Abstract: A resonator element includes a quartz crystal substrate in which a plane including X and Z? axes is set as a main plane and a direction oriented along Y? axis is a thickness direction. The quartz crystal substrate includes a first region that includes a side along the X axis and a side along the Z? axis, a second region that has a thickness thinner than the first region. When Mx is a length of the first region along the X axis, Mz is a length of the first region along the Z? axis, Z is a length of the quartz crystal substrate along the Z? axis, and lz is a length of the second region along the Z? axis interposed between the first region and an outer frame of the quartz crystal substrate, relations of 0.9<Mz/Mx<1.175 and 0.085<lz/Z<0.18 are satisfied.

Abstract: A resonator element includes a quartz crystal substrate having a main surface along a plane including an X-axis and a Z?-axis, and a thickness in a Y?-axis direction. The quartz crystal substrate includes a vibrating portion including a side along the X-axis, a side along the Z?-axis, and a peripheral portion having a thickness smaller than that of the vibrating portion, which is provided along an outer edge of the vibrating portion. The vibrating portion includes a first portion and a second portion having a thickness smaller than that of the first portion, which is provided on at least an outer edge on a +X side of the X-axis and an outer edge on a ?X side thereof, among outer edges of the first portion. When Z is a length of the quartz crystal substrate along the Z?-axis, and t is a thickness of the first portion, 11<Z/t?53.

Abstract: A quartz crystal resonator includes a quartz crystal resonator element, a thermistor, and a package base having a first principal surface and a second principal surface having an opposed surface relationship with each other, the quartz crystal resonator element is mounted on the first principal surface side, the thermistor is housed in a recessed section of the second principal surface side of the package base, a plurality of electrode terminals connected to the quartz crystal resonator element or the thermistor is disposed on the second principal surface side of the package base, and a distance in a first direction perpendicular to the first principal surface from a mounting surface of the electrode terminals to the thermistor is equal to or longer than 0.05 mm.

Abstract: A vibrating element includes: an element plate that has a vibrating portion that performs thickness-shear vibration, a peripheral portion that is integrally formed with the vibrating portion, and a protruding portion that is provided at the peripheral portion; and an excitation electrode that is provided at the vibrating portion. When a side length of the vibrating portion is Mx, when a side length of the excitation electrode is Ex, and when a wavelength of flexure vibrations of the element plate is ?, the relationship of (Mx?Ex)/2=?/2, and Mx/2={(A/2)+(¼)}? (where, A is a positive integer) is satisfied, and when a length of the protruding portion is Dx, and when a distance between the vibrating portion and the protruding portion is Sx, the relationship of Dx=?/2)×m, and (?/2)×n?0.1??Sx?(?/2)×n+0.1? (where m and n are positive integers) is satisfied.

Abstract: A vibrating element includes: an element plate that has a vibrating portion that performs thickness-shear vibration, a peripheral portion that is integrally formed with the vibrating portion, and a protruding portion that is provided at the peripheral portion; and an excitation electrode that is provided at the vibrating portion. When a side length of the vibrating portion is Mx, when a side length of the excitation electrode is Ex, and when a wavelength of flexure vibrations of the element plate is ?, the relationship of (Mx?Ex)/2=?/2, and Mx/2={(A/2)+(¼)}? (where, A is a positive integer) is satisfied, and when a length of the protruding portion is Dx, and when a distance between the vibrating portion and the protruding portion is Sx, the relationship of Dx=?/2)×m, and (?/2)×n?0.1??Sx?(?/2)×n+0.1? (where m and n are positive integers) is satisfied.

Abstract: A piezoelectric resonator includes: a piezoelectric plate having a vibrating portion surrounded by a peripheral portion; and an excitation electrode on the piezoelectric plate, wherein long sides of the vibrating portion and excitation electrode are parallel to a piezoelectric plate long side. Assuming a piezoelectric plate long side length X, a vibrating portion thickness t, a vibrating portion long side length Mx, an excitation electrode long side length Ex, and a piezoelectric plate flexure vibration wavelength ?, ?/2=(1.332/f)?0.0024 (piezoelectric resonator resonance frequency f), (Mx?Ex)/2=?/2, Mx/2={(A/2)+(1/4)}? (where, A is a positive integer), and X?20t. A protruding portion is disposed on a vibrating portion extension line and parallel to a vibrating portion short side. Assuming a protruding portion length Dx, Dx=(?/2)×m (where, m is a positive integer). Assuming a distance Sx between the vibrating and protruding portions, Sx=(?/2)×n±0.1? (where, n is a positive integer).

Abstract: A piezoelectric resonator includes: a piezoelectric plate having a vibrating portion surrounded by a peripheral portion; and an excitation electrode on the piezoelectric plate, wherein long sides of the vibrating portion and excitation electrode are parallel to a piezoelectric plate long side. Assuming a piezoelectric plate long side length X, a vibrating portion thickness t, a vibrating portion long side length Mx, an excitation electrode long side length Ex, and a piezoelectric plate flexure vibration wavelength ?, ?/2=(1.332/f)?0.0024 (piezoelectric resonator resonance frequency f), (Mx?Ex)/2=?/2, Mx/2={(½)+(¼)}? (where, I=1, 2, 3, . . . ), and X?20 t. A protruding portion is disposed on a vibrating portion extension line and parallel to a vibrating portion short side. Assuming a protruding portion length Dx, Dx=(?/2)×m (where, m=1, 2, 3, . . . ). Assuming a distance Sx between the vibrating and protruding portions, Sx=(?/2)×n±0.1? (where, n=1, 2, 3, . . . ).