Thermodynamic description of the Cu-Al-Sn system in the copper-rich corner

Miettinen, Jyrki

doi:10.1007/s11661-002-0173-7

Cited by 54 publications

(42 citation statements)

References 21 publications

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“…(6a) are also zero. In contrast, the binary L (2) CuSn data, obtained by Witusiewicz et al [10], Miettinen [12], and in this work using a multiple regression on Hultgren' s original data [11], are not zero (see Table 2). Therefore, an equation assuming a non-zero L (3) data must be derived.…”

Section: Determination Of Thermodynamic Quantities Of Mixing By Convementioning

confidence: 55%

“…[8][9][10][11][12]. Table 2 gives a comparison of the binary L-data taken from all of these sources while Fig.…”

Section: Resultsmentioning

confidence: 99%

“…AlSn in the COST 507 [8] database and in Miettinen' s paper [12], as well as L (3) CuSn in the COST 531 [9] database (see Table 2)) the expressions including the quantities in Eq. (6a) are also zero.…”

Section: Determination Of Thermodynamic Quantities Of Mixing By Convementioning

confidence: 99%

“…More recently, Schmidt and Tomiska [7] independently developed a similar mass spectrometric regression method not by using the RKM ternary L-parameters but by using the so called thermodynamic adoptive parameter series (TAP) for the description of the individual phases. Mixing thermodynamic data on the boundary binary systems (Al-Cu, Al-Sn and Cu-Sn) are available in several studies [8][9][10][11], whereas the data for Al-Cu-Sn is available only in Miettinen's work [12].…”

Section: Introductionmentioning

confidence: 99%

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Knudsen effusion mass spectrometric determination of mixing thermodynamic data of liquid Al–Cu–Sn alloy

Bencze

Milačič

Jačimović

et al. 2010

International Journal of Mass Spectrometry

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Keywords:Knudsen effusion mass spectrometry Redlich-Kister-Muggianu model Activity Excess Gibbs energy Ternary and binary L-parameter a b s t r a c tThe vaporisation of a liquid Al-Cu-Sn system has been investigated at 1273-1473 K by Knudsen effusion mass spectrometry (KEMS) and the data fitted to a Redlich-Kister-Muggianu (RKM) sub-regular solution model. Thirty-one different compositions (41 samples) have been examined at eight fixed copper mole fractions, X Cu = 0.10, 0.20, 0.30, 0.333, 0.40, 0.50, 0.60 and 0.70. The ternary L-parameters, the thermodynamic activities and the thermodynamic functions of mixing have been evaluated using standard KEMS procedures. In addition, the same quantities were obtained from the measured ion intensity ratios of Al + to Cu + , Al + to Sn + and Cu + to Sn + using a mathematical regression technique. The intermediate data obtained directly are the RKM ternary L-parameters that are, as a function of temperature, as follows:(0) = (14270 ± 1270) + (100.1 ± 7.6)T − (11.77 ± 0.93)T ln(T ); L (1) = (145600 ± 9780) + (101.6 ± 58.7)T − (15.56 ± 7.14)T ln(T ); L (2) = (76730 ± 1240) + (79.2 ± 7.4)T − (15.69 ± 0.91)T ln(T ).From the obtained ternary L-parameters the integral molar excess Gibbs energy, the excess chemical potentials, the activity coefficients and the activities have been evaluated. Using the temperature dependence of the activities, the integral and partial molar excess enthalpies and entropies can be also determined. In addition, for comparison, for some compositions, the Knudsen effusion isothermal evaporation method (IEM) and the Gibbs-Duhem ion intensity ratio method (GD-IIR) were used to determine activities and good agreement was obtained from the RKM model.

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Section: Determination Of Thermodynamic Quantities Of Mixing By Convementioning

confidence: 55%

“…[8][9][10][11][12]. Table 2 gives a comparison of the binary L-data taken from all of these sources while Fig.…”

Section: Resultsmentioning

confidence: 99%

Section: Determination Of Thermodynamic Quantities Of Mixing By Convementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Knudsen effusion mass spectrometric determination of mixing thermodynamic data of liquid Al–Cu–Sn alloy

Bencze

Milačič

Jačimović

et al. 2010

International Journal of Mass Spectrometry

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“…6, the Gibbs excess free energies of various binary alloys are given. [56][57][58][59][60][61][62] It is found that liquid Sn-Ag and Sn-Cu have negative values.…”

Section: Thermodynamic Calculationsmentioning

confidence: 99%

Surface Tension and its Temperature Coefficient of Liquid Sn-X (X=Ag, Cu) Alloys

2004

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The surface tension of liquid Sn-X (X=Ag, Cu) alloys was measured by the constrained drop method in the temperatures between 700 and 1500 K across whole composition range. Surface tension of the alloys increased with the content of Ag and Cu, and the temperature coefficient of the surface tension (d'=dT) had both positive and negative values. Experimental results were compared with the calculated results based on Butler's model. The calculated results reasonably accorded with the measurements. The effect of thermo-physical parameters on the surface tension and the temperature coefficient were examined using the model. It was found that the temperature coefficient increases as the difference in the surface tension of component metals or the excess free energy increases in the high composition range of the component metal having higher surface tension, because of the surface enhancement of the other component metal.

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Phase diagrams for lead-free solder alloys

Kattner

2002

JOM

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Thermodynamic description of the Cu-Al-Sn system in the copper-rich corner

Cited by 54 publications

References 21 publications

Knudsen effusion mass spectrometric determination of mixing thermodynamic data of liquid Al–Cu–Sn alloy

Knudsen effusion mass spectrometric determination of mixing thermodynamic data of liquid Al–Cu–Sn alloy

Surface Tension and its Temperature Coefficient of Liquid Sn-X (X=Ag, Cu) Alloys

Phase diagrams for lead-free solder alloys

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