CA2237497A1 - Selected overtone resonator with two or more coupled resonant thicknesses - Google Patents

Selected overtone resonator with two or more coupled resonant thicknesses Download PDF

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Publication number
CA2237497A1
CA2237497A1 CA 2237497 CA2237497A CA2237497A1 CA 2237497 A1 CA2237497 A1 CA 2237497A1 CA 2237497 CA2237497 CA 2237497 CA 2237497 A CA2237497 A CA 2237497A CA 2237497 A1 CA2237497 A1 CA 2237497A1
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Canada
Prior art keywords
section
half wave
resonator
wave lengths
blank
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Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Abandoned
Application number
CA 2237497
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French (fr)
Inventor
Thane Smith
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M Tron Industries Inc
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M Tron Industries Inc
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Publication of CA2237497A1 publication Critical patent/CA2237497A1/en
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Classifications

    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H9/00Networks comprising electromechanical or electro-acoustic devices; Electromechanical resonators
    • H03H9/02Details
    • H03H9/02007Details of bulk acoustic wave devices
    • H03H9/02062Details relating to the vibration mode
    • H03H9/0207Details relating to the vibration mode the vibration mode being harmonic
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H9/00Networks comprising electromechanical or electro-acoustic devices; Electromechanical resonators
    • H03H9/15Constructional features of resonators consisting of piezoelectric or electrostrictive material
    • H03H9/17Constructional features of resonators consisting of piezoelectric or electrostrictive material having a single resonator
    • H03H9/177Constructional features of resonators consisting of piezoelectric or electrostrictive material having a single resonator of the energy-trap type

Abstract

A dual overtone resonator is formed that allows easier establishment of a resonant frequency, which is an overtone of the fundamental frequency of at least one of the sections of the crystal. The resonator includes a first section having a first thickness and a second section having a second thickness. The first thickness and the second thickness are selected to cause the nodes and the antinodes of the crystal to align when the crystal is stimulated. The first section has a thickness an even number of half wave lengths thicker than the second section. The first and second sections have a thickness equal to a prime number of half wave lengths. The alignment of the nodes and antinodes allows the first section and the second section to resonate at the same frequency.

Description

CA 02237497 1998-0~-13 SELECTED OVERTONE RESONATOR WITH TWO OR MORE COUPLED
RESONANT THICKNESSES

BACKGROUND OF THE INVENTION

1. Field of the Invention.
This invention relates in general to resonators, and more particularly to a piezoelectric resonator tuned to respond at a specific overtone o'f its parallel plate resonant frequency.
2. Description of Related Art.
Crystals are widely used in frequency control applications because of their unequaled combination of high Q, stability and small size. The Q values of crystal units are much higher than those ~tt~in~ble with other circuit elements. In general-purpose crystal units, typical Q's are in the range of 104 to 1 o6.
Some crystals, in particular qwartz crystals, are highly anisotropic, that is, their properties vary greatly with crystallographic direction. For example, when a quartz sphere is etched in hydrofluoric acid, the etching rate is more than 100 times faster along the fastest etching rate direction, the Z-direction, than along the slowest direction, the slow-X-direction. The constants of quartz, such as the thermal expansion coefficient and the temperature coefficients of the elastic con~t~nt~, also vary with direction. That crystal units can have zero temperature coefficients of frequency is a consequence of the temperature coefficients of the elastic constants ranging from negative to positive values.
The locus of zero-temperature-coefficient cuts in quartz 100 is shown in Fig.
1 a. The X 102, Y 104, and Z 106 directions have been chosen to make the description of properties as simple as possible. The Z-axis 106 in Fig. la is an axis of threefold symmetry in quartz; in other words, the physical properties repeat every 120~ as the crystal is rotated about the Z-axis 106. The cut may comprise a singly rotated cuts 120 and double rotated cuts 130 having angles ~ 140 and ~ 142.
Fig. 1 b illustrates the relationship 150 of several different quartz cuts. The cuts usually have two-letter names, where the "T" in the name indicates a temperature-compensated cut. For instance, the AT-cut 160 was the first temperature-compensated cut discovered. The FC 162, IT 164, BT 166, and RT 168 cuts are other cuts along the zero temperature coefficient locus. These cuts were studied before the discovery of the SC cut 170 for some special properties, but are rarely used today. Today, the highest-stability crystal oscillators employ SC cut 170 or AT cut 160 crystal units.

CA 02237497 1998-0~-13 A crystal typically includes suitably mounted and electroded plates of crystalline quartz using bulk acoustic wave (BAW) vibrations. The plates, also called wafers or blanks, are fabricated at a precise orientation with respect to the crystallographic axes of the quartz material. Originally quartz plates were madeS from natural quartz, but today cultured quartz is used almost exclusively.
The cut and geometry of the quartz plate determine the resonator frequency for a chosen mode of vibration of the plate. In general the plate resonant frequency is inversely related to a plate dimension. Extension, face shear, flexure and thickness are typical types of vibration. The cut and type of vibration are intim~tely 10 related and can be classified as low frequency or high frequency depending on the range of resonant frequencies over which they are commonly used.
When designing an oscillator with stringent stability requirement.c, the stability and accuracy of quartz frequency control is required. Quartz plates show a mechanical movement or strain when subjected to an electrical charge. Conversely, 15 they show a potential difference between the two faces when subjected to a mechanical stress. This relationship is known as the piezoelectric effect. Because of its electro-mechanical properties, a crystal placed in an oscillator circuit can be made to oscillate both mechanically and electrically, with its resonant frequency determined primarily by its mechanical dimensions.
Normally quartz crystals have a uniform thickness between the electrodes.
However, a quartz plate will resonate vigorously when the driving frequency results in an odd number [1,3,5,7, etc.] of acoustic half-wavelengths between the plates.
The number of half wavelengths in a uniformly thick area is known as the "overtone number". At resonance "standing waves" occur that include, at fixed positions, 25 nodes (planes of zero amplitude), and antinodes (plains of maximum amplitude).
The lowest resonant frequency of a crystal, known as the "fundamental frequency", is inversely proportional to the thickness of the crystal. There arepractical limits to how thin a crystal can be made. Thus, for high frequencies, a high "overtone," which is very nearly an integer multiple of the fundamental frequency, is 30 desired. This integer multiple of the fundamental frequency is referred to as the overtone number. The term " 15' overtone" will be used herein to mean the fundamental frequency since one times this frequency is the same frequency.
Quartz crystal accuracy and stability far surpass the performance obtained by circuits utili7.ing conventional capacitors, inductors, and resistors. A typical two-35 point mount package 200 for a crystal is shown in Fig. 2. The crystal consists of a quartz blank 202 with a metal electrode 204 on each of the two major surfaces. The electrodes 204 are connected to mounting clips 206 at a bonding area 208. The CA 02237497 1998-0~-13 mounting clips 206 couple the crystal to a leaded header or base 210. At a laterstage, the crystal is encapsulated by welding a cover 220 over the assembly.
This crystal behaves electrically as the circuit in Fig. 3. This circuit is called the equivalent circuit for the crystal. The mechanical losses of the crystal appear as 5 an equivalent series resistance~ R1 302, while the mechanical elasticity of the crystal is equivalent to a series capacitor, C, 304. C0 306 is the parallel capacitance associated with the holder and the electrode capacitance. The frequency of a crystal operating at series resonance is given by:

f~ 2rI~
At series resonance the reactance of C, 304 and L, 310 are equal and opposite.
Thus, the net reactance of the series circuit is zero. At this point the crystal appears as a resistance R, 302.
It is known to tune resonators so that they respond to a specific overtone of its parallel plate resonant frequencies. One approach is reduce the blank diameter to 15 degrade its response at the fundamental and higher modes below the desired overtone frequency and to increase its response at the frequency of the desired overtone. Another approach is to apply mass loading in the form of a metal ring.Fig. 4 illustrates this mass loading structure 400. In Fig. 4, a metal ring 402 substantially circumscribes a top electrode 404 over a quartz blank 406. A similar 20 pattern is also applied to the bottom of the quartz blank 406.
Nevertheless each of the above methods has its disadvantages. The first method leads to the blank diameter becoming inconveniently small thereby causingproblems in manufacturing. In the second method, the metal ring 402 introduces unwanted parasitic capacity in the resonator circuit which can reduce the output25 power and degrade the oscillator quality factor (Q).
It can be seen that there is a need for a resonator that allows easier establishment of a resonant frequency.
It can also be seen that there is a need for a resonator tuned to respond at a specific overtone frequency.
SUMMARY OF THE INVENTION
To overcome the limitations in the prior art described above, and to overcome other limitations that will become ~palelll upon reading and understanding the present specification, the present invention discloses a dual 35 overtone crystal.

CA 02237497 1998-0~-13 The present invention solves the above-described problems by providing a resonator that allows easier establi~hment of a resonant frequency. While the present invention is primarily described with reference to quartz crystals, those skilled in the art will readily recognize that the invention is equally applicable to any piezoelectric material. Moreover, those skilled in the art will recognize that the present invention is equally applicable to a dielectric resonator.
A system in accordance with the principles of the present invention includes a first section having a first thickness and a second section having a second thickness.
The first thickness and the second thickness are selected to cause the nodes and the 10 antinodes of the crystal to align when the cr,vstal is stimulated.
Other embodiments of a system in accordance with the principles of the invention may include alternative or optional additional aspects. One such aspect of the present invention is that the first section has a thickness an even number of half wave lengths thicker than the second section.
Another aspect of the present invention is that the first and second sections have a thickness equal to a prime number of half wave lengths.
Another aspect of the present invention is that the alignment of the nodes and antinodes allows the first section and the second section to resonate at the same frequency.
These and various other advantages and features of novelty which characterize the invention are pointed out with particularity in the claims annexed hereto and form a part hereof. However, for a better understanding of the invention, its advantages, and the objects obtained by its use, reference should be made to the drawings which forrn a further part hereof, and to accompanying descriptive matter, in which there are 25 illustrated and described specific examples of an apparatus in accordance with the invention.

BRIEF DESCRIPTION OF THE DRAWINGS
Referring now to the drawings in which like reference numbers represent 30 corresponding parts throughout:
Fig. 1 a illustrates the locus of zero-temperature-coefficient cuts in quartz;
Fig. lb illustrates the relationship of several different quartz cuts, Fig. 2 illustrates a typical two-point mount package;
Fig. 3 illustrates an equivalent circuit for a crystal;
Fig. 4 illustrates a mass loading method for increasing the response of the blank at the frequency of the desired overtone;
Fig. 5 illustrates a face view of a dual overtone resonator according to the present invention; and CA 02237497 1998-0~-13 Figs. 6a-i illustrate different embodiments of a dual overtone resonator according to the present invention.

DETAILED DESCRIPTION OF THE INVENTION
In the following description of the exemplary embodiment, reference is made to the accompanying drawings which form a part hereof, and in which is shown by way of illustration the specific embodiment in which the invention may be practiced.
It is to be understood that other embodiments may be utilized as structural changes may be made without departing from the scope of the present invention.
The present invention provides a plate having a thinner and a thicker portion that causes the nodes and the antinodes in the two portions to align.
The present invention solves the above-described problems by providing a resonator that allows easier establi~hment of a resonant frequency. While the present invention is primarily described with reference to quartz crystals, those 15 skilled in the art will readily recognize that the invention is equally applicable to any piezoelectric material. Moreover, those skilled in the art will recognize that the present invention is equally applicable to a dielectric resonator.
Fig. 5 illustrates a face view 500 of a dual overtone resonator according to the present invention. A first charge electrode area 502 has a thickness associated 20 with a first overtone. A second charge electrode area 504 has a thickness associated with a higher overtone. In Fig. 5, the thickness of the first charge electrode area 502 is seven half wave lengths. The thickness of the second electrode charge area 504 has a thickness of five half wave lengths.
Thus according to the invention, a crystal oscillator structure may be formed 25 having a thin area 504 and a thicker area 502 under the electrode plates. Thethickness of the thicker portion 502 must be an even number of half wave lengthsgreater than that of the thinner section 504. The thinner section 504 must be aligned with the thicker section 502 such that the nodes and the antinodes in the two sections 502, 504 will be perfectly aligned. If the half wave length numbers in each section 30 are prime, then the frequency spectrum of the resonator will be restricted to the lowest frequency that resonates simultaneously in both section and the odd numbered overtones of that frequency. In this case, both areas 502, 504 of the crystal will resonate. If the entire area between electrodes can resonate at a given frequency, establishment of resonance at this frequency is much easier than if only 35 part of this area can resonate. Thus, for the case of three or more half wavelengths in the thinner area 504, the lowest resonance that is easily established is an overtone of the fundamental frequency of the thinner section 504.

CA 02237497 1998-0~-13 Figs. 6a-i illustrate different embodiments 600 of a dual overtone resonator according to the present invention. In Figs. 6a-i, the thicker portion 602 always has a thickness of seven half wave lengths. However, those skilled in the art will recognize that the invention is not limited to a dual overtone resonator having a thick portion of seven half wave lengths. Other embodiments may be developed which are consistent with the teaçhing of the invention, i.e., forming a crystal having two different thicknesses which result in the nodes and the antinodes in the two sections becoming perfectly aligned. Furthermore, those skilled in the art will recognize that the placement of thicker and thinner portions described herein below could be 10 reversed.
Figs. 6a-b illustrate 7,5 dual overtone resonator 610. In Fig. 6a, the thinner portion 612 of the dual overtone resonator is formed by m~t~hining a flat circular hole 614 of two half wave lengths in a first face 604 of the plate resulting in a thinner portion 612 of five half wave lengths. The depth chosen in machining the15 circular hole 614 should be uniform over the area of the bottom. Fig. 6b illustrates a 7,5 dual overtone resonator wherein flat circular holes 616, 618 of one half wave length each are machined on both sides 604, 606 of the resonator. Those skilled in the art will recognize that the machining method is not meant to be limited to any method in particular. For example, m~hininp is most often accomplished by 20 masked chemical etching, but a laser or ion-beam machining method could also be used.
Figs. 6c-e illustrate 7,3 dual overtone resonator 630. In Fig. 6c, the thinner portion 632 of the dual overtone resonator is formed by machining a flat circular hole 634 of four half wave lengths in a first face 604 of the plate resulting in a 25 thinner portion 632 of three half wave lengths. Fig. 6d illustrates a dual overtone resonator wherein a first hole 636 is m~çhined on a first side 604 of the resonator to a depth of three half wave lengths. Then a second hole 638 is m~hined on the second side 606 of the resonator to a depth of one half wave length. Thus, the thinner portion 632 has a thickness of three half wave lengths.
Fig. 6e illustrates a dual overtone resonator wherein a first hole 640 is machined on a first side 604 of the resonator to a depth of two half wave lengths.
Then a second hole 642 is machined on the second side 606 of the crystal to a depth of two half wave lengths. Again, the thinner portion 636 has a thickness of three half wave lengths.
Figs. 6f-i illustrate 7,1 dual overtone resonators 650. In Fig. 6f, the thinner portion 652 of the dual overtone resonator is formed by machining a flat circular hole 654 of six half wave lengths in a first face 604 of the quartz plate resulting in a thinner portion 652 of one hali'wave length. Fig. 6g illustrates a dual overtone CA 02237497 1998-0~-13 resonator wherein a first hole 656 is m~rhined on a first side 604 of the resonator to a depth of five half wave lengths. Then a second hole 658 is m~ ined on the second side 606 of the crystal to a depth of one half wave length. Thus, the thinner portion 652 has a thickness of one half wave lengths.
Fig. 6h illustrates a dual overtone resonator wherein a first hole 660 is m~r.l~ined on a first side 604 of the resonator to a depth of four half wave lengths.
Then a second hole 662 is machined on the second side 606 of the resonator to a depth of two half wave lengths. Again, the thinner portion 652 has a thickness of three half wave lengths.
Finally, Fig. 6i illustrates a dual overtone resonator wherein a first hole 664 is machined on a first side 604 of the resonator to a depth of three half wave lengths.
Then a second hole 666 is m~ ined on the second side 606 of the resonator to a depth of three half wave lengths. Again, the thinner portion 652 has a thickness of three half wave lengths.
In summary, a resonator may be formed which has two or more sections with each having a different thickness and alignment with one another that results in the nodes and the antinodes in the two sections becoming perfectly aligned. The thickness of the thicker portion is an even number of half wave lengths greater than the thinner section. Further, if the half wave length numbers are both prime, the 20 lowest possible frequency where perfect ~lignment occurs is a specific overtone of the thinner section and a higher specific overtone of the thicker section. There will also be a series of higher frequencies where perfect alignment occurs which are odd overtones of the lowest frequency. However, those skilled in the art will recognize that other embodiments having dimensions which have not been illustrated may be 25 developed which are consistent with the teaching of the invention. Moreover, those skilled in the art will recognize that then invention is not meant to be limited to circular-shaped crystals. Other crystal shapes in accordance with the invention could be utili7t~-1, e.g., rectangular (AT strip).
The foregoing description of the exemplary embodiment of the invention has 30 been presented for the purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise forrn disclosed. Many modifications and variations are possible in light of the above teaching. It is intended that the scope of the invention be limited not with this detailed description, but rather by the claims appended hereto.

Claims (38)

1. A resonator plate, comprising:
a first section having a first thickness; and a second section having a second thickness, the first thickness and the second thickness being resonant at different overtones of a first frequency at a position of the second section with respect to the first section being selected to cause the nodes and the antinodes of the resonator to align when the resonator is stimulated.
2. The resonator plate of claim 1 wherein the first section has a thickness an even number of half wave lengths thicker than the second section.
3. The resonator plate of claim 2 wherein the first and second sections have a thickness equal to a prime number of half wave lengths.
4. The resonator plate of claim 2 wherein the alignment of the nodes and antinodes allows the first section and the second section to resonate at the same frequency.
5. The resonator plate of claim 1 wherein the first and second sections have a thickness equal to a prime number of half wave lengths.
6. The resonator plate of claim 1 wherein the alignment of the nodes and antinodes allows the first section and the second section to resonate at the same frequency.
7. The resonator plate of claim 1 wherein the first section has a thickness of seven half wave lengths.
8. The resonator plate of claim 7 wherein the second section has a thickness of five half wave lengths.
9. The resonator plate of claim 8 wherein the second section is formed by machining a flat circular hole of two half wave lengths in one face of a plate resulting in a thinner portion of five half wave lengths.
10. The resonator plate of claim 8 wherein the second section is formed by machining a flat circular hole of one half wave length on both sides of the blank.
11. The resonator plate of claim 7 wherein the second section has a thickness of three half wave lengths.
12. The resonator plate of claim 11 wherein the second section is formed by machining a flat circular hole of four half wave lengths in one face of the plate resulting in a thinner portion of three half wave lengths.
13. The resonator plate of claim 11 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of three half wave lengths and machining a second hole in the second side of the blank to a depth of one half wave length.
14. The resonator plate of claim 11 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of two half wave lengths and machining a second hole in the second side of the blank to a depth of two half wave lengths.
15. The resonator plate of claim 7 wherein the second section has a thickness of one half wave lengths.
16. The resonator plate of claim 15 wherein the second section is formed by machining a flat circular hole of six half wave lengths in one face of the plate resulting in a thinner portion of one half wave length.
17. The resonator plate of claim 15 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of five half wave lengths and machining a second hole in the second side of the blank to a depth of one half wave length.
18. The resonator plate of claim 15 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of four half wave lengths and machining a second hole in the second side of the blank to a depth of two half wave lengths.
19. The resonator plate of claim 15 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of three half wave lengths and machining a second hole in the second side of the blank to a depth of three half wave lengths.
20. A resonator, comprising:
a blank having piezoelectric properties, wherein the blank oscillates when stimulated;
a plurality of electrodes, coupled to the blank, for providing a signal to the blank to cause the blank to become stimulated and oscillate at a fundamental frequency;
a base for providing leads to the resonator; and mounting clips, coupled to the electrodes, for providing a signal path between the leads of the base and the electrodes and for holding the blank in position;
wherein the blank further comprises a first section having a first thickness and a second section having a second thickness, the first thickness and the second thickness being resonant at different overtones of a first frequency at a position of the second section with respect to the first section being selected to cause the nodes and the antinodes of the blank to align when the blank is stimulated.
21. The resonator of claim 20 wherein the first section has a thickness an even number of half wave lengths thicker than the second section.
22. The resonator of claim 21 wherein the first and second sections have a thickness equal to a prime number of half wave lengths.
23. The resonator of claim 21 wherein the alignment of the nodes and antinodes allows the first section and the second section to resonate at the same frequency.
24. The resonator of claim 20 wherein the first and second sections have a thickness equal to a prime number of half wave lengths.
25. The resonator of claim 20 wherein the alignment of the nodes and antinodes allows the first section and the second section to resonate at the same frequency.
26. The resonator of claim 20 wherein the first section has a thickness of seven half wave lengths.
27. The resonator of claim 26 wherein the second section has a thickness of five half wave lengths.
28. The resonator of claim 27 wherein the second section is formed by machining a flat circular hole of two half wave lengths in one face of a plate resulting in a thinner portion of five half wave lengths.
29. The resonator of claim 27 wherein the second section is formed by machining a flat circular hole of one half wave length on both sides of the blank.
30. The resonator of claim 26 wherein the second section has a thickness of three half wave lengths.
31. The resonator of claim 30 wherein the second section is formed by machining a flat circular hole of four half wave lengths in one face of the plate resulting in a thinner portion of three half wave lengths.
32. The resonator of claim 30 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of three half wave lengths and machining a second hole in the second side of the blank to a depth of one half wave length.
33. The resonator of claim 30 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of two half wave lengths and machining a second hole in the second side of the blank to a depth of two half wave lengths.
34. The resonator of claim 26 wherein the second section has a thickness of one half wave lengths.
35. The resonator of claim 34 wherein the second section is formed by machining a flat circular hole of six half wave lengths in one face of the plate resulting in a thinner portion of one half wave length.
36. The resonator of claim 34 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of five half wave lengths and machining a second hole in the second side of the blank to a depth of one half wave length.
37. The resonator of claim 34 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of four half wave lengths and machining a second hole in the second side of the blank to a depth of two half wave lengths.
38. The resonator of claim 34 wherein the second section is formed by machining a first hole in a first side of the blank to a depth of three half wave lengths and machining a second hole in the second side of the blank to a depth of three half wave lengths.
CA 2237497 1997-05-15 1998-05-13 Selected overtone resonator with two or more coupled resonant thicknesses Abandoned CA2237497A1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US85657397A 1997-05-15 1997-05-15
US08/856,573 1997-05-15

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Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB328152A (en) * 1929-06-07 1930-04-24 Kolster Radio Corp Method of producing oscillations from piezo electric plates
KR920005610B1 (en) * 1985-04-11 1992-07-09 도오요오 쓰으신끼 가부시끼가이샤 Piezo-electric resonator for generating overtones

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GB2325336A (en) 1998-11-18

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