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HomeMaterials Science ForumMaterials Science Forum Vol. 653Au-Si and Au-Ge Phases Diagrams for Nanosytems

Au-Si and Au-Ge Phases Diagrams for Nanosytems

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Abstract:

A thermodynamic study describing relative stability of different systems solid and liquid at equilibrium involved in the growth of semiconductor nanowires is reported. A number of stable and metastable phase diagrams, taking into account the size and the shape of condensed phases are calculated for the two binary systems Au-Si and Au-Ge.

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Thermal and Thermodynamic Stability of Nanomaterials

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Periodical:

Materials Science Forum (Volume 653)

Pages:

77-85

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.653.77

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Online since:

June 2010

Authors:

Djamila Hourlier, Pierre Perrot

Keywords:

Au-Ge Phase Diagram, Au-Si Phase Diagram, Nanoparticle, Nanowhisker, Semiconductor Nanowires, Thermodynamic

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[17] A.T. Dinsdale, Calphad, 15 317. Table I: Thermodynamic data of the Au-Si system G°(Au, L) - G°(Au, FCC) = 12 552 - 9. 385 866 T.

[17] G°(Si, L) - G°(Si, diamond) = 50 696. 36 - 30. 099 439 T + 2. 093 1 × 10-21 T 7.

[17] G°(Ge, L) - G°(Ge, diamond) = 37141. 49 - 30. 687044 T + 8. 5663 × 10-21 T 7 GL xs = x (1 - x ) ∑∑∑∑ Li (1 - 2 x ) i where x is the mole fraction of Si in the liquid alloy L0 = - 23 863. 9 - 16. 234 38 T L1 = - 20 529. 55 - 6. 039 58 T L2 = - 8 170. 5 - 4. 273 2 T L3 = - 33 138. 25 + 26. 566 65 T.

[5] GL xs = x (1 - x) ∑∑∑∑ Li (1 - 2 x ) i where x is the mole fraction of Ge in the liquid alloy L0 = - 20050 - 8. 365 T L1 = - 12950 - 2. 015 T L2 = - 13. 52 T Table II: Molar volume V and surface tension σσσσ of Au, Si and Ge Element V / m3. mol −1 σ / J. m −2 <Au>, fcc 1. 0206 ×10 − 5 exp.

[4] . 23 ×10 − 5 (T − 293)] 1. 423 − 1. 9 × 10 − 3 (T − 1337) (Au), liq 1. 1345 × 10 − 5 exp.

[8] . 0 ×10 − 5(T − 1337)] 1. 138 − 1. 9 × 10 − 3 (T − 1337) <Ge>, dia 1. 3648 ×10 − 5 exp.