# Fileset

[Tables.pdf](https://mdr.nims.go.jp/filesets/2e6efeb9-fb44-416a-befe-3c24e64173e5/download)

## Creator

[Ikuo Ohnuma](https://orcid.org/0000-0003-4874-4941), Kwangsik Han, Inho Lee, Takako Yamashita, Ryosuke Kainuma

## Rights

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s11669-024-01110-1[In Copyright](http://rightsstatements.org/vocab/InC/1.0/)

## Other metadata

[Thermodynamic Evaluation of the Fe-Zn Binary System with Reference to the Latest Experimental Phase Diagram](https://mdr.nims.go.jp/datasets/f54cb2cb-afec-4245-b6cb-f74d5766b78b)

## Fulltext

Table 1  Comparison between thermodynamic parameters of the liquid phase [28-31].   Nakano [28, 29] Xiong [30] Tang [31] Present work 𝐿!",$%&'(. +  + 58088 − 23.665·T + 20696.5073 +125613.74 ×exp(− 1.38979·10-3·T) + 20116.2 𝐿!",$%&'(. ,  + 92219 − 55.584·T + 14782.0192  − 8.9768·T +189615.062 ×exp(− 2.3496·10-3·T) − 150.285 𝐿!",$%&'(. -  + 13570 − 11266.6992  + 7.3942·T − 2137.539 − 1561.94 G_FeZn12    − 112799.9 + 141.485·T Notes MG at HT appears. MG at HT was corrected. MG at HT was corrected using exponential parameters. Associate solution model was utilized. * “MG” and “HT” represent “miscibility gap” and “high temperature”, respectively.     Table 2  Nominal symbols, stoichiometric ratios, crystal structures, and formula of Gibbs energy models in Zn-Fe binary system.     Phase Pearson symbol Space group Prototype Formula in the present study Liquid - - - (Fe, Zn, FeZn12) (αFe) cI2 𝐼𝑚3$𝑚 W (Fe, Zn)1(Va)3 (γFe) cF4 𝐹𝑚3$𝑚 Cu (Fe, Zn)1(Va)1 Γ-Fe4Zn9 cI52 𝐼4$3𝑚 Cu5Zn8 (Fe)!.!##$% (Zn)!.#%% (Fe, Zn)!.&&&&%%%  Γ1-Fe11Zn40 cF408 𝐹4$3𝑚 Fe11Zn40 (Fe)!.!$#'% (Zn)!.#'(&%% (Fe, Zn)!.(&!)%%%  δ1k-FeZn7 Three times as large as that of δ1p (Fe)!.!$*+% (Zn)!.$*+&%% (Fe, Zn)!.(*+&%%%  δ1p-Fe13Zn126 hP555 P63mc FeZn10 (Fe)!.!$*+% (Zn)!.$*+&%% (Fe, Zn)!.(*+&%%%  ζ-FeZn13 mC28 C2/m CoZn13 (Fe)!.!##$% (Zn)!.$&&&%% (Fe, Zn)!.(%%%  (ηZn) hP2 P63/mmc Mg (Fe, Zn, FeZn12)1(Va)0.5 Table 3  Thermodynamic and magnetic parameters of the Fe-Zn system evaluated in this study. Gibbs energy parameters of pure elements are taken from reference [43] and the magnetic properties of disordered solution phases, γFe (A1) and αFe (A2), are from reference [28]. Thermodynamic parameters [ J/mol ] and magnetic parameters [K], [μB] Liquid : (Fe, Zn, FeZn12)  𝐿!",$%& +  = + 20116.2, 𝐿!",$%& , = − 150.285, 𝐿!",.'& - = − 1561.94 𝐿!",!"!$%!"&  = 𝐿$%,!"!$%!"&  = 0 𝐺!"!$%!"&  = − 8676.917 + 10.8835 T + 0.0769 𝐺!"&  + 0.9231 𝐺$%&  αFe (A2) : (Fe, Zn)1 (Va)3 𝐿!",$%/- + = − 8169.109 + 16.6657 T, 𝐿!",$%/- , = + 13656.92 − 13.9237 T, 𝐿!",$%/- - = + 4485.963 𝑇0 /- = 1043𝑥!" + 504.3𝑥!"𝑥$% , 𝛽 /- = 2.22𝑥!" γFe (A1) : (Fe, Zn)1 (Va)1 𝐿!",$%/, +  = + 12487.70, 𝐿!",$%/, , = + 1441.752 𝑇0 /, = −201𝑥!" ,  𝛽 /, = −2.1𝑥!" ηZn (A3) : (Fe, Zn, FeZn12)1 (Va)0.5 𝐿!",$%/1 +  = + 1500 + 5 T ,  𝐿!",!"!$%!"/1  = 𝐿$%,!"!$%!"/1  = 0  𝐺!"!$%!"/1  = − 284.615 + 0.0769 𝐺!"/1 + 0.9231 𝐺$%/1 Γ-Fe4Zn9 : (Fe)+.+2234 (Zn)+.244 (Fe, Zn)+.1111444  𝐺!":$%:!"6  = − 4003.232 + 0.7346 T + 0.4 °𝐺!"/- + 0.6 °𝐺$%/1 𝐺!":$%:$%6  = + 2515.325 − 4.3415 T + 0.0667 °𝐺!"/- + 0.9333 °𝐺$%/1 𝐿!":$%:!",$%6  = − 18228.68 + 19.9038 T Γ1-Fe11Zn40 : (Fe)+.+3274 (Zn)+.27-144 (Fe, Zn)+.-1+8444  𝐺!":$%:!"6,  = − 5485.973 + 2.5583 T + 0.3077 °𝐺!"/- + 0.6923 °𝐺$%/1 𝐺!":$%:$%6,  = + 4399.436 − 6.3696 T + 0.0769 °𝐺!"/- + 0.9231 °𝐺$%/1 𝐿!":$%:!",$%6,  = − 20229.49 + 20.8641 T δ1k-FeZn7 : (Fe)+.+3,94 (Zn)+.3,9144 (Fe, Zn)+.-,91444  𝐺!":$%:!":,;  = − 6786.998 + 4 T + 0.2857 °𝐺!"/- + 0.7143 °𝐺$%/1 𝐺!":$%:$%:,;  = − 2432.079 − 0.2861 T + 0.0714 °𝐺!"/- + 0.9286 °𝐺$%/1 𝐿!":$%:!",$%:,;  = − 1233.705 + 2.4548 T δ1p-Fe13Zn126 : (Fe)+.+3,94 (Zn)+.3,9144 (Fe, Zn)+.-,91444  𝐺!":$%:!":,<  = − 6646.204 + 4 T + 0.2857 °𝐺!"/- + 0.7143 °𝐺$%/1 𝐺!":$%:$%:,<  = − 2088.477 − 0.79 T + 0.0714 °𝐺!"/- + 0.9286 °𝐺$%/1 𝐿!":$%:!",$%:,<  = − 1300 + 3 T ζ-FeZn13 : (Fe)+.+2234 (Zn)+.311144 (Fe, Zn)+.-444  𝐺!":$%:!"=  = + 46222.16 + 3.9874 T + 0.2667 °𝐺!"/- + 0.7333 °𝐺$%/1 𝐺!":$%:$%=  = − 2699.545 + 0.1895 T + 0.0667 °𝐺!"/- + 0.9333 °𝐺$%/1 𝐿!":$%:!",$%=  = − 54547.42