Phase Equilibria of the Fe–Cr–Er Ternary System in the Range 973–1273 K
Abstract
:1. Introduction
2. Materials and Methods
3. Results
4. Discussion
4.1. Phase Equilibria at 1273 K
4.2. Phase Equilibria at 1073 K
4.3. Phase Equilibria at 973 K
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Phase | Phase Prototype | Space Group | Lattice Parameters (nm) | Reference | ||
---|---|---|---|---|---|---|
a | b | c | ||||
αFe | cI2 | 0.2862 | 0.2862 | 0.2862 | [1] | |
γFe | cF4 | 0.3613 | 0.3613 | 0.3613 | [1] | |
Cr | cI2 | 0.2910 | 0.2910 | 0.2910 | [2] | |
Er | hP2 | P63/mmc | 0.3555 | 0.3555 | 0.5584 | [15] |
σ | tP30 | P42/mmm | 0.8802 | 0.8802 | 0.4548 | [35] |
ErFe2 | cF24 | 0.7316 | 0.7316 | 0.7316 | [39] | |
ErFe3 | hR36 | 0.5086 | 0.5086 | 24464 | [39] | |
Er6Fe23 | cF116 | 1.1994 | 1.1994 | 1.1994 | [39] | |
Er2Fe17 | hP38 | P63/mmc | 0.8444 | 0.8444 | 0.8268 | [39] |
ErCr2Fe10 | t/26 | I4/mmm | 0.8534 | 0.8534 | 0.4761 | [46] |
Er3Cr12-xFex | hP80 | P63/mmc | 0.8416 | 0.8416 | 0.8325 | [48] |
Alloys No. | Nominal Composition (at.%) | Experimental Results (at.%) | Phase Determination | ||||
---|---|---|---|---|---|---|---|
Fe | Cr | Er | Fe | Cr | Er | ||
A1 | 40 | 5 | 55 | 46.92 | 15.26 | 37.82 | ErFe2 |
1.57 | 0.55 | 97.88 | Er | ||||
A2 | 70 | 5 | 25 | 67.56 | 11.73 | 20.71 | Er6Fe23 |
73.8 | 1.72 | 24.48 | ErFe3 | ||||
63.44 | 3.56 | 33 | ErFe2 | ||||
A3 | 70 | 2 | 28 | 63.04 | 2.35 | 34.61 | ErFe2 |
74.01 | 1.07 | 24.92 | ErFe3 | ||||
A4 | 65 | 10 | 25 | 57.89 | 11.72 | 30.39 | ErFe2 |
61.67 | 16.87 | 21.46 | Er6Fe23 | ||||
A5 | 59 | 11 | 30 | 60.15 | 10.08 | 29.77 | ErFe2 |
A6 | 53 | 25 | 22 | 11.15 | 86.07 | 2.78 | α(Fe,Cr) |
62.15 | 7.82 | 30.03 | ErFe2 | ||||
A7 | 60 | 20 | 20 | 61.72 | 18.34 | 19.94 | Er6Fe23 |
61.89 | 6.94 | 31.17 | ErFe2 | ||||
21.56 | 75.93 | 2.51 | α(Fe,Cr) | ||||
A8 | 20 | 40 | 40 | 52.53 | 14.8 | 32.67 | ErFe2 |
1.21 | 4.48 | 94.31 | Er | ||||
5.03 | 92.03 | 2.94 | α(Fe,Cr) | ||||
A9 | 70 | 8 | 22 | 73.92 | 2.47 | 24.61 | ErFe3 |
70.18 | 8.69 | 21.13 | Er6Fe23 | ||||
A10 | 73 | 10 | 18 | 72.43 | 9.7 | 17.87 | Er6Fe23 |
A11 | 80 | 5 | 15 | 68.86 | 10.11 | 21.03 | Er6Fe23 |
85.61 | 3.32 | 11.07 | Er2Fe17 | ||||
A12 | 68 | 20 | 12 | 64.22 | 28 | 7.78 | ErCr2Fe10 |
69.81 | 13.46 | 16.73 | Er6Fe23 | ||||
71.95 | 18.32 | 9.73 | Er2Fe17 | ||||
A13 | 56 | 35 | 9 | 66.75 | 16.75 | 16.5 | Er6Fe23 |
57.43 | 34.99 | 7.58 | ErCr2Fe10 | ||||
26.63 | 71.08 | 2.29 | α(Fe,Cr) | ||||
A14 | 65 | 25 | 10 | 67.74 | 15.76 | 16.5 | Er6Fe23 |
61.81 | 30.86 | 7.33 | ErCr2Fe10 | ||||
A15 | 83 | 5 | 12 | 84.16 | 4.61 | 11.23 | Er2Fe17 |
A16 | 85 | 10 | 5 | 86.72 | 4.57 | 8.71 | Er2Fe17 |
78.11 | 15.02 | 6.87 | ErCr2Fe10 | ||||
87 | 10.02 | 2.98 | γFe | ||||
A17 | 93 | 2 | 5 | 94.74 | 2.28 | 2.98 | γFe |
88.78 | 2.28 | 8.94 | Er2Fe17 | ||||
A18 | 71 | 25 | 4 | 68.35 | 24.26 | 7.39 | ErCr2Fe10 |
80.02 | 17.88 | 2.1 | α(Fe,Cr) | ||||
A19 | 57 | 27 | 16 | 63.88 | 18.24 | 17.87 | Er6Fe23 |
23.67 | 74.08 | 2.25 | α(Fe,Cr) | ||||
A20 | 2 | 92 | 6 | 2.85 | 95.31 | 1.83 | α(Fe,Cr) |
0.65 | 5.41 | 93.94 | Er |
Alloys No. | Nominal Composition (at.%) | Experimental Results (at.%) | Phase Determination | ||||
---|---|---|---|---|---|---|---|
Fe | Cr | Er | Fe | Cr | Er | ||
B1 | 70 | 5 | 25 | 64.6 | 13.49 | 20.01 | Er6Fe23 |
73.26 | 1.81 | 24.93 | ErFe3 | ||||
65.65 | 1.04 | 33.31 | ErFe2 | ||||
B2 | 50 | 30 | 20 | 64.6 | 14.85 | 20.55 | Er6Fe23 |
62.87 | 4.54 | 32.59 | ErFe2 | ||||
21.71 | 75.74 | 2.55 | α(Fe,Cr) | ||||
B3 | 20 | 40 | 40 | 55.96 | 10.48 | 33.56 | ErFe2 |
1.42 | 2.45 | 96 | Er | ||||
17.66 | 80.11 | 2.23 | α(Fe,Cr) | ||||
B4 | 70 | 20 | 10 | 66.82 | 25.09 | 8.09 | ErCr2Fe10 |
74.93 | 15.22 | 9.85 | Er2Fe17 | ||||
72.94 | 8.56 | 18.5 | Er6Fe23 | ||||
B5 | 73 | 4 | 23 | 72.43 | 6.34 | 21.22 | Er6Fe23 |
74.37 | 1.44 | 24.19 | ErFe3 | ||||
B6 | 80 | 5 | 15 | 77.55 | 4.3 | 18.15 | Er6Fe23 |
82.91 | 4.2 | 12.89 | Er2Fe17 | ||||
B7 | 68 | 20 | 12 | 66.4 | 25.71 | 7.89 | ErCr2Fe10 |
73.26 | 8.35 | 18.39 | Er6Fe23 | ||||
72.43 | 17.77 | 9.8 | Er2Fe17 | ||||
B8 | 56 | 35 | 9 | 66.3 | 14.17 | 19.53 | Er6Fe23 |
61.13 | 30.9 | 7.97 | ErCr2Fe10 | ||||
22.69 | 74.92 | 2.39 | α(Fe,Cr) | ||||
B9 | 67 | 20 | 13 | 68.81 | 12.45 | 18.75 | Er6Fe23 |
64.93 | 27.27 | 7.8 | ErCr2Fe10 | ||||
B10 | 83 | 5 | 12 | 84.25 | 4.68 | 11.07 | Er2Fe17 |
B11 | 90 | 5 | 5 | 85.98 | 4.8 | 9.22 | Er2Fe17 |
77.01 | 15.38 | 7.61 | ErCr2Fe10 | ||||
91.43 | 5.71 | 2.85 | α(Fe,Cr) | ||||
B12 | 93 | 2 | 5 | 95.07 | 2.08 | 2.85 | α(Fe,Cr) |
88.02 | 1.78 | 10.2 | Er2Fe17 | ||||
B13 | 75 | 20 | 5 | 72.04 | 20.61 | 7.35 | ErCr2Fe10 |
76.29 | 20.71 | 3 | α(Fe,Cr) | ||||
B14 | 8 | 80 | 12 | 7.99 | 90.06 | 1.95 | α(Fe,Cr) |
0.39 | 2.73 | 96.87 | Er | ||||
B15 | 48 | 2 | 50 | 2.16 | 1.12 | 96.72 | Er |
61.05 | 3.15 | 35.8 | ErFe2 |
Alloys No. | Nominal Composition (at.%) | Experimental Results (at.%) | Phase Determination | ||||
---|---|---|---|---|---|---|---|
Fe | Cr | Er | Fe | Cr | Er | ||
C1 | 70 | 5 | 25 | 68.13 | 11.09 | 20.78 | Er6Fe23 |
72.92 | 2.21 | 24.87 | ErFe3 | ||||
67.08 | 1.02 | 31.9 | ErFe2 | ||||
C2 | 72 | 1 | 27 | 67.31 | 0.51 | 32.18 | ErFe2 |
73.04 | 1.11 | 25.86 | ErFe3 | ||||
C3 | 50 | 30 | 20 | 66.15 | 13.21 | 20.64 | Er6Fe23 |
63.24 | 5.7 | 31.05 | ErFe2 | ||||
15.39 | 82.75 | 1.85 | α(Fe,Cr) | ||||
C4 | 25 | 35 | 40 | 59.15 | 7.5 | 33.35 | ErFe2 |
1.41 | 0.77 | 97.82 | Er | ||||
12.21 | 85.66 | 2.13 | α(Fe,Cr) | ||||
C5 | 75 | 3 | 22 | 74.32 | 1.65 | 24.03 | ErFe3 |
75.57 | 3.63 | 20.8 | Er6Fe23 | ||||
C6 | 73 | 10 | 18 | 71.59 | 10.87 | 17.54 | Er6Fe23 |
C7 | 80 | 5 | 15 | 78.65 | 3.78 | 17.56 | Er6Fe23 |
84.13 | 3.64 | 12.22 | Er2Fe17 | ||||
C8 | 68 | 20 | 12 | 72.84 | 16.22 | 10.94 | ErCr2Fe10 |
67.46 | 13.73 | 18.81 | Er6Fe23 | ||||
73.48 | 16.23 | 10.28 | Er2Fe17 | ||||
C9 | 60 | 30 | 10 | 67.06 | 13.28 | 19.66 | Er6Fe23 |
63.62 | 28.64 | 7.74 | ErCr2Fe10 | ||||
25.67 | 72.32 | 2.01 | α(Fe,Cr) | ||||
C10 | 83 | 5 | 12 | 83.43 | 5.19 | 11.38 | Er2Fe17 |
C11 | 74 | 18 | 8 | 73.91 | 16.56 | 9.53 | Er2Fe17 |
71.16 | 21.84 | 7 | ErCr2Fe10 | ||||
80.77 | 16.58 | 2.65 | α(Fe,Cr) | ||||
C12 | 93 | 2 | 5 | 94.9 | 2.71 | 2.39 | α(Fe,Cr) |
88.51 | 1.93 | 9.55 | Er2Fe17 | ||||
C13 | 5 | 83 | 12 | 6.65 | 91.79 | 1.56 | α(Fe,Cr) |
0.47 | 1.29 | 98.24 | Er |
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Li, C.; Nie, Y.; Yin, R.; Yang, J.; Ye, L.; Liu, L.; Zhang, L. Phase Equilibria of the Fe–Cr–Er Ternary System in the Range 973–1273 K. Materials 2023, 16, 1705. https://doi.org/10.3390/ma16041705
Li C, Nie Y, Yin R, Yang J, Ye L, Liu L, Zhang L. Phase Equilibria of the Fe–Cr–Er Ternary System in the Range 973–1273 K. Materials. 2023; 16(4):1705. https://doi.org/10.3390/ma16041705
Chicago/Turabian StyleLi, Chenbo, Yusong Nie, Rong Yin, Jifeng Yang, Lideng Ye, Libin Liu, and Ligang Zhang. 2023. "Phase Equilibria of the Fe–Cr–Er Ternary System in the Range 973–1273 K" Materials 16, no. 4: 1705. https://doi.org/10.3390/ma16041705