Stiffness calibration of qPlus sensors at low temperature through thermal noise measurements

Laurent Nony, Sylvain Clair, Daniel Uehli, Aitziber Herrero, Jean-Marc Themlin, Andrea Campos, Franck Para, Alessandro Pioda and Christian Loppacher
Beilstein J. Nanotechnol. 2024, 15, 580–602. https://doi.org/10.3762/bjnano.15.50

Supporting Information

Supporting information features four files. File Supporting Information File 1 reminds the most salient results of the Euler–Bernoulli model and how it sustains the point-mass SHO equivalence. File Supporting Information File 2 reminds fundamental elements of signal processing applied to discrete time signals, among which the Power Spectral Density. File Supporting Information File 3 reminds the expression of the thermal noise PSD of a SHO in thermal equilibrium within a thermostat. The PSD of the stochastic thermal force giving rise to the fluctuations of the SHO is derived as well, which is used in the numerical simulations. File Supporting Information File 4 illustrates the influence of a digital antialiasing filter on the measured tn-PSD.

Supporting Information File 1: The Euler–Bernoulli model and the point-mass SHO equivalence
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Supporting Information File 2: Discrete Fourier transform and power spectral density of a discrete time signal
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Supporting Information File 3: Power Spectral densities of a SHO and of the thermal force – Probability density function of the thermal force
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Supporting Information File 4: Influence of a digital antialiasing filter on the measured tn-PSD
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Cite the Following Article

Stiffness calibration of qPlus sensors at low temperature through thermal noise measurements
Laurent Nony, Sylvain Clair, Daniel Uehli, Aitziber Herrero, Jean-Marc Themlin, Andrea Campos, Franck Para, Alessandro Pioda and Christian Loppacher
Beilstein J. Nanotechnol. 2024, 15, 580–602. https://doi.org/10.3762/bjnano.15.50

How to Cite

Nony, L.; Clair, S.; Uehli, D.; Herrero, A.; Themlin, J.-M.; Campos, A.; Para, F.; Pioda, A.; Loppacher, C. Beilstein J. Nanotechnol. 2024, 15, 580–602. doi:10.3762/bjnano.15.50

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