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The deflection signal of a thermally excited force sensor of an atomic forcemicroscope can be analyzed to gain important information about the detectornoise and about the validity of the equipartion theorem of thermodynamics.Here, we measured the temperature dependence of the thermal amplitude of atuning fork and compared it to the expected values based on the equipartitiontheorem. In doing so, we prove the validity of these assumptions in thetemperature range from 140K to 300K. Furthermore, the application of theequipartition theorem to quartz tuning forks at liquid helium temperatures isdiscussed.

Application of the equipartition theorem to the thermal excitation of quartz tuning forks