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Research Article Investigation of the Microstructural and Thermoelectric Properties of the (GeTe) 0.95 (Bi 2 Te 3 ) 0.05 Composition for Thermoelectric Power Generation Applications Lior Weintraub, 1 Joseph Davidow, 2 Jonathan Tunbridge, 3 Richard Dixon, 3 Michael John Reece, 4 Huanpo Ning, 4 Iรฑigo Agote, 5 and Yaniv Gelbstein 1,2 1 Unit of Energy Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel 2 Department of Materials Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel 3 Intrinsiq Materials Ltd., Cody Technology Park, Farnborough GU14OLX, UK 4 School of Engineering and Materials Science, Queen Mary, University of London, Mile End Road, London E1 4NS, UK 5 TECNALIA Research & Innovation, Mikeletegi Pasealekua, 2 20009 San Sebastian, Spain Correspondence should be addressed to Yaniv Gelbstein; [email protected] Received 12 June 2013; Accepted 5 December 2013; Published 19 January 2014 Academic Editor: Won-Seon Seo Copyright ยฉ 2014 Lior Weintraub et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In the frame of the current research, the -type Bi 2 Te 3 doped (GeTe) 0.95 (Bi 2 Te 3 ) 0.05 alloy composed of hot pressed consolidated submicron structured powder was investigated. e in๏ฌ‚uence of the process parameters (i.e., powder particles size and hot pressing conditions) on both reduction of the lattice thermal conductivity and electronic optimization is described in detail. Very high maximal ZT values of up to โˆผ1.6 were obtained and correlated to the microstructural characteristics. Based on the various involved mechanisms, a potential route for further enhancement of the ZT values of the investigated composition is proposed. 1. Introduction ermoelectrics as a direct energy conversion method between heat and electricity is mainly used for electrical power generation and cooling applications. Germanium telluride based alloys are known as appropriate candidates for -type legs in thermoelectric applications for the 50โ€“ 500 โˆ˜ C temperature range, exhibiting high dimensionless thermoelectric ๏ฌgure of merit ( = ( 2 )/(), where is the Seebeck coe๏ฌƒcient, is the electrical resistivity, is thermal conductivity, and is absolute temperature) values. GeTe based compounds are characterized by a continuous phase transition from a low temperature rhombohedral to a high temperature cubic rock salt structure that takes place at 427 โˆ˜ C in pure GeTe [1]. Germanium telluride based alloys are characterized by a large deviation from stoichiometry toward tellurium rich compositions. e main nonstoichiometric defects are doubly ionized metal vacancies. As a result of this deviation from stoichiometry, GeTe always exhibits -type conductiv- ity (โˆผ10 20 โ€“10 21 cm โˆ’3 )[2]. To reduce the hole concentration, in order to obtain optimal thermoelectric properties, it is necessary to dope GeTe with donor type electroactive impurities. Bi 2 Te 3 [3] and PbTe [4] act as donors while dissolved in GeTe. A mechanism of doping GeTe by Bi 2 Te 3 has been put forward by Gelbstein et al. [2], according to which the latter is implanted into the GeTe lattice in the form of complexes consisting of a single electroneutral cation vacancy per each Bi 2 Te 3 molecule implanted. e introduction of Bi 2 Te 3 into the GeTe lattice changes the cation-anion ratio and the vacancy formation is due to the requirement for charge equilibrium. e reduction of the hole concentration in GeTe a๏ฌ…er introducing Bi 2 Te 3 is associated with the ๏ฌlling of the cation vacancies by germanium atoms present in GeTe as a second phase. High thermoelectric performance was recently reported by PbTe alloying of GeTe Hindawi Publishing Corporation Journal of Nanomaterials Volume 2014, Article ID 284634, 7 pages http://dx.doi.org/10.1155/2014/284634

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  • Research ArticleInvestigation of the Microstructural and ThermoelectricProperties of the (GeTe)0.95(Bi2Te3)0.05 Compositionfor Thermoelectric Power Generation Applications

    Lior Weintraub,1 Joseph Davidow,2 Jonathan Tunbridge,3 Richard Dixon,3

    Michael John Reece,4 Huanpo Ning,4 Iรฑigo Agote,5 and Yaniv Gelbstein1,2

    1 Unit of Energy Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel2 Department of Materials Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel3 Intrinsiq Materials Ltd., Cody Technology Park, Farnborough GU14OLX, UK4 School of Engineering and Materials Science, Queen Mary, University of London, Mile End Road, London E1 4NS, UK5 TECNALIA Research & Innovation, Mikeletegi Pasealekua, 2 20009 San Sebastian, Spain

    Correspondence should be addressed to Yaniv Gelbstein; [email protected]

    Received 12 June 2013; Accepted 5 December 2013; Published 19 January 2014

    Academic Editor: Won-Seon Seo

    Copyright ยฉ 2014 Lior Weintraub et al.This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

    In the frame of the current research, the ๐‘-type Bi2Te3doped (GeTe)

    0.95(Bi2Te3)0.05

    alloy composed of hot pressed consolidatedsubmicron structured powder was investigated.The influence of the process parameters (i.e., powder particles size and hot pressingconditions) on both reduction of the lattice thermal conductivity and electronic optimization is described in detail. Very highmaximal ZT values of up to โˆผ1.6 were obtained and correlated to the microstructural characteristics. Based on the various involvedmechanisms, a potential route for further enhancement of the ZT values of the investigated composition is proposed.

    1. Introduction

    Thermoelectrics as a direct energy conversion methodbetween heat and electricity is mainly used for electricalpower generation and cooling applications. Germaniumtelluride based alloys are known as appropriate candidatesfor ๐‘-type legs in thermoelectric applications for the 50โ€“500โˆ˜C temperature range, exhibiting high dimensionlessthermoelectric figure of merit (๐‘๐‘‡ = (๐›ผ2๐‘‡)/(๐œŒ๐œ…), where ๐›ผis the Seebeck coefficient, ๐œŒ is the electrical resistivity, ๐œ… isthermal conductivity, and ๐‘‡ is absolute temperature) values.GeTe based compounds are characterized by a continuousphase transition from a low temperature rhombohedral to ahigh temperature cubic rock salt structure that takes place at427โˆ˜C in pure GeTe [1].

    Germanium telluride based alloys are characterizedby a large deviation from stoichiometry toward telluriumrich compositions. The main nonstoichiometric defects are

    doubly ionized metal vacancies. As a result of this deviationfrom stoichiometry, GeTe always exhibits ๐‘-type conductiv-ity (๐‘ โˆผ1020โ€“1021 cmโˆ’3) [2]. To reduce the hole concentration,in order to obtain optimal thermoelectric properties, itis necessary to dope GeTe with donor type electroactiveimpurities. Bi

    2Te3[3] and PbTe [4] act as donors while

    dissolved in GeTe. A mechanism of doping GeTe by Bi2Te3

    has been put forward by Gelbstein et al. [2], accordingto which the latter is implanted into the GeTe lattice inthe form of complexes consisting of a single electroneutralcation vacancy per each Bi

    2Te3molecule implanted. The

    introduction of Bi2Te3into the GeTe lattice changes the

    cation-anion ratio and the vacancy formation is due to therequirement for charge equilibrium.The reduction of the holeconcentration in GeTe after introducing Bi

    2Te3is associated

    with the filling of the cation vacancies by germanium atomspresent in GeTe as a second phase. High thermoelectricperformance was recently reported by PbTe alloying of GeTe

    Hindawi Publishing CorporationJournal of NanomaterialsVolume 2014, Article ID 284634, 7 pageshttp://dx.doi.org/10.1155/2014/284634

  • 2 Journal of Nanomaterials

    for obtaining quasi-binary (GeTe)๐‘ฅ(PbTe)

    1โˆ’๐‘ฅalloys that can

    be designed for achieving improved electronic properties andlower lattice thermal conductivities, as compared to PbTe andGeTe, separately, via phase separation reactions [5].

    The present communication is concerned with the pos-sibility of increasing the thermoelectric figure of merit of ๐‘-type Bi

    2Te3doped (GeTe)

    0.95(Bi2Te3)0.05

    alloy, by optimizingvarious powder metallurgy parameters (i.e., powder millingand hot pressing conditions) for obtaining both submicrofea-tures, resulting in reduced lattice thermal conductivity values,and optimal electronic doping. The combined effects on theresultant ZT values are discussed in detail.

    2. Experimental

    (GeTe)0.95

    (Bi2Te3)0.05

    was prepared by sealing the sourcematerials (purity of 5N) at appropriate concentrations in aquartz ampoule under a vacuum of 10โˆ’5 Torr and meltingin a rocking furnace at 850โˆ˜C for 1 hour followed by waterquenching. Various milling conditions of the cast ingot toa maximal powder particle size of 50 and 250 ๐œ‡m, usingagate mortar and pestle, and to smaller sized powder, usingenergetic ball milling (Fritsch-Pulverisette 7) at 700 RPM fol-lowing 10 and 20 cycles of 10 minutes each, were applied. The50 and 250 ๐œ‡m maximal sieved powder were subsequentlyhot pressed (HPW5 Hot Press FCT Systeme GmbH) undera mechanical pressure of 35MPa at 450โˆ˜C and 650โˆ˜C for 30minutes, resulting in high density values of โˆผ95 and โˆผ97% ofthe theoretical density, respectively.

    Seebeck coefficient (๐›ผ) and the electrical resistivity (๐œŒ)measurements were carried out in a self-constructed appa-ratus under an argon atmosphere up to โˆผ450โˆ˜C at a heatingrate of 3โˆ˜C/min. For the Seebeck coefficient measurements,an auxiliary heater was used tomaintain a temperature differ-ence of 10โˆ˜Cbetween the extremities of the samples. Electricalresistivity wasmeasured by the โ€œfour-probeโ€method using analternating power source of 1 V/50Hz.

    The thermal conductivity (๐œ…) was determined as a func-tion of temperature from room temperature to 500โˆ˜C usingthe flash diffusivitymethod (LFA457,Netzsch).The front faceof a disc-shaped sample (๐œ™ = 12mm, thickness โ‰ˆ 1-2mm) isirradiated by a short laser burst, and the resulting rear facetemperature is recorded and analyzed. Thermal conductivityvalues were calculated using the equation ๐œ… = ๐›พ โ‹…๐ถ

    ๐‘ƒโ‹… ๐›ฟ, where

    ๐›พ is the thermal diffusivity, ๐ถ๐‘ƒis the specific heat (measured

    using differential scanning calorimetry, STA 449, Netzsch),and ๐›ฟ is the bulk density of the sample (calculated fromthe sampleโ€™s geometry and its mass). The room temperature๐ถ๐‘ƒvalue for all of the investigated synthesis conditions was

    found to be equal to 0.23 ยฑ 0.01 J/grK.The structural characteristics of the various investigated

    powder conditions were analyzed by high resolution scan-ning electron microscopy (Jeol-7400F HRSEM), transmis-sion electron microscopy (TEM-FEI TECNAI-G2), and X-ray diffraction (Rigaku DMAX 2100 powder diffractome-ter). The mean size, ๐‘‘, of the apparent submicron crys-talline domains was obtained by applying Scherrer equation,

    ๐‘‘ = (๐พ๐œ†)/(๐œ” cos ๐œƒ), where ๐œ† represents the wavelength ofthe X-ray radiation, ๐œƒ is the angle of the considered Braggreflection, ๐œ” is the peaks width on a 2๐œƒ scale, and ๐พ is aconstant close to unity, to the experimental X-Ray diffractionpeaks.

    3. Results and Discussion

    3.1. Powder Structural Characteristics. Themicrostructure ofthe (GeTe)

    0.95(Bi2Te3)0.05

    powder hand crushed and sieved toa maximal powder particle size of 50๐œ‡m is shown in Figures1(a)โ€“1(c).

    It can be easily seen from these figures that the 50๐œ‡mpowder exhibits large microscale agglomerates composed ofless than 5 ๐œ‡m powder domains, Figures 1(a) and 1(b), whichare composed of even finer particles of less than 300 nmparticles, as was observed by TEM analysis (Figure 1(c)). Avery similarmicrostructure was also observed for the powderobtained following hand crushing and sieving to a maximalpowder particle size of 250 ๐œ‡m, indicating that the basicminimal powder particles are much smaller in size thanthe actually sieved microscale powder agglomerates for thisspecific composition. Following 700 RPM, 10 and 20 cyclesof 10 minutes each, even finer particles than 100 nm wereidentified, as indicated in Figure 1(d). No finer details couldbe distinguished by the SEM for the 20-cycle ball millingcompared to the 10 cyclesโ€™ process.

    Room temperature XRD analysis following the variousapplied synthesis conditions, including the high temperaturemelting (850โˆ˜C), and hot pressing (450 and 650โˆ˜C) condi-tions, obtained at higher temperatures than the rhombohe-dral to cubic phase transition (โˆผ430โˆ˜C for pure GeTe), exhib-ited the typical low temperature rhombohedral structure,being as expected in agreement with the equilibrium phasediagram.

    Typical XRD patterns of the 50 and 250 ๐œ‡mhand crushedand sieved powder and ball milled at 700 RPM for 10 and 20cycles of 10 minutes each are shown in Figure 2. The figureillustrates a typical doublet, characteristic of the low temper-ature rhombohedral phase ofGeTe,which exhibits broadenedwidths with increasing the applied mechanical forces duringthe milling process. For the larger agglomerate powder, handcrushed and sieved to 250 and 50 ๐œ‡m, relatively narrow peakswere observed, whichwere analyzed to correspond to averagegrain size of 40โ€“60 nm, in agreement with the finest grains ofless than 300 nm observed by TEM (Figure 1(c)). Increasingthe applied mechanical forces during the 700 RPM energeticball milling procedure resulted in much broadened peaks,corresponding to finer average grain sizes of 20โ€“25 nm. Yet,due to the fact that these large peaks have broadening effect,evidenced in some amorphization of the originally synthe-sized crystalline GeTe phase, and therefore are expected todegrade the electronic transport properties of the investigated(GeTe)

    0.95(Bi2Te3)0.05

    composition, it was decided to focusin the next stages of the research on investigation of thetransport properties of the larger domains powder following50 and 250 ๐œ‡m sieving, in which a higher level of crystallinitywas preserved following the powdering action.

  • Journal of Nanomaterials 3

    (a)

    (b)

    (c)

    (d)

    Figure 1: SEM (a), higher magnification SEM (b), TEM (c) images of (GeTe)0.95

    (Bi2Te3)0.05

    hand crushed and sieved to maximal sized 50 ๐œ‡mpowder, and HRSEM image of similar matrix composition following 10-cycles ball milling ball at 700 RPM/10min (d).

    160

    120

    80

    40

    040 41 42 43 44 45

    2๐œƒ

    Inte

    nsity

    (a.u

    .)

    250๐œ‡m

    50๐œ‡m

    700/10

    700/20

    Figure 2: Powder XRD of (GeTe)0.95

    (Bi2Te3)0.05

    following handcrushing for maximal powder particles size of 50 and 250๐œ‡mand following 10 and 20-cycle ball milling of 10 minutes at700 RPM/10min.

    3.2. Transport Properties followingHot Pressing Consolidation.As was described above in the experimental section, two hotpressing temperatures of 450 and 650โˆ˜C were investigatedin the current research, yielding density values of โˆผ95 andโˆผ97% of the theoretical density, respectively. The 650โˆ˜C(923K) temperature, which is about 90% of the meltingtemperature, ๐‘‡

    ๐‘š, of pure GeTe compound (998K [6]), was

    chosen due to the associated high diffusion rates of theinvolved elements at this temperature and the expected highhomogeneity of the investigated composition. The lowerhot pressing temperature (450โˆ˜C) was chosen to be inthe vicinity of the phase transition temperature (โˆผ430โˆ˜Cin pure GeTe, [6]) from a low temperature rhombohedral

    to a high temperature cubic structures. Both of these hotpressing temperatures, 650 and 450โˆ˜C,were chosen as slightlylower than the melting temperature and the phase transitiontemperatures of pure GeTe, respectively, due to the under-standing that the investigated (GeTe)

    0.95(Bi2Te3)0.05

    matrixcomposition, obtained by 5% alloying with the low meltingtemperature Bi

    2Te3phase (โˆผ585โˆ˜C [7]), which is stable from

    low temperatures up to its melting, is expected to exhibitslightly lowermelting temperature and lower phase transitiontemperatures, respectively, compared to pure GeTe.

    The temperature dependencies of Seebeck coefficient,๐›ผ, electrical resistivity, ๐œŒ, and thermal conductivity, ๐œ…, ofthe investigated (GeTe)

    0.95(Bi2Te3)0.05

    composition followinghand crushing and sieving to maximal powder agglomeratesof 50 and 250๐œ‡m and hot pressing at 450 and 650โˆ˜C areshown in Figures 3, 4, and 5, respectively.

    Investigation of Figures 3 and 4 reveals that following650โˆ˜C hot pressing of both the 50 and 250๐œ‡m sievedpowder agglomerates, nearly identical low temperature ๐›ผand ๐œŒ values, with slightly higher values for the 50๐œ‡msample, were observed, indicating similar associated carrierconcentrations for both of the samples with slightly lowervalues for the 50๐œ‡m sample. This slightly lower overallcarrier concentration for the 50๐œ‡m sample, in which slightlyhigher mechanical force was applied while crushing thesample to this smaller powder particles size sample, can beattributed to the strain induced compensation effect, inwhichas was already established formany telluride compounds (e.g.PbTe [8], Pb

    ๐‘ฅSn1โˆ’๐‘ฅ

    Te [9], Ge๐‘ฅPb1โˆ’๐‘ฅ

    Te [10], and Bi2Te3[11]),

    mechanical stresses can result in introduction of additionaldonor levels in the band gaps, and for the case of inherent๐‘-type compositions, in reduction of the overall carrierconcentration.

    Although the general high similarity between the ๐›ผ and ๐œŒvalues obtained following 650โˆ˜C hot pressing for both of theinvestigated powder particle sizes, similar low temperature

  • 4 Journal of Nanomaterials

    220

    180

    160

    140

    120

    100

    80

    60

    40

    0 100 200 300 400 500

    GeTe (5% Bi2Te3)

    250๐œ‡m/

    450โˆ˜ C

    250๐œ‡m/

    650โˆ˜ C50๐œ‡

    m/650โˆ˜ C200

    Temperature T (โˆ˜C)

    Seeb

    eck

    coeffi

    cien

    t๐›ผ(๐œ‡

    V/K

    )

    Figure 3: Temperature dependence of Seebeck coefficient, ๐›ผ, for(GeTe)

    0.95(Bi2Te3)0.05

    following hand crushing for maximal pow-der particles size of 50 and 250 ๐œ‡m and hot pressing at 650โˆ˜C(50 ๐œ‡m/650โˆ˜C and 250 ๐œ‡m/650โˆ˜C, resp.) and for 250 ๐œ‡mhot pressedpowder at 450โˆ˜C (250๐œ‡m/450โˆ˜C).

    1.1

    1.0

    0.9

    0.8

    0.7

    0.6

    0.5

    0.4

    0.3

    0.2

    0 100 200 300 400 500

    GeTe (5% Bi2Te3)

    250๐œ‡

    m/450โˆ˜ C

    50๐œ‡m

    /650โˆ˜ C

    250๐œ‡

    m/650โˆ˜ C

    Temperature T (โˆ˜C)

    Elec

    tric

    al re

    sistiv

    ity๐œŒ

    (mฮฉ

    cm)

    Figure 4: Temperature dependence of the electrical resistivity,๐œŒ, for (GeTe)

    0.95(Bi2Te3)0.05

    following hand crushing for maximalpowder particles size of 50 and 250 ๐œ‡m and hot pressing at 650โˆ˜C(50 ๐œ‡m/650โˆ˜C and 250 ๐œ‡m/650โˆ˜C, resp.) and for 250 ๐œ‡mhot pressedpowder at 450โˆ˜C (250๐œ‡m/450โˆ˜C).

    Seebeck coefficient values accompanied by much higherlow temperature electrical resistivity values were obtainedfollowing hot pressing at 450โˆ˜C of maximal 250 ๐œ‡m sievedpowder particles, as shown in Figures 3 and 4. This evidencecan be attributed to carrier concentration, ๐‘, values similar tothose obtained following the 650โˆ˜C hot pressing, as indicatedby the similar๐›ผ values, but lower carriermobility,๐œ‡, values, asindicated by the higher ๐œŒ values (๐œŒ = (๐‘ โ‹… ๐‘’ โ‹… ๐œ‡)โˆ’1) which canresult from a lower homogeneity state of this sample, whichwas hot pressed at much lower temperature than for the case

    5.5

    5.0

    4.5

    4.0

    3.5

    3.0

    2.5

    2.0

    1.5

    1.0

    100 200 300 400 500

    GeTe (5% Bi2Te3)

    250๐œ‡m/450 โˆ˜C

    50๐œ‡m/650 โˆ˜C

    250๐œ‡m/650 โˆ˜C

    0

    Temperature T (โˆ˜C)

    Ther

    mal

    cond

    uctiv

    ity๐œ…

    (W/m

    K)

    GeTe (e 5% Bi2TeT 3)

    25500๐œ‡๐œ‡m/m/450 โˆ˜CC

    5500๐œ‡m/m/65500 โˆ˜โˆ˜CC

    25500๐œ‡๐œ‡m/m 665500 โˆ˜CC

    Figure 5: Temperature dependence of the thermal conductivity,๐œ…, for (GeTe)

    0.95(Bi2Te3)0.05

    following hand crushing for maximalpowder particles size of 50 and 250 ๐œ‡m and hot pressing at 650โˆ˜C(50 ๐œ‡m/650โˆ˜C and 250 ๐œ‡m/650โˆ˜C, resp.) and for 250 ๐œ‡mhot pressedpowder at 450โˆ˜C (250 ๐œ‡m/450โˆ˜C).

    of the 650โˆ˜C hot pressing, and can be associated with lowerdiffusion rates of the involved elements.

    Furthermore, both of the ๐›ผ and ๐œŒ temperature depen-dencies of the 450โˆ˜C hot pressed sample were totally differ-ent from those obtained following the 650โˆ˜C hot pressingprocedures. Following the 450โˆ˜C hot pressing conditions, athermal hysteresis was observed between the heating andcooling cycles while measuring both ๐›ผ and ๐œŒ values, with themost pronounced differences in the 100โ€“400โˆ˜C temperaturerange. This abnormal ๐›ผ and ๐œŒ temperature dependent trendcan result from the second order phase transition, associatedwith GeTe based compounds, as was previously reported forsingle crystal grown Ge

    ๐‘ฅPb1โˆ’๐‘ฅ

    Te and Ge๐‘ฅSn1โˆ’๐‘ฅ

    Te alloys [12].In case that as was explained referring to the higher lowtemperature electrical resistivity values, associatedwith lowercarrier mobility values, compositional inhomogeneity isapparent for this low temperature hot pressing process, com-positional variations in the investigated (GeTe)

    ๐‘ฅ(Bi2Te3)1โˆ’๐‘ฅ

    quasi-binary system, are expected to result is a decreasedphase transition temperature from the low temperaturerhombohedral to the high temperature cubic phases, withdecreasing of the ๐‘ฅ values. As a result, a sequence of multiple(GeTe)

    ๐‘ฅ(Bi2Te3)1โˆ’๐‘ฅ

    compositions is expected to result inextended temperature range inwhich in the vicinity of each ofthe individual phase transition temperatures, associated witheach of the apparent compositions, a continuous jump in both๐›ผ and ๐œŒ values is expected. Such an effect can explain theabnormal trend observed in both ๐›ผ and ๐œŒ values following450โˆ˜C hot pressing. For the 650โˆ˜C (โˆผ0.9 Tm) hot pressingtemperature, the much more homogenized sate, associatedwith the much higher diffusion coefficients of each of theinvolved components, suppresses this effect dramatically.

    Regarding the thermal conductivity values (Figure 5)obtained following the 650โˆ˜C hot pressing conditions, lower

  • Journal of Nanomaterials 5

    2.2

    2.0

    1.8

    1.6

    1.4

    1.2

    1.0

    0.8

    0.6

    0.4

    20 40 60 80 100 120 140 160 180 200

    GeTe (5% Bi2Te3)

    250๐œ‡m/450 โˆ˜C

    50๐œ‡m/650 โˆ˜C

    250๐œ‡m/650 โˆ˜C

    Temperature T (โˆ˜C)

    ๐œ…L

    (W/m

    K)

    Figure 6: Temperature dependence of the lattice thermal con-ductivity, ๐œ…

    ๐ฟ, for (GeTe)

    0.95(Bi2Te3)0.05

    following hand crushing formaximal powder particles size of 50 and 250 ๐œ‡m and hot pressing at650โˆ˜C (50๐œ‡m/650โˆ˜C and 250 ๐œ‡m/650โˆ˜C, resp.) and for 250 ๐œ‡m hotpressed powder at 450โˆ˜C (250๐œ‡m/450โˆ˜C).

    values were obtained following pressing of the maximal50๐œ‡m powder agglomerates compared to the 250 ๐œ‡m con-dition. Some reduction of the thermal conductivity of the50๐œ‡m powder is expected due to the slightly higher electri-cal resistivity values (Figure 4) and the consequently lowerelectronic thermal conductivity, ๐œ…

    ๐‘’, values, for this powder

    condition, as evidenced from theWiedemann-Franz relation,๐œ…๐‘’= (๐ฟ/๐œŒ)๐‘‡, where ๐ฟ and ๐‘‡ are Lorenz number and absolute

    temperature, respectively. Yet, in order to explain the large(over than 20%) reduction of the thermal conductivityvalues of the โ€œ50 ๐œ‡mโ€ compared to the โ€œ250๐œ‡mโ€ sample, thelattice contribution to the thermal conductivity, ๐œ…

    ๐ฟ, was also

    calculated for all of the investigated conditions as presentedin Figure 6. For this calculation the reduced Fermi energy(๐œ‚) was initially calculated at low temperatures (

  • 6 Journal of Nanomaterials

    GeTe (5% Bi2Te3)

    250๐œ‡m/

    450โˆ˜ C5

    0๐œ‡m/650โˆ˜ C

    250๐œ‡

    m/650โˆ˜ C

    1.8

    1.6

    1.4

    1.2

    1.0

    0.8

    0.6

    0.4

    0.2

    0.0

    0 100 200 300 400 500

    Figu

    re o

    f mer

    itZT

    Temperature T (โˆ˜C)

    Figure 7: Temperature dependence of the dimensionless thermo-electric figure of merit, ZT, for (GeTe)

    0.95(Bi2Te3)0.05

    following handcrushing for maximal powder particles size of 50 and 250๐œ‡m andhot pressing at 650โˆ˜C (50 ๐œ‡m/650โˆ˜C and 250 ๐œ‡m/650โˆ˜C, resp.) andfor 250 ๐œ‡m hot pressed powder at 450โˆ˜C (250๐œ‡m/450โˆ˜C).

    much higher ZT values, compared to the nonhomogenized450โˆ˜C hot pressing condition, were obtained, exhibiting veryhigh maximal values of โˆผ1.6, which are among the highestso far reported for any ๐‘-type thermoelectric material. Nopractical differences were observed between the โ€œ50๐œ‡mโ€ andโ€œ250๐œ‡mโ€ conditions following 650โˆ˜C hot pressing, probablydue to a compensation of the slightly non-optimized carrierconcentration, obtained for the โ€œ50๐œ‡mโ€ powder due to thepreviously explained strain induced compensation effect, bythe lower lattice conductivity values of this sample, whichwere associated with the higher population of low (

  • Journal of Nanomaterials 7

    [9] Y. Gelbstein, Z. Dashevsky, andM. P. Dariel, โ€œPowder metallur-gical processing of functionally graded p-Pb

    1โˆ’๐‘ฅSn๐‘ฅTe materials

    for thermoelectric applications,โ€ Physica B, vol. 391, no. 2, pp.256โ€“265, 2007.

    [10] Y. Gelbstein, Z. Dashevsky, and M. P. Dariel, โ€œHighly efficientbismuth telluride doped p-type Pb

    0.13Ge0.87

    Te for thermoelec-tric applications,โ€ Physica Status Solidi, vol. 1, no. 6, pp. 232โ€“234,2007.

    [11] N. Bomshtein, G. Spiridonov, Z. Dashevsky, and Y. Gelb-stien, โ€œThermoelectric, structural, andmechanical properties ofspark-plasma-sintered submicro- and microstructured p-TypeBi0.5Sb1.5Te3,โ€ Journal of Electronic Materials, vol. 41, no. 6, pp.

    1546โ€“1553, 2012.[12] Y. Gelbstein, O. Ben-Yehuda, Z. Dashevsky, and M. P. Dariel,

    โ€œPhase transitions of p-type (Pb,Sn,Ge)Te-based alloys forthermoelectric applications,โ€ Journal of Crystal Growth, vol. 311,no. 18, pp. 4289โ€“4292, 2009.

    [13] Y. Gelbstein, O. Ben-Yehuda, E. Pinhas et al., โ€œThermoelectricproperties of (Pb,Sn,Ge)te-based alloys,โ€ Journal of ElectronicMaterials, vol. 38, no. 7, pp. 1478โ€“1482, 2009.

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