• Acta Physica Sinica
  • Vol. 68, Issue 19, 196101-1 (2019)
Qing-Gong Song1、*, Li-Jie Wang2, Yan-Xia Zhu2, Jian-Hai Kang1, Wei-Feng Gu1, Ming-Chao Wang1, and Zhi-Feng Liu1
Author Affiliations
  • 1Institute of Low Dimensional Materials and Technology, College of Science, CivilAviation University of China, Tianjin 300300, China
  • 2Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin 300300, China
  • show less
    DOI: 10.7498/aps.68.20190490 Cite this Article
    Qing-Gong Song, Li-Jie Wang, Yan-Xia Zhu, Jian-Hai Kang, Wei-Feng Gu, Ming-Chao Wang, Zhi-Feng Liu. Effects of Si and Y co-doping on stability and oxidation resistance of γ-TiAl based alloys [J]. Acta Physica Sinica, 2019, 68(19): 196101-1 Copy Citation Text show less
    Structure models of γ-TiAl: (a) The L10 face-center tetragonal unit cell; (b) the least tetragonal unit cell; (c) the unit of Sp0(Ti8Al8).γ-TiAl晶胞结构模型 (a) L10型面心四方结构单元; (b)最小结构单元; (c) Sp0(Ti8Al8)结构单元
    Fig. 1. Structure models of γ-TiAl: (a) The L10 face-center tetragonal unit cell; (b) the least tetragonal unit cell; (c) the unit of Sp0(Ti8Al8). γ-TiAl晶胞结构模型 (a) L10型面心四方结构单元; (b)最小结构单元; (c) Sp0(Ti8Al8)结构单元
    Structure models of γ-TiAl including O (Ti8Al8O): (a) Sp0-Oa; (b) Sp0-Ob; (c) Sp0-Oc; (d) Sp0-Od包含O原子的γ-TiAl晶胞结构模型 (a) Sp0-Oa; (b) Sp0-Ob; (c) Sp0-Oc; (d) Sp0-Od
    Fig. 2. Structure models of γ-TiAl including O (Ti8Al8O): (a) Sp0-Oa; (b) Sp0-Ob; (c) Sp0-Oc; (d) Sp0-Od包含O原子的γ-TiAl晶胞结构模型 (a) Sp0-Oa; (b) Sp0-Ob; (c) Sp0-Oc; (d) Sp0-Od
    Typical structure models of γ-TiAl including Ti or Al vacancy: (a) Sp0-□Ti (Ti7□Al8); (b) Sp0-□Al (Ti8Al7□)包含Ti空位或Al空位的γ-TiAl典型结构模型 (a) Sp0-□Ti (Ti7□Al8); (b) Sp0-□Al (Ti8Al7□)
    Fig. 3. Typical structure models of γ-TiAl including Ti or Al vacancy: (a) Sp0-□Ti (Ti7□Al8); (b) Sp0-□Al (Ti8Al7□) 包含Ti空位或Al空位的γ-TiAl典型结构模型 (a) Sp0-□Ti (Ti7□Al8); (b) Sp0-□Al (Ti8Al7□)
    Typical structure models of Si and Y co-doping γ-TiAl: (a) Sd1x (Ti6SiYAl8); (b) Sd2 (Ti7YAl7Si); (c)Sd3 (Ti7SiAl7Y); (d) Sd4(Ti8Al6SiY)Si和Y替位双掺杂γ-TiAl体系的典型结构模型 (a) Sd1x (Ti6SiYAl8); (b) Sd2 (Ti7YAl7Si); (c) Sd3 (Ti7SiAl7Y); (d) Sd4(Ti8Al6SiY)
    Fig. 4. Typical structure models of Si and Y co-doping γ-TiAl: (a) Sd1x (Ti6SiYAl8); (b) Sd2 (Ti7YAl7Si); (c)Sd3 (Ti7SiAl7Y); (d) Sd4(Ti8Al6SiY) Si和Y替位双掺杂γ-TiAl体系的典型结构模型 (a) Sd1x (Ti6SiYAl8); (b) Sd2 (Ti7YAl7Si); (c) Sd3 (Ti7SiAl7Y); (d) Sd4(Ti8Al6SiY)
    Typical structure models of Si and Y co-doping γ-TiAl including O: (a) Sd1x-Od (Ti6SiYAl8O); (b) Sd2x-Od (Ti7YAl7SiO); (c) Sd3x-Od (Ti7SiAl7YO); (d) Sd4x-Od(Ti8Al6SiYO)Si和Y替位双掺杂γ-TiAl含氧体系的典型结构模型 (a) Sd1x-Od (Ti6SiYAl8O); (b) Sd2x-Od (Ti7YAl7SiO); (c) Sd3x-Od (Ti7SiAl7YO); (d) Sd4x-Od(Ti8Al6SiYO)
    Fig. 5. Typical structure models of Si and Y co-doping γ-TiAl including O: (a) Sd1x-Od (Ti6SiYAl8O); (b) Sd2x-Od (Ti7YAl7SiO); (c) Sd3x-Od (Ti7SiAl7YO); (d) Sd4x-Od(Ti8Al6SiYO) Si和Y替位双掺杂γ-TiAl含氧体系的典型结构模型 (a) Sd1x-Od (Ti6SiYAl8O); (b) Sd2x-Od (Ti7YAl7SiO); (c) Sd3x-Od (Ti7SiAl7YO); (d) Sd4x-Od(Ti8Al6SiYO)
    Typical structure models of Si and Y co-doping γ-TiAl including vacancy: (a)Sd1x-□Ti (Ti5SiY□Al8); (b) Sd2x-□Ti (Ti6Y□Al7Si); (c) Sd3x-□Ti(Ti6Si□Al7Y); (d) Sd4x-□Ti(Ti7□Al6SiY); (e) Sd1x-□Al (Ti6SiYAl7□); (f) Sd2x-□Al (Ti7YAl6Si□); (g) Sd3x-□Al(Ti7SiAl6Y□); (h) Sd4x-□Al(Ti8Al5SiY□)Si和Y替位双掺杂γ-TiAl含空位体系的典型结构模型 (a) Sd1x-□Ti (Ti5SiY□Al8); (b) Sd2x-□Ti (Ti6Y□Al7Si); (c) Sd3x-□Ti(Ti6Si□Al7Y); (d) Sd4x-□Ti(Ti7□Al6SiY); (e) Sd1x-□Al (Ti6SiYAl7□); (f) Sd2x-□Al (Ti7YAl6Si□); (g) Sd3x-□Al(Ti7SiAl6Y□); (h) Sd4x-□Al(Ti8Al5SiY□)
    Fig. 6. Typical structure models of Si and Y co-doping γ-TiAl including vacancy: (a)Sd1x-□Ti (Ti5SiY□Al8); (b) Sd2x-□Ti (Ti6Y□Al7Si); (c) Sd3x-□Ti(Ti6Si□Al7Y); (d) Sd4x-□Ti(Ti7□Al6SiY); (e) Sd1x-□Al (Ti6SiYAl7□); (f) Sd2x-□Al (Ti7YAl6Si□); (g) Sd3x-□Al(Ti7SiAl6Y□); (h) Sd4x-□Al(Ti8Al5SiY□) Si和Y替位双掺杂γ-TiAl含空位体系的典型结构模型 (a) Sd1x-□Ti (Ti5SiY□Al8); (b) Sd2x-□Ti (Ti6Y□Al7Si); (c) Sd3x-□Ti(Ti6Si□Al7Y); (d) Sd4x-□Ti(Ti7□Al6SiY); (e) Sd1x-□Al (Ti6SiYAl7□); (f) Sd2x-□Al (Ti7YAl6Si□); (g) Sd3x-□Al(Ti7SiAl6Y□); (h) Sd4x-□Al(Ti8Al5SiY□)
    Formation energies of interstitial O atoms in the Si and Y co-doping γ-TiAl systems.Si和Y替位双掺杂γ-TiAl含氧体系中间隙O原子的形成能
    Fig. 7. Formation energies of interstitial O atoms in the Si and Y co-doping γ-TiAl systems. Si和Y替位双掺杂γ-TiAl含氧体系中间隙O原子的形成能
    Formation energies of Ti and Al vacancies in Si and Y co-doping γ-TiAl systems.Si和Y双掺杂γ-TiAl含空位体系中Ti空位和Al空位的形成能
    Fig. 8. Formation energies of Ti and Al vacancies in Si and Y co-doping γ-TiAl systems. Si和Y双掺杂γ-TiAl含空位体系中Ti空位和Al空位的形成能
    体系能量性质
    Et /eV Ef/eV
    Sp0–13283.2619–0.3579
    Sd17–10375.5782–0.2448
    Sd19–10375.3125–0.2282
    Sd2–11923.1797–0.3078
    Sd3–11921.0891–0.1771
    Sd4–13468.5526–0.2315
    Table 1.

    Energy properties of pure γ-TiAl and Si and Y co-doping γ-TiAl systems.

    γ-TiAl体系与Si和Y替位双掺杂γ-TiAl体系的能量性质

    体系C11/GPa C12/GPa C13/GPa C33/GPa C44/GPa C66/GPa
    Sp0232.243839.847069.3592196.4413112.348644.8147
    Sd11130.867175.643487.7505134.253570.055846.6357
    Sd13136.829675.181286.9261134.115864.960149.0225
    Sd14180.507543.152981.6884138.519373.064219.7364
    Sd15136.695274.636484.6822128.579767.393447.4253
    Sd16160.122590.060187.6092137.2518106.894143.0277
    Sd19130.885074.386278.7846125.464668.990656.7747
    Sd110132.456695.9060-40.8881351.452424.813542.5965
    Sd4174.452659.450376.4982151.930382.916812.5223
    Table 2.

    Elastic constants of tetragonal systems in pure γ-TiAl and Si and Y co-doping γ-TiAl systems.

    γ-TiAl体系与Si和Y替位双掺杂γ-TiAl体系中四方晶系的弹性常数

    体系C11/GPa C12/GPa C13/GPa C15/GPa C22/GPa C23/GPa C25/GPa
    Sd17174.048951.012878.8477178.679973.6936
    Sd2177.540869.150469.7969–3.6774172.713465.2400–1.6610
    Sd3158.959758.600472.7099–10.1161160.360673.2300–0.1101
    体系C33/GPa C35/GPa C44/GPa C46/GPa C55/GPa C66/GPa
    Sd17117.274859.822064.145210.4758
    Sd2170.8100–1.473277.8416–1.271978.479838.6156
    Sd3139.6061–1.437767.24110.765767.631726.4129
    Table 3.

    Elastic constants of Si and Y co-doping γ-TiAl systems Sd17, Sd2 and Sd3.

    Si和Y替位双掺杂γ-TiAl体系Sd17, Sd2和Sd3的弹性常数

    体系能量性质
    Et /eV Ef /eV
    Sp0–13283.2619–0.3579
    Sp0-Oa–13718.1429–0.0716
    Sp0-Ob–13720.0413–0.1832
    Sp0-Oc–13720.6086–0.2166
    Sp0-Od–13720.9863–0.2388
    Table 4.

    Energy properties of pure γ-TiAl and the systems including O.

    γ-TiAl体系及其含氧体系的能量性质

    体系能量性质
    Et(SdO)/eV Et (Sd)/eV Ef(O)/eV
    Sp0-Od–13720.9863–13283.26191.6665
    Sd11-Od–10812.9929–10375.41801.8160
    Sd13-Od–10813.0355–10375.38111.7365
    Sd14-Od–10813.1059–10375.41751.7025
    Sd15-Od–10813.0129–10375.39881.7768
    Sd16-Od–10813.0989–10375.39831.6903
    Sd17-Od–10813.1600–10375.57821.8091
    Sd19-Od–10813.0084–10375.31251.6950
    Sd110-Od–10813.0341–10375.31211.6689
    Sd21-Od–12361.2419–11923.17971.3287
    Sd22-Od–12361.1930–11923.17971.3776
    Sd23-Od–12361.2834–11923.17971.2872
    Sd31-Od–12359.6285–11921.08910.8515
    Sd32-Od–12360.0430–11921.08910.4370
    Sd33-Od–12359.9518–11921.08910.5282
    Sd41-Od–13907.6183–13468.55260.3252
    Sd42-Od–13906.9550–13468.55260.9885
    Sd43-Od–13906.7798–13468.55261.1637
    Table 5.

    Formation energies of interstitial O atoms in Si and Y co-doping γ-TiAl systems.

    Si和Y替位双掺杂γ-TiAl含氧体系中间隙O原子的形成能

    体系Et (Sd)/eV Et (Sd□Al)/eV Et (Sd□Ti)/eV Ef (□Al)/eV Ef (□Ti)/eV
    Sp0-□–13283.2619–13224.0362–11678.30612.67641.8132
    Sd11-□–10375.4180–10317.9824–8770.22880.88632.0466
    Sd13-□–10375.3811–10317.9645–8770.19410.86732.0444
    Sd14-□–10375.4175–10317.9637–8770.28840.90451.9865
    Sd15-□–10375.3988–10317.9620–8770.21130.88752.0449
    Sd16-□–10375.3983–10317.9032–8770.26490.90981.9908
    Sd17-□–10375.5782–10317.4973–8770.09001.53162.3456
    Sd19-□–10375.3125–10318.4246–8770.25570.33861.9143
    Sd110-□–10375.3121–10318.0212–8770.26090.74161.9086
    Sd2-□–11923.1797–11865.3646–10317.98101.26582.0561
    Sd3-□–11921.0891–11865.3095–10317.6100–0.76970.3365
    Sd4-□–13468.5526–13409.4369–11865.35622.56640.0538
    Table 6.

    Formation energies of Ti and Al vacancies in Si and Y co-doping γ-TiAl systems.

    Si和Y双掺杂γ-TiAl含空位体系中Ti空位和Al空位的形成能

    Qing-Gong Song, Li-Jie Wang, Yan-Xia Zhu, Jian-Hai Kang, Wei-Feng Gu, Ming-Chao Wang, Zhi-Feng Liu. Effects of Si and Y co-doping on stability and oxidation resistance of γ-TiAl based alloys [J]. Acta Physica Sinica, 2019, 68(19): 196101-1
    Download Citation