Abstract:The direct and indirect band gaps of Si1−x−yGexSny are inferred from the calculated energy-band structure of α-Sn and from the known structures of Ge and Si. Our assumptions are: that the energy-band shapes of the binaries Sn1−xGex, Ge1−ySiy and Si1−ySny change smoothly with x and y, and that the energy gap of SiGeSn can be estimated by interpolation from the gaps of SnGe, GeSi, and SiSn. The optical indices of refraction of SiGeSn are also estimated.
“…Ge 1−x−y Si x Sn y alloys have been studied for the possibility of forming direct band gap semiconductors. [6][7][8][9] Since the initial growth of this alloy, 10 device-quality epilayers with a wide range of alloy contents have been achieved. Incorporation of Sn provides the opportunity to engineer separately the strain and band structure since we can vary the Si ͑x͒ and Sn ͑y͒ compositions independently.…”
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“…Ge 1−x−y Si x Sn y alloys have been studied for the possibility of forming direct band gap semiconductors. [6][7][8][9] Since the initial growth of this alloy, 10 device-quality epilayers with a wide range of alloy contents have been achieved. Incorporation of Sn provides the opportunity to engineer separately the strain and band structure since we can vary the Si ͑x͒ and Sn ͑y͒ compositions independently.…”
Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS.
“…After this time, the function <r> 3 (t) showed the typical linear behavior that is expected for precipitate coarsening by volume diffusion [14]. Non-linearities of <r> 3 with time are commonly attributed to diffusion shortcuts such as dislocations, stacking faults, grain boundaries, and other common lattice defects [14].…”
Section: Resultsmentioning
confidence: 96%
“…Earlier plan view TEM investigations of Sn x Si 1-x layers annealed at 650 ºC at the California Institute of Technology revealed an initially rapid increase of the average QD volume (<r> 3 ) with time (t) for the first 2.2 hours of the anneal, Fig. 1a, [9].…”
Section: Resultsmentioning
confidence: 99%
“…As α-Sn is a direct, 0.08 eV, band gap semiconductor and substitutional Sn x Si 1-x solution are predicted to possess direct band gaps for 0.9 < x < 1 [3], QDs in a Si matrix consisting of pure α-Sn or substitutional (Sn,Si) solutions with a sufficiently high Sn content have potential applications as direct band-gap material for cheap and effective optoelectronic and thermo-photovoltaic devices. There are, however, at room temperature a 41.8 % bulk unit cell volume mismatch between α-Sn and Si and an equilibrium solid solubility of Sn in Si of only 0.12 %.…”
Two distinct mechanisms for the endotaxial growth of quantum dots in the Sn/Si system were observed by means of analytical transmission electron microcopy. Both mechanisms operate simultaneously during temperature and growth rate modulated molecular beam epitaxy combined with ex situ thermal treatments. One of the mechanisms involves the creation of voids in Si, which are subsequently filled by Sn, resulting in quantum dots that consist of pure α-Sn. The other mechanism involves phase separation and leads to substitutional solid solution quantum dots with a higher Sn content than the predecessor quantum well structures possess. In both cases, the resultant quantum dots possess the diamond structure and the shape of a tetrakaidecahedron. (Sn,Si) precipitates that are several times larger than the typical (Sn,Si) quantum dot possess an essentially octahedral shape.
“…[29][30][31][32][33][34] To study the effects of Sn substitutions in Si-Ge alloys (Si 0.50 Ge 0.125 Sn 0.375 ), we compute the properties of Si 0.75 Ge 0.25 -a near composition that had been extensively used in thermoelectric applications, with its thermoelectric figure-of-merit (ZT) being 1.3 and 0.95 for n and p type, respectively. 35,36 For the fully relaxed structure, the equilibrium lattice constant (bulk modulus) were determined as 5.536 Å (80.5 GPa) and 5.899 Å (52.1 GPa) for Si 0.75 Ge 0.25 and Si 0.50 Ge 0.125 Sn 0.375 , respectively.…”
The viability of Si-Ge alloys in thermoelectric applications lies in its high figure-of-merit, non-toxicity and earth-abundance. However, what restricts its wider acceptance is its operation temperature (above 1000 K) which is primarily due to its electronic band gap. By means of density functional theory calculations, we propose that iso-electronic Sn substitutions in Si-Ge can not only lower its operation to mid-temperature range but also deliver a high thermoelectric performance. While calculations find a near invariance in the magnitude of thermopower, empirical models indicate that the materials thermal conductivity would also reduce, thereby substantiating that Si-Ge-Sn alloys are promising mid-temperature thermoelectrics.
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