Abstract
Crystallographic calculations using the edge-to-edge matching (E2EM) model indicated a high grain refining potency of Ce2O2S for primary δ-ferrite during solidification of associated steels because of the low interatomic spacing misfit of 4.27 pct along the matching directions of \( \left\langle {2\bar{1}\bar{1}0} \right\rangle_{{{\text{Ce}}_{ 2} {\text{O}}_{ 2} {\text{S}}}} \)||\( \left\langle {110} \right\rangle_{{\delta {\text{ - Fe}}}} \) and the low interplanar mismatch of 4.27 pct between the matching planes of \( {{\{ 11\bar{2}0\} }}_{{{\text{Ce}}_{ 2} {\text{O}}_{ 2} {\text{S}}}} \)||\( {{\{ 011\} }}_{{\delta {\text{ - Fe}}}} \). To verify this prediction, an Fe-4Si alloy was selected as the test alloy to enable the retention of the primary δ-ferrite at room temperature. The appropriate Ce addition was predicted with thermodynamic calculations using the FactSage Software System based on the sulfur content in the alloy. Compared with that of the alloy without Ce, the addition of 0.0325 wt pct Ce led to a 47.1 pct reduction in the average grain size in the Fe-4Si alloy ingots. Calculations based on the E2EM model also predicted two novel orientation relationships (ORs) between Ce2O2S and the primary δ-ferrite. These two ORs were also experimentally observed using electron backscattered diffraction in a scanning electron microscope. The ORs are as follows: \( {[2\bar{1}\bar{1}0]}_{{\text{Ce}_{{2}} \text{O}{}_{{2}}{\text{S}}}} \)||\( \text{[110]}_{{\delta \text{ - Fe}}} \), \( {(000\bar{2})}_{{\text{Ce}_{{2}} \text{O}_{{2}} {\text{S}}}} \)1.0 deg from \( {(1\bar{1}0)}_{{\delta \text{ - Fe}}} \), \( {(01\bar{1}0)}_{{\text{Ce}_{{2}} \text{O}_{{2}} {\text{S}}}} \)1.0 deg from \( {(002)}_{{\delta \text{ - Fe}}} \) and \( {[\bar{1}101]}_{{\text{Ce}_{{2}} \text{O}_{{2}} {\text{S}}}} \)||\( \text{[100]}_{{\delta \text{ - Fe}}} \), \( {(11\bar{2}0)}_{{\text{Ce}_{{2}} \text{O}_{{2}} {\text{S}}}} \)3.0 deg from \( {(0\bar{1}\bar{1})}_{{\delta \text{ - Fe}}} \), \( {(\bar{1}10\bar{2})}_{{\text{Ce}_{{2}} \text{O}_{{2}} {\text{S}}}} \)3.0 deg from \( {(0\bar{1}1)}_{{\delta \text{ - Fe}}}. \)
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References
[1] Y. Nuri, T. Ohashi, T. Hiromoto and K. Kitamura: Trans. Iron Steel Inst. Jpn., 1982, vol. 22, pp. 399-407.
[2] M.X. Guo and H. Suito: ISIJ Int., 1999, vol. 39, pp. 722-29.
J. Xu, J.X. Zhu, B. Xu, K. Zhang and L.M. Wang: J. Chin. Rare Earth Soc., 2006, vol. 24, pp. 486–89.
[4] H. Zhang, W.F. Cui, J.J. Wang and C.M. Liu: Trans. Mater. Heat Treat., 2011, vol. 32, pp. 61-6.
[5] J.Z. Gao, P.X. Fu, H.W. Liu and D.Z. Li: Metals, 2015, vol. 5, pp. 383-94.
[6] L.N. Bartlett and B.R. Avila: Int. J. Metalcast., 2016, vol. 10, pp. 401-20.
[7] R.B. Tuttle: Int. J. Metalcast., 2016, vol. 10, pp. 21-31.
[8] H.Z. Li, H.T. Liu, X.L. Wang, G.M. Cao, C.G. Li, Z.Y. Liu and G.D. Wan: Mater. Lett., 2016, vol. 165, pp. 5-8.
[9] A.Q. Wang, M. Li, D.Q. Ma, Q.J. Wu, and J.P. Xie: Kem. Ind., 2016, vol. 65, pp. 11-16.
[10] R. Tuttle: Int. J. Metalcast., 2012, vol. 6, pp. 51-65.
[11] R. Tuttle: Int. J. Metalcast., 2013, vol. 7, pp. 7-16.
[12] R. Tuttle and K. Song: Int. J. Metalcast., 2015, vol. 9, pp. 23-31.
[13] H. Li, A. Mclean, J.W. Rutter and I.D. Sommerville: Metall. Mater. Trans. B, 1988, vol. 19, pp. 383-95.
[14] G. Thewlis: Met. Sci. J., 2013, vol. 22, pp. 153-66.
[15] Y.D. Li, C.J. Liu, C.L. Li and M.F. Jiang: J. Chongqing Univ., 2015, vol. 38, pp. 112-7.
L.A. Smirnov, V.A. Rovnushkin, A.S. Oryshchenko, G. Yu. Kalinin, and V. G. Milyuts: Metallurgist, 2016, vol. 59, pp. 1053-61.
[17] M.M. Song, B. Song, W.B. Xin, G.L. Sun, G.Y. Song and C.L. Hu: Ironmaking Steelmaking, 2015, vol. 42, pp. 594-9.
[18] F.F. Hao, B. Liao, D. Li, L.G. Liu, T. Dan, X.J. Ren and Q.X. Yang: J. Rare Earths, 2011, vol. 29, pp. 609-13.
[19]J. Yang, F.F. Hao, D. Li, Y.F. Zhou, X.J. Ren, Y.L. Yang and Q.X. Yang: J. Rare Earths, 2012, vol. 30, pp. 814-19.
[20] Y.J. Tian, H.Q. Wu, J.H. Guo and F.R. Li: J. Chin. Rare Earth Soc., 1988, vol. 6, pp. 45-8.
[21] Y.C. Yu, S.H. Zhang, H. Li, S.B. Wang: High Temp. Mater. Processes, 2018, vol. 37, pp.261-9.
[22] B.L. Bramfitt: Metall. Trans., 1970, vol. 1, pp. 1987-95.
Z.L. Liu, D. Qiu, F. Wang, J.A. Taylor and M.X. Zhang: J. Appl. Crystallogr., 2015, vol. 48, pp. 890-900.
F. Wang, D. Qiu, Z.L. Liu, J.A. Taylor, M.A. Easton and M.X. Zhang: Acta Mater., 2013, vol. 61, pp. 5636-45.
Y. Ali, D. Qiu, B. Jiang, F.S. Pan and M.X. Zhang: J. Alloys Compd., 2015, vol. 619, pp. 639-51.
P. M. Kelly and M.-X. Zhang: Mater. Forum, 1999, vol. 23, pp. 41-62.
P. M. Kelly and M.-X. Zhang: Scr. Mater., 2005, vol. 52, pp. 963-8.
P. M. Kelly and M.-X. Zhang: Prog. Mater. Sci., 2009, vol. 54, pp. 1101-7.
[29] D. Qiu, M.-X Zhang and P.M. Kelly: Scr. Mater., 2009, vol. 61, pp. 312-15.
Y. Ali, D. Qiu, B. Jiang, F.-S. Pan and M.X. Zhang: Scripta Mater., 2016, vol. 114, pp. 103-107.
F. W, D. Q, Z.L. Liu, J.A. Taylor, M.A. Easton and M.X Zhang: J. Appl. Crystallogr., 2014, vol. 47, pp. 770-79.
Z.L. Liu, D. Qiu, F. Wang, J.A. Taylor and M.-X. Zhang: Acta Mater., 2014, vol. 79, pp. 315-26.
[33] W.Z. Zhang and G.R. Purdy: Philos. Mag. A, 1993, vol. 68, pp. 279-90.
W.Z. Zhang, F. Ye, C. Zhang, Y. Qi, and H.S. Fang: Acta Mater., 2000, vol. 48, pp. 2209-19.
S. Ohba, Y. Saito and Y. Noda: Acta Crystallogr. Sect. A., 1982, vol. A38, pp. 725-29.
[36] M. Mikami and S. Nakamura: J. Alloys Compd., 2006, vol. 408, pp. 687-92.
[37] M. Li, J.M. Li, Q. Zheng, D. Qiu, G. Wang and M. X. Zhang: Metall. Mater. Trans. B, 2017, vol. 48, pp. 2902-12.
[38] M. Li, J.M. Li, Q. Zheng, G. Wang and M.X. Zhang: Metall. Mater. Trans. A, 2018, vol. 49, pp. 2235-47.
Acknowledgments
The authors are very grateful to the funding support from the National Natural Science Foundation of China (Grant Nos. 51761034 and 51261018) and the Natural Science Foundation of Inner Mongolia in China (Grant No. 2017MS0512).
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Manuscript submitted September 5, 2018.
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Ji, Y.P., Li, Y.M., Zhang, M.X. et al. Crystallography of the Heterogeneous Nucleation of δ-Ferrite on Ce2O2S Particles During Solidification of an Fe-4Si Alloy. Metall Mater Trans A 50, 1787–1794 (2019). https://doi.org/10.1007/s11661-019-05142-y
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DOI: https://doi.org/10.1007/s11661-019-05142-y