“…Some well-studied examples include clamping losses, thermoelastic damping, and damping from surrounding fluids [ 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 ]. Since dissipation ( Q -factor) is an important parameter in both fundamental and engineering aspects of miniaturized resonators [ 21 ], there have been attempts to control and enhance Q -factor, for example, via chemical surface treatment [ 22 ], external circuits [ 23 ] and parametric amplification [ 24 ]. The resonance frequency is determined by the geometry—e.g., cantilevered or torsional structures—and the linear dimensions of the device as well as the device material.…”