1,0 -2,0       -4,0     -5,0
Coupling factor CK   -1,0 -2,0       -2,0     -8,0
Additional Information:

The following values are valid approximations for all PZT materials from PI Ceramic.

 Spezific heat capacity HC = approx. 350 Jkg-1 K -1
 Spezific termal conductivity TC = approx. 1,1 Wm-1 K -1
 Poisson's Ratio = approx. 0,34
 Coefficient of thermal expansion 3 = approx. - 4 to - 6 x 10-6 K-1 (in the polarization direction, shortened)
1 = 4 to 8 x 10-6 K-1 ( to the polarization direction , shorted)
 Static compressive strength > 600 MPa