Tailoring piezoelectric properties using MgxZn1-xO/ZnO material and MgxZn1-xO/ZnO structures

[0001] This application claims priority to Provisional Application No. 60/344,360 filed on Jan. 4, 2002 and entitled Bulk Acoustic Wave Device.

[0003] This invention relates to the use of Mg_xZn_1-xO based materials and structures for acoustic devices, and more particularly, to the tailoring of the piezoelectric properties to achieve flexibility in the Surface Acoustic Wave (SAW) and Bulk Acoustic Wave (BAW) design and fabrication for applications in telecommunications and various sensors.

[0004] Currently, several technologies exist that provide modifying the piezoelectric properties in ZnO based multilayer structures. Theoretical analysis was reported for multilayers of two different materials (see E. K. Sittig Transmission Parameters of Thickness-Driven Piezoelectric Transducers Arranged in Multilayer Configurations, IEEE Trans. SU, SU-14 (4), 167, October 1967), and for off-axis ZnO multilayers (see E. Akcakaya, E. L. Adler, G. W. Farnell, Apodization of Multilayer Bulk-Wave Transducers, IEEE Trans. UFFC, 36(6), 628, November 1989 and E. Akcakaya, E. L. Adler, G. W. Farnell, Anisotropic Superlattice Transducers: Characteristics and Models, Proc. IEEE 1988 International Ultrasonics Symposium, 333, 1988). E. K. Sittig shows individual transducers consisting of multiplicity of piezoelectrically active layers electrically connected with conductive or non-conductive layers of different characteristics acoustic impedances. Akcakaya et al discloses calculating electromechanical characteristics of transducers consisting of multilayers of ZnO with alternating crystal orientation. BAW thin film resonators (TFRs) using sputter deposited off-axis ZnO multilayers with alternating crystal structure were demonstrated by J. S. Wang, K. M. Lakin, (Sputtered C-axis Inclined ZnO Films for Shear Wave Resonators, Proc. IEEE 1982 International Ultrasonics Symposium, 480, 1982) and by B. Hadimioglu, L. J. La Comb, Jr., L. C. Goddard, B. T. Khuri-Yajub, C. F. Quate, E. L. Ginzton, (Multilayer ZnO Acoustic Transducers at Millimeter-Wave Frequencies, Proc. IEEE 1987 International Ultrasonics Symposium, 717, 1987.) BAW TFRs using alternating multilayers of ZnO and non-piezoelectric materials were demonstrated by W. S. Hu, Z. G. Liu, R. X. Wu, Y. F. Chen, W. Ji, T. Yu, D. Feng, (Preparation of Piezoelectric-Coefficient Modulated Multilayer Film ZnO/Al₂O₃ and its Ultrahigh Frequency Response, Appl. Phys. Lett., 71(4), p. 548, July 1997). Piezoelectric property tailoring in the ternary compound Al_xGa_1-xN, was demonstrated by C. Deger, E. Born, H. Angerer, O. Ambacher, M. Stutzmann, J. Hornsteiner, E. Riha, G. Fischerauer, (Sound velocity of Al_xGa_1-xN thin films obtained by surface acoustic wave measurements, Appl. Phys. Lett., 72(19), p. 2400, May 1998). Deger et al shows determining SAW and BAW velocities in Al_xGa_1-xN thin films by tailoring the piezoelectric properties of Al_xGa_1-xN films. Y. F. Chen, S. N. Zhu, Y. Y. Zhu, N. B. Ming, B. B. Jin, R. X. Wu, High-frequency Resonance in Acoustic Superlattice of Periodically Poled LiTaO₃, Appl. Phys. Lett., 70(5), 592, February 1997 and H. Gnewuch, N. K. Zayer, C. N. Pannell, Crossed-Field Excitation of an Acoustic Superlattice with Matched Boundaries: Theory and Experiment, IEEE Trans, UFFC, 47(6), 1619, November 2000 describe a piezoelectric property tailoring method suitable only for those piezoelectric materials which are also ferroelectric materials facilitating construction of acoustic superlattice (ASL) and optic superlattice (OSL) devices.

[0005] Piezoelectric ZnO thin films have been used for multilayer SAW and BAW devices due to the high electromechanical coupling coefficients (see F. Moeller, T. Vandahl, D. C. Malocha, N. Schwesinger, W. Buff, Properties of thick ZnO layers on oxidized silicon, Proc. 1994 IEEE Int. Ultrasonics Symp., pp. 403-406; Kim, Hunt, Hickernell, Higgins, Jen, ZnO Films on 011-Cut <110>-Propagating GaAs Substrates for Surface Acoustic Wave Device Applications, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control, v. 42, no3, pp. 351-361, May 1995; H. Ieki, H. Tanaka, J. Koike, T. Nishikawa, Microwave Low Insertion Loss SAW Filter by Using ZnO/Sapphire Substrate with Ni Dopant, 1996 IEEE MTT-S Digest, pp. 409-412; and H. Nakahata, H. Kitabayashi, S. Fujii, K. Higaki, K. Tanabe, Y. Seki, S. Shikata, Fabrication of 2.5 GHz Retiming Filter with SiO₂/ZnO/Diamond Structure, Proc. 1996 IEEE Int. Ultrasonics Symp., pp. 285-288). Recently, the ternary compound magnesium zinc oxide (Mg_xZn_1-xO), formed by alloying ZnO with MgO, has attracted increasing interest for UV optoelectronic applications (see A. Ohtomo, M. Kawasaki, T. Koida, K. Masubuchi, H. Koinuma, Y. Sakurai, Y. Yoshida, T. Yasuda, Y. Segawa, Mg_xZn_1-xO as a II-VI widegap semiconductor alloy, Appl. Phys. Lett., vol. 72, n. 19, pp. 2466-2468, May 11, 1998; A. K. Sharma, J. Narayan, J. F. Muth, C. W. Teng, C. Jin, A. Kvit, R. M. Kolbas, O. W. Holland, Optical and structural properties of epitaxial Mg_xZn_1-xO alloys, Appl. Phys. Lett., vol. 75, n.21, pp. 3327-3329; and T. Minemoto, T. Negami, S. Nishiwaki, H. Takakura, Y. Hamakawa, Preparation of Zn_1-xMg_xO films by radio frequency magnetron sputtering, Thin Solid Films, vo. 372, pp. 173-176, Sep. 1, 2000). Its energy bandgap can be extended from 3.3 eV (ZnO) to 4.05 eV (Mg_0.35Zn_{0 65}O). Although the solid solubility limit of MgO in ZnO is less than 5% in equilibrium conditions, a higher range of Mg composition can be achieved using non-equilibrium growth methods.

[0006] Currently, the ZnO film thickness and the dimensions of the devices (such as SAW filters) were the only parameters available for modification, limiting the design flexibility, as well as the processing latitude. It would be useful to provide a SAW or a BAW device in which their characteristics can be tuned using other parameters.

[0007] The present invention provides a method of controlling piezoelectric properties in various acoustic devices. The method involves using Mg_xZn_1-xO film as a new piezoelectric material and adjusting Mg mole percent in the Mg_xZn_1-xO film to tailor piezoelectric properties in the Mg_xZn_1-xO film. Similarly, the method further involves using Mg_xZn_1-xO/ZnO as a new piezoelectric multilayer structure and adjusting Mg mole percent in the Mg_xZn_1-xO to tailor piezoelectric properties in the acoustic devices. Thus, the piezoelectric properties in ZnO based devices can be tailored by using Mg_xZn_1-xO/ZnO multiplayer structures as well as by using Mg_xZn_1-xO single layer with controlled Mg composition.

[0008] In addition to being piezoelectric, both ZnO and Mg_xZn_1-xO are wide-bandgap semiconductors. Thus piezoelectric and semiconductor devices can be integrated on the same material system. This leads to new classes of devices with integrated features and tunability.

[0009] FIG. 1 shows a cross-sectional field-emission scanning electron microscope image of a fractured surface of Mg_0.3Zn_{0 7}O thin film grown on r-Al₂O₃.

[0010] FIG. 2a shows a graph of Rutherford Back-Scattering spectra as a function of energy for Mg_0.25Zn_{0 75}O film grown on r-plane sapphire.

[0011] FIG. 2b shows a graph of transmission spectra as a function of wavelength for Mg_{0 25}Zn_0.75O film and ZnO film grown on r-plane sapphire, respectively.

[0012] FIG. 3 shows a semi-logarithmic plot of the X-ray -2 scan of Mg_0.15Zn_{0 85}O film grown on r-plane sapphire.

[0013] FIG. 4a shows a graph of calculated velocity dispersion versus the film thickness and frequency product for the Rayleigh wave mode propagating in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3.

[0014] FIG. 4b shows a graph of calculated piezoelectric coupling versus the film thickness and frequency product for the Rayleigh wave mode propagating in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3.

[0015] FIG. 5a shows a graph of calculated velocity dispersion versus the film thickness and frequency product for the Love wave mode propagating in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3.

[0016] FIG. 5b shows a graph of calculated piezoelectric coupling versus the film thickness and frequency product for the Love wave mode propagating in the Mg_xZn_1-xO/r-Al2O3 system, with x0 (ZnO), 0.1, 0.2 and 0.3.

[0017] FIG. 6a shows a graph of calculated velocity dispersion versus the film thickness and frequency product for the Sezawa wave mode propagating in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3.

[0018] FIG. 6b shows a graph of calculated piezoelectric coupling versus the film thickness and frequency product for the Sezawa wave mode propagating in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3.

[0019] FIG. 7 shows a graph of a comparison of the Rayleigh wave velocities obtained from a 1.4 m ZnO and a 1 m Mg_{0 15}Zn_0.85O film grown on r-Al₂O₃.

[0020] ZnO belongs to the wurtzite crystal group, and is a well-known piezoelectric material, which has been successfully used for surface acoustic wave (SAW) and bulk acoustic wave (BAW) devices. Whereas, MgO is a non-piezoelectric material with a cubic rocksalt structure. In comparison with ZnO, MgO has higher longitudinal and transverse bulk acoustic wave velocities. By alloying ZnO and MgO, one can get a ternary compound, Mg_xZn_1-xO. For Mg mole percent above 35%, the Mg_xZn_1-xO film has a cubic structure, which is not piezoelectric. Whereas, for the range of Mg mole percent below approximately 35% (x0.35), the Mg_xZn_1-xO crystal retains the wurtzite structure. In the present invention, it has been discovered that Mg_xZn_1-xO will be piezoelectric until the phase transition point as will be discussed in detail later.

[0021] The present invention provides a means for flexible design devices by controlling the Mg content in a piezoelectric Mg_xZn_1-xO film. In the films of the present invention, the acoustic velocity increases, whereas the piezoelectric coupling decreases with increasing Mg composition. Thus, in an embodiment of the present invention, the piezoelectric properties in ZnO based devices can be tailored by using Mg_xZn_1-xO/ZnO multilayer structures as well as by using Mg_xZn_1-xO single layer with controlled Mg composition.

[0022] In a broad aspect of the present invention, Mg_xZn_1-xO films, with preferably up to 35% Mg, are grown by metalorganic chemical vapor deposition (MOCVD) on r-Al₂O₃ substrates using a vertical rotating-disc MOCVD reactor. The MOCVD system and process used for Mg_xZn_1-xO films are similar to that for ZnO as shown by C. R. Gorla, N. W. Emanetoglu, S. Liang, W. E. Mayo, Y. Lu, M. Wraback, H. Shen, Structural, optical, and surface acoustic wave properties of epitaxial ZnO films grown on (01-12) sapphire by metalorganic chemical vapor deposition, J. Appl. Phys., vol. 85, n. 5, pp. 2595-2602, Mar. 1, 1999. Diethyl zinc (DEZn) and MCP)₂Mg are the precursors for Zn and Mg, respectively. O₂ is the oxidizer. A very thin ZnO buffer layer approximately 50 nm is first grown, followed by the Mg_xZn_1-xO film layer at a temperature preferably in the range of 400-500 C. In the experiments, the films' thicknesses ranged preferably from 0.35 m to 1.5 m. The resistivity of the films increases with increasing the Mg composition (x). The as-grown films were conductive, and in current work, a solid source Li diffusion process was developed to be used for the composition doping to increase the resistivity above 10⁷ -cm to achieve good piezoelectricity. The piezoelectric properties of the Mg_xZn_1-xO are achieved by in situ compensation doping during deposition of the Mg_xZn_1-xO and ex-situ compensation doping after deposition of the Mg_xZn_1-xO. In this case, as mentioned earlier, Li, Lithium was used for doping. Even though MOCVD is the process used to grow the Mg_xZn_1-xO films, it is to be noted that Mg_xZn_1-xO films can also be grown by deposition technologies including but not limited to pulse-laser deposition (PLD), molecular beam epitaxy (MBE), and sputtering.

[0023] Referring to FIG. 1, in an embodiment of the present invention, there is shown a field-emission scanning electron microscope (FE-SEM) picture of a Mg_0.3Zn_0.7O film 10 grown on r-plane Al₂O₃ 12 with a thin ZnO buffer layer (can not be seen in the FIG. 1 due to very small thickness). The film is smooth and dense. As discussed above, thin ZnO buffer layer is first grown on r-plane Al₂O₃ substrate 12. Then Mg_0.3Zn_{0 7}O is grown on the ZnO buffer layer. The film's Mg composition is determined using Rutherford Back-Scattering (RBS) and optical absorption/transmission measurements as shown in FIG. 2. FIG. 2(a) is the RBS spectrum of a Mg_{0 25}Zn_{0 75}O film with 25% Mg mole percent grown on r-plane sapphire substrate. The solid line is the simulated results and the dotted line is the measured data. As apparent from the graph, the simulation and experimental data are almost the same. Shown in FIG. 2(b) is the optical transmission spectrum of the Mg_{0 25}Zn_{0 75}O film. A ZnO film's optical transmission spectrum is also shown for comparison. It can be seen that the cut-off wavelength has a shift with increasing Mg mole percent, going from 373 nm for ZnO with 0% Mg content to 330 nm for Mg_0.25Zn_0.75O with 25% Mg content.

[0024] FIG. 3 shows the X-ray -2 scan of Mg_{0 15}Zn_{0 85}O film grown on r-plane sapphire. This plot of the X-ray -2 scan determines two critical features of the Mg_xZn_1-xO films. One is the crystal structure and the other is the epitaxial quality of the Mg_xZn_1-xO films. The full width half maximum (FWHM) of the X-ray diffraction double crystal diffractometer rocking curve of the film is 0.27. X-ray results confirm that the Mg_xZn_1-xO films have the same wurtzite structure as ZnO for Mg mole percent below 35%. X-ray -2 scans show the Mg_xZn_1-xO films have epitaxial quality, and have the same epitaxial relationships with the substrate as ZnO on r-Al₂O₃. The epitaxial relationships between the film and the substrate are (11{overscore (2)}0) Mg_xZn_1-xO//(01{overscore (1)}2) Al₂O₃ and (0001) Mg_xZn_1-xO//(0{overscore (1)}11) Al₂O₃. Thus, the c-axis of the Mg_xZn_1-xO films is in the growth plane. The secondary peak shown in FIG. 3 is due to the misfit strain near the film substrate interface, which is accommodated in the ZnO buffer. This is the transition phase from ZnO buffer to Mg_xZn_1-xO film.

[0025] In the present invention, preferably, two types of test devices are designed, a set of delay lines of different wavelengths with regular IDTs, and a set of delay lines with harmonic transducers. The first set of delay lines use quarter wavelength, for example, 6, 8 and 10 m, while the second set uses split-electrode, for example, 12, 16 and 20 m transducers. Two delay lines with IDT center-to-center distance of 1000 and 2000 m are used for each wavelength. Three types of harmonic transducers are designed. The first type having 12 and 15 m uses a standard two ground electrodes i.e., one signal electrode design to suppress every third harmonic. The second type having 12 m was designed to excite the first four harmonics, while the third type having 14 m was designed to excite the first six harmonics. The IDT apertures are 180 m for all devices. The piezoelectric properties have in-plane anisotropy, as a result of the Mg_xZn_1-xO c-axis being in the surface plane. The test devices are aligned parallel and perpendicular to the c-axis of the Mg_xZn_1-xO films, to generate both Rayleigh and Love wave modes, respectively. Rayleigh-type wave modes propagating parallel to the c-axis are used for gas-phase sensing, whereas Love type wave modes propagating perpendicular to the c-axis are used for liquid-phase sensing. Rayleigh-type wave modes have higher acoustic velocities than that of Love-type wave modes. However, Love-type wave modes are advantageous for sensors operating in liquid environments, due to the surface horizontal wave motion. Thus, Love waves propagate with low loss in a liquid, while Rayleigh waves are rapidly attenuated due to viscous losses.

[0026] The device fabrication process consists of e-beam evaporation of 1500 of Al, followed by photolithography and etching to form the IDTs. This was followed by image reversal photolithography, e-beam evaporation of 5000 of Al, and lift-off to form bond pads. The devices were then tested on-wafer using a Cascade Microtech probe station and a HP 8753D network analyzer. The measured data were exported to a PC, and compared with simulation results using MATLAB. The acoustic velocity was inferred from the data using the relationship v_SAWf_c0, where f_c is the center frequency, and ₀ is the design wavelength.

[0027] SAW properties of the Mg_xZn_1-xO/r-Al₂O₃ system, including v_SAW and k², were simulated using the transfer matrix method disclosed by E. L. Adler, Matrix methods applied to acoustic waves in multilayers, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control, vol. 37, no. 6, pp. 485-490, November 1990).

[0028] In order to simulate the SAW properties, the relevant Mg_xZn_1-xO material constants, including mass density, stiffness, piezoelectric and dielectric constants, need to be determined. To date, experimentally measured values for Mg_xZn_1-xO material constants are not available, as it is a new material. So, these constants were calculated by using the material constants of the binary compounds ZnO and MgO as shown in Table 1 below. MgO and ZnO belong to different crystal groups. In order to calculate the material constants of the ternary, the cubic MgO material constants, such as stiffness coefficients, have to be transformed to the wurtzite phase. Based on Martin's method (see R. M. Martin, Relation between elastic tensors of wurtzite and zinc-blende structure materials, Phys. Rev. B., vol. 6, no. 12, pp. 4546-4553, Dec. 15, 1972), simplified stiffness coefficient vectors for the cubic (c^ZB) and wurtzite (c^WZ) phases are first defined:

[0029] c₁^ZBc₁₁^ZB,c₂^ZBc₁₂^ZB,c₃^ZBc₄₄^ZB

[0030] c₁^WZc₁₁^WZ,c₂^WZc₃₃^WZ,c₃^WZc₁₂^WZ,c₄^WZc₁₃^WZ,c₅^WZc₄₄^WZ,c₆^WZc₆₆^WZ

[0031] The equations relating the two vectors are:

[0032] {overscore (c)}^WZ are the average stiffness coefficients related to the cubic phase coefficients with the transformation matrix P: $\begin{array}{c}{\stackrel{\_}{c}}_i^{\mathrm{WZ}}=\underset{j=1}{\overset{3}{}}{P}_{\mathrm{ij}}{c}_j^{\mathrm{ZB}}\\ P=\frac{1}{6}\left[\begin{array}{ccc}3& 3& 6\\ 2& 4& 8\\ 1& 5& -2\\ 2& 4& -4\\ 2& -2& 2\\ 1& -1& 4\end{array}\right]\end{array}$

[0033] D is the internal strain contribution related to the average stiffness equations: $\begin{array}{c}D={\left[\frac{{}^2}{{\stackrel{\_}{c}}_5^{\mathrm{WZ}}},0,\frac{-{}^2}{{\stackrel{\_}{c}}_5^{\mathrm{WZ}}},0,\frac{{}^2}{{\stackrel{\_}{c}}_6^{\mathrm{WZ}}},\frac{{}^2}{{\stackrel{\_}{c}}_5^{\mathrm{WZ}}}\right]}^T\\ =\underset{j=1}{\overset{3}{}}{Q}_j{c}_j^{\mathrm{ZB}}\\ Q=\frac{\sqrt{2}}{6}\left[1-1-2\right]\end{array}$

[0034] The Mg_xZn_1-xO material constants were then estimated using the first order approximation of Veggard's law:

[0035] where C is the appropriate material constant. The ZnO and MgO material constants used in the calculations are given in Table 1 below. The ZnO material constants were taken from the publication, J. G. Gualtieri, J. A. Kosinski, A. Ballato, Piezoelectric Materials for Acoustic Wave Applications, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control, vol. 41, n.1, 53-59, January 1994, and MgO constants from the publication, B. A. Auld, Acoustic Fields and Waves in Solids, Volume 1, 2^nd ed., Krieger Publishing Company, Malabar, Fla., 1990, Appendix 2. It should be noted that two sets of ZnO material constants are provided, one for bulk and for sputter deposited films. The bulk ZnO constants are used in the present invention due to the high quality of the epitaxial ZnO films on sapphire (see C. R. Gorla, N. W. Emanetoglu, S. Liang, W. E. Mayo, Y. Lu, M. Wraback, H. Shen, Structural, optical, and surface acoustic wave properties of epitaxial ZnO films grown on (01-12) sapphire by metalorganic chemical vapor deposition, J. Appl. Phys., vol. 85, n. 5, pp. 2595-2602, Mar. 1, 1999), and because they give a better fit for measured data (see N. W. Emanetoglu, G. Patounakis, S. Liang, C. R. Gorla, R. Wittstruck, Y. Lu, Analysis of SAW Properties of Epitaxial ZnO Films Grown on r-Al₂O₃ Substrates, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control, vol. 48, n.5, 1389-94, September 2001).

TABLE 1
ZnO and MgO material properties
	ZnO	MgO
Crystal structure	Wurtzite	Rock Salt
Stiffness constants	c11 2.09; c33 2.106;	c11 2.86; c12 0.87;
1011 N/m2	c12 1.205; c13 1.046;	c44 1.48
	c44 0.423; c66 0.4455
Dielectric constants	11 8.55; 33 10.2	11 9.6
(constant strain)
Density kg/m3	5665	3650
Piezoelectric	e15 0.48; e31 0.573;	Not piezoelectric
stress constants	e33 1.32
C/m2

[0036] FIG. 4 presents the calculated velocity dispersion and piezoelectric coupling curves vs. the film thickness to frequency product (hf) also known as wavelength ratio (h/) for the Rayleigh wave mode in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3. Solid line is represented by ZnO with x0 i.e., zero Mg mole percent while dashed lines represent Mg_xZn_1-xO with x0.1, 0.2 and 0.3, i.e. 10%, 20% and 30% Mg mole percent respectively. As shown in FIG. 4a, for small values of hf, most of the energy of the SAW propagates in the sapphire substrate, and the velocity difference among the different compositions of Mg_xZn_1-xO is quite small. At large hf values, the acoustic velocity difference becomes significant, up to approximately 721 m/s between ZnO and Mg_0.3Zn_{0 7}O for hf5000 or h/1. However, as shown in FIG. 4b, the diminishing effect of the Mg content on the piezoelectric coupling is apparent even at low values of hf. The maximum coupling coefficient (k²) for the Rayleigh wave in ZnO/r-Al₂O₃ is 1.89% at hf2720, while the maximum coupling coefficient in Mg_{0 3}Zn_0.7O/r-Al₂O₃ is 0.68% at hf3340.

[0037] FIG. 5 presents the calculated velocity dispersion and piezoelectric coupling curves vs. the hf product for the Love wave mode in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3. The Love wave mode behavior is similar to the Rayleigh wave behavior discussed above. The acoustic velocity difference is approximately 758 m/s between ZnO and Mg_0.3Zn_0.7O for hf5000 as seen in FIG. 5a. The maximum coupling coefficient (k²) for the Love wave in ZnO/r-Al₂O₃ is 6.46% at hf860, while the maximum coupling in Mg_{0 3}Zn_0.7O/r-Al₂O₃ is 1.66% at hf1190 as seen in FIG. 4a. In general, the piezoelectric coupling coefficient of the Love mode of Mg_xZn_1-xO is higher than that of the Rayleigh mode.

[0038] The Sezawa wave mode, which is the first higher order Rayleigh-type wave mode, is of special interest in the ZnO/r-Al₂O₃ system, as it has a high maximum piezoelectric coupling at a high velocity. Shown in FIG. 6 are the calculated velocity dispersion and piezoelectric coupling curves vs. the hf product for the Sezawa wave mode in the Mg_xZn_1-xO/r-Al₂O₃ system, with x0 (ZnO), 0.1, 0.2 and 0.3. The maximum coupling for the Sezawa wave in ZnO/r-Al₂O₃ is 6.03% at hf1510 with a phase velocity of 5655.3 m/s, while the maximum coupling in Mg_0.3Zn_{0 7}O/r-Al₂O₃ is 0.7% at hf3400 with a phase velocity of 5736.5 m/s. Thus, the maximum coupling of the Sezawa mode is similar to that of the Love wave mode in ZnO, with a much higher velocity. However, the Sezawa wave mode's maximum coupling decreases much faster than that of the Love wave mode as the Mg composition increases.

[0039] SAW testing devices are fabricated on ZnO, Mg_0.1Zn_0.9O, Mg_0.15Zn_0.85O and Mg_0.32Zn_0.68O thin films grown on r-Al₂O₃. FIG. 7 compares the Rayleigh wave velocities obtained from a 1.4 m ZnO and a 1 m Mg_{0 15}Zn_{0 85}O film grown on r-Al₂O₃. The experimental data are normalized by using the hf product. Simulation results are plotted with a solid line for ZnO and dashed line for Mg_0.15Zn_{0 85}O, while the measurement results are plotted with x for ZnO and for Mg_{0 15}Zn_{0 85}O. It is very clear that there is an increase in the SAW velocity for Mg_{0 15}Zn_0.85O compared to ZnO with zero Mg mole percent.

[0040] Similarly, BAW testing devices (not shown) are also fabricated on ZnO and Mg_xZn_1-xO films grown on r-Al₂O₃. As discussed above, the amount of Mg mole percent in the Mg_xZn_1-xO film is selected to tailor the piezoelectric characteristics including piezoelectric coupling coefficients and acoustic velocity. Furthermore, the Mg_xZn_1-xO multilayer structures are used to tailor the BAW characteristics which include resonant frequency and shape of the frequency passband.

[0041] While the invention has been described in related to the preferred embodiments with several examples, it will be understood by those skilled in the art that various changes may be made without deviating from the fundamental nature and scope of the invention as defined in the appended claims.