2020
DOI: 10.1016/j.mseb.2020.114620
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Evaluation of a thermoelectric material using duo-frequency impedance spectroscopy method

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Cited by 9 publications
(11 citation statements)
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“…It was difficult to quantitatively estimate the error of the zT using the phase angle θ (= tan −1 {Im[Z( f )]/Re[Z( f )]}). 19) Therefore, we focused on Re[Z( f )]. The frequency dependence of the impedance Re[Z( f )] in Fig.…”
mentioning
confidence: 99%
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“…It was difficult to quantitatively estimate the error of the zT using the phase angle θ (= tan −1 {Im[Z( f )]/Re[Z( f )]}). 19) Therefore, we focused on Re[Z( f )]. The frequency dependence of the impedance Re[Z( f )] in Fig.…”
mentioning
confidence: 99%
“…Additionally, the imaginary part of the impedance Im[Z( f )] was small, less than 40 μΩ (corresponding to 400 nV, comparable to the noise level), because the expected zT was significantly smaller than that of a conventional thermoelectric material. It was difficult to quantitatively estimate the error of the zT using the phase angle θ (= tan −1 {Im[Z( f )]/Re[Z( f )]}) 19…”
mentioning
confidence: 99%
“…Therefore, Re[ Z mea ( ω )] (∝ I ) increased marginally at 10 –3 Hz owing to Q P (= 6.9 mW) ~ Q J (= 4.8 mW) using the representative magnitude of S (= − 231 μV/K at 300 K) corresponding to BiTe standard material 24 . In addition, ϕ = tan −1 (Im[ Z mea ( ω )]/Re[ Z mea ( ω )]) helps identify the suitable frequency for determining Z mea ( ω → ∞) and Z mea ( ω → 0) because ω R2C is unknown 15 . Finally, using the IS method, the value of zT was clearly estimated as ( zT ) IS = 0.811 (= ( R ohm + R TE ) IS /( R ohm ) IS − 1 = 869.5 / 480.0 − 1).…”
Section: Resultsmentioning
confidence: 99%
“…ω TE is denoted as a function of thermal diffusivity ( α ) and L of the TE, ω TE ∝ α / L 2 , and typically approaches 1 rad/s owing to the small value of κ (∝ α ) of the TEs. Therefore, the angular frequency satisfying Z ( ω → 0) would approximately be of the order of 10 –2 –10 –4 rad/s, depending on L 12 , 15 . The theory and model of the IS method clearly demonstrates that the Harman method is one of the results obtained using Z ( ω → ∞) → R AC and Z ( ω → 0) → R DC from Eq.…”
Section: Introductionmentioning
confidence: 99%
“…2) A few methods using one sample have been proposed to estimate zT directly; the Harman and impedance spectroscopy (IS) methods are representative methods that employ this approach, wherein the Peltier heat Q P (= STI or STi ω , where I and i ω are the direct and alternating currents, respectively) is driven as a probe into the thermoelectric material with the current and can produce a temperature difference along the current direction. [3][4][5][6][7][8][9][10][11][12][13] Consequently, zT is estimated based on the Ohmic resistance and an additional resistance as a thermoelectric resistance, owing to the Peltier heat or temperature difference. Analyzing the model based on the non-steady-state heat equation, both methods are found to be identical in the time and frequency domains.…”
Section: Introductionmentioning
confidence: 99%