Patent Publication Number: US-9893268-B2

Title: Piezoelectric element, piezoelectric actuator, and electronic apparatus using the same

Description:
BACKGROUND OF THE INVENTION 
     Field of the Invention 
     The present invention relates to a thin film piezoelectric element substantially containing no lead therein. The present invention also relates to a piezoelectric actuator, a liquid ejection head, a liquid ejection apparatus, a shake correction mechanism, a variable shape optical element, a movable optical member, an optical device, an image pickup apparatus, an optical switch, a micromirror device, an ultrasonic wave probe, an ultrasonograph, a sound component, an angular velocity sensor, a vibration power generator, a surface acoustic wave generator, a piezoelectric shutter, and an electronic apparatus using the piezoelectric element. 
     Description of the Related Art 
     A thin film piezoelectric element typically includes a lower electrode, an upper electrode, and a piezoelectric film sandwiched therebetween. The piezoelectric film is formed of a polycrystal of a ferroelectric metal oxide. A typical principal component of the piezoelectric film is an ABO 3  type perovskite metal oxide, e.g., lead zirconate titanate (hereinafter referred to as “PZT”). However, PZT contains lead as an A-site element, and thus, influence thereof on the environment is perceived as a problem. Therefore, a piezoelectric film containing no lead therein (lead-free piezoelectric film) is required. 
     As a lead-free piezoelectric film, a barium zirconate titanate film is known. In Japanese Patent Application Laid-Open No. 2011-243722, it is disclosed that, through adding of a manganese oxide of 2 mol % or more and 4 mol % or less to a sum of titanium and zirconium of barium zirconate titanate, a crack in the piezoelectric film is suppressed. However, the disclosed composition has a large dielectric loss, and thus, has a problem in power consumption and heat generation when a piezoelectric element is driven. There is also a problem in that a piezoelectric constant of the lead-free piezoelectric film is insufficient for practical use. 
     Further, in Japanese Patent Application Laid-Open No. 2011-243722, for the purpose of improving piezoelectric properties in the vicinity of room temperature, T ot  (phase transition temperature at which a crystal system changes from an orthorhombic crystal to a tetragonal crystal) is moved to the vicinity of room temperature and a maximum of a permittivity is used, and thus, permittivity fluctuations in a temperature range in which the piezoelectric element is used (from −25° C. to 50° C.) become great. In other words, the material has a problem in that the piezoelectric properties thereof in the temperature range in which the piezoelectric element is used greatly fluctuate. 
     SUMMARY OF THE INVENTION 
     The present invention has been made to solve the problems described above, and provides a piezoelectric element containing no lead therein, which has a high Curie temperature at a piezoelectric film portion and has satisfactory and stable piezoelectric properties in a temperature range in which the piezoelectric element is used of, for example, from −25° C. to 50° C. The present invention also provides a piezoelectric actuator, a liquid ejection head, a liquid ejection apparatus, a shake correction mechanism, a variable shape optical element, a movable optical member, an optical device, an image pickup apparatus, an optical switch, a micromirror device, an ultrasonic wave probe, an ultrasonograph, a sound component, an angular velocity sensor, a vibration power generator, a surface acoustic wave generator, a piezoelectric shutter, and an electronic apparatus using the piezoelectric element. 
     According to one embodiment of the present invention, there is provided a piezoelectric element of a first mode, including:
         a substrate;   a first electrode;   a piezoelectric film; and   a second electrode,   in which the piezoelectric film contains barium zirconate titanate, manganese, and trivalent bismuth and pentavalent bismuth in a charge disproportionation state,   in which the piezoelectric film satisfies 0.02≦x≦0.13, where x is a mole ratio of zirconium to a sum of zirconium and titanium,   in which a manganese content is 0.002 moles or more and 0.015 moles or less for 1 mole of barium zirconate titanate, and   in which a bismuth content is 0.00042 moles or more and 0.00850 moles or less for 1 mole of barium zirconate titanate.       

     According to one embodiment of the present invention, there is provided a piezoelectric actuator, including: the piezoelectric element described above; and a diaphragm on which the piezoelectric element is formed. 
     According to one embodiment of the present invention, there is provided a liquid ejection head, including: a liquid chamber including a vibration unit including the piezoelectric element described above; and an ejection orifice communicating with the liquid chamber. 
     According to one embodiment of the present invention, there is provided a liquid ejection apparatus, including: a placing unit for a transfer target; and the above-mentioned liquid ejection head. 
     According to one embodiment of the present invention, there is provided a shake correction mechanism, including: two or more above-mentioned piezoelectric actuators, in which the two or more piezoelectric actuators are arranged such that, when a voltage is applied thereto, the two or more piezoelectric actuators expand and contract in two or more directions. 
     According to one embodiment of the present invention, there is provided a variable shape optical element, including: the above-mentioned piezoelectric actuator; an optical member dynamically connected to the piezoelectric actuator; and a mechanism for changing a shape of the optical member through deformation of the piezoelectric actuator. 
     According to one embodiment of the present invention, there is provided a movable optical member, including: the above-mentioned piezoelectric actuator; an optical member dynamically connected to the piezoelectric actuator; and a mechanism for moving and/or rotating the optical member through deformation of the piezoelectric actuator. 
     According to one embodiment of the present invention, there is provided an optical device, including: the above-mentioned shake correction mechanism and an optical member held by the shake correction mechanism; or the above-mentioned variable shape optical element or the above-mentioned movable optical member. 
     According to one embodiment of the present invention, there is provided an image pickup apparatus, including: the above-mentioned shake correction mechanism; and an image pickup element unit held by the shake correction mechanism. 
     According to one embodiment of the present invention, there is provided an optical switch, including the above-mentioned variable shape optical element or the above-mentioned movable optical member. 
     According to one embodiment of the present invention, there is provided a micromirror device, including: a plurality of micromirrors; and a plurality of the above-mentioned piezoelectric actuators dynamically connected to the plurality of micromirrors, respectively. 
     According to one embodiment of the present invention, there is provided an ultrasonic wave probe, including the above-mentioned piezoelectric actuator, the ultrasonic wave probe having a function of oscillating an ultrasonic wave and a function of receiving a reflected wave. 
     According to one embodiment of the present invention, there is provided an ultrasonograph, including: the above-mentioned ultrasonic wave probe; a signal processing unit; and an image generating unit. 
     According to one embodiment of the present invention, there is provided a sound component, including the above-mentioned piezoelectric actuator and being configured to perform one of sending and receiving sound through driving of the piezoelectric actuator. 
     According to one embodiment of the present invention, there is provided an angular velocity sensor, including the above-mentioned piezoelectric element and being configured to convert change in shape of the piezoelectric element into angular velocity information. 
     According to one embodiment of the present invention, there is provided a vibration power generator, including the above-mentioned piezoelectric element and being configured to convert vibrational energy into electric energy. 
     According to one embodiment of the present invention, there is provided a piezoelectric element of a second mode, including:
         a substrate;   a piezoelectric film; and   a plurality of comb electrodes,   in which the piezoelectric film contains barium zirconate titanate, manganese, and trivalent bismuth and pentavalent bismuth in a charge disproportionation state,   in which the piezoelectric film satisfies 0.02≦x≦0.13, where x is a mole ratio of zirconium to a sum of zirconium and titanium,   in which a manganese content is 0.002 moles or more and 0.015 moles or less for 1 mole of barium zirconate titanate, and   in which a bismuth content is 0.00042 moles or more and 0.00850 moles or less for 1 mole of barium zirconate titanate.       

     According to one embodiment of the present invention, there is provided a surface acoustic wave generator, including the piezoelectric element of the second mode described above. 
     According to one embodiment of the present invention, there is provided a piezoelectric shutter, including the above-mentioned surface acoustic wave generator and a light-shielding component, the piezoelectric shutter having a function of moving the light-shielding component through driving of the surface acoustic wave generator. 
     According to one embodiment of the present invention, there is provided an electronic apparatus, including an electronic component, and the above-mentioned piezoelectric element formed in relation to the electronic component. 
     Further features of the present invention will become apparent from the following description of exemplary embodiments with reference to the attached drawings. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1A ,  FIG. 1B , and  FIG. 1C  are schematic sectional views for illustrating exemplary configurations of a piezoelectric element according to a first mode of the present invention. 
         FIG. 2A ,  FIG. 2B , and  FIG. 2C  are schematic sectional views for illustrating other exemplary configurations of the piezoelectric element according to the first mode of the present invention. 
         FIG. 3A  and  FIG. 3B  are a schematic sectional view and a schematic rear view, respectively, for illustrating a configuration of a piezoelectric actuator according to an embodiment of the present invention. 
         FIG. 4A  and  FIG. 4B  are schematic views for illustrating configurations of a liquid ejection head and a liquid ejection apparatus according to embodiments, respectively, of the present invention. 
         FIG. 5  is a schematic view for illustrating a configuration of a shake correction mechanism according to an embodiment of the present invention. 
         FIG. 6A  and  FIG. 6B  are schematic views for illustrating configurations of a variable shape optical element and a movable optical member according to embodiments, respectively, of the present invention. 
         FIG. 7A ,  FIG. 7B , and  FIG. 7C  are schematic views for illustrating configurations of optical devices according to embodiments, respectively, of the present invention. 
         FIG. 8  is a schematic view for illustrating a configuration of an image pickup apparatus according to an embodiment of the present invention. 
         FIG. 9A  and  FIG. 9B  are schematic views for illustrating configurations of optical switches according to embodiments, respectively, of the present invention. 
         FIG. 10  is a schematic view for illustrating a configuration of a micromirror device according to an embodiment of the present invention. 
         FIG. 11A  and  FIG. 11B  are schematic views for illustrating configurations of an ultrasonic wave probe and an ultrasonograph according to embodiments, respectively, of the present invention. 
         FIG. 12  is a schematic view for illustrating a configuration of a sound component according to an embodiment of the present invention. 
         FIG. 13  is a schematic view for illustrating a configuration of an angular velocity sensor according to an embodiment of the present invention. 
         FIG. 14  is a schematic view for illustrating a configuration of a vibration power generator according to an embodiment of the present invention. 
         FIG. 15A  is a schematic perspective view for illustrating an exemplary configuration of a piezoelectric element according to a second mode of the present invention. 
         FIG. 15B  is a schematic view for illustrating a configuration of a surface acoustic wave generator according to an embodiment of the present invention.  FIG. 15C  and  FIG. 15D  are schematic views for illustrating a configuration of a piezoelectric shutter according to an embodiment of the present invention. 
     
    
    
     DESCRIPTION OF THE EMBODIMENTS 
     Now, exemplary embodiments of the present invention are described. 
     A piezoelectric element according to a first mode of the present invention includes a substrate, a first electrode, a piezoelectric film, and a second electrode. The piezoelectric film contains barium zirconate titanate, manganese, and trivalent bismuth and pentavalent bismuth in a charge disproportionation state. The piezoelectric film satisfies 0.02≦x≦0.13, where x is a mole ratio of zirconium to a sum of zirconium and titanium. A manganese content is 0.002 moles or more and 0.015 moles or less for 1 mole of barium zirconate titanate, and a bismuth content is 0.00042 moles or more and 0.00850 moles or less for 1 mole of barium zirconate titanate. 
     It is more preferred that the piezoelectric film contain a principle component including a perovskite metal oxide expressed by the following general formula (1):
 
Ba(Ti 1-x Zr x )O 3   (1),
 
provided that 0.02≦x≦0.13.
 
     (Configuration of Piezoelectric Element) 
       FIG. 1A  to  FIG. 1C  are schematic sectional views for illustrating exemplary configurations of the first mode of the piezoelectric element according to the present invention. The first mode of the piezoelectric element according to the present invention has a configuration including a substrate  101 , a first electrode  102 , a piezoelectric film  103 , and a second electrode  104 .  FIG. 1A  is an illustration of an embodiment in which the first electrode  102 , the piezoelectric film  103 , and the second electrode  104  have the same area and end portions thereof are aligned in a direction perpendicular to the substrate  101 , but the mode of the piezoelectric element of the present invention is not limited that illustrated in  FIG. 1A . As illustrated in  FIG. 1B  and  FIG. 1C , areas and shapes of the members can be freely changed depending on a use of the piezoelectric element. Further, insofar as the function of the piezoelectric element is not impaired, other members may be formed between the members. For example, an adhesion component  106  for enhancing adherence between the members as illustrated in  FIG. 2A  and  FIG. 2B , or a buffer component  108  for enhancing crystallinity or orientation as illustrated in  FIG. 2C  may be formed. 
       FIG. 15A  is a schematic view for illustrating an exemplary configuration of a piezoelectric element according to a second mode of the present invention. The second mode of the piezoelectric element according to the present invention has a configuration including a substrate  101 , a piezoelectric film  103 , and a plurality of comb electrodes  105 . The number of the comb electrodes  105  is two or more and is not limited to the ones illustrated in  FIG. 15A , but it is preferred that two comb electrodes be in a pair and comb portions thereof be engaged with each other. It is preferred that the number of the comb electrodes  105  be a multiple of two. The substrate  101  and the piezoelectric film  103  may be patterned. 
     (Substrate) 
     A material of the substrate  101  is not limited, but a material that does not deform and melt in a heating step when the first electrode  102 , the piezoelectric film  103 , and the second electrode  104  are formed is preferred. A maximum temperature in the heating step is typically 800° C. or lower. For example, it is preferred to use a monocrystalline substrate of magnesium oxide (MgO), strontium titanate (SrTiO 3 ), lanthanum aluminate (LaAlO 3 ), or the like, a ceramic substrate of zirconia (ZrO 2 ), alumina (Al 2 O 3 ), silica (SiO 2 ), or the like, a semiconductor substrate of silicon (Si), tungsten (W), or the like, or a heat-resistant stainless steel (SUS) substrate. A plurality of kinds of those materials may be combined, or may be laminated to be used as a multilayer configuration. 
     When the piezoelectric film  103  is selectively oriented in a direction perpendicular to a surface of the substrate  101 , it is preferred that underlayers such as the substrate  101  and the first electrode  102  be similarly oriented. In that case, it is preferred to use a monocrystalline substrate as the substrate  101 . 
     (Electrode) 
     The piezoelectric element according to the present invention includes the electrodes, and thus, a voltage can be applied to the piezoelectric film  103  to cause a piezoelectric strain or to take out an electrical signal corresponding to a strain on the piezoelectric film  103 . A material of the electrodes is not particularly limited, and may be one that is ordinarily used for a piezoelectric element. For example, a metal such as Ti, Pt, Ta, Ir, Sr, In, Sn, Au, Al, Fe, Cr, Ni, Pd, Ag, Cu, or Ru and a compound thereof may be used. 
     In particular, it is preferred to use metal electrodes of Ti, Pt, Au, or Ru. 
     The first electrode  102 , the second electrode  104 , and the comb electrodes  105  may be formed of one of those materials, or may be formed through lamination of two or more of those materials. Further, the first electrode  102  and the second electrode  104  may be formed of materials that are different from each other. 
     Methods of manufacturing the first electrode  102 , the second electrode  104 , and the comb electrodes  105  are not limited, but a high-density electrode thin film having an excellent conductivity can be obtained through use of a method selected from sputtering, vapor deposition, and chemical solution deposition (CSD). Further, the electrodes may be patterned in a desired shape. 
     Electrode widths and electrode pitches of the comb electrodes  105  are not particularly limited, and are selected depending on properties of an excited surface acoustic wave, but, for example, electrode widths and electrode pitches of 10 μm or more and 500 μm or less are appropriate for excitation of a surface acoustic wave. 
     (Piezoelectric Film) 
     The piezoelectric film of the present invention refers to a thin film-like crystalline aggregate exhibiting a direct piezoelectric effect or an inverse piezoelectric effect. A thin film is an aggregate structure formed so as to cover and adhere to a single side or both sides of a plate-like base (substrate). As illustrated in  FIG. 1A , an electrode layer such as the first electrode  102  or an adjusting layer may be included between the substrate  101  and the piezoelectric film  103 . As illustrated in  FIG. 15A , the piezoelectric film  103  may directly cover the surface of the substrate  101 . The thin film of the present invention refers to a film having a thickness measured in a direction perpendicular to a surface on which the film is formed, that is, a film thickness, of less than 10 μm, and having 20 or less grains stacked in the perpendicular direction. So-called piezoelectric ceramics formed through firing of a metal oxide as an independent formed body (compact) is not included in the piezoelectric film in the piezoelectric element according to the present invention. 
     Differently from the case of piezoelectric ceramics independent of a substrate, the piezoelectric film adheres to the substrate, and thus, is restrained by the substrate. Compressive stress or tensile stress in a film surface direction is produced in the piezoelectric film restrained by the substrate. In other words, the piezoelectric film in the piezoelectric element according to the present invention has residual stress in a direction parallel with the surface of the substrate. The residual stress suppresses change in crystal structure of the piezoelectric film when an external environment temperature changes. As a result, the piezoelectric film has a Curie temperature that is higher than that of piezoelectric ceramics having the same composition, and a practical temperature area is widened to a high temperature side. 
     Note that, the internal residual stress of the piezoelectric film is produced at a surface thereof adhering to the substrate, and thus, as the film thickness becomes larger, the internal residual stress becomes smaller. For example, when the piezoelectric film has a thickness of more than 10 μm, the effect of improving the Curie temperature produced by the internal residual stress cannot be expected. 
     Further, the piezoelectric film also has an advantage over piezoelectric ceramics in that fine patterning thereof can be carried out. When the piezoelectric film has a thickness of less than 10 μm, processing into a desired fine pattern can be easily carried out through patterning in film formation or etching after film formation. 
     (Perovskite Metal Oxide) 
     The perovskite metal oxide of the present invention refers to a metal oxide having a perovskite structure that is ideally a cubic structure as described in “Iwanami Dictionary of Physics and Chemistry”, Fifth Edition (Iwanami Shoten, published on Feb. 20, 1998). The metal oxide having a perovskite structure is generally represented by a chemical formula of ABO 3 . In the perovskite metal oxide, the elements A and B occupy specific positions in the form of ions in a unit cell, which are called A site and B site. For example, in a cubic unit cell, the element A is positioned at a vertex of the cube while the element B occupies the body-centered position of the cube. The element O occupies a face center position of the cube as an anion of oxygen. 
     In the metal oxide represented by the above-mentioned general formula (1), a metal element positioned in the A site is Ba, and metal elements positioned in the B site are Ti and Zr. However, a part of Ba may be positioned in the B site. Similarly, a part of Ti and Zr may be positioned in the A site. 
     A mole ratio of the elements at the B site to the element O in the general formula (1) described above is 1 to 3. Even when the ratio between the amounts of the elements deviates to some extent, for example, by 1% or less, insofar as a main phase of the metal oxide is the perovskite structure, such a case falls within the scope of the present invention. 
     A mole ratio of the element at the A site to the elements at the B site in the general formula (1) described above is 1 to 1. Even when the ratio of the element at the A site is in excess or falls short by a range of −5% to 20%, insofar as a main phase of the metal oxide is the perovskite structure, such a case falls within the scope of the present invention. 
     It can be determined that the metal oxide has the perovskite structure through, for example, X-ray diffraction or electron diffraction on the piezoelectric film. Insofar as a main crystal phase is the perovskite structure, the piezoelectric film may secondarily include other crystal phases. 
     (Principal Component of Piezoelectric Film) 
     It is preferred that, in the piezoelectric film according to the present invention, a representing a ratio of a molar amount of Ba at the A site to a molar amount of Ti and Zr at the B site in the general formula (1) described above be in the range of 0.9960≦a≦1.0300. When a is smaller than 0.9960, abnormal grain growth is more liable to be caused in grains forming the piezoelectric film, which lowers mechanical strength of the material. On the other hand, when a is larger than 1.0300, a temperature necessary for grain growth is too high, and thus, crystallization by an ordinary film forming method cannot be performed. “Crystallization cannot be performed” as used herein refers to a state in which a large number of pores and defects exist in the piezoelectric film. 
     In the general formula (1) described above, x representing the mole ratio of Zr at the B site is in the range of 0.02≦x≦0.13. When x is larger than 0.13, a temperature necessary for sintering is too high, and thus, grain growth is insufficient and the dielectric loss tangent becomes larger. When x is smaller than 0.02, sufficient piezoelectric properties cannot be obtained in the temperature range in which the piezoelectric element is used (from −25° C. to 50° C.) 
     A method of measuring the composition of the piezoelectric film according to the present invention is not particularly limited. Exemplary methods include X-ray fluorescence analysis (XRF), ICP-atomic emission spectrometry (ICP-AES), and atomic absorption spectroscopy (AAS). Weight ratios and composition ratios of elements contained in the piezoelectric film can be calculated by any one of those methods. A particularly preferred measurement method is XRF. 
     “A principal component” of the piezoelectric film refers to a predominant component among various components forming the piezoelectric film that gives rise to the piezoelectric properties. 
     (Measurement of Phase Transition Temperatures T or  and T ot )
         T or  and T ot  can be determined through measuring of a capacitance with an impedance analyzer (4194A manufactured by Agilent Technologies) with a temperature of a sample being changed. Dependence of the dielectric loss tangent on temperature can be determined at the same time through measurement with the impedance analyzer. T or  is a temperature at which a crystal system changes from an orthorhombic crystal to a rhombohedral crystal. Through measuring of the capacitance while the sample is cooled from 25° C. to −60° C. and determining of a temperature at which a value obtained by differentiating the capacitance with respect to the sample temperature is at the maximum, T or  can be determined. T ot  is a temperature at which a crystal system changes from an orthorhombic crystal to a tetragonal crystal. Through measuring of the capacitance while the sample is heated from −60° C. to 200° C. and determining of a temperature at which a value obtained by differentiating the capacitance with respect to the sample temperature is at the maximum, T ot  can be determined.       

     In a piezoelectric film containing, as a principal component, the perovskite metal oxide expressed by the general formula (1), the perovskite metal oxide dominantly contributes to a structure of the crystal system. Therefore, the crystal system determined from the result of the measurement may be handled as the crystal system of the perovskite metal oxide. 
     (First Auxiliary Component of Piezoelectric Film) 
     The piezoelectric film includes a first auxiliary component containing Mn. A Mn content is 0.002 moles or more and 0.015 moles or less for 1 mole of the perovskite metal oxide. 
     A first auxiliary component content can be measured through XRF, ICP-AES, AAS, or the like. A particularly preferred measurement method is XRF. From contents of metals obtained through composition analysis of the piezoelectric film, elements forming the metal oxide expressed by the general formula (1) are converted to moles, and the total number of moles is taken as 1. In this way, a molar amount of the first auxiliary component can be calculated. 
     When the piezoelectric film contains Mn in the range described above, a piezoelectric constant at room temperature (25° C.) of the piezoelectric element according to the present invention is improved to suppress a dielectric loss tangent. When the Mn content is less than 0.002 moles, difference in physical properties from a case in which Mn is not contained is small, and thus, the effects described above cannot be fully obtained. On the other hand, when the Mn content is more than 0.015 moles, the dielectric loss tangent of the piezoelectric element steeply increases. When the dielectric loss tangent of the piezoelectric element is, for example, 1.5% (measurement frequency of 1 kHz), there are problems in that heat is generated and that power consumption increases when the piezoelectric element is used. 
     Mn is not limited to metal Mn. It is enough that Mn is contained in the piezoelectric film as a Mn component, and how Mn is contained does not matter. For example, Mn may be in a solid solution at the B site, or may be contained in a grain boundary. Alternatively, the Mn component may be contained in the piezoelectric film in the form of metal, ions, an oxide, a metal salt, a complex, or the like. Mn can generally exhibit valences of 4+, 2+, and 3+. 
     (Second Auxiliary Component of Piezoelectric Film) 
     The second auxiliary component of the piezoelectric film is trivalent Bi and pentavalent Bi in the charge disproportionation state. Metal ions of the same species typically exhibit a single valence. However, Bi in the charge disproportionation state has nonuniform electron density and a state in which Bi 3+  and Bi 5+  coexist is stable. A Bi content for 1 mole of the metal oxide is 0.00042 moles or more and 0.00850 moles or less. 
     For example, in the case of a piezoelectric film formed only of the general formula (1) described above, when the Zr amount is increased, T ot  and T or  move to a high temperature side, and, depending on the Zr amount, any one of T or  and T ot  falls within the temperature range in which the piezoelectric element is used (from −25° C. to 50° C.) 
     In the piezoelectric film according to the present invention, through containing of trivalent Bi and pentavalent Bi in the charge disproportionation state in the general formula (1), a temperature range between T ot  as the phase transition point between the orthorhombic crystal phase and the tetragonal crystal phase and T or  as the phase transition temperature between the orthorhombic crystal phase and the rhombohedral crystal phase increases. As a result, in the temperature range in which the piezoelectric element is used of from −25° C. to 50° C., fluctuations of the piezoelectric properties become smaller. Trivalent Bi and pentavalent Bi form Bi ions exhibiting a valence of four on average, and are located at the B site of a perovskite unit cell. Bi exhibiting the valence of four on average has an ionic radius that is larger than those of Ti 4+  and Zr 4+ , and thus, a strain on the unit cell increases, and the orthorhombic crystal phase becomes more stable than the tetragonal crystal phase. Therefore, a region in which the orthorhombic crystal phase is stable increases in the temperature range in which the piezoelectric element is used, and thus, fluctuations of the piezoelectric properties becomes smaller. 
     When the Bi content is smaller than 0.00042 moles, any one of T ot  and T or  falls within the temperature range in which the piezoelectric element is used of from −25° C. to 50° C., and fluctuations of the piezoelectric properties in the temperature range become greater. 
     On the other hand, when the Bi content is more than 0.00850 moles, a Bi solid solubility limit is exceeded, and thus, under the influence of remaining Bi, the piezoelectric properties are not sufficient, which is not preferred. 
     Bi as the second auxiliary component is not limited to metal Bi. Bi only needs to be contained in the piezoelectric film as a Bi component, and how Bi is contained does not matter. A valence of Bi on average can be specified through X-ray absorption fine structure measurement (XAFS) using radiated light. The charge disproportionation of trivalent Bi and pentavalent Bi can be confirmed by using a reference sample, e.g., BaBiO 3  in XAFS measurement. From the viewpoint of an insulating property of the piezoelectric film according to the present invention, it is ideal that an abundance ratio between trivalent Bi and pentavalent Bi be 1:1. However, if 0.1≦Bi 3+ /Bi 5+ ≦10, then an insulating property that practically presents no problem can be obtained. Trivalent Bi and pentavalent Bi are in charge balance with Ba contained in excess in the piezoelectric film according to the present invention as Ba 2+ Bi 3+   0.5 Bi 5+   0.5 O 3 , and exist with stability. 
     (Other Auxiliary Components of Piezoelectric Film) 
     The piezoelectric film described above may contain Ca or Sr to such an extent that such element(s) may be contained in a commercially available material of Ba as an inevitable component, Nb to such an extent that Nb may be contained in a commercially available material of Ti as an inevitable component, and Hf to such an extent that Hf may be contained in a commercially available material of Zr as an inevitable component. 
     It is preferred that the piezoelectric film contain the perovskite metal oxide expressed by the general formula (1) and the first auxiliary component such that a total amount thereof is 98.5 mol % or more. Further, it is preferred that the piezoelectric film contain the perovskite metal oxide expressed by the general formula (1) as the principal component by 95 mol % or more. 
     (Thickness of Piezoelectric Film) 
     It is preferred that a maximum film thickness T P  of the piezoelectric film  103  at a portion sandwiched between the first electrode  102  and the second electrode  104  be 10 μm or less. When the film is not planar, the film thickness is measured in a perpendicular direction with the surface of the substrate  101  being a base point. A preferred upper limit and a preferred lower limit of the maximum film thickness T P  are 5,000 nm and 500 nm, respectively. Through setting of the maximum film thickness T P  of the piezoelectric film  103  to be 500 nm or more and 5,000 nm or less, functions of the piezoelectric element can be achieved, and processability of the piezoelectric film for forming an element can be attained. 
     It is more preferred that the maximum film thickness T P  of the piezoelectric film  103  be 700 nm or more and 4,000 nm or less, and it is further preferred that the maximum film thickness T P  of the piezoelectric film  103  be 1,000 nm or more and 3,500 nm or less. 
     The maximum film thickness T P  of the piezoelectric film  103  can be measured with a contact profilometer or through observation of a section thereof under a microscope. 
       FIG. 1C  is an illustration of a case in which the maximum film thickness T P  of the piezoelectric element according to the present invention having the patterned piezoelectric film  103  is specified. 
     (Electrode Thickness) 
     It is preferred that an average (T E1 +T E2 )/2 nm of a maximum film thickness T E1  nm and a minimum film thickness T E2  nm of the first electrode  102  and the second electrode  104  be in the range of 0.002×T P  nm≦(T E1 +T E2 )/2 nm≦500 nm. The maximum film thickness T E1  nm and the minimum film thickness T E2  nm are determined in a region in which the first electrode  102  and the second electrode  104  are opposed to each other with the piezoelectric film sandwiched therebetween. Therefore, when there is a dummy electrode having nothing to do with the function of the piezoelectric element, a film thickness thereof is not considered. T E1  nm is specified by selecting the larger one of the maximum film thickness of the first electrode  102  and the maximum film thickness of the second electrode  104 . T E2  nm is specified by selecting the smaller one of the minimum film thickness of the first electrode  102  and the minimum film thickness of the second electrode  104 . The maximum and minimum film thicknesses of the electrodes can be measured through observation of sections thereof under a microscope. 
       FIG. 1C  is an illustration of a case in which the maximum film thickness T E1  nm and the minimum film thickness T E2  nm of the piezoelectric element according to the present invention having the patterned second electrode  104  are specified. In this case, the first electrode  102  is in the form of a planar film, and both the film thickness of the first electrode  102  and the film thickness of the second electrode  104  are between T E1  nm and T E2  nm. 
     A lower limit of the average (T E1 +T E2 )/2 nm is 0.002×T P  nm, that is, 0.2% of the maximum film thickness T P  of the piezoelectric film  103 . For example, if T P =5,000 nm, then the lower limit of (T E1 +T E2 )/2 nm is 10 nm. When this condition is satisfied, the electrodes have a resistance value that is uniform irrespective of the locations thereof and a voltage applied to the piezoelectric element becomes more uniform, which is more preferred. 
     An upper limit of the average (T E1 +T E2 )/2 nm is 500 nm. When this condition is satisfied, the possibility that the electrodes prevent a strain on the piezoelectric element from being caused or from being detected can be reduced, which is more preferred. 
     In the case of the second mode of the piezoelectric element, it is preferred that the average (T E1 +T E2 )/2 nm of the maximum film thickness T E1  nm and the minimum film thickness T E2  nm of the comb electrodes  105  be in the range of 0.002×T P  nm≦(T E1 +T E2 )/2 nm≦500 nm. 
     (Adhesion Component) 
     It is preferred that an adhesion component containing a metal of Group 4 elements and/or Group 5 elements exists between the first electrode and the substrate.  FIG. 2A  and  FIG. 2B  are schematic sectional views of the piezoelectric element according to the present invention when the adhesion component  106  exists between the substrate  101  and the first electrode  102 . The adhesion component may exist so as to be dispersed in a dot-like manner and so as to be embedded in the first electrode  102  as the adhesion component  106  illustrated in  FIG. 2A , or may be in the shape of a layer having a thickness of 1 nm or more and 10 nm or less as the adhesion component  106  in the shape of a layer illustrated in  FIG. 2B . It is preferred that a material of the adhesion component  106  be a single-component metal, an oxide, or a nitride of Ti, Zr, or Hf of Group 4 elements, or be a single-component metal, an oxide, or a nitride of V, Nb, or Ta of Group 5 elements from the viewpoint of adhesion. Part or the entirety of the adhesion component  106  may be chemically bonded to the substrate  101  or the first electrode  102  to form an alloy or a complex oxide. 
     (Crystal Structure of Piezoelectric Film) 
     The piezoelectric film  103  according to the present invention is a thin film-like crystalline aggregate, and it is preferred that the crystalline aggregate have an aggregate structure formed of grains each having a columnar structure.  FIG. 2C  is a schematic sectional view of a piezoelectric element having an aggregate structure formed of grains each having a columnar structure in the piezoelectric film  103 . In  FIG. 2C , each of the shaded region and the unshaded region in the piezoelectric film  103  indicates a grain having a columnar structure. That a grain is a columnar crystal can be confirmed through observation of a section of the piezoelectric film portion of the piezoelectric element under a microscope. In most cases, a grain having a columnar structure and another grain adjacent to that grain have crystal orientations different from each other, and thus, a grain boundary can be determined from contrast in an image under a microscope. An aggregate structure refers to a state in which at least two grains are adjacent to each other, and it is preferred that substantially an entire region of a section of the piezoelectric film  103  be formed of an aggregate of columnar crystals. It is preferred that a grain having a columnar structure be a single grain in contact with both the first electrode  102  and the second electrode  104 . In the case of the second mode of the piezoelectric element as illustrated in  FIG. 15A , it is preferred that a grain be a single grain in contact with both the substrate  101  and the comb electrode  105 . 
     It is preferred that a grain size on the surface of the piezoelectric film  103  be 300 nm or more and 5,000 nm or less as an average equivalent circle diameter. When this condition is satisfied, the piezoelectric constant of the piezoelectric element at room temperature (25° C.) becomes more sufficient, which is preferred. On the other hand, when the grain size is 5,000 nm or less, the processability of the thin film piezoelectric element is satisfactory, which is more preferred. The “equivalent circle diameter” used herein refers to a “projected area equivalent circle diameter” that is generally mentioned in a microscopic observation method and indicates a diameter of a perfect circle having the same area as a projected area of the crystal grain. In the present invention, the method of measuring the equivalent circle diameter is not particularly limited. For example, the equivalent circle diameter can be determined by photographing a surface of the piezoelectric material using a polarizing microscope or a scanning electron microscope, and by performing image processing on the obtained photographic image. The optimum magnification varies depending on the particle diameter to be observed, and hence an optical microscope or an electron microscope may be used appropriately. An equivalent circle diameter may be determined from an image of a polished surface or a section instead of a surface of a material. An average equivalent circle diameter refers to an average of equivalent circle diameters of a plurality of grains. 
     (Curie Temperature) 
     It is preferred that the piezoelectric film in the piezoelectric element according to the present invention have a Curie temperature of 100° C. or higher. When the piezoelectric film has a Curie temperature of 100° C. or higher, that can be said to be sufficiently separate from the operating temperature range of the piezoelectric device (−25° C. to 50° C.). Thus, the influence of abrupt temperature change on the piezoelectric constant and the dielectric loss of the piezoelectric element in the vicinity of the Curie temperature can be neglected in the operating temperature range of the piezoelectric device. 
     A more preferred range of the Curie temperature of the piezoelectric film is 120° C. or higher and 180° C. or lower. When the temperature is the Curie temperature or higher, piezoelectricity of a piezoelectric material disappears. As used herein, the Curie temperature refers to a temperature at which a capacitance is at a maximum in the vicinity of the phase transition temperature between a ferroelectric phase (tetragonal crystal phase) and a paraelectric phase (cubic crystal phase). The capacitance is measured through, for example, application of a minute AC electric field having a frequency of 1 kHz using an impedance analyzer. 
     (Orientation) 
     It is preferred that a crystal forming the perovskite structure of the piezoelectric film in the piezoelectric element according to the present invention be selectively oriented in the direction perpendicular to the surface of the substrate. With regard to an orientation plane, it is preferred that a crystal be selectively oriented in a (100) plane, a (110) plane, or a (111) plane when a unit cell of the perovskite structure is regarded as a pseudo cubic crystal. 
     “Selectively oriented in an (hkl) plane” as used herein refers to a state in which a degree of orientation in the (hkl) plane is higher than degrees of orientation in other planes. This can also be described as “preferentially oriented in the (hkl) plane” and also includes a state in which a crystal is completely oriented in the (hkl) plane as in the case of a monocrystal. 
     When the piezoelectric film is oriented in the (100) plane, the (110) plane, or the (111) plane, a direction of polarization moment aligns with a direction of the strain on the piezoelectric film, and thus, the piezoelectric constant at each temperature increases. 
     The state of orientation of the piezoelectric film can be easily confirmed from a detected angle and a strength of a diffraction peak in X-ray diffraction measurement that is generally used for a crystal thin film (for example, 2θ/θ method). For example, in a diffraction chart obtained from a piezoelectric film oriented in any one of the planes, a strength of a diffraction peak detected at an angle corresponding to the plane is exceedingly higher than a total of strengths of peaks detected at angles corresponding to other planes. 
     (Method of Manufacturing Piezoelectric Film) 
     A method of manufacturing the piezoelectric film  103  is not particularly limited. Exemplary methods include CSD, sputtering, hydrothermal synthesis, aerosol deposition, and metal organic chemical vapor deposition (MOCVD). Among those methods, sputtering is a preferred manufacturing method, and is excellent in controlling the valence of Bi in the piezoelectric film. 
     Exemplary formation of the piezoelectric film  103  by sputtering is as follows. A first step is preparing a target material containing at least Ba, Bi, Ti, Zr, and Mn. The metal components may be contained in one target as a sintered body, or a Bi component may be contained in the target in the form of a BaBiO3 oxide. Alternatively, the metal components may be divided into a plurality of targets each alone or in a mixed state. A second step is placing, in a decompression chamber, the target and the substrate  101  or the substrate  101  having the first electrode  102  formed thereon and causing high energy particles (such as ionized inert gas particles) to collide against a surface of the target to form the intended piezoelectric film  103  on the surface of the substrate  101  or the first electrode  102 . For the purpose of accelerating crystallization, the substrate  101  may be heated in the chamber, or heat treatment may be performed outside the chamber after the piezoelectric film is formed. 
     (Piezoelectric Actuator) 
     A piezoelectric actuator according to the present invention includes the piezoelectric element according to the present invention and a diaphragm formed in contact with the piezoelectric element. 
       FIG. 3A  and  FIG. 3B  are a schematic sectional view and a schematic rear view, respectively, for illustrating a piezoelectric actuator according to an embodiment of the present invention. In the case illustrated in  FIG. 3A  and  FIG. 3B , a diaphragm  107  is formed in contact with the first electrode  102  and the substrate  101  of the piezoelectric element according to the present invention. 
     The diaphragm  107  has a thickness of 1.0 μm or more and 15 μm or less. A more preferred thickness thereof is 1.5 μm or more and 8 μm or less. 
     A material forming the diaphragm  107  is not particularly limited, and a metal material, a metal oxide material, a glass-based material, or the like is used. A more preferred material of the diaphragm  107  is SiO2 (silicon dioxide). 
     A method of manufacturing the diaphragm  107  is not particularly limited. For example, oxidation treatment may be performed to the substrate  101  to modify the surface thereof, or a material forming the diaphragm  107  may be bonded to the substrate  101 . The diaphragm  107  may be formed by CSD, sputtering, hydrothermal synthesis, aerosol deposition, MOCVD, or the like, or a surface portion of the substrate  101  may also serve as the diaphragm  107 . 
     In the piezoelectric actuator according to the present invention, when a voltage is applied between the first electrode  102  and the second electrode  104 , the piezoelectric film  103  is deformed. The deformation is amplified by the effect of the diaphragm  107  adhering to the piezoelectric element. As a result, the piezoelectric actuator according to the embodiment illustrated in  FIG. 3A  and  FIG. 3B  undergoes displacement to a great extent in a hole portion in the substrate  101 . An amount of the displacement can be easily controlled with the voltage and a frequency. 
     (Liquid Ejection Head) 
     Next, a liquid ejection head according to the present invention is described. 
     The liquid ejection head according to the present invention includes at least a liquid chamber including a vibration unit containing the piezoelectric element, and an ejection orifice communicating to the liquid chamber. 
       FIG. 4A  is a schematic view for illustrating a configuration of the liquid ejection head according to an embodiment of the present invention. Shapes and arrangements of members are not limited to those illustrated in  FIG. 4A . A piezoelectric element  201  includes at least a first electrode  2011 , a piezoelectric film  2012 , and a second electrode  2013 . In the case illustrated in  FIG. 4A , a substrate as one member forming the piezoelectric element according to the present invention also serves as a liquid chamber division wall  204 . The piezoelectric film  2012  and the second electrode  2013  are patterned for the purpose of enhancing ejection force of the liquid ejection head. The liquid ejection head includes ejection orifices  205 , individual liquid chambers  203 , communicating holes  206  connecting the individual liquid chambers  203  and the ejection orifices  205 , respectively, the liquid chamber division wall  204 , a common liquid chamber  207 , a diaphragm  202 , and piezoelectric elements  201 . An adhesion component may exist between the diaphragm  202  and the first electrode. A material and a thickness suitable for the diaphragm  202  are similar to those for the diaphragm in the piezoelectric actuator. 
     In the liquid ejection head of the present invention, the diaphragm  202  vertically vibrates owing to the deformation of the piezoelectric element  201  to apply a pressure to liquid stored in the individual liquid chamber  203 . As a result, the liquid is ejected from the ejection orifice  205 . The liquid ejection head of the present invention can be used in a printer application or the production of an electronic device. 
     (Liquid Ejection Apparatus) 
     Next, a liquid ejection apparatus of the present invention is described. The liquid ejection apparatus of the present invention includes a mounting unit of a transfer target, and the liquid ejection head. 
     An ink jet recording apparatus illustrated in  FIG. 4B  is an exemplary liquid ejection apparatus according to the present invention. In the ink jet recording apparatus (liquid ejection apparatus), mechanisms are incorporated into an exterior unit  301 . An automatic feeding unit  305  has a function of automatically feeding a recording sheet as a transfer target into an apparatus body. The recording sheet fed from the automatic feeding unit  305  is introduced by a conveying unit  307  to a predetermined recording location (no reference number), and, after recording operation, is again introduced by the conveying unit  307  from the recording location to a discharge unit  306 . The conveying unit  307  corresponds to a placing unit for a transfer target. In addition, the ink jet recording apparatus includes a recording unit  303  configured to perform recording on the recording sheet conveyed to the recording location and a recovering unit  302  configured to conduct recovery processing for the recording unit  303 . The recording unit  303  includes a carriage  304  configured to house the liquid ejection head therein and to reciprocate the liquid ejection head on a rail. 
     In the ink jet recording apparatus described above, the carriage  304  conveys the liquid ejection head under instruction from an external computer and ink is ejected through ejection orifices of the liquid ejection head based on a voltage applied to the piezoelectric film, to thereby perform printing. 
     In the above, a case of an ink jet recording apparatus is described, but the liquid ejection apparatus according to the present invention can be used as, other than printing apparatus such as ink jet recording apparatus including a facsimile machine, a multifunction device, and a copying machine, an industrial liquid ejection apparatus and a device for drawing a picture on a target. In addition, a user can select a desired transfer target depending on a use. 
     (Shake Correction Mechanism) 
     Next, a shake correction mechanism according to the present invention is described. The shake correction mechanism according to the present invention includes two or more piezoelectric actuators described above, and the piezoelectric actuators are arranged such that, when a voltage is applied thereto, the piezoelectric actuators expand and contract in two or more directions. 
     The shake correction mechanism has such a configuration, and thus, influence of a shake applied from the outside while a transport target is transported can be reduced. 
       FIG. 5  is a schematic view for illustrating a configuration of the shake correction mechanism according to the present invention. Shapes and arrangements of members are not limited to those illustrated in  FIG. 5 . The shake correction mechanism according to the present invention includes at least two piezoelectric actuators  401  and a transfer target  402 . Each of the piezoelectric actuators  401  has structure in which a diaphragm  4011  also serving as a substrate, a first electrode (in  FIG. 5 , unseen at the back of a piezoelectric film (no reference number)), a piezoelectric film  4012 , and a second electrode  4013  are laminated in this order. In the case illustrated in  FIG. 5 , a plurality of piezoelectric elements are arranged on a cross-shaped common substrate. It is herein assumed that the shake correction mechanism has four piezoelectric actuators  401  based on the number of the piezoelectric elements. When an alternating voltage is applied to the four piezoelectric actuators  401  illustrated in  FIG. 5  from an external voltage source, each of the piezoelectric actuators  401  expands and contracts in a longitudinal direction of the piezoelectric film  4012 . Specifically, the piezoelectric actuators  401  expand and contract in two directions orthogonal to each other to transfer shakes to the transfer target  402  in contact with the diaphragm  4011 . Through combination of shakes in the two directions, rotational motion of the transfer target  402  can be caused. When the rotational motion is caused so as to have a reverse phase with respect to the shake applied from the outside, adverse influence of the shake applied from the outside can be reduced. 
     The transfer target  402  may be a functional member that may be adversely influenced by a shake applied from the outside, e.g., an optical member such as a lens or a mirror, or may be a connecting member configured to transfer the shake to the functional member. 
     (Variable Shape Optical Element) 
     Next, a variable shape optical element according to the present invention is described. The variable shape optical element according to the present invention includes the piezoelectric actuators described above and an optical member dynamically connected to the piezoelectric actuators, and has a mechanism for changing a shape of the optical member through deformation of the piezoelectric actuators. 
       FIG. 6A  is a schematic view for illustrating a configuration of the variable shape optical element according to the present invention. Shapes and arrangements of members are not limited to those illustrated in  FIG. 6A . The variable shape optical element according to the present invention includes an optical member  502 . In the case illustrated in  FIG. 6A , the piezoelectric actuators  501  and the optical member  502  are in contact with each other, thereby achieving dynamic connection between each of the piezoelectric actuators  501  and the optical member  502 , but an intermediate member having a function of transferring deforming of the piezoelectric actuators  501  may be arranged between each of the piezoelectric actuators  501  and the optical member  502 . Arrows in  FIG. 6A  are for illustrating expansion and contraction of the piezoelectric actuators  501 , and are not members. In the case illustrated in  FIG. 6A , each of the two piezoelectric actuators  501  is dynamically connected to the optical member  502  at one location, but the numbers of the piezoelectric actuators  501  and the optical member  502  and connecting locations are not limited thereto. The optical member  502  is a member having a function of acting on properties of an optical path or a light beam such as a lens, a filter, or a mirror. For example, when a lens having a refractive index that is higher than that of air is used as the optical member  502 , the shape of the optical member  502  can be changed depending on deformation of the piezoelectric actuators  501  to control a refracting angle of light passing through the lens. 
     (Movable Optical Member) 
     Next, a movable optical member according to the present invention is described. The movable optical member according to the present invention includes the piezoelectric actuators described above and an optical member dynamically connected to the piezoelectric actuators, and has a mechanism for moving and/or rotating the optical member through deformation of the piezoelectric actuators. 
       FIG. 6B  is a schematic view for illustrating a configuration of the movable optical member according to the present invention. Shapes and arrangements of members are not limited to those illustrated in  FIG. 6B . The movable optical member according to the present invention includes the piezoelectric actuators  501 , the optical member  502  configured to be moved or rotated under the influence of deformation of the piezoelectric actuators  501 , and piezoelectric strain transfer units  503  configured to move or rotate the optical member  502  depending on deformation of the piezoelectric actuators  501 . 
     In the case illustrated in  FIG. 6B , the piezoelectric actuators  501  are in contact with the piezoelectric strain transfer units  503 , respectively, and the piezoelectric strain transfer units  503  are in contact with the optical member  502 , thereby making dynamic connection between each of the piezoelectric actuators  501  and the optical member  502 . However, another intermediate member may be arranged between each of the piezoelectric actuators  501  and the optical member  502 . Arrows in  FIG. 6B  are for illustrating movement or rotation of the optical member  502 , and are not members. The optical member  502  is a member having the function of acting on properties of an optical path or a light beam such as a lens, a filter, or a mirror. For example, when a mirror is used as the optical member  502 , coordinates and an angle of the optical member  502  can be changed depending on deformation of the piezoelectric actuators  501  to control a direction of light reflected by the mirror. 
     (Optical Device) 
     Next, an optical device of the present invention is described. 
     A first mode of the optical device according to the present invention includes the shake correction mechanism, and an optical member held by the shake correction mechanism. 
       FIG. 7A  is a schematic view for illustrating a configuration of the optical device according to the present invention. The numbers and arrangements of members are not limited to those illustrated in  FIG. 7A . An optical device  601  according to the present invention includes a shake correction mechanism  6011  and optical members  6012  as transport targets of the shake correction mechanism  6011 . A lens barrel connected to an image pickup apparatus when used is an example of the optical device. In this case, the optical members  6012  are lenses. There is a problem in that, when a shake such as a hand-induced shake is applied from the outside to the optical device used as the lens barrel, an optical path of exiting light fluctuates during exposure time of the image pickup apparatus. This problem can be solved through suppression by the shake correction mechanism  6011  of coordinate fluctuations of the optical members  6012 . As illustrated in  FIG. 7A , it is preferred that the shake correction mechanism  6011  be arranged at a location at which the shake correction mechanism  6011  does not interfere with the optical path passing through the optical members  6012 . 
     A second mode of the optical device according to the present invention includes the variable shape optical element described above. 
       FIG. 7B  is a schematic view for illustrating a configuration of the optical device according to the present invention. The optical device  601  according to the present invention includes at least a variable shape optical element  6013 . The number and arrangement of the variable shape optical element  6013  are not limited to those illustrated in  FIG. 7B . A lens barrel connected to an image pickup apparatus when used is an example of the optical device. In this case, the variable shape optical element  6013  is a variable lens. When a variable lens whose optical path can be controlled by a piezoelectric actuator is used, there is an effect that the number of lenses used in the lens barrel can be reduced. As illustrated in  FIG. 7B , it is preferred that the variable shape optical element  6013  be arranged on an optical path of light incident on and exiting from the optical device  601 . 
     A third mode of the optical device according to the present invention includes the movable optical member described above. 
       FIG. 7C  is a schematic view for illustrating a configuration of the optical device according to the present invention. The optical device  601  according to the present invention includes at least a movable optical member  6014 . The number and arrangement of the movable optical member  6014  are not limited to those illustrated in  FIG. 7C . A lens barrel connected to an image pickup apparatus when used is an example of the optical device. In this case, the movable optical member  6014  is a movable lens or a movable mirror. When a movable lens or a movable mirror whose optical path can be controlled by a piezoelectric actuator is used, there is an effect that the number of lenses used in the lens barrel can be reduced. As illustrated in  FIG. 7C , it is preferred that the movable optical member  6014  be arranged on an optical path of light incident on and exiting from the optical device  601 . 
     (Image Pickup Apparatus) 
     Next, an image pickup apparatus according to the present invention is described. 
     The image pickup apparatus according to the present invention includes the shake correction mechanism described above, and an image pickup element unit held by the shake correction mechanism. 
       FIG. 8  is a schematic view for illustrating a configuration of the image pickup apparatus according to the present invention. 
     An image pickup apparatus  701  according to the present invention includes a shake correction mechanism  7011  and an image pickup element unit  7012  as a transport target of the shake correction mechanism  7011 . The image pickup element unit  7012  is, for example, an electronic substrate having an image pickup element and an electrical element mounted thereon. Exemplary image pickup elements include a charge-coupled device (CCD) and a complementary metal oxide semiconductor (CMOS). 
     There is a problem in that, when a shake such as a hand-induced shake is applied from the outside to the image pickup element unit  7012 , image pickup data fluctuates during exposure time. This problem can be solved through suppression by the shake correction mechanism  7011  of coordinate fluctuations of the image pickup element unit  7012 . As illustrated in  FIG. 8 , it is preferred that the shake correction mechanism  7011  be arranged at a location at which the shake correction mechanism  7011  does not interfere with an optical path reaching a light receiving surface of the image pickup element unit  7012 . 
     (Optical Switch) 
     Next, an optical switch according to the present invention is described. 
     A first mode of the optical switch according to the present invention includes the variable shape optical element described above. 
       FIG. 9A  is a schematic view for illustrating a configuration of the optical switch according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 9A . An optical switch  801  according to the present invention includes a mechanism in which an optical path from an optical signal input terminal  8012  to an optical signal output terminal  8013  is changed under the influence of deformation of a variable shape optical element  8011 .  FIG. 9A  is an illustration of a case in which two optical signal output terminals  8013  are arranged, and, through switching of the optical signal output terminal  8013  that light reaches with the variable shape optical element  8011 , on/off operation as a switch can be performed. In the case illustrated in  FIG. 9A , the variable shape optical element  8011  includes a material having a light transmission property such as an optical fiber and a piezoelectric actuator. 
     A second mode of the optical switch according to the present invention includes the movable optical member described above. 
       FIG. 9B  is a schematic view for illustrating a configuration of the optical switch according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 9B . In the case illustrated in  FIG. 9B , a movable optical member  8014  itself that includes a moving unit  80141  and a reflecting unit  80142  is an optical switch, but an optical switch may have a member other than the movable optical member  8014 , for example, a slit or the like formed therein that is configured to limit a location irradiated with incident light. The moving unit  80141  is a structure configured to move in a side-to-side direction in  FIG. 9B  under instructions from an external computer, and the reflecting unit  80142  is formed on surfaces on the incident light side thereof. The reflecting unit  80142  and the moving unit  80141  are coupled to each other, and thus, move together. The reflecting unit  80142  is, for example, mirror surfaces, and has a function of generating reflected light depending on the incident light. When, for example, the movable optical member  8014  moves in the side-to-side direction, coordinates of the reflecting unit  80142  irradiated with the incident light can be changed to change a direction of the reflected light. Using the change in direction of the reflected light, on/off operation as a switch can be performed. 
     (Micromirror Device) 
     Next, a micromirror device according to the present invention is described. 
     The micromirror device according to the present invention includes a plurality of micromirrors and the piezoelectric actuators described above that are dynamically connected to the micromirrors, respectively. 
       FIG. 10  is a schematic view for illustrating a configuration of the micromirror device according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 10 . In the micromirror device according to the present invention illustrated in  FIG. 10 , under instruction from a control unit  904 , respective piezoelectric actuators  902  are deformed due to piezoelectric effect, directions and magnitudes of the deformation are adjusted by a piezoelectric strain transfer unit  903 , and, as a result of those operations, micromirrors  901  are moved or rotated. The function described above enables reflection of light incident on the micromirrors in an arbitrary direction. 
     (Ultrasonic Wave Probe) 
     Next, an ultrasonic wave probe according to the present invention is described. 
     The ultrasonic wave probe according to the present invention includes the piezoelectric actuator described above, and has a function of oscillating an ultrasonic wave and a function of receiving a reflected wave. 
       FIG. 11A  is a schematic view for illustrating a configuration of the ultrasonic wave probe according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 11A . An ultrasonic wave probe  1001  according to the present invention illustrated in  FIG. 11A  includes therein a piezoelectric actuator  10011 , and an ultrasonic wave produced due to inverse piezoelectric effect of the piezoelectric actuator  10011  is oscillated (sent) toward a subject. Wavy arrows in  FIG. 11A  schematically indicate ultrasonic wave propagation, and are not members of the ultrasonic wave probe  1001 . The ultrasonic wave is reflected by internal tissue of the subject and returns toward the ultrasonic wave probe  1001  as ultrasonic echoes. Through conversion of vibrations caused by the ultrasonic echoes into electrical signals by the piezoelectric actuator  10011 , information on the internal tissue of the subject can be obtained. 
     The piezoelectric actuator  10011  in charge of oscillation and reception of an ultrasonic wave may be a plurality of piezoelectric actuators, and one of the plurality of piezoelectric actuators may be a unit other than a piezoelectric actuator used in place thereof. 
     (Ultrasonograph) 
     Next, an ultrasonograph according to the present invention is described. 
     The ultrasonograph according to the present invention includes, the ultrasonic wave probe, a signal processing unit, and an image generating unit. 
       FIG. 11B  is a schematic view for illustrating a configuration of the ultrasonograph according to the present invention. The order of connection of members is not limited to that illustrated in  FIG. 11B . In the ultrasonograph according to the present invention illustrated in  FIG. 11B , an electrical signal caused by a reflected wave received by the ultrasonic wave probe  1001  is subjected to data conversion and data accumulation in a signal processing unit  1002 , and conversion into image information is made in an image forming unit  1003 . The ultrasonograph also has a function of sending the image information to an external image display unit (display). 
     (Sound Component) 
     Next, a sound component according to the present invention is described. 
     A sound component according to the present invention includes the piezoelectric actuator and is configured to send or receive sound through driving of the piezoelectric actuator. 
       FIG. 12  is a schematic view for illustrating a configuration of the sound component according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 12 . A sound component  1101  according to the present invention illustrated in  FIG. 12  includes therein a piezoelectric actuator  11011 , and has a function of sending a sound wave produced due to inverse piezoelectric effect of the piezoelectric actuator  11011  and receiving a sound wave from the outside using direct piezoelectric effect. The sound component  1101  may include a diaphragm configured to amplify a sound wave. Wavy arrows in  FIG. 12  schematically indicate sound wave propagation, and are not members of the sound component  1101 . Exemplary sound components include a microphone, a speaker, and a buzzer. 
     (Angular Velocity Sensor) 
     Next, an angular velocity sensor according to the present invention is described. 
     The angular velocity sensor according to the present invention includes the piezoelectric element described above, and is configured to convert change in shape of the piezoelectric element into angular velocity information. 
       FIG. 13  is a schematic view for illustrating a configuration of the angular velocity sensor according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 13 . An angular velocity sensor  1201  illustrated in  FIG. 13  includes therein a piezoelectric element  12011 , and a shape of the piezoelectric element  12011  is changed by a Coriolis force caused due to triaxial rotation of a body of the angular velocity sensor  1201 . The change in shape of the piezoelectric element  12011  is converted into an electrical signal due to direct piezoelectric effect, and is converted into angular velocity information by a signal processing unit  1202  formed inside or outside the angular velocity sensor. The angular velocity sensor  1201  may include a member other than the piezoelectric element  12011 , and, as a configuration thereof, one known as a vibrating angular velocity sensor (gyro sensor) can be applied. Arrows and dotted lines in the vicinity thereof in  FIG. 13  schematically indicate directions of the triaxial rotation, and are not members of the angular velocity sensor  1201 . 
     (Vibration Power Generator) 
     Next, a vibration power generator according to the present invention is described. 
     The vibration power generator according to the present invention includes the piezoelectric element described above, and is configured to convert vibrational energy into electric energy. 
       FIG. 14  is a schematic view for illustrating a configuration of the vibration power generator according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 14 . A vibration power generator  1301  according to the present invention illustrated in  FIG. 14  includes therein a piezoelectric element  13011 , and has a power generating function of converting vibrational energy from the outside into electric energy using direct piezoelectric effect in the piezoelectric element  13011 . The vibration power generator  1301  may include a vibration receiving unit for adjusting a direction and a frequency of vibration from the outside. 
     (Surface Acoustic Wave Generator) 
     Next, a surface acoustic wave generator according to the present invention is described. 
     The surface acoustic wave generator according to the present invention includes the piezoelectric element according to the second mode of the present invention illustrated in  FIG. 15A . 
       FIG. 15B  is a schematic view for illustrating a configuration of the surface acoustic wave generator according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 15B . A surface acoustic wave generator  1401  according to the present invention illustrated in  FIG. 15B  includes therein a piezoelectric element  14011 , and, through application of an alternating voltage by a power supply  14012 , a surface acoustic wave is generated between an input side comb interdigital electrode (interdigital transducer: IDT) and an output side comb interdigital electrode. At this time, when a wavelength of the surface acoustic wave is a multiple of a cycle of arranging the IDTs, surface acoustic waves generated at the respective electrodes are in phase with each other, which improves a propagation state. 
     (Piezoelectric Shutter) 
     Next, a piezoelectric shutter according to the present invention is described. 
     The piezoelectric shutter according to the present invention includes the surface acoustic wave generator described above and a light-shielding component, and has a function of moving the light-shielding component by driving the surface acoustic wave generator. 
       FIG. 15C  and  FIG. 15D  are schematic views for illustrating a configuration of the piezoelectric shutter according to the present invention. The numbers, shapes, and arrangements of members are not limited to those illustrated in  FIG. 15C  and  FIG. 15D . The piezoelectric shutter according to the present invention illustrated in  FIG. 15C  includes the surface acoustic wave generator  1401  having a piezoelectric film and an IDT on each surface thereof, and an opaque light-shielding component  1402 . The opaque light-shielding component  1402  has a movable protruding portion  14021  as a protruding portion configured to be in friction-contact with both surfaces of the surface acoustic wave generator  1401 , and a rotation axis portion  14022  that is mounted to a housing (no reference number) and thus cannot be moved, but is rotatable. A light receiving unit  1403  configured to detect light passing through the piezoelectric shutter is an external member arranged beyond the plane of the drawing sheet, and is not included in the piezoelectric shutter. When an alternating voltage is applied to the surface acoustic wave generator  1401  under a state in which the light receiving unit  1403  is not covered with the light-shielding component  1402  (open location) as illustrated in  FIG. 15C  to generate a surface acoustic wave that moves the movable protruding portion  14021  toward a top side within the plane of the drawing sheet, the light-shielding component  1402  starts rotational movement about the rotation axis portion  14022 , and then, the state is as illustrated in  FIG. 15D  (closed location). Change from the closed location to the open location can be similarly made through movement of the movable protruding portion  14021  downward. 
     (Other Uses) 
     The piezoelectric element and the piezoelectric actuator according to the present invention can be applied to, other than the uses described above, overall piezoelectric devices employing a piezoelectric function. Exemplary uses include various kinds of piezoelectric sensors, ferroelectric memories, frequency filters, and piezoelectric oscillators. The piezoelectric element according to the present invention is not limited to the embodiments described above, and can be mounted on various electronic apparatus. With an electronic component forming the electronic apparatus and a piezoelectric element formed in relation to the electronic component, an electronic apparatus having excellent properties can be provided. 
     Now, the present invention is described more specifically by way of examples. However, the present invention is not limited by the following examples. 
     The piezoelectric element of the present invention was manufactured as described below. 
     EXAMPLE 1 
     (Piezoelectric Element) 
     The piezoelectric element according to the first mode of the present invention was manufactured. 
     As the first electrode, a platinum electrode having a thickness of 400 nm was formed on a commercially available silicon substrate by DC sputtering. As an adhering layer, a titanium oxide film having a thickness of 30 nm was formed between the first electrode and the silicon substrate. 
     For the purpose of using as a target for sputtering, a sintered body corresponding to target composition of the piezoelectric film was manufactured. Taking into consideration a difference in evaporation rate while the film was formed by sputtering, elements that might be located at the A site such as Ba and Bi were adapted to be in excess in the target sintered body. 
     Specifically, materials for the target corresponding to Ba(Ti 0.950 Zr 0.050 )O 3 +0.0050MnO 2 +0.0020BiO 3/2  were weighed as follows. 
     As the materials, powdery agents of barium carbonate, bismuth oxide, titanium oxide, zirconium oxide, iron oxide, and manganese dioxide, all of which had a purity of 99.5% or more and were commercially available, were used. At that time, for the purpose of adding Bi, BaBiO 3  powder was manufactured in advance by a solid-phase method. The manufactured BaBiO 3  powder and the materials described above were weighed so as to be at a ratio in composition Ba(Ti 0.950 Zr 0.050 )O 3 +0.0050MnO 2 +0.0020BaBiO 3/2  and mixing was performed. 
     As described above, BaBiO 3  is a substance that can exist stably in which charge balance is kept as Ba 2+ Bi 3+   0.5 Bi 5+   0.5 O 3 , and Bi is in the charge disproportionation state. 
     The powdery agents were mixed by dry mixing for 24 hours using a ball mill. A total weight of the powdery mixture was 100 parts by weight, and 3 parts by weight of a PVA binder for the powdery mixture was caused to adhere to a surface of the powdery mixture using a spray dryer to perform granulation. Then, the obtained granulated powder was filled in a mold, and a molding pressure of 200 MPa was applied thereto using a press molding machine to manufacture a disc-like formed body. The obtained formed body was placed in an electric furnace and kept therein for four hours under conditions in which the maximum temperature was 1,350° C. 24 hours in total were taken for sintering in atmospheric air to obtain the target sintered body. 
     The target sintered body was used to form, by RF sputtering, the piezoelectric film on the first electrode on the substrate described above. The maximum film thickness was adjusted through a film formation time. An atmosphere in the sputtering apparatus was a mixture of argon and oxygen at a ratio of from 10:1 to 20:1, and a vacuum in the order of 0.5 Pa was maintained. Further, the film was formed under a state in which heating to 650° C. was kept from a rear surface of the substrate (surface opposite to the surface on which the first electrode was formed). 
     In this way, the piezoelectric element according to the first mode of the present invention was obtained. 
     The obtained piezoelectric element had structure in which the silicon substrate, the first electrode, the piezoelectric film, and the second electrode were laminated in this order. The maximum film thickness T P  was 2,000 nm. The average (T E1 +T E2 )/2 nm of the maximum film thickness T E1  nm and the minimum film thickness T E2  nm of the first and second electrodes was 500 nm. An adhesion component of a Ti metal component existed at an interface portion between the first electrode and the substrate. Almost an entire region of a section of the piezoelectric film had an aggregate structure formed of grains each having a columnar structure. A grain size at the surface of the film as an average equivalent circle diameter was 2,000 nm. 
     X-ray diffraction measurement of the piezoelectric film portion of the piezoelectric element was performed with the temperature being changed in the range of from −25° C. to 50° C. In the entire temperature range of from −25° C. to 50° C., only a peak corresponding to the perovskite structure of a non-oriented orthorhombic crystal was observed. A lattice constant of a tetragonal crystal phase converted from the peak was compared with a known lattice constant of bulk ceramics having the same composition, and it was found that the piezoelectric film of the piezoelectric element of the example had internal residual stress in a tensile direction due to restraint by the substrate. 
     The second electrode of the piezoelectric element was removed by polishing processing, and the composition of the piezoelectric film portion was analyzed by XRF. It was found that a principal component was a metal oxide that was able to be expressed by the chemical formula Ba(Ti 0.950 Zr 0.050 )O 3 . Further, it was found that 0.0050 moles of a Mn component and 0.0020 moles of a Bi component were contained for 1 mole of the metal oxide. 
     Next, the phase transition temperatures T or  and T ot  of the piezoelectric element of Example 1 were evaluated. T or  and T ot  were determined through measuring and calculating of the capacitance and the dielectric loss tangent with an impedance analyzer (4194A manufactured by Agilent Technologies) with a temperature of a sample being changed. The temperature of the sample was once cooled from room temperature (25° C.) to −60° C. and then heated to 200° C. At this time, T or  is the temperature at which a crystal system changes from an orthorhombic crystal to a rhombohedral crystal, and is defined as a temperature at which a value obtained by differentiating a permittivity of a sample measured while the sample is cooled with respect to the sample temperature is at the maximum. T ot  is the temperature at which a crystal system changes from an orthorhombic crystal to a tetragonal crystal, and is defined as a temperature at which a value obtained by differentiating the permittivity of the sample measured while the sample is heated with respect to the sample temperature is at the maximum. 
     At this time, a temperature width in which the crystal system of the piezoelectric film of Example 1 was an orthorhombic crystal was a difference between the phase transition temperature T ot  between the orthorhombic crystal and the tetragonal crystal of 52° C. and the phase transition temperature T or  between the orthorhombic crystal and the rhombohedral crystal of −33° C., i.e., 85° C. 
     The Curie temperature of the piezoelectric film included in the piezoelectric element of Example 1 was 130° C. 
     Next, for the purpose of measuring a piezoelectric constant d 31 , the piezoelectric element according to the present invention was cut into a strip shape having a length of 15 mm and a width of 2.5 mm and was used as a cantilever. An end portion of the cantilever in a longitudinal direction was fixed, and an alternating voltage was applied to the piezoelectric element. An amount of displacement of vertically reciprocating an end portion of the piezoelectric element on a side opposite to the fixed end portion was measured with a laser Doppler displacement gauge, which was able to be converted into the piezoelectric constant d 31  using information such as a shape and a Young&#39;s modulus of the cantilever. The constant d 31  at room temperature (25° C.) was measured. An absolute value |d 31 | thereof was 125 μm/V. 
     The cantilever was placed in an environmental test chamber in which a temperature was controlled to be in the range of from −25° C. to 50° C. A laser was radiated through a light passing window of the test chamber, and constants d 31  at the respective temperatures were measured. The largest constant d 31  was obtained through measurement at −25° C., and an absolute value |d 31 | thereof was 130 μm/V. The smallest constant d 31  was obtained through measurement at 50° C., and |d 31 | was 121 μm/V. |d 31 | at room temperature, 25° C., was 125 μm/V. 
     The following index for evaluating fluctuations of the piezoelectric properties in the temperature range in which the piezoelectric element was used (from −25° C. to 50° C.) was defined as a piezoelectric fluctuation rate, and measured and calculated. A maximum value of |d 31 | from −25° C. to 50° C. was expressed by d 31max , and a minimum value of |d 31 | from −25° C. to 50° C. was expressed by d 31min , and piezoelectric fluctuation rate=((|d 31max |−|d 31min |)/|d 31max |)·100 was calculated. The piezoelectric fluctuation rate of the piezoelectric element of Example 1 was 6.9%. 
     EXAMPLES 2 TO 23 
     Piezoelectric elements according to the present invention having different compositions were obtained by a manufacturing method similar to those of Example 1. Table 1 shows the composition of the piezoelectric films. Kinds of the substrate, the adhering layer, and the first electrode included in the piezoelectric elements, methods of forming the piezoelectric films, the maximum temperatures in film forming processes, and kinds of the second electrodes are shown in Table 2. 
     “(100) oriented monocrystal” of Example 19 in Table 2 refers to a MgO monocrystalline substrate that was cut out such that a film forming surface thereof was a (100) plane. Similarly, in Example 22, a MgO monocrystalline substrate in which a film forming surface was a (110) plane was used, and, in Example 23, a MgO monocrystalline substrate in which a film forming surface thereof was a (111) plane was used. 
     Results of measurement performed similarly to Example 1 of the maximum film thicknesses T P  of the piezoelectric films and the averages (T E1 +T E2 )/2 of the maximum film thicknesses T E1  nm and the minimum film thicknesses T E2  nm of the first and second electrodes are shown in Table 3. An adhesion component of a Ti metal component existed at the interface portion between the first electrode and the substrate. Almost an entire region of a section of the piezoelectric film had an aggregate structure formed of grains each having a columnar structure. In X-ray diffraction measurement, in the entire temperature range of from −25° C. to 50° C., only a peak corresponding to the perovskite structure of a non-oriented orthorhombic crystal was observed. The piezoelectric film portion had therein tensile stress when the substrate was formed of silicon, and had therein compressive stress when the substrate was formed of an oriented monocrystal. Composition of the piezoelectric film portion was as shown in Table 1. 
     Grain sizes at the film surfaces of the piezoelectric elements were as shown in Table 3, and were 1,000 nm at the minimum and 3,400 nm at the maximum. 
     Results of measurement of the Curie temperatures, dielectric losses at respective temperatures, and the piezoelectric constants d 31  of the piezoelectric elements of the respective examples were as shown in Table 4. The Curie temperature was 101° C. at the minimum and 175° C. at the maximum. Maximum values of the dielectric losses in the range of from −25° C. to 50° C. were in a range of from 0.0030 to 0.0055. 
     COMPARATIVE EXAMPLE 1 
     A piezoelectric element for comparison was manufactured similarly to the case of Example 1 except that composition of the piezoelectric film was a metal oxide that was able to be expressed by the chemical formula Ba(Ti 0.90 Zr 0.10 )O 3  and a Mn oxide added at a ratio of 0.02 moles for 1 mole of the metal oxide with reference to Paragraph [0087] of Japanese Patent Application Laid-Open No. 2011-243722. 
     A section of the piezoelectric film had an aggregate structure formed of grains each having a columnar structure. X-ray diffraction measurement of the piezoelectric film portion of the piezoelectric element for comparison was performed at 25° C., and only a peak corresponding to the perovskite structure of a non-oriented orthorhombic crystal was observed. 
     Other physical properties were as shown in Table 3 and Table 4. Similarly to the case of Example 1, the phase transition temperatures T or  and T ot  were evaluated. The phase transition temperature T ot  between the orthorhombic crystal phase and the tetragonal crystal phase and the phase transition temperature T or  between the orthorhombic crystal phase and the rhombohedral crystal phase were 40° C. and −52° C., respectively. Therefore, it was made clear that the phase transition temperature T ot  between the orthorhombic crystal phase and the tetragonal crystal phase was in the temperature range in which the piezoelectric element was used (from −25° C. to 50° C.) Further, the temperature width in which the crystal system of the piezoelectric film was an orthorhombic crystal was 92° C. 
     The maximum constant d 31  of the piezoelectric element for comparison was obtained by measurement at room temperature (25° C.), and the absolute value |d 31 | thereof was 51 μm/V. |d 31 | at any of the temperatures fell below |d 31 | at the same temperature of the piezoelectric element of Example 1. 
     Further, the piezoelectric fluctuation rate of Comparative Example 1 was calculated to be 28%. 
     COMPARATIVE EXAMPLES 2 TO 10 
     Piezoelectric elements of comparative examples having different compositions were obtained by manufacturing methods similar to that of Example 1. Compositions of the piezoelectric films are shown in Table 1. Similarly to the cases of the examples, film forming conditions were as shown Table 2, forms and states of the films were as shown in Table 3, and physical properties and piezoelectric properties of the piezoelectric films were as shown in Table 4. 
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 1 
               
             
            
               
                   
                   
               
               
                   
                 Principal component 
                 First 
                 Second 
               
               
                   
                 Barium zirconate 
                 auxiliary 
                 auxiliary 
               
               
                   
                 titanate 
                 component 
                 component 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Ti 
                 Zr 
                 Mn 
                 Bi 
               
               
                   
                 1-x 
                 x 
                 mol 
                 mol 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
            
               
                 Example 1 
                 0.950 
                 0.050 
                 0.0050 
                 0.0020 
               
               
                 Example 2 
                 0.950 
                 0.050 
                 0.0050 
                 0.0020 
               
               
                 Example 3 
                 0.980 
                 0.020 
                 0.0050 
                 0.0020 
               
               
                 Example 4 
                 0.940 
                 0.060 
                 0.0050 
                 0.0030 
               
               
                 Example 5 
                 0.870 
                 0.130 
                 0.0148 
                 0.0079 
               
               
                 Example 6 
                 0.980 
                 0.020 
                 0.0148 
                 0.0074 
               
               
                 Example 7 
                 0.900 
                 0.100 
                 0.0148 
                 0.0054 
               
               
                 Example 8 
                 0.870 
                 0.130 
                 0.0148 
                 0.0084 
               
               
                 Example 9 
                 0.960 
                 0.040 
                 0.0020 
                 0.0015 
               
               
                 Example 10 
                 0.950 
                 0.050 
                 0.0060 
                 0.0020 
               
               
                 Example 11 
                 0.950 
                 0.050 
                 0.0119 
                 0.0015 
               
               
                 Example 12 
                 0.950 
                 0.050 
                 0.0148 
                 0.0013 
               
               
                 Example 13 
                 0.957 
                 0.043 
                 0.0148 
                 0.0004 
               
               
                 Example 14 
                 0.915 
                 0.085 
                 0.0049 
                 0.0049 
               
               
                 Example 15 
                 0.870 
                 0.130 
                 0.0099 
                 0.0084 
               
               
                 Example 16 
                 0.970 
                 0.030 
                 0.0020 
                 0.0004 
               
               
                 Example 17 
                 0.957 
                 0.043 
                 0.0148 
                 0.0004 
               
               
                 Example 18 
                 0.870 
                 0.130 
                 0.0020 
                 0.0085 
               
               
                 Example 19 
                 0.870 
                 0.130 
                 0.0148 
                 0.0084 
               
               
                 Example 20 
                 0.950 
                 0.050 
                 0.0050 
                 0.0020 
               
               
                 Example 21 
                 0.950 
                 0.050 
                 0.0050 
                 0.0020 
               
               
                 Example 22 
                 0.950 
                 0.050 
                 0.0050 
                 0.0020 
               
               
                 Example 23 
                 0.950 
                 0.050 
                 0.0050 
                 0.0020 
               
               
                 Comparative 
                 0.990 
                 0.010 
                 0.0020 
                 0.0004 
               
               
                 Example 1 
               
               
                 Comparative 
                 0.860 
                 0.140 
                 0.0148 
                 0.0084 
               
               
                 Example 2 
               
               
                 Comparative 
                 0.980 
                 0.020 
                 0.0050 
                 0.0000 
               
               
                 Example 3 
               
               
                 Comparative 
                 0.980 
                 0.020 
                 0.0050 
                 0.0003 
               
               
                 Example 4 
               
               
                 Comparative 
                 0.950 
                 0.050 
                 0.0148 
                 0.0003 
               
               
                 Example 5 
               
               
                 Comparative 
                 0.930 
                 0.070 
                 0.0148 
                 0.0003 
               
               
                 Example 6 
               
               
                 Comparative 
                 0.870 
                 0.130 
                 0.0148 
                 0.0089 
               
               
                 Example 7 
               
               
                 Comparative 
                 0.960 
                 0.040 
                 0.0000 
                 0.0010 
               
               
                 Example 8 
               
               
                 Comparative 
                 0.960 
                 0.040 
                 0.0010 
                 0.0010 
               
               
                 Example 9 
               
               
                 Comparative 
                 0.945 
                 0.055 
                 0.0216 
                 0.0010 
               
               
                 Example 10 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 2 
               
               
                   
                   
               
               
                   
                   
                   
                 First 
                 Second 
               
               
                   
                 Substrate 
                 Adhering layer 
                 electrode 
                 electrode 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Example 1 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 2 
                 Silicon 
                 Ti 
                 Ru 
                 Pt 
               
               
                 Example 3 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 4 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 5 
                 Silicon 
                 Ti 
                 Pt 
                 Au 
               
               
                 Example 6 
                 Silicon 
                 Ti 
                 Pt 
                 Au 
               
               
                 Example 7 
                 Silicon 
                 Ti 
                 Pt 
                 Au 
               
               
                 Example 8 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 9 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 10 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 11 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 12 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 13 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 14 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 15 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 16 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 17 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 18 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 19 
                 (100) oriented 
                 Ti 
                 Pt 
                 Pt 
               
               
                   
                 monocrystal 
               
               
                 Example 20 
                 (100) oriented 
                 Ti 
                 Pt 
                 Pt 
               
               
                   
                 monocrystal 
               
               
                 Example 21 
                 (100) oriented 
                 Ti 
                 Pt 
                 Pt 
               
               
                   
                 monocrystal 
               
               
                 Example 22 
                 (110) oriented 
                 Ti 
                 Pt 
                 Pt 
               
               
                   
                 monocrystal 
               
               
                 Example 23 
                 (111) oriented 
                 Ti 
                 Pt 
                 Pt 
               
               
                   
                 monocrystal 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 1 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 2 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 3 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 4 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 5 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 6 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 7 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 8 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 9 
               
               
                 Comparative 
                 Silicon 
                 Ti 
                 Pt 
                 Pt 
               
               
                 Example 10 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                   
                 TABLE 3 
               
               
                   
                   
               
               
                   
                   
                   
                   
                   
                 Grain size of 
                   
                   
               
               
                   
                 T P   
                 (T E1  + T E2 )/2 
                 Crystal 
                 Crystal grain 
                 film surface 
                 Residual 
                 Oriented 
               
               
                   
                 nm 
                 nm 
                 structure 
                 section 
                 nm 
                 stress 
                 state 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Example 1 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,600 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 2 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,700 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 3 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 3,100 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 4 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,400 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 5 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,100 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 6 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 3,200 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 7 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,800 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 8 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,000 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 9 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,500 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 10 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,400 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 11 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,600 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 12 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,900 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 13 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,900 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 14 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,300 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 15 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,000 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 16 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,400 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 17 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 3,400 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 18 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 3,000 
                 Tensile 
                 Random 
               
               
                   
                   
                   
                 crystal 
               
               
                 Example 19 
                 1,700 
                 500 
                 Orthorhombic 
                 Columnar 
                 2,900 
                 Compressive 
                 (100) 
               
               
                   
                   
                   
                 crystal 
                   
                   
                   
                 Oriented 
               
               
                 Example 20 
                 1,700 
                 500 
                 Orthorhombic 
                 Columnar 
                 1,900 
                 Compressive 
                 (100) 
               
               
                   
                   
                   
                 crystal 
                   
                   
                   
                 Oriented 
               
               
                 Example 21 
                 1,700 
                 500 
                 Orthorhombic 
                 Columnar 
                 2,700 
                 Compressive 
                 (100) 
               
               
                   
                   
                   
                 crystal 
                   
                   
                   
                 Oriented 
               
               
                 Example 22 
                 1,700 
                 500 
                 Orthorhombic 
                 Columnar 
                 1,800 
                 Compressive 
                 (110) 
               
               
                   
                   
                   
                 crystal 
                   
                   
                   
                 Oriented 
               
               
                 Example 23 
                 1,700 
                 500 
                 Orthorhombic 
                 Columnar 
                 1,700 
                 Compressive 
                 (111) 
               
               
                   
                   
                   
                 crystal 
                   
                   
                   
                 Oriented 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 3,800 
                 Tensile 
                 Random 
               
               
                 Example 1 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 900 
                 Tensile 
                 Random 
               
               
                 Example 2 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 4,600 
                 Tensile 
                 Random 
               
               
                 Example 3 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 4,000 
                 Tensile 
                 Random 
               
               
                 Example 4 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 2,900 
                 Tensile 
                 Random 
               
               
                 Example 5 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,500 
                 Tensile 
                 Random 
               
               
                 Example 6 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,000 
                 Tensile 
                 Random 
               
               
                 Example 7 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 600 
                 Tensile 
                 Random 
               
               
                 Example 8 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 1,100 
                 Tensile 
                 Random 
               
               
                 Example 9 
                   
                   
                 crystal 
               
               
                 Comparative 
                 2,000 
                 400 
                 Orthorhombic 
                 Columnar 
                 4,800 
                 Tensile 
                 Random 
               
               
                 Example 10 
                   
                   
                 crystal 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
             
               
                   
                 TABLE 4 
               
               
                   
                   
               
               
                   
                 Phase 
                 Phase 
                   
                 Piezoelectric 
                   
                   
               
               
                   
                 transition 
                 transition 
                 Curie 
                 constant 
               
               
                   
                 temperature 
                 temperature 
                 temperature 
                 (25° C.) 
                   
                 Dielectric 
               
               
                   
                 T or   
                 T ot   
                 T c   
                 |d 31 | 
                 ((d 31max  − d 31min )/ 
                 loss 
               
               
                   
                 [° C.] 
                 [° C.] 
                 [° C.] 
                 [pm/V] 
                 d 31max ) · 100 
                 tangent 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Example 1 
                 −33 
                 52 
                 130 
                 125 
                 6.9 
                 0.0042 
               
               
                 Example 2 
                 −34 
                 55 
                 131 
                 124 
                 7.2 
                 0.0047 
               
               
                 Example 3 
                 −46 
                 42 
                 142 
                 118 
                 7.7 
                 0.0041 
               
               
                 Example 4 
                 −31 
                 59 
                 126 
                 115 
                 7.2 
                 0.0044 
               
               
                 Example 5 
                 −34 
                 57 
                 101 
                 121 
                 7.1 
                 0.0035 
               
               
                 Example 6 
                 −31 
                 32 
                 145 
                 133 
                 7.8 
                 0.0038 
               
               
                 Example 7 
                 −33 
                 68 
                 108 
                 122 
                 5.7 
                 0.0036 
               
               
                 Example 8 
                 −30 
                 54 
                 102 
                 138 
                 4.8 
                 0.0101 
               
               
                 Example 9 
                 −35 
                 44 
                 135 
                 124 
                 5.8 
                 0.0055 
               
               
                 Example 10 
                 −38 
                 48 
                 132 
                 120 
                 5.6 
                 0.0041 
               
               
                 Example 11 
                 −29 
                 53 
                 129 
                 114 
                 6.3 
                 0.0043 
               
               
                 Example 12 
                 −31 
                 49 
                 128 
                 103 
                 7.8 
                 0.0032 
               
               
                 Example 13 
                 −32 
                 40 
                 131 
                 115 
                 9.1 
                 0.0035 
               
               
                 Example 14 
                 −37 
                 69 
                 122 
                 117 
                 5.5 
                 0.0106 
               
               
                 Example 15 
                 −34 
                 55 
                 104 
                 104 
                 4.9 
                 0.0044 
               
               
                 Example 16 
                 −31 
                 32 
                 141 
                 128 
                 7.4 
                 0.0055 
               
               
                 Example 17 
                 −30 
                 41 
                 139 
                 106 
                 8.9 
                 0.0037 
               
               
                 Example 18 
                 −36 
                 69 
                 105 
                 98 
                 5.6 
                 0.0113 
               
               
                 Example 19 
                 −40 
                 60 
                 107 
                 100 
                 5.6 
                 0.0104 
               
               
                 Example 20 
                 −30 
                 63 
                 175 
                 149 
                 4.8 
                 0.0034 
               
               
                 Example 21 
                 −32 
                 70 
                 163 
                 151 
                 4.6 
                 0.003 
               
               
                 Example 22 
                 −29 
                 58 
                 168 
                 143 
                 5.6 
                 0.0031 
               
               
                 Example 23 
                 −33 
                 59 
                 171 
                 147 
                 5.1 
                 0.0045 
               
               
                 Comparative 
                 −52 
                 40 
                 149 
                 51 
                 28 
                 0.0061 
               
               
                 Example 1 
               
               
                 Comparative 
                 10 
                 58 
                 93 
                 56 
                 21 
                 0.0112 
               
               
                 Example 2 
               
               
                 Comparative 
                 −23 
                 33 
                 135 
                 80 
                 41 
                 0.0055 
               
               
                 Example 3 
               
               
                 Comparative 
                 −45 
                 37 
                 142 
                 106 
                 41 
                 0.0055 
               
               
                 Example 4 
               
               
                 Comparative 
                 −11 
                 48 
                 134 
                 127 
                 24 
                 0.0046 
               
               
                 Example 5 
               
               
                 Comparative 
                 20 
                 59 
                 126 
                 151 
                 53 
                 0.0059 
               
               
                 Example 6 
               
               
                 Comparative 
                 −55 
                 51 
                 106 
                 — 
                 — 
                 — 
               
               
                 Example 7 
               
               
                 Comparative 
                 −27 
                 55 
                 129 
                 83 
                 13 
                 0.0286 
               
               
                 Example 8 
               
               
                 Comparative 
                 −28 
                 54 
                 133 
                 87 
                 11 
                 0.0131 
               
               
                 Example 9 
               
               
                 Comparative 
                 −23 
                 49 
                 137 
                 65 
                 9.6 
                 0.0246 
               
               
                 Example 10 
               
               
                   
               
            
           
         
       
     
     EXAMPLE 24 
     The piezoelectric element according to the second mode of the present invention having the configuration illustrated in  FIG. 15A  was manufactured. Specifically, the piezoelectric element was manufactured in a way similar to that of Example 1 except that the first electrode was not formed and the second electrode was in the shape of combs. The comb electrode pitches were 25 μm, electrode line widths were 10 μm, and a space therebetween was 15 μm. 
     Further, as illustrated in  FIG. 15B , an external power supply was connected to the comb electrodes opposed to each other to form the surface acoustic wave generator according to the present invention. Excitation of a surface acoustic wave depending on an input alternating voltage was confirmed. 
     (Influence of Manufacturing Method) 
     As shown in Table 2 with regard to Example 1 and Example 2, it was found that equivalent properties were able to be obtained whether the piezoelectric element according to the present invention was manufactured by CSD or sputtering. With regard to other examples, it was confirmed that effects of the present invention were able to be obtained irrespective of the film forming method. 
     (Influence of Mn Amount) 
     Influence of change in Mn amount in the piezoelectric element of Example 1 was examined. 
     When the Mn content was more than 0.0020 moles for 1 mole of the metal oxide as the principal component, piezoelectric properties similar to those of Example 1 were able to be obtained when the Mn content was up to 0.015 moles. However, if the Mn amount was as large as about 0.020 moles, as in Comparative Example 10, the piezoelectric constant significantly decreased compared with that of Example 1, and the dielectric loss tangent at room temperature (25° C.) was 0.246, i.e., 2.46%, which was significantly worse and 1.3% or more. 
     On the other hand, when the Mn content was smaller than 0.005 moles, for example, as in Example 9, piezoelectric properties similar to those of Example 1 were able to be obtained when the Mn content was down to 0.002 moles. However, when no Mn was added as in Comparative Example 8, the piezoelectric constant at room temperature (25° C.) was steeply reduced (by 30% or more), and the dielectric loss tangent abruptly and significantly increased (by approximately seven times) compared with Example 1. 
     (Influence of Bi Amount) 
     Influence of change in Bi amount in the piezoelectric element of Example 1 was examined. 
     The valences of Bi were evaluated with XAFS. As reference samples, BiFeO 3  in which Bi exhibited a valence of three, Ba 2 CaBiO 5.5  in which Bi exhibited a valence of five, and BaBiO 3  in which Bi exhibited a valence of four on average were prepared. Through comparison of peak locations of XANES spectrum with XAFS between those reference samples and the piezoelectric film, the valence of Bi can be evaluated. The peak location of BaBiO 3  is located between that of BiFeO 3  in which Bi is trivalent and that of Ba 2 CaBiO 5.5  in which Bi is pentavalent. Bi in BaBiO 3  cannot be tetravalent, and thus, it is known that the amount of trivalent Bi and the amount of pentavalent Bi in BaBiO 3  are substantially the same and Bi exhibits a valence of four on average. 
     Peak locations of the XANES spectrum of the piezoelectric films of Examples according to the present invention were measured, and were substantially the same as that of BaBiO 3 . It was thus made clear that the valences of Bi in the piezoelectric films of Examples according to the present invention were in the charge disproportionation state. 
     Further, the amount of trivalent Bi and the amount of pentavalent Bi were thought to be substantially the same. 
     When the Bi content was larger than 0.0004 moles for 1 mole of the metal oxide as the principal component, the piezoelectric constant at room temperature (25° C.) increased. Comparison was made between Example 9 and Example 13 having almost the same zirconium content. When the Bi content was 0.0015 moles as in Example 9, the exhibited piezoelectric constant was larger by about 7% than that of Example 13 in which the Bi content was 0.0004 moles. However, when the Bi content was 0.0084 moles, the dielectric loss tangent at room temperature (25° C.) was in an acceptable range, but became a little worse and was 1% or more. 
     On the other hand, when the Bi content was smaller than 0.0005 moles for 1 mole of the metal oxide as the principal component, piezoelectric properties similar to those of Example 1 were able to be obtained when the Bi content was down to 0.00042 moles. However, when no Bi was contained as in Comparative Example 8, the piezoelectric constant at room temperature (25° C.) was smaller than 65% of that of Example 1. 
     Further, when no Bi was contained, the temperature width in which the crystal system of the piezoelectric film was an orthorhombic crystal was 60° C. or lower, which was smaller than 75° C. as the temperature range in which the piezoelectric element was used (from −25° C. to 50° C.). Therefore, the piezoelectric fluctuation rate was 30% or more. 
     (Influence of Zr Amount) 
     Influence of change in Zr amount in the piezoelectric elements of Examples was examined. 
     When x representing the mole ratio of Zr was larger than 0.020, the piezoelectric constant at room temperature (25° C.) increased. When x=0.050, the piezoelectric constant at room temperature (25° C.) was larger by about 5% than that of the piezoelectric element of Example 3 in which x=0.020. However, when x=0.014 as in Comparative Example 2, the temperature width in which the crystal system of the piezoelectric film was an orthorhombic crystal was 70° C. or lower, which was smaller than 75° C. as the temperature range in which the piezoelectric element was used (from −25° C. to 50° C.) Therefore, the piezoelectric fluctuation rate was 20% or more. 
     On the other hand, when x representing the mole ratio of Zr was 0.01 as in Comparative Example 1, the piezoelectric constant decreased by about 60%. 
     (Piezoelectric Actuator) 
     The piezoelectric element of Example was used to manufacture the piezoelectric actuator having the structure illustrated in  FIG. 3A  and  FIG. 3B . Displacement of a thin piece portion of the piezoelectric actuator depending on application of an alternating voltage was confirmed. Note that, as the diaphragm, a SiO 2  film having a thickness of 5 μm was used. The amount of displacement of the thin piece portion of the piezoelectric actuator using the piezoelectric element of Example was more than twice as much as that using the piezoelectric element of Comparative Example. The amount of displacement of the piezoelectric actuator in an environmental test chamber was measured similarly under environmental temperatures of from −25° C. to 50° C. as the temperature range in which the piezoelectric element was used, and a substantially equivalent amount of displacement was confirmed at the respective temperatures. 
     (Liquid Ejection Head) 
     A liquid ejection head having the structure illustrated in  FIG. 4A  was manufactured using the piezoelectric element of Example. 
     Liquid droplet ejection performance of the obtained liquid ejection head when the applied voltage was 20 V at 10 kHz was evaluated. The ejection performance of the liquid ejection head of Example was satisfactory. 
     (Liquid Ejection Apparatus) 
     The liquid ejection head described above was used to manufacture the liquid ejection apparatus illustrated in  FIG. 4B . Ink ejection in response to an input electrical signal was confirmed. 
     (Shake Correction Mechanism) 
     The piezoelectric actuator described above was used to manufacture the shake correction mechanism illustrated in  FIG. 5 . As the transfer target, a glass lens and a CMOS element were used. Rotational movement of the transfer target in response to an input electrical signal was confirmed. 
     (Variable Shape Optical Element) 
     The piezoelectric actuator described above was used to manufacture the variable shape optical element illustrated in  FIG. 6A . As the optical member, a polyacrylic acid-based plastic lens was used. Deformation of the optical member in response to an input electrical signal was confirmed. 
     (Movable Optical Member) 
     The piezoelectric actuator described above was used to manufacture the movable optical member illustrated in  FIG. 6B . As the piezoelectric strain transfer unit, a metal rod made of aluminum was used, and, as the optical member, a mirror formed by evaporating aluminum on a glass plate was used. Movement or rotation of the optical member in response to an input electrical signal was confirmed. 
     (Optical Device) 
     The shake correction mechanism described above was used to manufacture the optical device illustrated in  FIG. 7A . It was confirmed that change in optical path of exiting light due to a shake from the outside was able to be suppressed by the function of the shake correction mechanism. 
     The variable shape optical element described above or the movable optical member described above was used to manufacture the optical devices illustrated in  FIG. 7B  and  FIG. 7C . Change in optical path in response to application of an alternating voltage was confirmed. 
     (Image Pickup Apparatus) 
     The shake correction mechanism described above was used to manufacture the image pickup apparatus illustrated in  FIG. 8 . It was confirmed that change in a taken image due to a shake from the outside was able to be suppressed by the function of the shake correction mechanism. 
     (Optical Switch) 
     The variable shape optical element in which the piezoelectric actuator described above and an optical fiber are dynamically connected was used to manufacture the optical switch illustrated in  FIG. 9A . Switching operation of the optical switch in response to an input electrical signal was confirmed. 
     The piezoelectric actuator described above and the variable shape optical element illustrated in  FIG. 9B  were dynamically connected to manufacture the optical switch. Switching operation of the optical switch in response to an input electrical signal was confirmed. 
     (Micromirror Device) 
     The piezoelectric actuator described above was used to manufacture the micromirror device illustrated in  FIG. 10 . As the piezoelectric strain transfer unit, a metal rod made of aluminum was used. Movement and rotation of the micromirror device in response to an input electrical signal was confirmed. 
     (Ultrasonic Wave Probe) 
     The piezoelectric actuator described above was used to manufacture the ultrasonic wave probe illustrated in  FIG. 11A . Operation of sending an ultrasonic wave in response to an input electrical signal and operation of receiving an ultrasonic wave reflected by a subject were confirmed. 
     (Ultrasonograph) 
     The ultrasonic wave probe described above was used to manufacture the ultrasonograph illustrated in  FIG. 11B . Generation of an ultrasonic wave image with reduced noise from oscillation data of an output/input ultrasonic wave was confirmed. 
     (Sound Component) 
     The piezoelectric actuator described above was used to manufacture the sound component illustrated in  FIG. 12 . Sending of a sound wave in response to an input electrical signal or receiving of a sound wave from the outside was confirmed. 
     (Angular Velocity Sensor) 
     The piezoelectric element of Example was used to manufacture the angular velocity sensor having the signal processing unit illustrated in  FIG. 13 . It was confirmed that change in shape due to movement, rotation, or the like of the sensor body was converted into angular velocity information by the processing unit. 
     (Vibration Power Generator) 
     The piezoelectric element of Example was used to manufacture the vibration power generator illustrated in  FIG. 14 . The vibration power generator was placed on a mechanical pump, and the mechanical pump was actuated. It was confirmed that power generating operation in which vibrational energy was converted into electric energy was performed. 
     (Piezoelectric Shutter) 
     The surface acoustic wave generator of Example 2 was used to manufacture the piezoelectric shutter illustrated in  FIG. 15C . The piezoelectric film and the comb electrodes were formed on both surfaces of the substrate. Opening/closing operation of the piezoelectric shutter in response to an input electrical signal was confirmed. 
     The piezoelectric element according to the present invention has satisfactory stable piezoelectric properties in a temperature range in which the piezoelectric element is used. Further, the piezoelectric element does not contain lead, and thus, loads on the environment are light. Therefore, the piezoelectric element according to the present invention is applicable to a piezoelectric actuator, a liquid ejection head, a liquid ejection apparatus, a shake correction mechanism, a variable shape optical element, a movable optical member, an optical device, an image pickup apparatus, an optical switch, a micromirror device, an ultrasonic wave probe, an ultrasonograph, a sound component, an angular velocity sensor, a vibration power generator, a surface acoustic wave generator, a piezoelectric shutter, and other electronic apparatus as a whole that use the piezoelectric function. 
     According to the present invention, a piezoelectric element containing no lead therein, which has a high Curie temperature at a piezoelectric film portion and has satisfactory and stable piezoelectric properties in a temperature range in which the piezoelectric element is used can be provided. Further, according to the present invention, there can be provided a piezoelectric actuator, a liquid ejection head, a liquid ejection apparatus, a shake correction mechanism, a variable shape optical element, a movable optical member, an optical device, an image pickup apparatus, an optical switch, a micromirror device, an ultrasonic wave probe, an ultrasonograph, a sound component, an angular velocity sensor, a vibration power generator, a surface acoustic wave generator, a piezoelectric shutter, and an electronic apparatus that use the piezoelectric element. 
     While the present invention has been described with reference to exemplary embodiments, it is to be understood that the invention is not limited to the disclosed exemplary embodiments. The scope of the following claims is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures and functions. 
     This application claims the benefit of Japanese Patent Application No. 2015-231471, filed Nov. 27, 2015, which is hereby incorporated by reference wherein in its entirety.