title: Volume dependence in Handel's model of quartz crystal resonator noise.
abstract: Although criticized by many, Handel's quantum model for 1/f noise remains the only model giving a quantitative estimation of the level of intrinsic 1/f noise in quartz crystal resonators that is compatible with the best experimental results. In this paper, we reconsider the volume dependence in this model. We first argue that an acoustic volume, representing the volume in which the vibration energy is trapped, should be used instead of the geometrical volume between the electrodes. Then, we show that because there is an implicit dependence of the quality factor of the resonator with its thickness, the net effect of Handel's formula is not an increase of noise proportionally to the thickness of the resonator, as could be naïvely expected, but a net decrease when thickness increases. Finally, we show that a plot of Q(4)Sy versus the acoustic volume, instead of the usual Sy plot, could be useful to compare the quality of acoustic resonators having very different resonance frequencies.
authors.forename: Fabrice
authors.initials: F
authors.lastname: Sthal
authors.forename: Michel
authors.initials: M
authors.lastname: Devel
authors.forename: Santunu
authors.initials: S
authors.lastname: Ghosh
authors.forename: Joël
authors.initials: J
authors.lastname: Imbaud
authors.forename: Gilles
authors.initials: G
authors.lastname: Cibiel
authors.forename: Roger
authors.initials: R
authors.lastname: Bourquin
mesh_terms: D003198:Computer Simulation; D017097:Electric Impedance; D055617:Micro-Electrical-Mechanical Systems / Q000295:instrumentation* / Q000379:methods*; D008956:Models, Chemical; D009991:Oscillometry / Q000379:methods*; D011791:Quartz / Q000737:chemistry*; D012542:Scattering, Radiation
chemical_list: D011791:Quartz