Abstract
Magnesium silicide (Mg2Si)-based materials are promising candidates as thermoelectric components for mid-temperature range (500–900 K) energy conversion. Many different approaches for determining the parabolicity of the conduction band have been suggested in the literature, while the values of the effective mass m* dL reported, lie between 0.46 and 1.1 m0. The aim of this work is to contribute in elucidating the discrepancy observed in the effective mass values of the lower conduction band of highly doped Mg2Si and examine whether this discrepancy could be attributed to the method of determination or to the sample’s characteristics. We present the results of effective mass calculations at room temperature (RT) by applying different experimental methods and models (parabolic and non-parabolic) in two different groups of samples; one yielding profound inhomogeneities (Sb-doped) and one yielding homogeneous (Bi-doped) samples. Concluding this analysis, it seems that the lower conduction band of Mg2Si is more likely described as non-parabolic. Comparing the two groups of samples, our analysis indicated that the effective mass may be significantly underestimated for samples with dopant and content-modulated composition.
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V.K. Zaitsev, M.I. Fedorov, E.A. Gurieva, I.S. Eremin, P.P. Konstantinov, A. Yu Samunin, and M.V. Vedernikov, Phys. Rev. B 74, 045207 (2006).
H.J. Lee, Y.R. Cho, and I.-H. Kim, J. Ceram. Process. Res 12, 16 (2011).
M. Akasaka, T. Iida, A. Matsumoto, K. Yamanaka, Y. Takanashi, T. Imai, and N. Hamada, J. Appl. Phys. 104, 013703 (2008).
M. Ioannou, G.S. Polymeris, E. Hatzikraniotis, A.U. Khan, K.M. Paraskevopoulos, and Th. Kyratsi, J. Electron. Mater. 42, 1827 (2013).
M. Ioannou, G.S. Polymeris, E. Hatzikraniotis, K.M. Paraskevopoulos, and Th. Kyratsi, J. Phys. Chem. Solids 75, 984 (2014).
J.-I. Tani and H. Kido, Physica B 364, 218 (2005).
P. Koenig, D.W. Lynch, and G.C. Danielson, J. Phys. Chem. Solids 20, 122 (1961).
R.G. Morris, R.D. Redin, and G.C. Danielson, Phys. Rev. 109, 1909 (1958).
M.Y. Au-Yang and M.L. Cohen, Phys. Rev. 178, 1358 (1969).
C.B. Vining and D.M. Rowe, Handbook of Thermoelectrics (New York: CRC, 1995).
F. Aymerich and G. Mula, Phys. Status Solidi B 42, 697 (1970).
N. Satyala and D. Vashaee, J. Electron. Mater. 41, 1785 (2012).
D. Stathokostopoulos, E.C. Stefanaki, M. Ioannou, G.S. Polymeris, D. Chaliampalias, E. Pavlidou, Th. Kyratsi, K.M. Paraskevopoulos, G. Vourlias, and E. Hatzikraniotis, Phys. Status Solidi A 211, 1308 (2014).
V.K. Zaitsev, E.N. Nikitin, and E.N. Tkalenko, Sov. Phys. Solid State 11, 3000 (1969).
S.K. Bux, M.T. Yeung, E.S. Toberer, G.J. Snyder, R.B. Kaner, and J.P. Fleurial, J. Mater. Chem. 21, 12259 (2011).
M.W. Heller and G.C. Danielson, J. Phys. Chem. Solids 23, 601 (1962).
G.S. Nolas, D. Wang, and M. Beekman, Phys. Rev. B 76, 235204 (2007).
K. Kutorasinski, B. Wiendlocha, J. Tobola, and S. Kaprzyk, Phys. Rev. B 89, 115205 (2014).
L.-D. Zhao, V.P. Dravid, and M.G. Kanatzidis, Energy Environ. Sci. 7, 251 (2014).
G.S. Polymeris, E. Hatzikraniotis, E.C. Stefanaki, E. Pavlidou, T. Kyratsi, K.M. Paraskevopoulos, and M.G. Kanatzidis, MRS Online Proceedings Library, 1543, (2013). Doi: 10.1557/opl.2013.939
E.C. Stefanaki, G.S. Polymeris, P.M. Nikolic, Ch. Papageorgiou, E. Pavlidou, E. Hatzikraniotis, Th. Kyratsi, and K.M. Paraskevopoulos, J. Electron. Mater. 43, 3785 (2014).
W. Liu, X. Tang, H. Li, K. Yin, J. Sharp, X. Zhou, and C. Uher, J. Mater. Chem. 22, 13653 (2012).
A.U. Khan, N.V. Vlachos, E. Hatzikraniotis, G.S. Polymeris, Ch.B Lioutas, E.C. Stefanaki, K.M. Paraskevopoulos, I. Giapintzakis, and Th. Kyratsi, Acta Mater. 77, 43 (2014).
A.F. May, D.J. Singh, and G.J. Snyder, Phys. Rev. B 79, 153101 (2009).
A.F. May, E.S. Toberer, A. Saramat, and G.J. Snyder, Phys. Rev. B 80, 125205 (2009).
W. Liu, H. Chi, H. Sun, Q. Zhang, K. Yin, X. Tang, Q. Zhang, and C. Uher, Phys. Chem. Chem. Phys. 16, 6893 (2014).
E. Kane, J. Phys. Chem. Solids 1, 249 (1957).
I.U.I. Ravich, B.A. Efimova, and I.A. Smirnov, Semiconducting Lead Chalcogenides (New York: Plenum Press, 1970).
I.A. Smirnov and Yu.I. Ravich, Sov. Phys. Semicond. 1, 739 (1967).
M.K. Zhitinskaya, V.I. Kaidanov, and I.A. Chernik, Sov. Phys. Solid State 8, 246 (1966).
H. Wang, Y. Pei, A.D. LaLonde, and G.J. Snyder, Proc. Natl. Acad. Sci. 109, 9705 (2012).
J.J. Martin, J. Phys. Chem. Solids 33, 1139 (1972).
M.I. Baleva, M.H. Maksimov, and M.S. Sendova, J. Phys. C 20, 941 (1987).
V.K. Zaitsev, M.I. Fedorov, A.T. Burkov, E.A. Gurieva, I.S. Eremin, P.P. Konstantinov, S.V. Ordin, S. Sano, and M.V. Vedernikov, Proceedings ICT '02. Twenty-First International Conference on Thermoelectrics, 151 (2002)
S. Sharma and S.K. Pandey, Comput. Mater. Sci. 85, 340 (2014).
Y. Meijun, S. Qiang, T. Xinfeng, and H. Lianmeng, J. Chin. Ceram. Soc. 39, 1603 (2011).
J. Androulakis, D.Y. Chung, X. Su, L. Zhang, C. Uher, T. Hasapis, E. Hatzikraniotis, K.M. Paraskevopoulos, and M.G. Kanatzidis, Phys. Rev. B 84, 155207 (2011).
Z. Du, J. Cui, T. Zhu, and X. Zhao, Phys. Status Solidi A 210, 2359 (2013).
Q. Zhang, H. Yin, X.B. Zhao, J. He, X.H. Ji, T.J. Zhu, and T.M. Tritt, Phys. Status Solidi A 205, 1657 (2008).
W. Zawadzki, Adv. Phys. 23, 435 (1974).
R.F. Blunt, H.P.R. Frederikse, and W.R. Hosler, Phys. Rev. 100, 663 (1955).
R.J. Labotz and D.R. Mason, J. Electrochem. Soc. 110, 121 (1963).
Acknowledgements
This work was partially supported by the ThermoMag Project, which is co-funded by the European Commission in the 7th Framework Programme (contract NMP4-SL-2011-263207), by the European Space Agency and by the individual partner organizations.
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Stefanaki, E.C., Polymeris, G.S., Ioannou, M. et al. Inhomogeneities and Effective Mass in Doped Mg2Si. J. Electron. Mater. 45, 1900–1906 (2016). https://doi.org/10.1007/s11664-015-4277-4
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DOI: https://doi.org/10.1007/s11664-015-4277-4