第五章 總結與未來工作
5.2 未來工作
5.2.2 以 3 omega 方法量測薄膜之賽貝克因子
probe(圖 5.2 中紅色部分,圖中之黃色為 contact pad)介於此超晶格薄膜與金 屬層間,其與另一個於基材底部之 voltage probe 一起用以量測垂直方向穿
準確得知熱電材料垂直平面方向的ZT值。
圖 5.2 量測賽貝克因子之系統示意圖[44]
1w heat source
Substrate
TE film V2w
insulator insulator voltage probe
參考文獻
[1] R.E. Smalley, Future global energy prosperity: The terawatt challenge, MRS BULLETIN, 30 (2005) 412-417.
[2] G. Chen, M.S. Dresselhaus, G. Dresselhaus, J.P. Fleurial, T. Caillat, Recent developments in thermoelectric materials, International Materials Reviews, 48(1) (2003) 45-66.
[3] M.S. Dresselhaus, G. Chen, M.Y. Tang, R.G. Yang, H. Lee, D.Z. Wang, Z.F.
Ren, J.P. Fleurial, P. Gogna, New Directions for Low-Dimensional Thermoelectric Materials, Advanced Materials, 19(8) (2007) 1043-1053.
[4] A. Majumdar, Materials science. Thermoelectricity in semiconductor nanostructures, Science, 303(5659) (2004) 777-778.
[5] T.M. Tritt, Thermoelectric Phenomena, Materials, and Applications, Annual Review of Materials Research, 41(1) (2011) 433-448.
[6] Z.H. Dughaish, Lead telluride as a thermoelectric material for
thermoelectric power generation, Physica B: Condensed Matter, 322(1-2) (2002) 205-223.
[7] A.D. LaLonde, Y. Pei, H. Wang, G. Jeffrey Snyder, Lead telluride alloy thermoelectrics, Materials Today, 14(11) (2011) 526-532.
[8] K.F. Hsu, S. Loo, F. Guo, W. Chen, J.S. Dyck, C. Uher, T. Hogan, E.K.
Polychroniadis, M.G. Kanatzidis, Cubic AgPb(m)SbTe(2+m): bulk thermoelectric materials with high figure of merit, Science, 303(5659) (2004) 818-821.
[9] J.O.S. G. D. Mahan The best thermoelectric, Proceedings of the National Academy of Sciences of the United States of America, 93 (1996) 7436.
[10] L. Hicks, M. Dresselhaus, Effect of quantum-well structures on the thermoelectric figure of merit, Physical Review B, 47(19) (1993) 12727-12731.
[11] L. Hicks, M. Dresselhaus, Thermoelectric figure of merit of a
one-dimensional conductor, Physical Review B, 47(24) (1993) 16631-16634.
[12] J.P. Heremans, V. Jovovic, E.S. Toberer, A. Saramat, K. Kurosaki, A.
Charoenphakdee, S. Yamanaka, G.J. Snyder, Enhancement of thermoelectric efficiency in PbTe by distortion of the electronic density of states, Science, 321(5888) (2008) 554-557.
[13] D. Li, Y. Wu, P. Kim, L. Shi, P. Yang, A. Majumdar, Thermal conductivity of individual silicon nanowires, Applied Physics Letters, 83(14) (2003) 2934.
[14] A.I. Hochbaum, R. Chen, R.D. Delgado, W. Liang, E.C. Garnett, M. Najarian, A. Majumdar, P. Yang, Enhanced thermoelectric performance of rough silicon nanowires, Nature, 451(7175) (2008) 163-167.
[15] J.W. Roh, S.Y. Jang, J. Kang, S. Lee, J.-S. Noh, W. Kim, J. Park, W. Lee,
Size-dependent thermal conductivity of individual single-crystalline PbTe nanowires, Applied Physics Letters, 96(10) (2010) 103101.
[16] E.S. Rama Venkatasubramanian, Thomas Colpitts & Brooks O'Quinn, Thin-film thermoelectric devices with high room-temperature figures of merit, Nature, 413 (2001) 597.
[17] S.T. Huxtable, A.R. Abramson, C.-L. Tien, A. Majumdar, C. LaBounty, X. Fan, G. Zeng, J.E. Bowers, A. Shakouri, E.T. Croke, Thermal conductivity of Si/SiGe and SiGe/SiGe superlattices, Applied Physics Letters, 80(10) (2002) 1737.
[18] B. Poudel, Q. Hao, Y. Ma, Y. Lan, A. Minnich, B. Yu, X. Yan, D. Wang, A.
Muto, D. Vashaee, X. Chen, J. Liu, M.S. Dresselhaus, G. Chen, Z. Ren,
High-thermoelectric performance of nanostructured bismuth antimony telluride bulk alloys, Science, 320(5876) (2008) 634-638.
[19] J.R. Sootsman, H. Kong, C. Uher, J.J. D'Angelo, C.I. Wu, T.P. Hogan, T.
Caillat, M.G. Kanatzidis, Large enhancements in the thermoelectric power factor of bulk PbTe at high temperature by synergistic nanostructuring, Angewandte Chemie, 47(45) (2008) 8618-8622.
[20] Y.Q. Cao, T.J. Zhu, X.B. Zhao, Low thermal conductivity and improved figure of merit in fine-grained binary PbTe thermoelectric alloys, Journal of Physics D: Applied Physics, 42(1) (2009) 015406.
[21] K. Kishimoto, T. Koyanagi, Preparation of sintered degenerate n-type PbTe with a small grain size and its thermoelectric properties, Journal of Applied Physics, 92(5) (2002) 2544.
[22] T.C. Harman, P.J. Taylor, M.P. Walsh, B.E. LaForge, Quantum dot superlattice thermoelectric materials and devices, Science, 297(5590) (2002) 2229-2232.
[23] W. Kim, J. Zide, A. Gossard, D. Klenov, S. Stemmer, A. Shakouri, A. Majumdar, Thermal Conductivity Reduction and Thermoelectric Figure of Merit Increase by Embedding Nanoparticles in Crystalline Semiconductors, Physical Review Letters, 96(4) (2006).
[24] T.H. Y Nishio, Improvement of the efficiency of thermoelectric energy conversion by utilizing potential barriers, Japanese Journal of Applied Physics, 36 (1997) 170-174.
[25] D. Vashaee, A. Shakouri, Improved Thermoelectric Power Factor in Metal-Based Superlattices, Physical Review Letters, 92(10) (2004).
[26] X.H. Yang, X.Y. Qin, Giant scattering parameter and enhanced thermoelectric properties originating from synergetic scattering of electrons in
semiconductors with metal nanoinclusions, Applied Physics Letters, 97(19) (2010) 192101.
[27] J. Zide, D. Vashaee, Z. Bian, G. Zeng, J. Bowers, A. Shakouri, A. Gossard,
Demonstration of electron filtering to increase the Seebeck coefficient in In0.53Ga0.47As∕In0.53Ga0.28Al0.19As superlattices, Physical Review B, 74(20) (2006).
[28] J. Martin, L. Wang, L. Chen, G. Nolas, Enhanced Seebeck coefficient through energy-barrier scattering in PbTe nanocomposites, Physical Review B, 79(11) (2009).
[29] B. Paul, A.K. V, P. Banerji, Embedded Ag-rich nanodots in PbTe: Enhancement of thermoelectric properties through energy filtering of the carriers, Journal of Applied Physics, 108(6) (2010) 064322.
[30] D.K. Ko, Y. Kang, C.B. Murray, Enhanced thermopower via carrier energy filtering in solution-processable Pt-Sb2Te3 nanocomposites, Nano letters, 11(7) (2011) 2841-2844.
[31] M.S.D. Joseph P. Heremans, Lon E. Bell and Donald T. Morelli, When thermoelectrics reached the nanoscale, NATURE NANOTECHNOLOGY, 8 (2013) 471-473.
[32] T.J. Seebeck, Magnetische polarization der metalle und erzedurch temperature-differenze. Abhand deut, Akad. Wiss. Berlin, (1821) 265-373.
[33] D.M. Rowe, Thermoelectrics Handbook - Macro to Nano, Taylor and Francis Group: Boca Raton, 2006.
[34] G. Chen, Nanoscale Energy Transport and Conversion, Oxford: New York, 2005.
[35] D.G. Cahill, Thermal conductivity measurement from 30 to 750 K: the 3ω method, Review of Scientific Instruments, 61(2) (1990) 802.
[36] D. Cahill, M. Katiyar, J. Abelson, Thermal conductivity of a-Si:H thin films, Physical Review B, 50(9) (1994) 6077-6081.
[37] S.M. Lee, D.G. Cahill, Heat transport in thin dielectric films, Journal of Applied Physics, 81(6) (1997) 2590.
[38] R.J.P. Joseph R. Sootsman, Huijun Kong,, a.M.G.K. Ctirad Uher, Strong Reduction of Thermal Conductivity in
Nanostructured PbTe Prepared by Matrix
Encapsulation, Chemistry of Materials, 18 (2006) 4993-4995.
[39] D. Greig, Thermoelectricity and Thermal Conductivity in the Lead Sulfide Group of Semiconductors, Physical Review, 120(2) (1960) 358-365.
[40] D. Cahill, S. Watson, R. Pohl, Lower limit to the thermal conductivity of disordered crystals, Physical Review B, 46(10) (1992) 6131-6140.
[41] A.S.M. O B Maksimenko, The nature of the phonon dispersion relation anomalies of
IV–VI compounds, Journal of Physics: Condensed Matter 9(1997) 5561-5574.
[42] R.C. Zeller, R.O. Pohl, Thermal Conductivity and Specific Heat of Noncrystalline Solids, Physical Review B, 4(6) (1971) 2029-2041.
[43] K. Kishimoto, M. Tsukamoto, T. Koyanagi, Temperature dependence of the Seebeck coefficient and the potential barrier scattering of n-type PbTe films prepared on heated glass substrates by rf sputtering, Journal of Applied Physics, 92(9) (2002) 5331.
[44] B. Yang, J.L. Liu, K.L. Wang, G. Chen, Simultaneous measurements of Seebeck coefficient and thermal conductivity across superlattice, Applied Physics Letters, 80(10) (2002) 1758.
[45] W.G.S. H.W. Coleman, Experimentation and uncertainty analysis for engineers, Wiley, Wiley, New York, 1989.
附錄 A:誤差分析
頻率為 995.5Hz 之 V3ω值來進行分析,各參數如表 A.1 所示。 Digital Multimeter)量測阻值之量測誤差(該儀器之精準度為 0.01%,測得外 接電阻值為 34.0942Ω)所造成;所使用的電阻其溫度係數為 20ppm/K,假設 量測過程中室內溫度變化為 0.5K,則室內溫度變化所造成之誤差為 0.001%,
因此
R
out 約為 0.01%,因此將上述資料搭配表 A.1 代入式(A.7)分別求得待測樣品與參考樣品之加熱線電阻的誤差 0
附錄 B:量測數據
在 4.1 節實驗數據分析技巧當中,已附上厚度為 680nm sample1(圖 4.2)之實 驗量測數據之
V
3ω對頻率作圖,以下為其餘八組實驗數據之V
3ω訊號對頻率 作圖,其中實心的方塊為待測元件的V
3ω,total訊號,空心方塊為參考元件的3ω,sub
V
訊號。量測溫度標於圖的右上角。厚度 280 nm sample1(計算時,所取頻率範圍為 100-1000Hz):
圖 B.1 厚度 280 nm 之碲化鉛薄膜 sample1 量測數據
厚度 280 nm sample2(計算時,所取頻率範圍為 100-2000Hz):
圖 B.2 厚度 280 nm 之碲化鉛薄膜 sample2 量測數據
厚度 280 nm sample3(計算時,所取頻率範圍為 100-2000Hz):
圖 B.3 厚度 280 nm 之碲化鉛薄膜 sample3 量測數據
厚度 460 nm sample1(計算時,所取頻率範圍為 200-2000Hz):
圖 B.4 厚度 460 nm 之碲化鉛薄膜 sample1 量測數據
厚度 460 nm sample2(計算時,所取頻率範圍為 200-2000Hz):
圖 B.5 厚度 460 nm 之碲化鉛薄膜 sample2 量測數據
厚度 460 nm sample3(計算時,所取頻率範圍為 200-2000Hz):
圖 B.6 厚度 460 nm 之碲化鉛薄膜 sample3 量測數據
厚度 680 nm sample2(計算時,所取頻率範圍為 100-1000Hz):
圖 B.7 厚度 680 nm 之碲化鉛薄膜 sample2 量測數據
厚度 680 nm sample3(計算時,所取頻率範圍為 100-1000Hz) :
圖 B.8 厚度 680 nm 之碲化鉛薄膜 sample3 量測數據