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Published in:
12-04-2019
Effect of Solid Solution Elements on Solubility Products of Carbides and Nitrides in Ferrite: Thermodynamic Calculations
Published in: Metallurgical and Materials Transactions A | Issue 6/2019
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Abstract
Thermodynamic calculation based on the two sublattice model are used to evaluate solubility products of titanium, niobium, vanadium carbide, and nitride in ferrite under the effect of solid solution alloy elements Mn and Ni, respectively. The results show that the calculated solubility products of these binary compounds in pure ferrite are closer to the solubility products by experimental measurements than the solubility products by thermodynamic calculations in previous studies. The solubility products in ferrite, on the condition that the total solid solution alloy content is relatively small, are given as follows:
$$ \log ^{\alpha }K_{\text{TiC}} = 5.08 - \frac{11,048}{T} + 0.04\left[ {\text{wt pct Mn}} \right] + \frac{62}{T}\left[ {\text{wt pct Ni}} \right] $$
$$ \log ^{\alpha }K_{\text{NbC}} = 5.72 - \frac{12,249}{T} + 0.06\left[ {\text{wt pct Mn}} \right] + \frac{44}{T}\left[ {\text{wt pct Ni}} \right] $$
$$ \log ^{\alpha }K_{\text{VC}} \, = \,6.02\, - \,\frac{9563}{T} + \left( { - \,0.04 + \frac{79}{T}} \right)\left[ {\text{wt pct Mn}} \right] + \left( { - \,0.03 + \frac{80}{T}} \right)\left[ {\text{wt pct Ni}} \right] $$
$$ \log ^{\alpha }K_{\text{TiN}} = 5.41 - \frac{16,997}{T} + 0.03\left[ {\text{wt pct Mn}} \right] + \frac{32}{T}\left[ {\text{wt pct Ni}} \right] $$
$$ \log ^{\alpha }K_{\text{NbN}} = 5.51 - \frac{12,799}{T} + 0.05\left[ {\text{wt pct Mn}} \right] + \frac{13}{T}\left[ {\text{wt pct Ni}} \right] $$
$$ \log ^{\alpha }K_{\text{VN}} = 4.94\, - \,\frac{10,615}{T} + \left( { - \,0.05 + \frac{85}{T}} \right)\left[ {\text{wt pct Mn}} \right]\, + \,\left( { - \,0.03 + \frac{49}{T}} \right)\left[ {\text{wt pct Ni}} \right] $$