A new facility for thermal conductivity measurements Filippo Martelli Univ. of Urbino and INFN Florence GWADW 2006 – 27/5-02/06 2006 – La Biodola.

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A new facility for thermal conductivity measurements Filippo Martelli Univ. of Urbino and INFN Florence GWADW 2006 – 27/5-02/ – La Biodola

GWADW of 16 Activities on thermal noise in Florence Modelling of thermal noise for Virgo optics and suspensions Measurements on crystalline silicon fibres Study of new materials for 3rd generation interferometric GW detectors (JRA3-STREGA collaboration)

GWADW of 16 Study of the thermo-mechanical properties of materials for 3 rd generation GW detectors Cryogenic facility Crystalline Silicon Samples Measurements concern Thermal conductivity Thermal expansion coefficient Q measurements (possible, but our set up is not optimized for this)

GWADW of 16 Thermoelastic properties Amplitude of thermoelastic peak Position (cylindrical sample) Knowledge of the thermoelastic peak is important for identification of the various contribution to the loss angle (study of bulk, surface, clamp….losses) Knowledge of thermal conductivity is crucial for suspensions to be used in cryogenic detectors (heat extraction)

GWADW of T (K) Th. conductivity (W/mK) Thermal conductivity of Si From Y.S. Touloukian, E.H. Buyco, “Thermo-physical properties of matter”, Plenum, NY, 1970

GWADW of 16 The cryostat 30 cm A.S. Scientific cryostat Experimental volume: about 14 dm 3 Inner cold shield Outer cold shield Optical windows Inner tank Liquid He Outer tank Liquid N 2 Vacuum chamber Experimental chamber

GWADW of 16 Thermal conductivity measurement INSULATOR BOX HEATER COPPER BOX CLAMP SAMPLE THERMOMETERS SAMPLE HEATER

GWADW of 16 Evaluation of the power loss Heat loss is due mainly to radiation (small contribution by wire conduction) INSULATOR BOX HEATER COPPER BOX CLAMP SAMPLE THERMOMETERS SAMPLE HEATER 1mW of heating power From the heating-cooling cycle at room T Conductive losses through wires are negligible (0.1 % of radiative losses at room temperature) we evaluate the unknown parameter in radiative losses

GWADW of 16 Power loss estimation

GWADW of 16 Power loss estimation

GWADW of 16 Results

GWADW of 16 Thermal expansion measurement facility No hope with a simple Michelson ! Simple Fabry-Perot cavity Problems from frequency stability ! if L=10 cm

GWADW of 16 Thermal expansion measurement facility

GWADW of 16 Measuring cavity Sample Mirrors Fixed clamp Mobile clamp Laser Very soft elastic blades

GWADW of 16 The reference cavity Vacuum chamber hosting reference cavity Heating wires for RC temperature control Mirror Reference material: zerodur Piezo actuator Elastic Cu/Be blades 1 h 1 K Result of the temperature stabilization (Matteo Lorenzini) T fluctuations must stay below 0.01 K We now have a few mK stability

GWADW of 16 Conclusions We have a facility for direct measurements of thermal conductivity in samples shorter than 20 cm from 4 K up to room temperature First measurements on a Si sample down to 40 K show that the instrument is properly working (we need a better calibration) The setup for LHe should still be optimized We are studying the possibility of measuring the thermal expansion coefficient as well