Temperature stable MEMS resonator
In a microelectromechanical system (MEMS) resonator having a reduced magnitude of thermal coefficient of frequency (TCF), a resonant member has first and second surfaces and an opening in the first surface that extends toward the second surface. A compensating material is disposed within the opening and characterized by a temperature coefficient of Young's Modulus (TCE) having a sign opposite that of a TCE of the resonant member.
1. A microelectromechanical system (MEMS) resonator having a reduced magnitude of thermal coefficient of frequency (TCF), the MEMS resonator comprising:
a resonant member to generate an oscillatory output signal through oscillation in a mechanical resonance mode, the resonant member having first and second surfaces and an opening in the first surface that extends toward the second surface, wherein the opening in the first surface of the resonant member extends into the resonant member without reaching the second surface; and
a compensating material disposed within the opening in the first surface of the resonant member and characterized by a temperature coefficient of Young's Modulus (TCE) having a sign opposite that of a TCE of the resonant member.
2. The MEMS resonator of claim 1 wherein the opening in the first surface of the resonant member extends to a depth less than a distance between the first and second surfaces along an axis normal to the first and second surfaces.
3. The MEMS resonator of claim 1 further comprising a liner material disposed in the opening.
4. The MEMS resonator of claim 1 wherein a cross section of the resonant member through the opening and the first and second surfaces is characterized by opposing sidewalls of the resonant member that constitute sides of the opening.
5. The MEMS resonator of claim 1 wherein the opening in the first surface of the resonant member is formed by removal of a constituent material of the resonant member.
6. The MEMS resonator of claim 1 wherein a cross section of the opening, parallel to the first surface, has a quadrilateral shape.
7. The MEMS resonator of claim 1 wherein the compensating material comprises an oxide.
8. The MEMS resonator of claim 1 wherein the resonant member comprises silicon.
9. The MEMS resonator of claim 1 wherein the fillable space is formed in a region of the resonating element by removal of a constituent material of the resonating element from that region.
10. The MEMS resonator of claim 1 wherein the fillable space is formed beneath the first surface of the resonating element and wherein a cross section of the fillable space parallel to the first surface has a quadrilateral shape.
11. The MEMS resonator of claim 1 wherein the fillable space is formed beneath the first surface of the resonating element and wherein the fillable space has a cuboidal shape having an opening at the first surface and bounded on five sides.
12. A microelectromechanical system (MEMS) resonator having a reduced magnitude of thermal coefficient of frequency (TCF), the MEMS resonator comprising:
a resonating element having a fillable space therein, wherein the resonating element has opposite first and second surfaces and the fillable space extends into the resonant element from the first surface without reaching the second surface; and
a compensating material disposed in the fillable space within the resonating element and characterized by a temperature coefficient of Young's Modulus (TCE) having a sign opposite that of a TCE of the resonating element.
13. The MEMS resonator of claim 12 wherein the fillable space is defined by at least one sidewall in the resonating element that extends from the first surface of the resonant element toward the second surface of the resonant element.
14. The MEMS resonator of claim 13 wherein a depth of the fillable space is less than a distance between the first and second surfaces measured along an axis normal to the first and second surfaces.
15. The MEMS resonator of claim 12 further comprising a liner material disposed between the fillable space and the second surface.
16. The MEMS resonator of claim 12 wherein a cross section of the resonating element and fillable space is characterized by opposing sidewalls of the resonating element that constitute sides of the fillable space.
17. A microelectromechanical system (MEMS) resonator having a reduced magnitude of thermal coefficient of frequency (TCF), the MEMS resonator comprising:
a resonant member to generate an oscillatory output signal through oscillation in a mechanical resonance mode, the resonant member having first and second surfaces and an opening in the first surface that extends toward the second surface;
a liner material disposed within the opening; and
a compensating material disposed within the opening in the first surface of the resonant member and characterized by a temperature coefficient of Young's Modulus (TCE) having a sign opposite that of a TCE of the resonant member.