Abstract
Thermoelectricity refers to the conversion of thermal energy into electrical energy and vice versa, which relies on three main effects: Seebeck, Peltier and Thomson, all of which are manifestations of heat and electricity flow. In this work, we investigate the deposition of nanometric films and the effect of a thermal treatment on their thermoelectric properties. The films are based on BiSbTe ternary alloys, obtained by deposition on a substrate using the DC sputtering technique. We produced sputtering targets with repurposed materials from commercial thermoelectric modules. In this way, we explore an environmentally responsible destination for discarded devices, with in situ preparation and manufacture of film-based thermoelectric modules. Film samples show an improvement trend in thermoelectric efficiency as the annealing temperature is increased in the range 423–623 K. The experimental data regarding thermal conductivity, electrical resistivity (or electrical conductivity), and the Seebeck coefficient were analyzed with the theory of q-deformed algebra. Applying a q-deformation to our system, we can model the effect of the annealing temperature on the thermal and electrical conductivities, as well as the Seebeck coefficient, and argue that the q-factor must be related to structural properties of the films. We believe that our work could pave the way for future developments in the modeling of experimental measurements via the formalism of q-deformation algebra.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
de Groot SR (1952) Thermodynamics of irreversible processes. N. Holland Publishing Co., Amsterdam
Rowe DM, Bhandari CM (1983) Modem thermoelectrics, Holt Technology
Cooke-Yarborough EH, Yeats FW (1975) Efficient thermo-mechanical generation of electricity from the heat of radioisotopes. In: Proceedings of Xth IECEC, 1033
Huang B, Kaviany M (2010) Filler-reduced phonon conductivity of thermoelectric skutterudites: ab initio calculations and molecular dynamics simulations. Acta Mater 58:4516–4526
Kim MY, Oh TS (2009) Electrodeposition and thermoelectric characteristics of \({\text{ Bi }}_2{\text{ Te }}_3\) and \({\text{ Sb }}_2{\text{ Te }}_3\) films for thermopile sensor applications. J Electron Mater 38:1176–1181
Harman TC et al (2002) Quantum dot superlattice thermoelectric materials and devices. Science 297:2229–2232
Venkatasubramanian R et al (2001) Thin-film thermoelectric devices with high room-temperature figures of merit. Nature 413:597–602
Harman TC et al (2002) Nanostructured thermoelectric materials. J Eletron Mater 34:L19–L22
Shakouri A (2006) Nanoscale thermal transport and microrefrigerators on a chip. Proc IEEE 94:1613–1638
Gross AJ (2010) Low power, integrated, thermoelectric micro-coolers for microsystems applications. University of Michigan, Ph.D. dissertation
Vining CB et al (1991) A model for the high-temperature transport properties of heavily doped n-type silicon–germanium alloys. J Appl Phys 69:331–340
Fano V (1994) CRC handbook of thermoelectrics. In: Rowe DM (ed) CRC Press, Boca Raton, p 257
Cope RG, Penn AW (1968) The powder metallurgy of n-type \({\text{ Bi }}_2{\text{Te}}_{2.55}{\text{Se}}_{0.45}\) thermoelectric material. J. Mater. Sci. 3:103–109. https://doi.org/10.1007/BF00585476
Felix IM, Pereira LFC (2018) Thermal conductivity of graphene-hBN superlattice ribbons. Sci Rep 8:2737
Takashiri M et al (2008) Structural and thermoelectric properties of fine-grained \({\text{Bi}}_{0.4}{\text{Te}}_{3.0}{\text{Sb}}_{1.6}\) thin films with orientation deposited by flash evaporation method. Thin Solid Films 516:6336–6343
German RM (1998) Powder metallurgy of iron and steel. Wiley, New York
Bouville F, Studart AR (2017) Geologically-inspired strong bulk ceramics made with water at room temperature. Nat Commun 8:14655
Dughaish ZH (2002) Lead telluride as a thermoelectric material for thermoelectric power generation. Physica B Cond Mater 322:205–223
Goldsmid HJ (2014) Bismuth telluride and its alloys as materials for thermoelectric generation. Materials 7:2577–2592
Kim H et al (2012) Effects of \({\text{ Bi }}_2{\text{ Se }}_3\) nanoparticle inclusions on the microstructure and thermoelectric properties of \({\text{ Bi }}_2{\text{ Te }}_3\)-based nanocomposites. J Electron Mater 41:3411–3416
Muller E et al (1996) Determination of the thermal band gap from the change of the Seebeck coefficient at the pn-transition in \({\text{ Bi }}_{0.5}{\text{ Sb }}_{1.5}{\text{ Te }}_3\). In: Proceedings of the IEEE, Pasadena CA USA, pp 26–29
Goldsmid HJ et al (1988) High-Tc superconductors as passive thermo-elements. J Phys D 21:344–348
Hicks LD, Dresselhaus MS (1993) Effect of quantum-well structures on the thermoelectric figure of merit. Phys Rev B 47:12727–12731
Gentile G (1940) Osservazioni sopra le statistiche intermedie. Nuovo Cimento 17:493–497
Green HS (1953) A generalized method of field quantization. Phys Rev 90:270–273
Polychronakos AP (1996) Probabilities and path-integral realization of exclusion statistics. Phys Lett B 365:202–206
Biedenharn LC (1989) The quantum group \(SU_{q}(2)\) and a q-analogue of the boson operators. J Phys A Math Gen 22:L873–L878
Macfarlane A (1989) On q-analogues of the quantum harmonic oscillator and the quantum group \(SU(2)_q\). J Phys A Math Gen 22:4581
Pharthasarathy R, Viswanathan KS (1991) A q-analogue of the supersymmetric oscillator and its q-superalgebra. J Phys A Math Gen 24:613–617
Chaichian M, Gonzales Felipe R, Montonen C (1993) Statistics of q-oscillators, quons and relations to fractional statistics. J Phys A Math Gen 26:4017–4033
Fuchs J (1992) Affine Lie algebras and quantum groups. Cambridge University Press, Cambridge
Gavrilik AM, Rebesh AP (2012) Deformed gas of \(p,q\)-bosons: virial expansion and virial coefficients. Mod Phys Lett B 26:1150030
Lavagno A, Swamy PN (2000) Thermostatistics of a q-deformed boson gas. Phys Rev E 61:1218–1226
Lavagno A, Swamy PN (2002) Generalized thermodynamics of q-deformed bosons and fermions. Phys Rev E 65:036101
Hatami N, Setare MR (2016) The q-deformed Dirac oscillator in \(2+1\) dimensions. Phys Lett A 380:3469–3472
Algin A, Senay M (2016) General thermostatistical properties of a q-deformed fermion gas in two dimensions. J Phys Conf Ser 766:012008
Algin A, Senay M (2016) Fermionic q-deformation and its connection to thermal effective mass of a quasiparticle. Physica A 447:232–246
Algin A, Arikan AS (2017) Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model. J Stat Mech Theory Exp P043105
Chung WS, Algin A (2017) Duality of boson and fermion: new intermediate-statistics. Phys Lett A 381:3266–3271
Algin A, Olkun A (2017) Bose–Einstein condensation in low dimensional systems with deformed bosons. Ann Phys 383:239–256
Hoyuelos M (2018) From creation and annihilation operators to statistics. Physica A 490:944–952
Gavrilik AM et al (2018) Condensate of \(\mu \)-Bose gas as a model of dark matter. Physica A 506:835–843
Tsallis C (1988) Possible generalization of Boltzmann–Gibbs statistics. J Stat Phys 52:479–487
Plastino AR et al (2014) Stationary and uniformly accelerated states in nonlinear quantum mechanics. Phys Rev A 90:062134
Brito S, da Silva LR, Tsallis C (2016) Role of dimensionality in complex networks. Nat Sci Rep 6:27992
Ourabah K, Tribeche M (2014) Planck radiation law and Einstein coefficients reexamined in Kaniadakis \(\kappa \) statistics. Phys Rev E 89:062130
Mohammadzadeh H, Adli F, Nouri S (2016) Pertubative thermodynamic geometry of nonextensive ideal classical, Bose, and Fermi gases. Phys Rev E 94:062118
Rovenchak A (2018) Ideal Bose-gas in nonadditive statistics. Low Temp Phys 44:1025–1031
Adli F et al (2019) Condensation of nonextensive ideal Bose gas and critical exponents. Physica A 521:773–780
Chung WS, Gavrilik AM, Nazarenko AV (2019) Photon gas at the Planck scale within the doubly special relativity. Physica A 533:121928
Ernst T The History of \(q\)-calculus and a new method. (Dep. Math., Uppsala Univ. 1999–2000)
Floratos EG (1991) The many-body problem for q-oscillators. J Phys Math 24:4739
Patthria RK (1972) Statistical mechanics. Pergamon Press, Oxford
Reif F (1965) Fundamentals of statistical and thermal physics, Tokyo
Huang K (1987) Statistical mechanics. Wiley, New York
Kittel C (1996) Introduction to solid state physics. Wiley, New York
Ziman JM (1960) Electron and phonons: the theory of transport phenomena in solids. Oxford University Press, Oxford
Bourgault D et al (2008) Thermoelectric properties of n-type \({\text{ Bi }}_2{\text{ Te }}_{2.7}{\text{ Se }}_{0.3}\) and p-type \({\text{ Bi }}_{0.5}{\text{ Sb }}_{1.5}{\text{ Te }}_{3}\) thin films deposited by direct current magnetron sputtering. Thin Solid Films 516: 8579–8583
Huang H et al (2009) Influence of annealing on thermoelectric properties of bismuth telluride films grown via radio frequency magnetron sputtering. Thin Solid Films 517:3731–3734
Marinho AA, Brito FA, Chesman C (2012) Thermal properties of a solid through q-deformed algebra. Physica A 391:3424–3434
Tristant D, Brito FA (2014) Some electronic properties of metals through q-deformed algebras. Physica A 407:276–286
Marinho AA, Brito FA, Chesman C (2014) Application of Fibonacci oscillators in the Debye model. J Phys Conf Ser 568:012009
Marinho AA, Brito FA, Chesman C (2016) Thermal and electrical properties of a solid through Fibonacci oscillators. Physica A 443:324–332
Acknowledgments
We would like to thank CAPES, CNPq (Grants 309961/2017-3, 436859/2018-1, 312104/2018-9) and PNPD/PROCAD-CAPES, for financial support.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Marinho, A.A., Costa, N.P., Pereira, L.F.C. et al. Thermoelectric properties of BiSbTe alloy nanofilms produced by DC sputtering: experiments and modeling. J Mater Sci 55, 2429–2438 (2020). https://doi.org/10.1007/s10853-019-04188-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10853-019-04188-y