Resonator element, resonator, electronic device, electronic apparatus, and moving object
09748920 · 2017-08-29
Assignee
Inventors
Cpc classification
International classification
Abstract
A resonator element includes a vibrating portion that vibrates in a thickness shear vibration and includes a first main surface and a second main surface which are in a front and back relationship to each other, a first excitation electrode that is provided on the first main surface, and a second excitation electrode that is provided on the second main surface, and an energy trapping coefficient M satisfies a relationship of 33.6≦M≦65.1.
Claims
1. A resonator element comprising: a vibrating portion that vibrates in a thickness shear vibration and includes a first main surface and a second main surface which are in a front and back relationship to each other; a first excitation electrode that is provided on the first main surface; and a second excitation electrode that is provided on the second main surface, wherein an energy trapping coefficient M, a frequency decrease amount Δ, a cut-off frequency fs, and a frequency fe satisfy relationships of
33.6≦M≦65.1,
M=K×(hx/2×ts)×√Δ,
Δ=(fs−fe)/fs,
fs=R/ts, and
fe=R/[ts+te×(ρe/ρx)], where M is an energy trapping coefficient, K is an anisotropy coefficient of the vibrating portion, hx is a length along the thickness shear vibration direction of the first excitation electrode and the second excitation electrode, is is a thickness of the vibrating portion, Δ is a frequency decrease amount, fs is a cut-off frequency of the vibrating portion, fe is a frequency when the first excitation electrode and the second excitation electrode are disposed in the vibrating portion, R is a frequency integer of the vibrating portion, te is a sum of the thicknesses of the first excitation electrode and the second excitation electrode, ρe is densities of the first excitation electrode and the second excitation electrode, and ρx is a density of the vibrating portion.
2. The resonator element according to claim 1, wherein the energy trapping coefficient M satisfies a relationship of 33.6 M 46.7.
3. The resonator element according to claim 1, wherein the vibrating portion is a quartz crystal substrate.
4. The resonator element according to claim 3, wherein the quartz crystal substrate is an AT cut quartz crystal substrate.
5. The resonator element according to claim 1, wherein when the length along the direction orthogonal to the thickness shear vibration direction of the first excitation electrode and the second excitation electrode is set to hz, a relationship of 1.25≦hx/hz≦1.31 is satisfied.
6. The resonator element according to claim 1, wherein the first excitation electrode and the second excitation electrode are respectively formed of a two-layer structure in which a first layer and a second layer are laminated in this order from the vibrating portion side, wherein the first layer includes nickel (Ni), and wherein the second layer includes gold (Au).
7. A resonator comprising: the resonator element according to claim 1; and a package that accommodates the resonator element.
8. An electronic device comprising: the resonator element according to claim 1; and a circuit.
9. An electronic apparatus comprising: the resonator element according to claim 1.
10. A moving object comprising: the resonator element according to claim 1.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The invention will be described with reference to the accompanying drawings, wherein like numbers reference like elements.
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DESCRIPTION OF EXEMPLARY EMBODIMENTS
(20) Hereinafter, a resonator element, a resonator, an electronic device, an electronic apparatus, and a moving object according to the invention will be described based on preferred embodiments illustrated in the drawings.
(21) Resonator Element
(22) First, a resonator element 1 according to an embodiment of the invention will be described.
(23)
(24) The resonator element 1 includes a substrate 10 having a vibrating portion 12 and a supporting portion 18 that is a thick portion 13 which is provided continuously to the vibrating portion 12 and is thicker than the thickness of the vibrating portion 12, first and second excitation electrodes 25a and 25b which are formed on both main surfaces (front and back surfaces in ±Y′ directions) of the vibrating portion 12 so as to be opposed to each other and overlapped in a plan view, pad electrodes 29a and 29b provided in the thick portion, and lead electrodes 27a and 27b which are formed so as to respectively extend from the first excitation electrode 25a and the second excitation electrode 25b toward the pad electrodes 29a and 29b.
(25) The substrate 10 forms a rectangular shape and includes a vibrating portion 12 which is thin and has a flat plate shape of a constant thickness orthogonal to a Y′ axis, a thick portion 13 formed of a first thick portion 14, a second thick portion 15 which is a supporting portion 18, and a third thick portion 16 (also referred to as first, second, and third thick portions 14, 15, and 16) which are respectively integrated into three sides of the vibrating portion 12 except for one side thereof, and a slit 17 for reducing the propagation of mounting stress caused at the time of supporting and fixing to the vibrating portion 12.
(26) In addition, a first thick main body 14a, a second thick main body 15a, and a third thick main body 16a (also referred to as first, second, and third thick main bodies 14a, 15a, and 16a) refer to regions that are parallel to the Y′ axis and have a constant thickness.
(27) Further, a first inclined portion 14b, a second inclined portion 15b, and a third inclined portion 16b (also referred to as first, second, and third inclined portions 14b, 15b, and 16b) refer to inclined surfaces that are formed between the first, second and third thick main bodies 14a, 15a, and 16a and the vibrating portion 12.
(28) One main surface of the vibrating portion 12 and one surface of each of the first, second and third thick portions 14, 15, and 16 are located on the same plane, that is, on an X-Z′ plane of coordinate axes illustrated in
(29) The first excitation electrode 25a and the second excitation electrode 25b have a rectangular shape (a long side is in the X-axis direction) in the resonator element 1 illustrated in
(30) The lead electrode 27a extends from the first excitation electrode 25a formed on the first main surface which is the concave surface and is conductively connected to the pad electrode 29a formed on the concave surface of the second thick main body 15a which is the supporting portion 18 through the third inclined portion 16b and the third thick main body 16a from the top of the vibrating portion 12.
(31) Further, the lead electrode 27b extends from the second excitation electrode 25b formed on the second main surface which is the flat surface and is conductively connected to the pad electrode 29b formed on the flat surface of the second thick main body 15a which is the supporting portion 18, through the edge portion of the flat surface of the substrate 10.
(32) In addition, for an explanation of the first excitation electrode 25a and the second excitation electrode 25b, the shapes and areas of the portions in contact with the lead electrodes 27a and 27b will be described, with an extending line (a virtual line) along the outer edge (outer side) of the excitation electrode as a boundary.
(33) The embodiment illustrated in
(34) Further, with respect to the first excitation electrode 25a, the second excitation electrode 25b, the lead electrodes 27a and 27b, and the pad electrodes 29a and 29b, a film of nickel (Ni) is formed as a first layer which is a base layer from the substrate 10 side, and a film of gold (Au) which is a second layer is laminated and formed thereon, using a deposition apparatus, a sputtering apparatus, or the like. In addition, as electrode material, nichrome (NiCr) including nickel (Ni), or chromium (Cr) may be used as the first layer instead of nickel (Ni), and 18 gold or 14 gold including gold (Au), as well as silver (Ag) or platinum (Pt) may be used instead of gold (Au).
(35) A quartz crystal which is a piezoelectric material belongs to a trigonal system, and has crystal axes X, Y, and Z which are orthogonal to each other as illustrated in
(36) In other words, as illustrated in
(37) Further, the substrate 10 according to the embodiment is not limited to the AT cut quartz crystal substrate having an angle θ of about 35° 15′, but may be a BT cut quartz crystal substrate or the like which is excited in the thickness shear vibration mode at an angle θ of about −49°. Furthermore, a description has been made by using the example in which the thick portion is provided along the outer edge of the vibrating portion 12, but is not limited thereto, and although described in the subsequent modification example of the substrate shape, the present embodiment can be widely applied to a substrate in which a thick portion is provided along the outer edge of the entire circumference of the vibrating portion 12, or a substrate of a flat plate shape in which the thick portion is not provided.
(38) Generally, in the thickness shear vibration mode, if a partial electrode is formed or a plate thickness difference is provided on the vibrating portion, it is possible to trap the vibration energy in the vicinity of that part, and obtain a stable resonant frequency. The resonant frequency of the trapping mode in this case is represent as a function of the energy trapping coefficient M obtained by the thickness ts of the vibrating portion, the film thickness to and the dimension hx of the excitation electrode.
(39) The energy trapping coefficient M is represent by the following equation (1).
M=K×(hx/2×ts)×√Δ (1)
(40) Here, K is an anisotropy coefficient of the vibrating portion (1.538 in a case of the AT cut quartz crystal substrate), hx is a dimension along the displacement direction of the thickness shear vibration of the excitation electrode, ts is a thickness of the vibrating portion, and Δ is a frequency decrease amount. In addition, when the shape of the excitation electrode is not a rectangle, but a shape such as a circle or an ellipse, the dimension of hx is set to be a maximum value among lengths along the displacement direction (X axis direction) of the thickness shear vibration mode.
(41) In addition, the frequency decrease amount Δ is represented by the following equation (2).
Δ=(fs−fe)/fs (2)
(42) Here, the fs is a cut-off frequency of the vibrating portion, fe is a frequency when the excitation electrode is formed on the entire surface of the vibrating portion.
(43) In addition, when the shapes and the areas of the excitation electrodes on the front and back sides are identical, the cut-off frequency fs of the vibrating portion is represented by the following equation (3), and the frequency fe when the excitation electrode is formed on the entire surface of the vibrating portion is represented by the following equation (4).
fs=R/ts (3)
fe=R/[ts+te×(ρe/ρx)] (4)
(44) Here, R is a frequency integer of the vibrating portion, ts a thickness of the vibrating portion, te is a sum of thicknesses of the excitation electrodes on the front and back sides, ρe is densities of the excitation electrodes, and ρx is a density of the vibrating portion.
(45) Generally, in the thickness shear vibration mode of the AT cut quartz crystal substrate, a condition for trapping a fundamental wave of a single mode is that the energy trapping coefficient M is 2.8 or less.
(46) For example, in the AT cut quartz crystal resonator element that resonates at a resonant frequency of a 491 MHz band, when the dimensions hx of the first excitation electrode 25a and the second excitation electrode 25b are set to 0.30 mm, the film thicknesses of the excitation electrodes having the energy trapping coefficient M of 2.8 are significantly thin, about 1 nm, such that they are not able to be manufactured. For example, even if it is achievable, the CI value becomes very large due to the influence of ohmic loss caused by reducing the thickness of the electrode, and thus the oscillation in the oscillation circuit is not possible.
(47) Then, if the electrode is formed in order to avoid the ohmic loss of the electrode film thickness at high frequencies (the film thickness is increased), the energy trapping coefficient M for trapping only the main vibration is significantly increased from 2.8, such that the spurious vibration of the inharmonic mode of a low order excluding the main vibration is unavoidably trapped. However, if the ratio between a minimum CI value of the trapped spurious vibration and the CI value of the main vibration is 1.8 or more, it can be said that oscillation is not theoretically possible at the spurious vibration of the inharmonic modes. Then, if the CI value of the main vibration is reduced to be 20Ω or less, and the CI value ratio between the main vibration and the spurious vibration is set to 2.0 or more in view of manufacturing variation, this satisfies the required specifications requested in the oscillation circuit, and thus it is possible to oscillate only the main vibration so as to make practical use possible.
(48)
(49)
(50) The AT cut quartz crystal substrate is used as the substrate 10, and in the first excitation electrode 25a and the second excitation electrode 25b on the front and back sides, the thickness of the nickel (Ni) film which is the base layer is constant at 7 nm and the film thickness of gold (Au) is set to be in a range of 30 nm to 100 nm. If the hx is set to 0.18 mm and the hz is set to 0.14 mm, hx/hz is about 1.29, in the first excitation electrode 25a and the second excitation electrode 25b. In addition, hz is the dimension (length) along the direction orthogonal to the thickness shear vibration direction of the first excitation electrode 25a and the second excitation electrode 25b.
(51) Further, in the lead electrodes 27a and 27b and the pad electrodes 29a and 29b on the front and back side, in order to decrease the influence of the ohmic loss, a nickel (Ni) film is laminated at a film thickness of 7 nm on the upper layer portion of the electrode layer formed with the same thickness as those of the first excitation electrode 25a and the second excitation electrode 25b, and a gold (Au) film is laminated at a film thickness of 200 nm on the nickel film.
(52) In addition, after the experimentally produced resonator element 1 is mounted on a package, that will be described later, and sealed, the characteristics as the resonator are measured.
(53) Here, the experimental production conditions represented in
(54) In addition, respective parameters are as follows. K=1.538 R=1.67 (MHz.Math.mm) ρx=2.649 (g/cm.sup.3) ρAu (density of gold)=19.3 (g/cm.sup.3) ρNi (density of nickel)=8.9 (g/cm.sup.3)
(55) The density ρe of the excitation electrode formed with a two-layer structure is calculated by the following expression (5).
ρe=(ρAu×tAu+ρNi×tNi)/(tAu+tNi) (5)
(56) Here, tAu is the thickness of gold (Au) which is the second layer, and tNi is the thickness of nickel (Ni) which is the first layer as a base layer.
(57) fs is a cut-off frequency of the vibrating portion 12, fe is a frequency when the first excitation electrode 25a and the second excitation electrode 25b are disposed on the vibrating portion 12.
(58)
(59) Accordingly, from
(60)
(61) From
(62) From the above results, when the shapes and the areas of the first excitation electrode 25a and the second excitation electrode 25b on the front and back sides are the same, it is determined that when the energy trapping coefficient M is in a range of 33.6≦M≦46.7, it is possible to simultaneously satisfy the specification of the CI value (CI≦20Ω) required by the oscillation circuit and the specification of the spurious vibration (CIs/CIm≧2.0).
Modification Example of Excitation Electrode Shape
(63)
(64) The embodiment illustrated in
(65) In addition, in a case of the thickness shear vibration mode using the AT cut quartz crystal substrate, it is said that the displacement distribution of the displacement direction determined by the anisotropy of the crystal and the displacement distribution in the direction perpendicular thereto are different and the electrode dimension ratio (hx/hz) of about 1.28 is most efficient, the capacitance ratio γ of the AT cut quartz crystal resonator (=C0/C1, here, C0 is a parallel capacitance, and C1 is an equivalent serial capacitance) can be at a minimum in an elliptical or a rectangular excitation electrode shape having that ratio. Further, it is expected that the manufacturing variation or the front and back alignment error of the dimensions (hx and hz) of the first excitation electrode 25a and the second excitation electrode 25b is a dimension ratio of about ±2% (about ±4 μm, when hx=0.18 mm), and thus it is preferable that the electrode dimension ratio (hx/hz) be in a range of 1.25 to 1.31 with 1.28 as a center.
Modification Example of Substrate Shape
(66)
(67) As the shape of the substrate 10, the substrate 10 is used in which one main surface has a concave portion 11 and the other main surface is a flat surface, but as illustrated in
(68) Further, as illustrated in
(69) Further, as illustrated in
(70) First, a pad electrode 29e provided on the substrate 10e and a pad electrode 90 provided on one main surface of the supporting substrate 110 are joined with a conductive joining member 80 such that electrical conduction in this configuration is achieved. Next, the pad electrode 29e of the substrate 10e and an element mounting pad of a package can be electrically conducted, by attaching the mounting electrode 92, which is provided on the other main surface of the supporting substrate 110 electrically connected to the pad electrode 90 of the supporting substrate 110 by the side electrodes (not shown) and the like, to the element mounting pad of the package through a conductive joining member or the like.
(71) Resonator
(72) Next, a resonator 2 to which the resonator element 1 described above is applied (resonator according to the invention) will be described.
(73)
(74) As illustrated in
(75) A recess (cavity) accommodating the resonator element 1 is formed of the third substrate 43 and the second substrate 42. A plurality of element mounting pads 47 which are electrically conducted to the mounting terminals 45 by the conductors 46 are provided in a predetermined position on the upper surface of the second substrate 42. The element mounting pad 47 is arranged so as to correspond to the pad electrode 29a formed on the second thick main body 15a when the resonator element 1 is placed.
(76) When fixing the resonator element 1, first, the resonator element 1 is inverted (upside down) and the pad electrode 29a is placed on the element mounting pad 47 to which a conductive adhesive 30 has been applied so as to apply a load. A polyimide-based adhesive with low outgassing is used as the conductive adhesive 30, in view of a change over time.
(77) Next, the resonator element 1 is put in a high-temperature furnace at a predetermined temperature for a predetermined period of time in order to cure the conductive adhesive 30 of the resonator element 1 mounted on the package body 40. After curing the conductive adhesive 30, the pad electrode 29b which is the upper surface of the inverted resonator element 1 and the electrode terminal 48 of the package body 40 are conductively connected by the bonding wire BW. As illustrated in
(78) After an annealing process for mitigating an implementation distortion is performed, the frequency adjustment is performed by adding the mass to the second excitation electrode 25b, or reducing the mass of the second excitation electrode 25b. Thereafter, the resonator 2 is completed by placing the cover member 49 on the seal ring 44 formed on the upper surface of the package body 40, and sealing the cover member 49 through seam welding at a reduced pressure atmosphere or an atmosphere of inert gas such as nitrogen gas. Otherwise, there is a method of placing and attaching the cover member 49 through melting to glass with a low-melting point which has been applied on the upper surface of the third substrate 43 of the package body 40. Also in this case, the resonator 2 is completed by making an inside of the cavity of the package be a reduced pressure atmosphere or filling the cavity with inert gas such as nitrogen gas.
(79) The resonator element 1 in which the pad electrodes 29a and 29b are separated by a distance in the Z′ axis direction may be configured. Even in this case, it is possible to configure the resonator similarly to the resonator 2 described in
(80) Although an example of using laminated plates in the package body 40 has been described in the embodiment of the above resonator 2, the resonator may be configured by using a single-layer ceramic plate as the package body 40 and a cap that has been subjected to a squeezing process as the cover.
(81) As illustrated in
(82) Electronic Device
(83) Next, an electronic device 3 employing the resonator element 1 according to the invention (an electronic device according to the invention) will be described.
(84)
(85) The package body 50, as illustrated in
(86) A recess (cavity) accommodating the resonator element 1, the IC component 51, the electronic component 52, and the like is formed by the first substrate 61, the second substrate 62, and the third substrate 63. A plurality of element mounting pads 47 which are electrically conducted to the mounting terminals 45 by the conductors 46 are provided in a predetermined position on the upper surface of the second substrate 62. The element mounting pad 47 is arranged so as to correspond to the pad electrode 29a formed on the second thick main body 15a when the resonator element 1 is placed.
(87) The conduction between the pad electrode 29a and the element mounting pad 47 is achieved by placing the pad electrode 29a of the inverted resonator element 1 on the element mounting pad 47 of the package body 50 which has been applied with a conductive adhesive (polyimide-based) 30. The conduction to one electrode terminal 55 of the IC component 51 through a conductor (not shown) formed between the substrates of the package body 50 is achieved by connecting the pad electrode 29b which is an upper surface of the inverted resonator element 1 and the electrode terminal 48 of the package body 50 through a bonding wire BW. The IC component 51 is fixed in a predetermined position of the package body 50, and the terminal of the IC component 51 and the electrode terminal 55 of the package body 50 are connected by the bonding wire BW. Further, the electronic component 52 is placed in a predetermined position of the package body 50, and is connected to the conductor 46 by using a metal bump. The electronic device 3 is completed by making the package body 50 be a reduced pressure atmosphere or filling the package body 50 with inert gas such as nitrogen, and sealing the package body 50 with the cover member 49.
(88) In a method of connecting the pad electrode 29b and the electrode terminal 48 of the package body 50 through the bonding wire BW, a portion supporting the resonator element 1 is located at one place (one point), and the mounting stress due to the conductive adhesive 30 can be reduced.
(89) There is an effect of achieving a voltage-controlled oscillator in which the capacitance ratio is reduced, the frequency variable width is wide, and which has a good S/N ratio, by using the resonator element 1 of a high frequency that is excited by a fundamental wave, by configuring the electronic device 3 as illustrated in
(90) Further, it is possible to configure an oscillator and a temperature compensated oscillator as the electronic device 3, and there is an effect of being capable of configuring an oscillator with excellent frequency reproducibility, an aging characteristic, and a frequency-temperature characteristic.
(91) Electronic Apparatus
(92) Subsequently, an electronic apparatus to which the resonator element 1 according to an embodiment of the invention is applied (an electronic apparatus according to the invention) will be described in detail based on
(93)
(94)
(95)
(96) The display 100 is provided on a rear surface of a case (body) 1302 of the digital camera 1300 and is configured to perform display based on the imaging signal by the CCD. The display 100 functions as a viewfinder that displays the object as an electronic image. Further, a light receiving unit 1304 including optical lenses (an imaging optical system) and a CCD is provided on the front surface side (the back surface side in
(97) If a photographer checks an object image displayed on the display 100 and presses a shutter button 1306, the imaging signal of the CCD at this time is transmitted to and stored in a memory 1308. Further, in the digital camera 1300, a video signal output terminal 1312 and an input-output terminal 1314 for data communication are provided on the side surface of the case 1302. Then, as illustrated, a television monitor 1430 is to be connected to the video signal output terminal 1312 and a personal computer 1440 is to be connected to the input-output terminal 1314 for data communication respectively, as necessary. Further, the imaging signal stored in the memory 1308 is output to the television monitor 1430 or the personal computer 1440 by a predetermined operation. The resonator element 1 functioning as a filter and a resonator is built into the digital camera 1300.
(98) In addition to the personal computer 1100 (mobile type personal computer) of
(99) Moving Object
(100) Next, a moving object to which the resonator element 1 according to an embodiment of the invention is applied (a moving object according to the invention) will be described.
(101)
(102) Hitherto, the resonator element 1, the resonator 2, the electronic device 3, the electronic apparatus and the moving object according to the invention have been described based on the illustrated embodiments, but the invention is not limited thereto, and the configuration of each unit may be replaced with any configuration having a similar function. Further, other arbitrary components may be added to the invention. Further, the respective embodiments described above may be appropriately combined.
(103) The entire disclosure of Japanese Patent Application No. 2013-225044, filed Oct. 30, 2013 is expressly incorporated by reference herein.