The entire disclose of Japanese Patent Application No. 2013-127980 filed Jun. 18, 2013 is expressly incorporated by reference herein.
1. Technical Field
The invention relates to a resonator element, a resonator, an oscillator, an electronic device, and a moving object.
2. Related Art
Hitherto, resonator elements using quartz crystal have been known. Such resonator elements have excellent frequency-temperature characteristics. Accordingly, the resonator elements are widely used as reference frequency sources, signal transmission sources, and the like of various electronic devices.
A resonator element disclosed in FIG. 1 of JP-A-2011-19159 includes a base portion and a pair of vibrating arms collaterally extending from the base portion. The resonator element is fixed to a package through conductive adhesive members by two fixation portions provided in the base portion. However, in such a configuration, there is a concern that the two fixation portions, which are disposed in the base portion in order to achieve electrical conduction and fixation, may become adjacent to and in contact with each other due to a reduction in the size of the base portion associated with a reduction in the size of the resonator element, which may result in the occurrence of a short circuit.
In addition, a resonator element disclosed in JP-A-2002-141770 includes a base portion, a pair of vibrating arms collaterally extending from the base portion, and a supporting arm extending between the pair of vibrating arms from the base portion. The resonator element is fixed to a package through conductive adhesive members by two fixation portions provided in the supporting arm. However, in such a configuration, there is a concern that the conductive adhesive members may become in contact with each other due to a short separation distance between the two fixation portions, which may result in the occurrence of a short circuit.
An advantage of some aspects of the invention is to provide a resonator element capable of reducing contact between fixation members in a state of being mounted onto an object, and a resonator, an oscillator, an electronic device, and a moving object which include the resonator element.
The invention can be implemented as the following application examples.
This application example is directed to a resonator element including a base portion; a pair of vibrating arms that extend in a first direction from one end of the base portion and are lined up in a second direction perpendicular to the first direction; and a supporting arm that extends from the base portion. A first fixation portion is provided in one principal surface of the base portion. A second fixation portion is provided in one principal surface of the supporting arm. The first fixation portion and the second fixation portion are attached to an object through fixation members.
Thus, the resonator element capable of reducing contact between the fixation members in a state of being mounted onto the object is obtained. Further, the resonator element capable of reducing vibration leakage is obtained.
This application example is directed to the resonator element according to the application example described above, wherein the supporting arm extends in the first direction from the one end of the base portion and is disposed between the pair of vibrating arms.
Thus, the resonator element capable of reducing contact between the fixation members in a state of being mounted onto an object is obtained. Further, the resonator element capable of reducing vibration leakage is obtained.
This application example is directed to the resonator element according to the application example described above, wherein the supporting arm extends from the other end on an opposite side to the one end of the base portion when seen in a plan view.
Thus, the resonator element capable of reducing contact between the fixation members in a state of being mounted onto an object is obtained. Further, the resonator element capable of reducing vibration leakage is obtained.
This application example is directed to the resonator element according to the application example described above, wherein the supporting arm includes a first portion that extends along the first direction from the other end, and a second portion that extends along the second direction from the first portion, and the second fixation portion is provided in the second portion.
Thus, since it is possible to increase a separation distance between the fixation members in a state of being mounted onto an object, the resonator element capable of reducing contact between the fixation members is obtained. Further, the resonator element capable of reducing vibration leakage is obtained.
This application example is directed to the resonator element according to the application example described above, wherein the first fixation portion intersects a virtual straight line along the first direction which passes through a center in the second direction between the pair of vibrating arms, when seen in a plan view.
Such a position is a place having a small vibration in the base portion. For this reason, the first fixation portion is provided at this position, and thus the resonator element with further reduced vibration leakage is obtained.
This application example is directed to the resonator element according to the application example described above, wherein the base portion includes a width-decreasing portion having a length along the second direction which decreases in a continuous manner or in a stepwise manner as a distance from the first fixation portion increases along the first direction, when seen in a plan view.
Thus, vibration leakage is reduced.
This application example is directed to a resonator element including a base portion; a pair of vibrating arms that extend in a first direction from one end of the base portion and are lined up in a second direction perpendicular to the first direction; a first supporting arm that extends in the first direction from the one end of the base portion and is disposed between the pair of vibrating arms; and a second supporting arm that extends from the other end on an opposite side to the one end of the base portion, when seen in a plan view. A first fixation portion is provided in one principal surface of the first supporting arm. A second fixation portion is provided in one principal surface of the second supporting arm. The first fixation portion and the second fixation portion are attached to an object through fixation members.
Thus, the resonator element capable of reducing contact between the fixation members in a state of being mounted onto the object is obtained. Further, the resonator element capable of reducing vibration leakage is obtained.
This application example is directed to the resonator element according to the application example described above, wherein the base portion includes a width-decreasing portion having a length along the second direction which decreases in a continuous manner or in a stepwise manner as a distance from the first fixation portion increases along the first direction, when seen in a plan view.
Thus, vibration leakage is reduced.
This application example is directed to a resonator including the resonator element according to the application example and a package that accommodates the resonator element.
Thus, a resonator with high reliability is obtained.
This application example is directed to an oscillator including the resonator element according to the application example and an oscillation circuit.
Thus, an oscillator with high reliability is obtained.
This application example is directed to an electronic device including the resonator element according to the application example.
Thus, an electronic device with high reliability is obtained.
This application example is directed to a moving object including the resonator element according to the application example.
Thus, a moving object with high reliability is obtained.
The invention will be described with reference to the accompanying drawings, wherein like numbers reference like elements.
Hereinafter, a resonator element, a resonator, an oscillator, an electronic device, and a moving object according to the invention will be described in detail with reference to preferred embodiments shown in the diagrams.
First, the resonator according to the invention will be described.
As shown in
As shown in
A material of the base 91 is not particularly limited, and various ceramics such as aluminum oxide can be used. In addition, although a material of the lid 92 is not particularly limited, it is preferable to use a member having a linear expansion coefficient similar to that of the material of the base 91. For example, when the above-described ceramic is used as a material of the base 91, it is preferable to use an alloy such as Kovar. Meanwhile, the bonding of the base 91 and the lid 92 is not particularly limited. For example, the base and the lid may be bonded to each other through a metalization layer.
In addition, connecting terminals 951 and 961 are formed on the bottom surface of the concave portion 911 of the base 91. A first conductive adhesive member (fixation member) 11 is provided on the connecting terminal 951, and a second conductive adhesive member (fixation member) 12 is provided on the connecting terminal 961. The resonator element 2 is fixed to the base 91 through the first and second conductive adhesive members 11 and 12. Meanwhile, materials of the first and second conductive adhesive members 11 and 12 are not particularly limited as long as the materials have conductive, adhesive, and bonding properties. For example, a conductive adhesive member including a silicone-based, epoxy-based, acrylic-based, polyimide-based, bismaleimide-based, polyester-based, or polyurethane-based resin mixed with a conductive filler such as silver particles, or a metal material such as Au can be used.
In addition, the connecting terminal 951 is electrically connected to an external terminal 953, provided on the bottom surface of the base 91, through a through electrode (not shown) passing through the base 91. Similarly, the connecting terminal 961 is electrically connected to an external terminal 963, provided on the bottom surface of the base 91, through a through electrode (not shown) passing through the base 91. Materials of the connecting terminals 951 and 961, the external terminals 953 and 963, and the through electrode are not particularly limited as long as the materials have conductivity. For example, the terminals and the electrode can be formed of a metal coating in which a coat such as gold (Au), silver (Ag), or copper (Cu) is laminated on a base layer such as chromium (Cr), nickel (Ni), or tungsten (W).
As shown in
The quartz crystal substrate 3 is constituted by a Z-cut quartz crystal plate. The Z-cut quartz crystal plate refers to a quartz crystal substrate using a Z-axis as its thickness direction. Meanwhile, it is preferable that the Z-axis conforms with the thickness direction of the quartz crystal substrate 3. However, from the viewpoint of reducing a change in frequency with temperature near room temperature, the Z-axis may be inclined slightly (for example, approximately less than 15 degrees) with respect to the thickness direction.
That is, it is assumed that the X-axis of a rectangular coordinate system constituted by the X-axis as the electrical axis of quartz crystal, the Y-axis as the mechanical axis thereof, and the Z-axis as the optical axis thereof is a rotation axis. When an axis obtained by inclining the Z-axis so that a +Z side rotates in the −Y direction of the Y-axis is set to a Z′-axis and an axis obtained by inclining the Y-axis so that a +Y side rotates in the +Z direction of the Z-axis is set to a Y′-axis, the quartz crystal substrate 3 is obtained in which a direction along the Z′-axis is set to the thickness thereof and a surface including the X-axis and the Y′-axis is set to the principal surface thereof.
Meanwhile, the thickness D of the quartz crystal substrate 3 is not particularly limited, but is preferably less than 70 μm. Based on such a numerical range, when the quartz crystal substrate 3 is formed (patterned) by, for example, wet etching, it is possible to effectively prevent unnecessary portions (portions necessary to be removed) from remaining in a boundary between a vibrating arm 5 and a base portion 4, a boundary between an arm portion 51 to be described later and a hammerhead 59 as a weight portion, and the like. For this reason, it is possible to obtain the resonator element 2 capable of effectively reducing vibration leakage. From a different point of view, the thickness D is preferably equal to or greater than 70 μm and equal to or less than 300 μm, and more preferably equal to or greater than 100 μm and equal to or less than 150 μm. Based on such a numerical range, it is possible to form first and second driving electrodes 84 and 85 to be described later to be wide in the side surfaces of the vibrating arm 5 and a vibrating arm 6, and thus it is possible to lower a CI value.
As shown in
The base portion 4 has a substantially plate shape that extends on the XY plane and has a thickness in the Z-axis direction. The base portion 4 includes a portion (main body 41), which supports and connects the vibrating arms 5 and 6, and width-decreasing portions 42 and 43 to reduce vibration leakage.
The width-decreasing portion 42 is provided on the base end side (side opposite to a side on which the vibrating arms 5 and 6 extend) of the main body 41. In addition, the width (length along the X-axis direction) of the width-decreasing portion 42 gradually decreases as a distance from each of the vibrating arms 5 and 6 increases. Due to the width-decreasing portion 42, it is possible to effectively reduce the vibration leakage of the resonator element 2.
This will be specifically described as follows. Meanwhile, in order to simplify the description, it is assumed that the shape of the resonator element 2 is symmetrical about a predetermined axis parallel to the Y-axis.
First, as shown in
In contrast, as shown in
On the other hand, the width-decreasing portion 43 is provided on the distal end side (side on which the vibrating arms 5 and 6 extend) of the main body 41. In addition, the width (length along the X-axis direction) of the width-decreasing portion 43 gradually decreases in the +Y-axis direction. Due to the width-decreasing portion 43, it is possible to effectively suppress the vibration leakage of the resonator element 2. The width-decreasing portion 43 is positioned between the main body 41 and the supporting arm 7. Accordingly, vibrations of the vibrating arms 5 and 6 are not likely to be transmitted to the supporting arm 7 through the base portion 4, and thus it is possible to effectively suppress vibration leakage. Specifically, as described above, the vibrations of the vibrating arms 5 and 6 are offset (reduced and absorbed) mainly by the width-decreasing portion 42, but the vibration that cannot be wholly offset by the width-decreasing portion 43 may move toward the supporting arm (see
Meanwhile, in this embodiment, the contours of the width-decreasing portions 42 and 43 have an arch shape, but are not limited thereto as long as the width-decreasing portions exhibit the above-described effects. For example, the width-decreasing portions may be width-decreasing portions having a contour that is formed stepwise by a plurality of straight lines. In other words, the width-decreasing portions may have a structure in which the width of the width-decreasing portion along the X-axis direction (second direction) stepwise decreases.
The vibrating arms 5 and 6 extend in the +Y-axis direction (first direction) from the distal end of the base portion 4 so as to be lined up in the X-axis direction (second direction) and parallel to each other. Each of the vibrating arms 5 and 6 has an elongated shape. The base end of each of the vibrating arms is a fixed end, and the distal end is a free end.
In addition, the vibrating arms 5 and 6 include arm portions 51 and 61 and hammerheads 59 and 69 as weight portions provided at the distal ends of the arm portions 51 and 61. Meanwhile, since the vibrating arms 5 and 6 have the same configuration, the vibrating arm 5 will be described as a representative vibrating arm hereinafter, and description of the vibrating arm 6 will be omitted.
As shown in
Although the depth of each of the grooves 52 and 53 is not particularly limited, it is preferable that the relation of 60%≦(D1+D2)/D≦95% is satisfied assuming that the depth of the groove 52 is D1 and the depth of the groove 53 is D2 (in this embodiment, D1=D2). Since a heat transfer path becomes longer by satisfying such a relationship, it is possible to more effectively reduce thermoelastic loss in an adiabatic region (to be described later in detail).
Meanwhile, it is preferable to form the grooves 52 and 53 by adjusting the positions of the grooves 52 and 53 in the X-axis direction with respect to the position of the vibrating arm 5 so that the cross-sectional centroid of the vibrating arm 5 matches the center of the cross-sectional shape of the vibrating arm 5. In this manner, since it is possible to reduce an unnecessary vibration (specifically, an oblique vibration having an out-of-plane component) of the vibrating arm 5, it is possible to reduce vibration leakage. In this case, since it is also possible to reduce driving for an unnecessary vibration, a driving region is relatively increased. Therefore, it is possible to reduce the CI value.
In addition, assuming that the widths (lengths in the X-axis direction) of bank portions (principal surfaces lined up with the groove 52 interposed therebetween along the width direction perpendicular to the longitudinal direction of the vibrating arm) 511a, which are positioned on both sides of the groove 52 of the principal surface 511 in the X-axis direction, and bank portions 512a, which are positioned on both sides of the groove 53 of the principal surface 512 in the X-axis direction, are W3, it is preferable to satisfy the relation of 0 μm<W3≦20 μm. In this manner, the CI value of the resonator element 2 becomes sufficiently low. In the numerical range described above, it is preferable to satisfy the relation of 5 μm<W3≦9 μm. In this manner, in addition to the effects described above, it is possible to reduce thermoelastic loss. In addition, it is also preferable to satisfy the relation of 0 μm<W3≦5 μm. In this manner, it is possible to further lower the CI value of the resonator element 2.
The hammerhead 59 has a substantially rectangular shape in which the X-axis direction is a longitudinal direction when seen in a plan view. The hammerhead 59 has a width (length in the X-axis direction) which is greater than that of the arm portion 51, and protrudes to both sides in the X-axis direction from the arm portion 51. By forming the hammerhead 59 in such a configuration, it is possible to increase the mass of the hammerhead 59 while suppressing the total length L of the vibrating arm 5. In other words, when the total length L of the vibrating arm 5 is fixed, it is possible to secure the arm portion 51 being as long as possible without reducing the mass effect of the hammerhead 59. For this reason, it is possible to increase the width of the vibrating arm 5 in order to obtain a desired resonance frequency (for example, 32.768 kHz). As a result, since a heat transfer path to be described later becomes longer, thermoelastic loss is reduced and the Q value is improved.
In addition, the center of the hammerhead 59 in the X-axis direction may be slightly shifted from the center of the vibrating arm 5 in the X-axis direction. In this manner, since a vibration of the base portion 4 in the Z-axis direction which may occur due to the torsion of the vibrating arm 5 during bending and vibration can be reduced, it is possible to suppress vibration leakage.
In addition, when the total length (length in the Y-axis direction) of the vibrating arm 5 is set to L and the length (length in the Y-axis direction) of the hammerhead 59 is set to H, it is preferable that the vibrating arm 5 satisfies the relation of 1.2%<H/L<30.0% and satisfies the relation of 4.6%<H/L<22.3%. When such a numerical range is satisfied, the CI value of the resonator element 2 is low. Therefore, the vibration loss is small, and the resonator element 2 having an excellent vibration characteristics is obtained. Here, in this embodiment, the base end of the vibrating arm 5 is set in a position of the line segment, which connects a place where the side surface 514 is connected to the base portion 4 and a place where the side surface 513 is connected to the base portion 4, in the center of the width (length in the X-axis direction) of the vibrating arm 5. In addition, the base end of the hammerhead 59 is set in a position where the width thereof is 1.5 times the width of the arm portion 51, in a tapered portion provided in the distal end of the arm portion 51.
In addition, when the width (length in the X-axis direction) of the arm portion 51 is set to W1 and the width (length in the X-axis direction) of the hammerhead 59 is set to W2, it is preferable that the relation of 1.5≦W2/W1≦10.0 is satisfied, and it is more preferable that the relation of 1.6≦W2/W1≦7.0 is satisfied. By satisfying such a numerical range, it is possible to secure a large width for the hammerhead 59. For this reason, even if the length H of the hammerhead 59 is relatively small as described above, it is possible to sufficiently exhibit the mass effect of the hammerhead 59.
Meanwhile, by setting L≦2 mm, preferably, L≦1 mm, it is possible to obtain a small resonator element used in an oscillator that is mounted in a portable music device, an IC card, and the like. In addition, by setting W1≦100 μm, preferably, W1≦50 μm, it is also possible to obtain a resonator element, which resonates at a low frequency and which is used in an oscillation circuit for realizing low power consumption, in the range of L described above. In addition, in the case of an adiabatic region, when the vibrating arms 5 and 6 extend in the Y-axis direction in the quartz crystal Z plate and bend and vibrate in the X direction as in this embodiment, it is preferable that W1≧12.8 μm is satisfied. When the vibrating arms 5 and 6 extend in the X direction in the quartz crystal Z plate and bend and vibrate in the Y direction, it is preferable that W1≧14.4 μm is satisfied. When the vibrating arms 5 and 6 extend in the Y direction in the quartz crystal X plate and bend and vibrate in the Z direction, it is preferable that W1≧15.9 μm is satisfied. In this manner, since an adiabatic region can be reliably obtained, thermoelastic loss is reduced by the formation of the grooves 52, 53, 62, and 63, and the Q value is improved. In addition, due to driving in a region where the grooves 52, 53, 62, and 63 are formed, the electric field efficiency is high, and the driving area is secured. Accordingly, the CI value is reduced.
Meanwhile, the hammerheads 59 and 69 as weight portions are configured as wide width portions having a length along the X-axis direction which is larger than those of the arm portions 51 and 61. However, the invention is not limited thereto, and the hammerheads may have a mass density per unit length which is greater than those of the arm portions 51 and 61. For example, the weight portions may be configured to have a length that is the same as the lengths of the arm portions 51 and 61 along the X-axis direction and to have a thickness along the Z-axis direction which is larger than that of the arm portions. In addition, the weight portions may be configured such that a metal such as Au is provided thickly on each of the surfaces of the arm portions 51 and 61 which correspond to the weight portions. Further, the weight portions may be formed of a material having a higher mass density than those of the arm portions 51 and 61.
The supporting arm 7 is positioned between the vibrating arms 5 and 6, and extends in the +Y-axis direction from the distal end of the base portion 4. In addition, the distal end of the supporting arm 7 is positioned on the base portion 4 side with respect to the base ends of the hammerheads 59 and 69. Thus, since it is possible to make the vibrating arms 5 and 6 approach each other, it is possible to reduce the size of the resonator element 2.
Until now, the contour of the quartz crystal substrate 3 has been described. As shown in
The first fixation portion R1 is provided in one principal surface (surface on the −Z-axis side) of the base portion 4 and at the X-axis direction central portion of the main body 41. In other words, the first fixation portion R1 (in particular, the center of the first fixation portion R1) is positioned on a straight line L1 which intersects a center O (in other words, a center point between the vibrating arms 5 and 6) of the base portion 4 in the width direction and which is parallel to the Y-axis, when seen in a plan view. This place is a place having a small vibration due to the mutual offset between the vibrations of the vibrating arms 5 and 6, as described above. For this reason, it is possible to effectively reduce vibration leakage through the conductive adhesive member 11 by providing the first fixation portion R1 in this place. It is particularly preferable that the first fixation portion R1 is positioned at the main body 41 in the base portion 4.
The second fixation portion R2 is provided in one principal surface (surface on the −Z-axis side) of the supporting arm 7. As described above, the vibrations of the vibrating arms 5 and 6 are not likely to be transmitted to the supporting arm 7 due to the width-decreasing portions 42 and 43 of the base portion 4. For this reason, it is possible to effectively reduce vibration leakage through the conductive adhesive member 12 by providing the second fixation portion R2 in the supporting arm 7. In particular, it is preferable that the second fixation portion R2 is provided and lined up with the first fixation portion R1 in the Y-axis direction. That is, it is preferable that the second fixation portion R2 (in particular, the center of the second fixation portion R2) is provided on the straight line L1. In this manner, the first and second fixation portions R1 and R2 are provided and lined up along the straight line L1, and thus it is possible to fix the resonator element 2 to the base 91 in a balanced manner. Further, it is preferable that a distance, when seen in a plan view, between a line segment, which connects the center of the first fixation portion R1 and the center of the second fixation portion R2, and the centroid of the resonator element 2 is equal to or less than half a distance between a center line, which passes through the center of the width (length in the X-axis direction) of the vibrating arm 5 and is parallel to the Y-axis, and a center line which passes through the center of the width of the vibrating arm 6 and is parallel to the Y-axis. In this manner, it is possible to fix the resonator element 2 to the base 91 in a more balanced manner.
In this embodiment, the first fixation portion R1 is provided on the straight line L1 on the base portion 4, and the second fixation portion R2 is provided in the supporting arm 7, and thus both the first and second fixation portions R1 and R2 are provided in regions having a small vibration. As a result, the resonator 1 with little vibration leakage is obtained. In addition, since the first fixation portion R1 and the second fixation portion R2 can be disposed so as to be sufficiently spaced apart from each other, it is possible to prevent contact (short circuit) between the conductive adhesive members 11 and 12. Meanwhile, the separation distance between the first and second fixation portions R1 and R2 is not particularly limited. For example, the separation distance is preferably equal to or greater than 50 μm and is more preferably equal to or greater than 100 μm. Thus, it is possible to further effectively prevent contact between the conductive adhesive members 11 and 12.
In addition, it is preferable that the Young's modulus of the first fixation portion R1 is smaller than the Young's modulus of the second fixation portion R2. In this manner, it is possible to keep a resonance frequency in an X common mode (unnecessary vibration mode) away from a resonance frequency in an x reverse phase mode (main mode).
The electrode 8 includes a first driving electrode 84, a second driving electrode 85, a first connection electrode 81 connected to the first driving electrode 84, and a second connection electrode 82 connected to the second driving electrode 85.
As shown in
In addition, as shown in
Materials of the first and second driving electrodes 84 and 85 and the first and second connection electrodes 81 and 82 are not particularly limited. The electrodes can be formed of a metal material such as gold (Au), a gold alloy, platinum (Pt), aluminum (Al), an aluminum alloy, silver (Ag), a silver alloy, chromium (Cr), a chromium alloy, nickel (Ni), a nickel alloy, copper (Cu), molybdenum (Mo), niobium (Nb), tungsten (W), iron (Fe), titanium (Ti), cobalt (Co), zinc (Zn), or zirconium (Zr), or a conductive material such as indium tin oxide (ITO).
As specific configurations of the first and second driving electrodes 84 and 85 and the first and second connection electrodes 81 and 82, a configuration can be adopted in which an Au layer of equal to or less than 700 Å is formed on a Cr layer of equal to or less than 700 Å, for example. In particular, since Cr and Au have a great thermoelastic loss, the Cr layer and the Au layer are preferably set to equal to or less than 200 Å. When insulation breakdown resistance is increased, the Cr layer and the Au layer are preferably set to equal to or greater than 1000 Å. Further, since Ni has a thermal expansion coefficient close to that of quartz crystal, thermal stress caused by electrodes is reduced by using a Ni layer as a foundation layer in place of the Cr layer, and thus it is possible to obtain a resonator element with a good long-term reliability (aging characteristics).
Until now, the resonator element 2 has been described. As described above, in the resonator element 2, the grooves 52 and 53 and the grooves 62 and 63 are formed in the vibrating arm 5 and the vibrating arm 6 to reduce thermoelastic loss. Hereinafter, this will be described concretely below by using the vibrating arm 5 as an example.
As described above, the vibrating arm 5 bends and vibrates substantially in the in-plane direction by applying an alternating voltage between the first and second driving electrodes 84 and 85. As shown in
In a resonator element that vibrates in a bending vibration mode and has the same configuration as the resonator element 2, when a bending vibration frequency (mechanical bending vibration frequency) f of the vibrating arm 5 changes, the Q value is minimized when the bending vibration frequency of the vibrating arm 5 conforms with a thermal relaxation frequency fm. The thermal relaxation frequency fm can be calculated by an expression of fm=1/(2πτ) (where, in the expression, π denotes the circular constant, and τ denotes a relaxation time required for a difference in temperature to become e−1 times by heat conduction, assuming that e is Napier's constant).
In addition, if a thermal relaxation frequency of a flat plate structure (structure having a rectangular cross-sectional shape) is fm0, fm0 can be calculated by the following expression.
fm0=πk/(2ΣCpa2) (1)
Meanwhile, π is the circular constant, k is the thermal conductivity of the vibrating arm 5 in the vibration direction (X-axis direction), ρ is the mass density of the vibrating arm 5, Cp is the heat capacity of the vibrating arm 5, and a is the width of the vibrating arm 5 in the vibration direction. When the constants of the material itself (that is, quartz crystal) of the vibrating arm 5 are input as the thermal conductivity k, the mass density ρ, and the heat capacity Cp in Expression (1), the calculated thermal relaxation frequency fm0 is a value when the grooves 52 and 53 are not provided in the vibrating arm 5.
In the vibrating arm 5, the grooves 52 and 53 are formed so as to be positioned between the side surfaces 513 and 514. For this reason, since a heat transfer path for balancing a difference in temperature between the side surfaces 513 and 514, which is caused when the vibrating arm 5 bends and vibrates, is formed by heat conduction so as to bypass the grooves 52 and 53, the heat transfer path thus becomes longer than a straight-line distance (shortest distance) between the side surfaces 513 and 514. Therefore, the relaxation time τ becomes longer and the thermal relaxation frequency fm becomes lower, as compared with a case where the grooves 52 and 53 are not provided in the vibrating arm 5.
f>√{square root over (fm0fm1)} (2)
Further, it is possible to obtain a higher Q value when being limited to the relation of f/fm0>1.
Meanwhile, in
Here, since the materials (metal materials) of the first and second driving electrodes 84 and 85 have higher thermal conductivity than quartz crystal which is the material of the vibrating arms 5 and 6, heat conduction through the first driving electrode 84 is actively performed in the vibrating arm 5 and heat conduction through the second driving electrode 85 is actively performed in the vibrating arm 6. When such heat conduction through the first and second driving electrodes 84 and 85 is actively performed, the relaxation time t is shortened. Consequently, as shown in
Next, a resonator according to a second embodiment of the invention will be described.
Hereinafter, the resonator according to the second embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the second embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
Also in the second embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to a third embodiment of the invention will be described.
Hereinafter, the resonator according to the third embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the third embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
In addition, it is preferable that the Young's modulus of a first fixation portion R1 is smaller than the Young's modulus of the second fixation portion R2. In this manner, it is possible to keep a resonance frequency in an X common mode (unnecessary vibration mode) away from a resonance frequency in an X reverse phase mode (main mode).
Also in the third embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to a fourth embodiment of the invention will be described.
Hereinafter, the resonator according to the fourth embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the fourth embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
Here, it is preferable that the Young's modulus of a first fixation portion R1 is smaller than the Young's modulus of the second fixation portion R2. In this manner, it is possible to keep a resonance frequency in an X common mode (unnecessary vibration mode) away from a resonance frequency in an X reverse phase mode (main mode).
Also in the fourth embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to a fifth embodiment of the invention will be described.
Hereinafter, the resonator according to the fifth embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the fifth embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
In addition, it is preferable that the Young's modulus of a first fixation portion R1 is smaller than the Young's modulus of the second fixation portion R2. In this manner, it is possible to keep a resonance frequency in an X common mode (unnecessary vibration mode) away from a resonance frequency in an X reverse phase mode (main mode).
Also in the fifth embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to a sixth embodiment of the invention will be described.
Hereinafter, the resonator according to the sixth embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the sixth embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
In addition, it is preferable that the Young's modulus of the first fixation portion R1 is smaller than the Young's modulus of the second fixation portion R2. In this manner, it is possible to keep a resonance frequency in an X common mode (unnecessary vibration mode) away from a resonance frequency in an X reverse phase mode (main mode).
Also in the sixth embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to a seventh embodiment of the invention will be described.
Hereinafter, the resonator according to the seventh embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the seventh embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
In addition, a first fixation portion R1 is provided in one principal surface (principal surface on the −Z-axis side) of the supporting arm 7, and a second fixation portion R2 is provided in one principal surface (principal surface on the −Z-axis side) of the supporting arm 70. According to such a configuration, it is possible to increase a separation distance between the first and second fixation portions R1 and R2, as compared with, for example, the first embodiment described above, and to reliably prevent contact between conductive adhesive members 11 and 12.
Also in the seventh embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to an eighth embodiment of the invention will be described.
Hereinafter, the resonator according to the eighth embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the eighth embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
Also in the eighth embodiment, the same effects as in the first embodiment described above can be exhibited.
Next, a resonator according to a ninth embodiment of the invention will be described.
Hereinafter, the resonator according to the ninth embodiment will be described focusing on the differences from the first embodiment described above, and a description of the same matters will be omitted.
The resonator according to the ninth embodiment of the invention is the same as that of the first embodiment described above except that the configuration of a resonator element is different. Meanwhile, the same components as in the first embodiment described above are denoted by the same reference numerals.
As shown in
Also in the ninth embodiment, the same effects as in the first embodiment described above can be exhibited.
Meanwhile, in the above-described embodiments and modified examples, quartz crystal is used as the material of the resonator element. However, the invention is not limited thereto, and it is possible to use, for example, an oxide substrate such as aluminum nitride (AlN), lithium niobate (LiNbO3), lithium tantalite (LiTaO3), lead zirconate titanate (PZT), lithium tetraborate (Li2B4O7), or langasite (La3Ga5SiO14) a laminated piezoelectric substrate configured by laminating a piezoelectric material such as aluminum nitride, tantalum pentoxide (Ta2O5) and the like on a glass substrate, piezoelectric ceramics, and the like.
In addition, it is possible to form a resonator element using a material other than a piezoelectric material. For example, it is also possible to form a resonator element using a silicon semiconductor material. In addition, a vibration (driving) method of the resonator element is not limited to a piezoelectric driving method. It is also possible to exhibit the configuration of the invention and the effects thereof also in resonator elements such as an electrostatic driving type using an electrostatic force and a Lorentz driving type using a magnetic force, in addition to a piezoelectric driving type using a piezoelectric substrate. In addition, the terms used in the specification or the drawings at least once together with a different term having a broader or similar meaning can be replaced with a different term in any portion of the specification or the drawings.
Next, an oscillator to which the resonator element according to the invention (oscillator according to the invention) is applied will be described.
An oscillator 100 shown in
As shown in
Next, an electronic device to which the resonator element according to the invention is applied (electronic device according to the invention) will be described.
A display portion is provided on the back of a case (body) 1302 in the digital still camera 1300, so that display based on the imaging signal of the CCD is performed. The display portion functions as a viewfinder that displays a subject as an electronic image. In addition, a light receiving unit 1304 including an optical lens (imaging optical system), a CCD, and the like is provided on the front side (back side in
When a photographer checks a subject image displayed on the display portion and presses a shutter button 1306, an imaging signal of the CCD at that point in time is transferred and stored in a memory 1308. In addition, in the digital still camera 1300, a video signal output terminal 1312 and an input/output terminal for data communication 1314 are provided on the side surface of the case 1302. As shown in
Meanwhile, the electronic device including the resonator element according to the invention can be applied not only to the personal computer (mobile personal computer) shown in
Next, a moving object to which the resonator element according to the invention (moving object according to the invention) is applied will be described.
While the resonator element, the resonator, the oscillator, the electronic device, and the moving object according to the invention have been described with reference to the illustrated embodiments, the invention is not limited thereto, and the configuration of each portion may be replaced with an arbitrary configuration having the same function. In addition, other arbitrary structures may be added to the invention. In addition, the embodiments described above may be appropriately combined.
Meanwhile, in the above-described embodiments and modified examples, quartz crystal is used as the material of the resonator element. However, the invention is not limited thereto, and it is possible to use, for example, an oxide substrate such as aluminum nitride (AlN), lithium niobate (LiNbO3), lithium tantalate (LiTaO3), lead zirconate titanate (PZT), lithium tetraborate (Li2B4O7), or langasite (La3Ga5SiO14), a laminated piezoelectric substrate configured by laminating a piezoelectric material such as aluminum nitride, tantalum pentoxide (Ta2O5), and the like on a glass substrate, piezoelectric ceramics, and the like.
In addition, it is possible to form a resonator element using a material other than a piezoelectric material. For example, it is also possible to form a resonator element using a silicon semiconductor material. In addition, a vibration (driving) method of the resonator element is not limited to a piezoelectric driving method. It is also possible to exhibit the configuration of the invention and the effects thereof also in resonator elements such as an electrostatic driving type using an electrostatic force and a Lorentz driving type using a magnetic force, in addition to a piezoelectric driving type using a piezoelectric substrate. In addition, the terms used in the specification or the drawings at least once together with a different term having a broader or similar meaning can be replaced with a different term in any portion of the specification or the drawings.
Number | Date | Country | Kind |
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2013-127980 | Jun 2013 | JP | national |