LC -circuit calorimetry

We present a new type of calorimeter in which we couple an unknown heat capacity with the aid of Peltier elements to an electrical circuit. The use of an electrical inductance and an amplifier in the circuit allows us to achieve autonomous oscillations, and the measurement of the corresponding reson...

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Veröffentlicht in:Review of scientific instruments 2011-09, Vol.82 (9), p.094901-094901-5
Hauptverfasser: Bossen, O., Schilling, A.
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container_title Review of scientific instruments
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creator Bossen, O.
Schilling, A.
description We present a new type of calorimeter in which we couple an unknown heat capacity with the aid of Peltier elements to an electrical circuit. The use of an electrical inductance and an amplifier in the circuit allows us to achieve autonomous oscillations, and the measurement of the corresponding resonance frequency makes it possible to accurately measure the heat capacity with an intrinsic statistical uncertainty that decreases as \documentclass[12pt]{minimal}\begin{document}$ \sim t_\mathrm{m}^{ -3/2}$\end{document} ∼ t m − 3 / 2 with measuring time t m , as opposed to a corresponding uncertainty \documentclass[12pt]{minimal}\begin{document}$\sim t_\mathrm{m}^{-1/2}$\end{document} ∼ t m − 1 / 2 in the conventional alternating current method to measure heat capacities. We have built a demonstration experiment to show the feasibility of the new technique, and we have tested it on a gadolinium sample at its transition to the ferromagnetic state.
doi_str_mv 10.1063/1.3632116
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subjects AMPLIFIERS
CALORIMETERS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELECTRONIC CIRCUITS
FREQUENCY MEASUREMENT
GADOLINIUM
INDUCTANCE
INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
OSCILLATIONS
RESONANCE
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
title LC -circuit calorimetry
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