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Piezoelectric materials parameters for piezoelectric thin films in GHz applications

Published online by Cambridge University Press:  15 May 2009

P. Muralt*
Affiliation:
Ceramics Laboratory, Ecole Polytechnique Federale de Lausanne EPFL, Lausanne, Switzerland
J. Conde
Affiliation:
Ceramics Laboratory, Ecole Polytechnique Federale de Lausanne EPFL, Lausanne, Switzerland
A. Artieda
Affiliation:
Ceramics Laboratory, Ecole Polytechnique Federale de Lausanne EPFL, Lausanne, Switzerland
F. Martin
Affiliation:
Ceramics Laboratory, Ecole Polytechnique Federale de Lausanne EPFL, Lausanne, Switzerland
M. Cantoni
Affiliation:
Electron Microscopy Center, Ecole Polytechnique Federale de Lausanne EPFL, Switzerland.
*
Corresponding author: P. Muralt E-mail: paul.muralt@epfl.ch
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Abstract

Piezoelectric thin films have existing and promising new applications in microwave filter technologies. The final performance depends on many parameters, and very specifically on the materials properties of each involved material. In this article, materials and properties for thin-film bulk acoustic wave resonators are discussed on some selected issues: the piezoelectric coefficients and acoustic losses of AlN, the relation of the first one with microstructural parameters, the inclusion of parasitic elements, and the merits of and problems with ferroelectric materials.

Information

Type
Original Article
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2009
Figure 0

Fig. 1. Schematic drawing of a bulk acoustic resonance in a piezoelectric plate. The vertical dimension is very exaggerated. In the vibrating, active zone, the pressure amplitude for the fundamental mode is sketched. The trapped wave has half the wavelength within the slab thickness.

Figure 1

Table 1. Relevant materials parameters for TFBAR applications for the two most used wurtzite thin films, as derived from standard literature data [18, 19].

Figure 2

Table 2. Materials constants of AlN from different sources. Standard data from epitaxial films on sapphire are compared to ab initio calculations and data from polycrystalline thin films (bold: primary data; italics: derived data).

Figure 3

Fig. 2. Dark-field TEM image showing an AlN(001) thin film on a Pt(111) electrode. The epitaxial growth on single Pt grains is well visible (film as described in ref. [22]).

Figure 4

Fig. 3. TEM diffraction at the same AlN film as shown in Fig. 2. The diffraction pattern does not show any orientation other than (001).

Figure 5

Fig. 4. Longitudinal piezoelectric coefficient d33,f as derived from interferometric measurements as a function of the rocking curve width of AlN thin films (from [22]). The varied process parameter was the deposition time, i.e. film thickness. Thicker films show a higher d33,f .

Figure 6

Fig. 5. Same data as in Fig. 4. This time, d33,f is displayed as a function of the in-plane coherence length according to the modified Scherrer equation (see [34, 35]) L// = 0.94λ/(Δω sin θ), where θ means the diffraction angle, Δω the rocking curve width, and λ the X-ray wavelength.

Figure 7

Fig. 6. Complete resonator model with series and parallel resistors Rs and Rp, a parallel capacitance Cp, and a parallel resistance Rd corresponding to dielectric losses. The resonator Y corresponds to the 2D finite-element model (from ref. [17]).

Figure 8

Fig. 7. TFBAR quality factor Q of a SiO2/AlN/SiO2 composite resonator. The dotted line predicts the resonator performance based on finite-element modeling including acoustic losses, but without resistive losses. The filled square marks correspond to FEM calculation including the parasitic elements (as in Fig. 6). The round dots are experimental data (from [17]).

Figure 9

Fig. 8. TFBAR based on a 2 μm thick sol–gel PZT thin film resonating at 800 MHz. The coupling constant is shown as a function of a DC field applied to the resonator (from ref. [44]).

Figure 10

Fig. 9. Permittivity ɛ of a piezoelectric ceramic resonator (after [50]).

Figure 11

Fig. 10. Schematic drawing of 90° domain within c-axis-oriented tetragonal ferroelectric film.