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Application of the equipartition theorem to the thermal excitation of quartz tuning forks
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) Power spectral density of a tuning fork at 143 K and 281 K due to the intrinsic thermal excitation. The area under the curves corresponds to the squared voltage output generated by the thermal deflection amplitude.

Image of FIG. 2.
FIG. 2.

(Color online) Temperature dependence of the tuning fork’s thermal amplitude Ath . The solid, blue line shows the linear behavior in as a result of the equipartition theorem. The dashed, red line shows the theoretical dependence according to Eq. (1) with no adjustable parameter.

Image of FIG. 3.
FIG. 3.

(Color online) Experimental and theoretical power spectral densities of a qPlus sensor at a microscope temperature of 4.4 K. The theoretical power spectral density is modeled by Lorentzian function with the experimental noise floor. Due to mechanical noise in the system, the experimental power spectral density results in an effective temperature of 32.5 K.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Application of the equipartition theorem to the thermal excitation of quartz tuning forks