Experimental Data and the Calculated Values from the Eq. [25], the activities of the components of those Bi-based Wagner Formula of Activity of Solute Zn in the Zn-Sn-Bi dilute solutions have been predicted, as shown in Tables V at 823 K through VIII. It can be seen from the tables that the predicted values are in good agreement with both the experimental a Zn values and the values calculated from the Wagner's formula, x Zn x Sn x Bi MIVM Wagner [13] Experiment [13] respectively, and all the predicted average relative errors 0.015 0.015 0.970 0.047 0.045 0.047 S 1 ϭ (100/n)͚Ȋ(a 1,exp Ϫ a 1,pre )/a 1,exp Ȋ are acceptable. These 0.015 0.025 0.960 0.047 0.045 0.046 results show that MIVM is an accurate and reliable method 0.015 0.0375 0.9475 0.046 0.044 0.045 for predicting the thermodynamic properties of the Bi-based 0.015 0.050 0.935 0.046 0.044 0.045 ternary dilute solutions. 0.025 0.015 0.960 0.078 0.075 0.075 In conclusion, the coordination numbers in the MIVM 0.025 0.025 0.950 0.077 0.074 0.076 can be calculated from common physical quantities of pure 0.025 0.0375 0.9375 0.077 0.074 0.071 metals. A significant advantage of the model lies in its ability 0.025 0.050 0.925 0.077 0.073 0.070 to predict the thermodynamic properties of ternary liquid 0.0375 0.015 0.9465 0.116 0.112 0.117 0.0375 0.025 0.9375 0.116 0.111 0.116 alloys using only the binary infinite dilute activity coeffi-0.0375 0.0375 0.9245 0.115 0.110 0.106 cients, and the predicted values are in good agreement with 0.0375 0.050 0.9125 0.114 0.109 0.104 the experimental data of ternary liquid alloys. These results 0.050 0.015 0.935 0.154 0.150 0.151 show that the model is reliable, convenient, and economic. 0.050 0.025 0.925 0.153 0.148 0.149 0.050 0.0375 0.9125 0.152 0.146 0.148 0.050 0.050 0.900 0.152 0.144 0.147 REFERENCES Wagner: S 1 ϭ Ϯ2.68 pct MIVM: S 1 ϭ Ϯ3.97 pct 1.
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