Electrical Properties Of Ceramic Materials
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Lab Report 3: Electrical Properties of Ceramic Materials
Lab III: Physical Properties of Materials
By Will Paxton
3/5/07
Abstract
The electrical properties of 5 different samples were studied. Characterization of these samples was through the dielectric properties, as this is a very important step. The capacitance was measured for each sample incrementally while heating them up to 135Ð'Ñ"C. In a second part to the experiment, piezoelectric samples were studied, and their piezoelectric coefficient was calculated.
Introduction
The objective of the experiment was to measure and interpret dielectric constants for 5 known materials. The ceramics used were Al2O3, AlN, PZT, SiO2 glass, and BeO. In order to determine the dielectric constant, a GenRad 1689 Digibride RLC apparatus was used to measure the capacitance. When a dielectric material is placed between the plates of a capacitor, an increase of charge storage capacity is expected. This is due to the polarization within the dielectric material itself, aiding in storing the charge at the plates. The methodology of the experiment was simple and straightforward. First off, the geometry was determined for all of the ceramics by measuring the thickness and plate area. Once the apparatus was calibrated, their capacitance was measured at 1 KHz, 10 KHz, and 100 KHz. Lastly, the ceramics were placed on a multi-sample holder and inserted into an oven. While the samples were heated to 135Ð'Ñ"C, the capacitance was measured 10 steps along the way. It was expected that the dielectric constant of the ceramics would increase proportionally to the increase of temperature.
Another separate objective of the experiment was to measure and interpret the piezoelectric coefficients of 3 known piezoelectric materials. The piezoelectrics used in the experiment were 840, 850, and 880. The piezoelectric coefficient was simply measured using a Pennebaker Model 8000 Piezo d33 Tester. The Piezo tester applies a pressure to the sample which, in turn, generates a charge. By utilizing a variable capacitor, an AC voltage is obtained from Q = CV. The AC voltage is then measured on a Digital Multi-Meter with a value equal to X 10-12 C/N. It was expected that the readings from the Piezo tester were to be close, if not equal, to the given values.
Results
The samples were measured for thickness (d) and area (A). The micrometer used was old, and an offset of .005 in was observed. All data was corrected for this offset and was converted to centimeters for calculations.
Table 1. Capacitor geometry
material measured thickness actual thickness d, thickness A, area
in, inches in, inches cm, centimeters cm2, square centimeters
Al2O3 0.0205 0.0155 0.03937 6.25
AlN 0.02 0.015 0.0381 6.25
PZT 0.039 0.034 0.08636 4.52
SiO2 0.0075 0.0025 0.00635 4.84
BeO 0.025 0.02 0.0508 9
Table 2. Dielectric constants measured for multiple frequencies
Material 1 KHz 10 KHz 100 KHz
κ, Dielectric Constant κ, Dielectric Constant κ, Dielectric Constant
Al2O3 0.863 0.958 0.950
AlN 6.527 6.409 6.229
PZT 350.842 340.673 372.776
SiO2 0.170 0.161 0.159
BeO 6.470 6.426 6.372
Table 3. Dielectric constants of heated samples
temperature Al2O3 AlN PZT SiO2 BeO
Ð'Ñ" C κ, Dielectric Constant κ, Dielectric Constant κ, Dielectric Constant κ, Dielectric Constant κ, Dielectric Constant
26 6.583 6.527 352.979 0.179 6.398
31 6.553 6.259 50.253 0.171 6.402
35 6.555 6.487 363.082 0.168 6.373
39 6.533 6.618 369.408 0.211 6.375
51 6.542 6.445 385.168 0.225 6.442
59 6.605 6.519 396.999 0.254 6.469
66 6.613 6.667 408.506 0.277 6.474
81 5.954 6.591 428.259 1.534 6.483
102 6.414 6.564 476.381 1.573 6.522
137 6.657 6.584 592.184 1.697 6.895
Below are two figures for Dielectric Constant (κ) versus Temperature. The data for PZT is included on a separate graph because is it much higher than the others. This was to optimize readability of the graphs by grouping those materials within a standard range of dielectric values.
Figure 1. Dielectric constant of all materials excluding PZT
Figure 2. Dielectric constant of PZT
Table 4. Piezoelectric data collected
material measured
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