Thermodynamic assessment of the Si–Zn, Mn–Si, Mg–Si–Zn and Mg–Mn–Si systems

Shukla, Amar; Kang, Youn-Bae; Pelton, Arthur D.

doi:10.1016/j.calphad.2008.07.002

Cited by 34 publications

(15 citation statements)

References 25 publications

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“…À4 at the eutectic temperature 692.2 K (419.2°C), which is in lower silicon concentration than the previously calculated eutectic composition as X Si = 1 9 10 À3 [43] and X Si = 4.5 9 10 À4 . [47] G. Si-Cu System…”

Section: F Si-zn Systemmentioning

confidence: 54%

“…[96] The thermodynamics of this system has also been studied in several studies. [43,[98][99][100][101] In this system, a eutectic point exists on the silicon-rich part where a liquid with 66.4 at. pct Si is in equilibrium with solids of silicon and Mn 19 Si 11 at 1423.2 K (1150.2°C).…”

Section: S Si-mn Systemmentioning

confidence: 99%

“…The Si-Zn phase diagram is a simple eutectic system with a eutectic at 692.2 K (419.2°C) and X Si = 0.001 according to the assessed phase diagram by Shukla et al [43] The liquidus of this system has been measured by gravimetric method [4,16,44] and by differential thermal analysis (DTA). [45,46] Figure 8 shows the a-T plot using the reported liquidus data [4,16,44,45] which gives a = 29,206 J/mol and b = 16.26 J/mol-K.…”

Section: F Si-zn Systemmentioning

confidence: 99%

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Liquidus of Silicon Binary Systems

Safarian

Kolbeinsen

Tangstad

2011

Metall Mater Trans B

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Thermodynamic knowledge about liquid silicon is crucial for the production of solar-grade silicon feedstock from molten silicon. In the current study, liquidus for silicon binary alloys is formulated using a previously developed method in which the liquidus curve is calculated using two constants. The liquidus measurements for the silicon portion of the silicon alloys with Al, Ca, Mg, Fe, Ti, Zn, Cu, Ag, Au, Pt, Sn, Pb, Bi, Sb, Ga, In, Ni, Pd, Mn, and Rh are reviewed, and the consistent data were used to determine the liquidus constants. The liquidus curves for silicon binary systems are calculated and plotted. It is indicated that the calculated liquidus curves fit well with the experimental data. A correlation between the determined liquidus constants is also observed, which can be used to gain a better understanding of the thermodynamics of the silicon binary melts.

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Section: F Si-zn Systemmentioning

confidence: 54%

Section: S Si-mn Systemmentioning

confidence: 99%

Section: F Si-zn Systemmentioning

confidence: 99%

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Liquidus of Silicon Binary Systems

Safarian

Kolbeinsen

Tangstad

2011

Metall Mater Trans B

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“…20, the determined activities by vapour pressure measurements [60,61] are smaller than the determined activities using the same technique [62] and other techniques [59,63]. The activities in the Si-Mn liquid alloys have also been calculated through thermodynamic studies [64,65]. The calculated activities for Si and Mn are shown in Fig.…”

Section: Si-mn Alloysmentioning

confidence: 99%

Thermodynamic activities in silicon binary melts

2012

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The thermodynamic activities in the silicon binary melts with Al, Ca, Mg, Fe, Ti, Zn, Cu, Ag, Au, Sn, Pb, Bi, Sb, Ga, In, Pt, Ni, Mn and Rh are studied. The silicon activities along the liquidus are calculated through a quasi-regular solution model using the recently determined liquidus constants for the silicon binary systems. The silicon activities at its melting point are calculated considering regular solution approximation. The activities of the other melt component at the silicon melting point are also calculated through the graphical integration of the GibbsDuhem equation for the activity coefficient, which are further utilized to determine the corresponding activities along the liquidus. The calculated activities are presented graphically, and it is indicated that the results are consistent with the reported activity data in the literature. The activities in the dilute solutions are also calculated graphically. Moreover, the activities of particular dilute solute elements in silicon are calculated through a simple formula, which is a function of the liquidus constants.

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“…Further, the model allows choosing freely the composition of the maximum short range ordering in the liquid in the binary system by choosing a suitable composition dependent hypothetical coordination number. Finally, the choice of the modified quasichemical model for the liquid phase leads to the required consistency with the other existing databases, [2][3][4][5][6][7] developed with the same model for Mg alloys. Successful application of this model for the optimization of numerous binary and higher order systems provides the basis for choosing the model for optimizing the current ternary and the binary subsystems.…”

Section: Choice Of the Mqc Model For The Liquid Phasementioning

confidence: 99%

Thermodynamic Description of the Mg-Mn, Al-Mn and Mg-Al-Mn Systems Using the Modified Quasichemical Model for the Liquid Phases

Asgar-Khan

Medraj

2009

Mater. Trans.

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A self-consistent thermodynamic model of the Mg-Mn, Al-Mn and Mg-Al-Mn systems has been developed. The major difference between this work and the already existing assessments of these systems is the application of the modified quasichemical model for the liquid phase in each system while most of the existing descriptions use the random mixing model. In the absence of key data for the Mg-Mn system, the calculated thermodynamic properties from the model have been found comparable to other similar systems and the estimated critical temperature of the Mg-Mn liquid miscibility gap using the available empirical equation has been found to be in acceptable agreement with the calculated value. A comparison between the current work and the most recent work on the Al-Mn system that uses the same model for the liquid phase reveals that better agreement with the experimental data with less number of model parameters has been achieved in the current work. Kohler symmetric extrapolation model with only one ternary interaction parameter has been used to calculate the ternary Mg-Al-Mn system. The thermodynamic description of the Mg-Al-Mn system has been verified by extensive comparison with the available experimental data from numerous independent experiments. The model can satisfactorily reproduce all the invariant points and the key phase diagram and thermodynamic features of the ternary as well as the constituent binary systems.

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Thermodynamic assessment of the Si–Zn, Mn–Si, Mg–Si–Zn and Mg–Mn–Si systems

Cited by 34 publications

References 25 publications

Liquidus of Silicon Binary Systems

Liquidus of Silicon Binary Systems

Thermodynamic activities in silicon binary melts

Thermodynamic Description of the Mg-Mn, Al-Mn and Mg-Al-Mn Systems Using the Modified Quasichemical Model for the Liquid Phases

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