  We report frequency and dissipation scaling laws for doubly-clamped diamond
resonators. The device lengths range from 10 microns to 19 microns
corresponding to frequency and quality-factor ranges of 17 MHz to 66 MHz and
600 to 2400 respectively. We find that the resonance frequency scales as 1/L^2
confirming the validity of the thin-beam approximation. The dominant
dissipation comes from two sources; for the shorter beams, clamping loss is the
dominant dissipation mechanism; while for the longer beams, surface losses
provide a significant source of dissipation. We compare and contrast these
mechanisms with other dissipation mechanisms to describe the data.
