BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 shows a perspective view of a first embodiment of the present invention;
FIG. 2 shows a top view of a resonator in the first embodiment of the present invention;
FIG. 3 is a bottom view of the resonator in the first embodiment of the present invention;
FIG. 4A is a cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4B is another cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4C is still another cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4D is still another cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4E is still another cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4F is still another cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4G is still another cross-sectional view of the resonator showing, in sequential order, the manufacturing processes in the first embodiment of the present invention;
FIG. 4H is a cross-sectional view of a resonator in another embodiment of the present invention;
FIG. 5A is an explanatory cross-sectional view of a vibrating part of a typical conventional quartz resonator;
FIG. 5B is a cross-sectional view of a vibrating part of the resonator shown in FIG. 2, taken along a line A-A, in association with the present invention;
FIG. 6 shows an example of the relationship between thickness of a lower electrode and degradation of its excitation efficiency;
FIG. 7 shows an example of the relationship between the bandwidth and the ratio of (the portion of the electrode excitation part occupied in the vibrating part) to (the total length of the vibrating part);
FIG. 8 is a top view of a resonator for describing another preferred embodiment of the present invention;
FIG. 9 is a cross-sectional view of the resonator taken along a line A-A shown in FIG. 8;
FIG. 10 is a top view of a resonator for describing another preferred embodiment of the present invention;
FIG. 11 shows an example of the relationship between the thickness of a piezoelectric material and the deviation of the vibration frequency of a resonator;
FIG. 12 is a top view of a resonator in another preferred embodiment of the present invention;
FIG. 13 shows an example of the relationship between the depth of the recess and the deviation of the vibration frequency of a resonator;
FIG. 14 is a top view of a resonator in a preferred embodiment of the present invention;
FIG. 15 is a top view of a resonator in a preferred embodiment of the present invention;
FIG. 16 is a top view of a resonator in a preferred embodiment of the present invention;
FIG. 17 is a circuit diagram of an equivalent circuit for which the resonator of the present invention is applied;
FIG. 18 is another circuit diagram of an equivalent circuit for which the resonator of the present invention is applied;
FIG. 19 is a cross-sectional view of a resonator of the present invention, which is mounted in a device;
FIG. 20 is another example of a circuit diagram of an equivalent circuit in which a resonator of the present invention is applied; and
FIG. 21 is a top view of the arrangement of a resonator of the present invention and other electric parts to be integrated on a substrate.