The present invention generally concerns piezoelectric thin-film resonators. The present invention more specifically concerns such resonators comprising an integral tuning fork, at least a first electrode arranged on each vibrating arm of the tuning fork, at least one thin film of piezoelectric material formed on each vibrating arm over the first electrode, and at least a second electrode formed on each vibrating arm over the piezoelectric thin film; the first and second electrodes being connected in such a way that applying of an alternating voltage causes the tuning fork to vibrate.
Resonators corresponding to the above definition are known from the prior art. Patent document U.S. Pat. No. 7,002,284 discloses a piezoelectric thin-film resonator comprising a tuning fork having at least two tines (also called vibrating arms) and at least one stem (or base) coupling the tines. The tuning fork is made out of silicon. It is obtained by etching a (110) crystal plane Si wafer. A first electrode in the form of a 0.5 μm metal layer is arranged over the Si crystal on each tine of the tuning fork. A 2-3 μm-thick layer of piezoelectric lead zirconate titanate (PZT) is formed on each tine over the first electrode. Finally, a second electrode in the form of a 0.3 μm layer of titanium and gold is formed on each tine over the PZT thin film.
One known problem with this type of resonator made from silicon is that the Young Modulus for silicon has a relatively large temperature coefficient (TCE). The TCE is approximately −60 ppm/° C. This means that a silicon crystal substantially softens with increasing temperature. Therefore, when a tuning fork resonator is made from a silicon crystal, its mechanical resonant frequency will drift considerably in case of an increase or a decrease in ambient temperature. A variety of approaches have been implemented for addressing this problem. In particular, patent document US 2007/0277620 teaches that the tuning fork can be a silicon-silicon dioxide composite structure. For example, silicon can form the core of the structure, while amorphous silicon dioxide is formed over the silicon and substantially surrounds the silicon. It happens that the TCE for amorphous silicon dioxide is positive, while the TCE for elemental silicon is negative. Therefore, by giving the silicon dioxide layer the proper thickness, it is possible to compensate for the frequency drift associated with changes in temperature. The actual thickness of the amorphous silicon dioxide coating that is formed on the surfaces of the silicon is generally between 5% and 10% of the thickness of the silicon.
One drawback of this known method for producing thermally compensated thin-film resonators is that the additional step of forming the silicon dioxide coating can considerably lengthen and complicate the entire production process.
It is therefore an object of the present invention to provide a piezoelectric thin-film tuning fork resonator having a limited temperature induced frequency drift, without using a composite structure for the tuning fork.
To this end, the piezoelectric thin-film tuning fork resonator according to the present invention comprises an integral tuning fork formed by a base and a pair of parallel vibrating arms extending from said base, each of said vibrating arms carrying:
first and second electrodes provided on at least one main surface of the arm, said first and second electrodes being formed respectively on an inner portion and on an outer portion of said one main surface, in such a way as to be spaced apart,
first and second piezoelectric thin films formed over the first and second electrodes respectively,
third and fourth electrodes formed over the first and second piezoelectric thin films respectively,
wherein the tuning fork is made out of a quartz crystal.
Although the temperature frequency coefficient of quartz depends on the cut, the thermal stability of a quartz crystal is generally considerably superior to that of a silicon crystal. Furthermore, it is known to cut quartz tuning forks in such a way that the frequency vs. temperature function reaches a maximum at room temperature. An advantage of such quartz tuning forks is that the first order temperature coefficient affecting the frequency is zero at room temperature. Therefore, there is no need to combine the quartz with a compensation material to mitigate the temperature-related frequency drift.
According to a particular embodiment of the present invention, the first and second piezoelectric thin films are thin films of aluminum nitride (AlN). The thickness of the first and second piezoelectric thin films is preferably in the range between 2 and 10 μm; most preferably 3 μm. Indeed, the static capacitance of a thin film tuning fork resonator is inversely proportional to the thickness of the thin films. Increasing the thickness of the piezoelectric thin film above 2 μm allows reducing the static capacitance and increasing the figure of merit. On the other hand, the thickness of the thin films is limited to approximately 10 μm by the growing time of the AlN layer as well as by the necessity to avoiding excessive motional resistance.
According to another embodiment of the present invention, the first, second, third and fourth electrodes are adapted to be connected to electronic circuitry for making each vibrating arm oscillate in the plane defined by the parallel arms. According to this embodiment, the first piezoelectric thin film runs along an inner edge of the arm and is contiguous to it, and the second piezoelectric thin film runs along an outer edge of the arm and is contiguous to it. An advantage of this arrangement is that it allows maximizing the motional capacitances of the resonator. Indeed, the motional capacitance of a thin film tuning fork resonator is proportional to the surface area of the electrodes weighed by the piezoelectric charge distribution, and the piezoelectric charge distribution itself closely corresponds to the stress distribution within the piezoelectric thin films. Simulations show that the peak values of piezoelectric charge density occur at the inner and outer edges of the vibrating arms. Therefore, any gap existing between the thin films and the edges of the vibrating arms should be the smallest possible, preferably zero.
According to a preferred version of the previous embodiment, the first and second piezoelectric thin films are formed in the shape of two strips bordering the inner and outer edges respectively, the strips being tapered towards the free end of the vibrating arm in order to maximize the motional/static capacitance ratio.
According to still other embodiments of the present invention, the layout of the first and second electrodes is specifically designed to take advantage of the piezoelectric nature of quartz. According to these particular embodiments, piezoelectric polarization of the quartz forming the vibrating arms reinforces the polarization of the piezoelectric thin films. An advantage of such an arrangement is that it allows further increasing the figure of merit of the oscillator.
Other features and advantages of the present invention will appear upon reading the following description, given solely by way of non-limiting example, and made with reference to the annexed drawings, in which:
In the illustrated example, the free end of each vibrating arm 44, 46 carries a flipper (referenced 52 and 54 respectively). By adding mass to the end of the vibrating arms, the flippers make it possible to reduce the length of the arms without altering the performances of the resonator. The presence of the flippers also ensures a better distribution of the mechanical stress along the arms.
As previously mentioned, the illustrated resonator comprises a central arm 50 that is located between arms 44 and 46 and is connected to the base 48. Central arm 50 is a fixing arm that is used for fixing resonator 40 to a support. As shown, the width of central arm 50 is preferably slightly more than twice that of an arm 44 or 46 of the tuning fork shaped part. Furthermore, the length of central arm 50 is less then that of arms 44 and 46, so as to provide clearance for the flippers 52, 54. It should be understood however that the present invention applies equally well to resonators that do not comprise a central arm and/or do not comprise flippers.
According to the present invention, first and second piezoelectric thin films are arranged on at least one main surface of each vibrating arm 44, 46. In the present description, the expression “main surface” is used to designate one or the other of the two surfaces of each arm, which are parallel to the plane of the resonator. In other words, the main surfaces of the vibrating arms correspond to the top and bottom sides of the arms as shown in
With reference to
A quartz crystal substrate is first formed to a predetermined thickness. Then, a first metal film is formed over the top and bottom surfaces of the substrate. The metal film can be made from any adequate metal or alloy, platinum for example. The film can be formed using a vacuum deposition method, or sputtering, or any other adequate method known to the person skilled in the art. A piezoelectric thin film is then grown over the entire surface of the top and bottom metal films. The piezoelectric thin films are preferably AlN. However, any other appropriate piezoelectric material can be used for the thin films. The thickness of the piezoelectric thin films preferably lies in the range between 2 and 10 μm; most preferably approximately 3 μm. A second metal film, possibly chromium, is then deposited over the entire surface of each piezoelectric thin film. Preferably, a third metal film made of gold (Au) is then formed over the second metal film on both sides of the substrate.
The entire surface of the outermost metal films is then covered with a photoresist, and the photoresist is patterned to form an etching mask on either side of the substrate. The structure formed by the substrate and the various films formed over its main surfaces is then etched layer by layer, by means of wet or dry etching. The result is a batch of tuning-fork shaped resonators. The remaining photoresist is then removed from the resonators (for example by immersing them in a solvent) exposing the metal films. The resulting structure is represented in cross-section in
Referring again to
One will understand that the four structures formed each by a first electrode 62, a third electrode 70 and a first piezoelectric thin film 66 sandwiched between them, correspond to the first piezoelectric strips 56 mentioned in relation to
As shown in
As previously explained, a first piezoelectric strip 56 is located on the inner portion of the top and bottom main surfaces of each arm 44, 46, and a second piezoelectric strip 58 is located on the outer portion. It follows that whenever the first piezoelectric strips are expanding (longitudinally), the second piezoelectric strips are shrinking, and the two vibrating arms are forced to bend outwards, away from the central arm 50. Conversely, whenever the first piezoelectric strips 56 are shrinking, the second piezoelectric strips 58 are expanding, and the vibrating arms are forced to bend inwards, in the direction of the central arm 50. An advantage of this arrangement of piezoelectric strips is that there is hardly any coupling between the desired flexion mode of oscillation and other modes of oscillation. It should be understood however that by arranging or connecting the piezoelectric thin films differently, it is possible to make the arms vibrate in a different flexure mode or in a torsion mode, a shearing mode, etc.
According to the present invention, the vibrating arms of the resonator are made out of a quartz crystal. As quartz crystal is a piezoelectric material, whenever the vibrating arms bend inwards or outwards, a piezoelectric effect causes the surfaces of the vibrating arms to be polarized. The arrows shown in
As the alternating piezoelectric polarization of the bulk quartz is in phase with the polarization of the piezoelectric thin films 66, 68, the two polarization effects are susceptible to reinforce each other in such a way as to increase the figure of merit of the oscillator. However, the piezoelectric coefficient of AlN is a great many times that of quartz. Furthermore, the arrangement of the electrodes illustrated in
The thin-film tuning fork resonator schematically represented in
The thin-film tuning fork resonator schematically represented in
The thin-film tuning fork resonator schematically represented in
It will be understood that various alterations and/or improvements evident to those skilled in the art could be made to the embodiment that forms the subject of this description without departing from the scope of the present invention defined by the annexed claims. In particular, the electrodes 362 and 364 described in relation to the above-described fourth embodiment could be introduced into the second embodiment (as shown in