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Aspects of the subject disclosure include, for example, obtaining a mechanical resonating structure comprising a compensating structure, where the compensating structure comprises one or more materials having an adaptive stiffness that reduces a variance in a resonating frequency of the mechanical r

Aspects of the subject disclosure include, for example, obtaining a mechanical resonating structure comprising a compensating structure, where the compensating structure comprises one or more materials having an adaptive stiffness that reduces a variance in a resonating frequency of the mechanical resonating structure (f0), and adjusting at least one of a value of f0 of the obtained mechanical resonating structure or a value of a temperature for which temperature coefficient of frequency of the obtained mechanical resonating structure is approximately zero (T0) by altering a thickness of at least one targetable material of the mechanical resonating structure. Other embodiments are disclosed.

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1. A method, comprising: constructing a mechanical resonating structure by applying an active layer on a surface of a compensating structure, wherein the compensating structure comprises: a first layer having a stiffness that adapts to a change in temperature over a first temperature range;a third l

1. A method, comprising: constructing a mechanical resonating structure by applying an active layer on a surface of a compensating structure, wherein the compensating structure comprises: a first layer having a stiffness that adapts to a change in temperature over a first temperature range;a third layer having a stiffness that adapts to a change in temperature over a second temperature range; anda second layer between the first layer and the third layer; andadjusting an operational profile of the mechanical resonating structure by adding one or more materials to at least a first portion of the mechanical resonating structure, removing one or more materials from at least a second portion of the mechanical resonating structure, or combinations thereof, wherein the operational profile comprises a measurement of at least one of a resonant frequency of the mechanical resonating structure, a profile of a temperature coefficient of frequency of the mechanical resonating structure, one or more temperatures for which the temperature coefficient of frequency of the mechanical resonating structure is approximately zero, or a temperature coefficient of stiffness of the mechanical resonating structure. 2. The method of claim 1, wherein the first and second temperature ranges are substantially similar. 3. The method of claim 1, wherein a thicknesses of each of the active layer, the first layer, the second layer, and the third layer results in a plurality of thickness ratios therebetween, and wherein the operational profile is influenced by at least one of the plurality of thickness ratios. 4. The method of claim 3, wherein adjusting the operational profile of the mechanical resonating structure comprises adjusting at least one of the plurality of thickness ratios by adding one or more materials to at least one of the active layer, the first layer, the second layer, or the third layer, removing one or more materials from at least one of the active layer, the first layer, the second layer, or the third layer, or combinations thereof. 5. The method of claim 1, comprising: forming an adjustment layer on the first and second portions of the mechanical resonating structure; andadjusting the operational profile of the mechanical resonating structure by adding one or more materials to the adjustment layer, removing one or more materials from the adjustment layer, or combinations thereof. 6. The method of claim 1, wherein at least one of the first or second portions of the mechanical resonating structure correspond to an adjustment surface, and wherein the adjustment surface is located on at least one of a top surface of the mechanical resonating structure, a side surface of the mechanical resonating structure, a bottom surface of the mechanical resonating structure, or combinations thereof. 7. The method of claim 5, wherein the adjustment layer is formed of a conductive material, a non-conductive material, or a combination thereof. 8. The method of claim 1, comprising adding the one or more materials to the first portion of the mechanical resonating structure according to a deposition process. 9. The method of claim 8, wherein the deposition process comprises at least one of a vapor deposition process, a sputter deposition process, a thin film deposition process, an electron beam-induced deposition process, or an ion beam-induced deposition process. 10. The method of claim 1, comprising removing the one or more materials from the second portion of the mechanical resonating structure according to a removal process comprising at least one of an electron beam process, an ion beam process, a chemical process, a laser induced removal process, a heat induced removal process, or a photolithography process. 11. The method of claim 1, further comprising: measuring the operational profile of the mechanical resonating structure; anddetermining at least one divergent property between the measured operational profile and a desired operational profile; andadjusting the operational profile according to the at least one divergent property. 12. The method of claim 11, wherein the mechanical resonating structure is constructed on a wafer with a plurality of other mechanical resonating structures, and wherein the method further comprises: measuring the operational profile of at least one of the plurality of other mechanical resonating structures;determining an approximation of a measure of the operational profile of the plurality of other mechanical resonating structures from a statistical analysis of at least one of the measured operational profile of the mechanical resonating structure, the measured operational profile of the at least one other mechanical resonating structure, and a history of measured operational profiles of mechanical resonating structures on other wafers; andadjust the operational profile of at least a portion of the mechanical resonating structures constructed on the wafer according to the approximation. 13. The method of claim 12, further comprising performing a coarse tune adjustment of the operational profile of the portion of the mechanical resonating structures on the wafer according to the approximation. 14. The method of claim 12, further comprising performing a fine tune adjustment of the operational profile of the portion of the mechanical resonating structures constructed on the wafer according to the approximation. 15. The method of claim 1, comprising adjusting the operational profile of the mechanical resonating structure prior to or after removing the mechanical resonating structure from a wafer from which the mechanical resonating structure was constructed. 16. The method of claim 1, further comprising: stimulating the mechanical resonating structure;receiving a signal from the mechanical resonating structure responsive to the stimulation;measuring the operational profile of the mechanical resonating structure from the signal;comparing the measured operational profile to a desired operational profile;identifying from the comparison at least one divergent property between the measured operational profile and the desired operational profile; andadjusting the operational profile of the mechanical resonating structure according to the at least one divergent property. 17. The method of claim 16, wherein the mechanical resonating structure is stimulated by an electrical stimulation, an electro-mechanical stimulation, a mechanical stimulation, photonically induced stimulation, thermally induced stimulation, magnetically induced stimulation, or combinations thereof. 18. The method of claim 16, further comprising controlling an environment of the mechanical resonating structure while measuring the operational profile of the mechanical resonating structure, wherein the controlled environment controls at least one of temperature, humidity, pressure, contaminants, or combinations thereof, and wherein the operational profile is measured before, during or after the operational profile is adjusted. 19. The method of claim 1, wherein the active layer comprises a piezoelectric material, and wherein the first and third layers are formed of silicon dioxide, and wherein the second layer is formed of one of silicon, silicon carbide, sapphire, quartz, germanium, gallium arsenide, aluminum nitride, and diamond. 20. A method, comprising: obtaining a mechanical resonating structure comprising a compensating structure, wherein the compensating structure comprises one or more materials having an adaptive stiffness that reduces a variance in a resonating frequency of the mechanical resonating structure (f0);adjusting at least one of a value of f0 of the obtained mechanical resonating structure or a value of a temperature for which temperature coefficient of frequency of the obtained mechanical resonating structure is approximately zero (T0) by altering a thickness of at least one targetable material of the mechanical resonating structure, wherein the at least one targetable material comprises a first portion of a first material having a first thickness and a second portion of a second material having a second thickness, wherein the first and second materials differ, and wherein the obtained mechanical resonating structure is constructed according to a desired ratio of a first surface area of the first portion and a second surface area of the second portion to enable selective adjustment of at least one of the value of f0 or the value of T0;detecting that at least one of the value of f0, the value of T0, or a thickness of at least one material layer of the mechanical resonating structure is offset from desired values for f0, T0 and material layer thicknesses of the mechanical resonating structure; andadjusting according to the detected offset at least one of the value of f0 or the value of T0 to approximate at least one of the desired values of f0 or T0 by altering at least one of the first thickness of at least a portion of the first material or the second thickness of at least a portion of the second material. 21. The method of claim 20, wherein the mechanical resonating structure is constructed with a conductor configuration that causes a resonance mode of operation of the mechanical resonating structure to be influenced more by a lateral displacement of the mechanical resonating structure than by a displacement in thickness of the mechanical resonating structure. 22. The method of claim 21, wherein the conductor configuration comprises an interdigital transducer electrode configuration.