Experimental Implementation of Measurement of Specific Heat under Pressure. Phys 590B Sangki Hong
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1 Experimental Implementation of Measurement of Specific Heat under Pressure Phys 590B Sangki Hong
2 Methods: Specific Heat Measurement Relaxation AC modulation + sophisticated temperature control and fitting software + good for flat and thin samples with reasonable thermal conductivity - need to measure addenda (platform + grease) every time - need to calibrate heater and thermometer in magnetic field - need to shape your sample - vertical 3 He platform may oscillate in magnetic field - assembly is fragile - measurements take long time + Fast and accurate (relative measurement) + Good for small samples + Easy to put on rotator - Hard to get absolute values Presentation from Elena Gati (Phys 590B) Presentation from Sergey L. Bud ko (Phys 590B)
3 Methods: High pressure Presentation from Elena Gati (Phys 590B)
4 CeRh 2 Si 2 (piston pressure cell + thermal relaxation) - Two pairs of Alumel-chromel thermocouples (25 µmø) were spot-welded on each bases of the cylindrical polycrystals of the sample (3 mmø X 1.5 mm) - A film heater of 350Ω was attached to the base. - A piston-cylinder type pressure cell made of Be Cu alloy - Pressure medium: Fluorinert FC70 : FC77 = 1:1 mixture - The sample temperature variation from a reservoir (pressure cell) temperature was directly measured by the thermocouples. J. Phys. Soc. Jpn. Suppl. A, 2007, 76, 206 Physica B, 2005, , 172
5 CeRh 2 Si 2 (piston pressure cell + thermal relaxation) ΔT av (temperature variation) was fitted by the thermal relaxation equation, A = temperature difference between the reservoir and new-equilibrium sample-temperatures τ = relaxation time. C = J/Kmol for 35 K Physica B, 2005, , 172
6 CeRh 2 Si 2 (piston pressure cell + thermal relaxation) Heat capacity of Fluorinert Heat capacity of Fluorinert under any pressures, the curves fitted by an asymptote equation below. a, b and c = constants p = applied pressure C=αT+βT 3 C = specific heat T = absolute temperature α and β = constants J. Phys. Soc. Jpn. Suppl. A, 2007, 76, 206
7 CePd 2 Si 2 (piston pressure cell + AC modulation) High pressure by piston pressure cell - Non-magnetic WC piston - Ni-Cr-Al inner cylinder inserted into the Cu-Be outer sleeve. - Dimensions of cylinder: 62 mm (length), 25 mm (O.D), and 5 mm (I.D) - Pressure medium: Daphne oil AC calorimetric measurement - Sample size: 0.3 x 0.5 x 0.15 mm 3. - Heater: 20 µm Au wire - Thermocouple: 25µm Au/Au:Fe(0.07%) - Spot-welded directly to the sample. The pressures determined by measuring the temperature dependence of AC susceptibility for the superconducting transition of Sn. J. Phys. Soc. Jpn. Suppl. A, 2007, 76, 206 Physica B, 2003, 329, 1658
8 CePd 2 Si 2 (piston pressure cell + AC modulation) - AC current sample through 20 µm Au wire. - AC Joule heating power P generated into sample. - Frequency of P is proportion to 2ω. (ω is that of the current.) - P modulates the temperature of sample with same frequency 2ω. - Measured the temperature modulation with 25µm Au/Au:Fe(0.07%) thermocouple by Lock-in Amp. J. Phys. Soc. Jpn. Suppl. A, 2007, 76, 206 Presentation from Elena Gati (Phys 590B)
9 CePd 2 Si 2 (piston pressure cell + AC modulation) - If frequency too high, Joule heating power cannot not pass through the sample due to decoupling of sample from the thermocouple. - If frequency too low, Joule heating power fades away to the circumstance through wires and pressure medium. - suitable frequency range : 100 Hz to 1000 Hz. - Neel temperature shift to lower temperatures and broadened. - Anomaly almost disappears at 1.56 Gpa. J. Phys. Soc. Jpn. Suppl. A, 2007, 76, 206 Presentation from Elena Gati (Phys 590B)
10 EuFe 2 As 2 (cubic anvil cell + AC modulation) High pressure by a cubic anvil cell - Six tungsten carbide anvils. - Pressure calibration: measurements of resistive change of Bi and Te structural phase transitions at room temperature. - Pressure medium: Daphne Gasket: pyrophyllite - Pressure up to 8 GPa. AC calorimetric measurement - Sample size: 0.3 x 0.5 x 0.05 mm 3. - Heater: 20 µm Au wire - Thermocouple: 25µm Au/Au:Fe(0.07%) - Spot-welded directly to the sample. Chin. Phys. B, 2018, 27, Journal of Physics: Conference Series, 2010, 215,
11 EuFe 2 As 2 (cubic anvil cell + AC modulation) - Heater power P: frequency ω - Temperature modulation of sample at frequency 2ω by lock-in amplifier Hz and 800 Hz 211 Hz C ac = P/ωT ac - critical pressure of superconductivity (2.5 Gpa) - C ac exhibits double transition. - AF ordering of Eu 2+ moments still occurs in the superconducting phase. - The transition temperature corresponds to a jump in magnetization measurement. - Anomaly in C ac at 20 K: antiferromagnetic (AF) ordering of Eu 2+ moments. Anomaly shifts to higher temperatures with increasing pressure Journal of Physics: Conference Series, 2010, 215,
12 Thank you.
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