Cluster formulas of Co-Al-W-base superalloys

Ma Qi-Hui; Zhang Yu; Wang Qing; Dong Hong-Gang; Dong Chuang

doi:10.7498/aps.68.20181030

Abstract

Having a $\gamma /\gamma′ $ microstructure similar to Ni-base superalloys and also including various alloying elements such as Al and W, new Co-base superalloy, namely Co-Al-W-base alloy, has been widely studied as a kind of potential alternative of Ni-base superalloy, which is the most important high-temperature structural material in industrial applications. Besides, Co-Al-W-base alloy has also excellent mechanical properties, for example, creep properties comparable to those of the first-generation Ni-base single crystal superalloys. In our previous work, the ideal composition formula of Ni-base superalloy has been obtained by applying the cluster-plus-glue-atom structure model of faced centered cubic solid solution, which shows that the most stable chemical short-range-order unit is composed of a nearest-neighbor cluster and three next-neighbor glue atoms. In this paper, the ideal cluster formula of Co-Al-W-base superalloy is addressed by using the same approach. Based on cluster-plus-glue-atom model theory, according to lattice constants and atom radii, calculations are carried out. The results show that the atom radius of Al is equal to Covalent radius (0.126 nm) and for $\gamma′ $ phase the atom radius of W changes obviously (0.1316 nm). After analyzing atomic radii, the chemical formula for Co-Al-W ternary alloy is calculated to be [Al-Co₁₂](Co,Al,W)₃, which signifies an Al centered atom and twelve Co nearest-neighbored cluster atoms plus three glue atoms, which is in good consistence with that for Ni-base single crystal superalloy. For multi-element alloy, the alloying elements are classified, according to the heat of mixing between the alloying elements and Co as well as partition behavior of alloying elements, as solvent elements-Co-like elements $\overline {{\rm{Co}}} $ (Co, Ni, Ir, Ru, Cr, Fe, and Re) and solute elements-Al-like elements $\overline {{\rm{Al}}} $ (Al, W, Mo, Ta, Ti, Nb, V, etc.). The solvent elements can be divided into two kinds according to partition behaves: ${\overline {{\rm{Co}}} ^{\gamma }}$ (Cr, Fe, and Re) and ${\overline {{\rm{Co}}} ^{\gamma′}}$ (Ni, Ir, and Ru). The latter is further grouped into Al, ${\overline {\rm{W}} }$ (W and Mo, which have weaker heat of mixing than Al-Co ) and ${\overline {{\rm{Ta}}} }$ (Ta, Ti, Nb, V, etc., which have stronger heat of mixing than Al-Co). Then all chemically complex Co-Al-W-base superalloys are simplified into $\overline {{\rm{Co}}} \text{-} \overline {{\rm{Al}}} $ pseudo-binary or $\overline {{\rm{Co}}} \text{-} {\rm{Al}} \text{-} \left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)$ pseudo-ternary system. Within the framework of the cluster-plus-glue-atom formulism and by analyzing the compositions of alloy, it is shown that the Co-Al-W-base superalloy satisfies the ideal formula $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]\left( {{{\overline {{\rm{Co}}} }_{1.0}}{{\overline {{\rm{Al}}} }_{2.0}}} \right)$ (or $\left[ {{\rm{Al}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{1.0}}{\rm{A}}{{\rm{l}}_{0.5}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{1.5}}$ = ${\overline {{\rm{Co}}} _{81.250}}{\rm{A}}{{\rm{l}}_{9.375}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{9.375}}$ at.%). In the same way, those of $\gamma $ and $\gamma′ $ phases are respectively $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]\left( {{{\overline {{\rm{Co}}} }_{1.5}}{{\overline {{\rm{Al}}} }_{1.5}}} \right)$ (or $\left[ {{\rm{Al}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{1.5}}{\rm{A}}{{\rm{l}}_{0.5}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{1.0}}$ = ${\overline {{\rm{Co}}} _{84.375}}{\rm{A}}{{\rm{l}}_{9.375}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{6.250}}$ at.%) and $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]\left( {{{\overline {{\rm{Co}}} }_{0.5}}{{\overline {{\rm{Al}}} }_{2.5}}} \right)$ (or $\left[ {{\rm{Al}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{0.5}}{\rm{A}}{{\rm{l}}_{0.5}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{2.0}}$ = ${\overline {{\rm{Co}}} _{78.125}}{\rm{A}}{{\rm{l}}_{9.375}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{12.500}}$ at.%). For example, alloy Co₈₂Al₉W₉ and its $\gamma $ and $\gamma′ $ phases are formulated respectively as [Al-Co₁₂]Co_1.1Al_0.4W_1.4 (～ [Al-Co₁₂]Co_1.0Al_0.5W_1.5), [Al-Co₁₂]Co_1.6Al_0.4W_1.0 (～ [Al-Co₁₂]Co_1.5Al_0.5W_1.0), and [Al-Co₁₂]Co_0.3Al_0.5W_2.2 (～[Al-Co₁₂]Co_0.5Al_0.5W_2.0).

Keywords:

Authors and contacts

Key Laboratory of Materials Modification by Laser, Ion and Electron Beams Ministry of Education, Dalian University of Technology, Dalian 116024, China

Corresponding author: Dong Chuang, dong@dlut.edu.cn

Funds: Project supported by the Aviation Major Research Program Cultivation Project of the National Natural Science Foundation of China (Grant No. 91860108) and the National Natural Science Foundation of China (Grant No. 11674045).

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References

[1]	Sims C T, Hagel W C 1972 The Superalloys (New York: John Wiley & Sons) p1
[2]	Sato J, Omori T, Oikawa K, Ohnuma I, Kainuma R, Ishida K 2006 Science 312 90 Google Scholar
[3]	Suzuki A, Pollock T M 2008 Acta Mater. 56 1288 Google Scholar
[4]	Bauer A, Neumeiera S, Pyczakb F, Singer R F, Göken M 2012 Mater. Sci. Eng. 550 333 Google Scholar
[5]	Klein L, Shen Y, Killian M S, Virtanen S 2011 Corros. Sci. 53 2713 Google Scholar
[6]	Ooshima M, Tanaka K, Okamoto N L, Kishida K, Inui H 2010 J. Alloys Compd. 508 71 Google Scholar
[7]	Chen M, Wang C Y 2009 Scr. Mater. 60 659 Google Scholar
[8]	Bauer A, Neumeier S, Pyczakc F, Göken M 2010 Scr. Mater. 63 1197 Google Scholar
[9]	Kobayashi S, Tsukamoto Y, Takasugi T 2012 Intermetallics 31 94 Google Scholar
[10]	Meher S, Yan H Y, Nag S, Dye D, Banerjee R 2012 Scr. Mater. 67 850 Google Scholar
[11]	Morinaga M, Yukawa N, Ezaki H, Adachi H 1984 Superalloys (Warrendale, PA: The Metallurgical Society of AIME) p523
[12]	张继山, 崔华, 胡壮麟, 村田纯教, 森永正彦, 汤川夏夫 1993 金属学报 29 289 Google Scholar Zhang J S, Cui H, Hu Z L, Murata Y, Morinaga M, Yukawa N 1993 Acta Metall. Sin. 29 289 Google Scholar
[13]	Dong C, Wang Q, Qiang J B, Wang Y M, Jiang N, Han G, Li Y H, Wu J, Xia J H 2007 J. Phys. D: Appl. Phys. 40 R273 Google Scholar
[14]	Han G, Qiang J B, Li F W, Yuan L, Quan S G, Wang Q, Wang Y M, Dong C, Häussler P 2011 Acta Mater. 59 5917 Google Scholar
[15]	Luo L J, Chen H, Wang Y M, Qiang J B, Wang Q, Dong C, Häussler P 2014 Philos. Mag. 94 2520 Google Scholar
[16]	张宇, 王清, 董红刚, 董闯, 张洪宇, 孙晓峰 2017 金属学报 54 591 Google Scholar Zhang Y, Wang Q, Dong H G, Dong C, Zhang H Y, Sun X F 2017 Acta Metall. Sin. 54 591 Google Scholar
[17]	Bragg W L, Williams E J 1934 Proc. R. Soc. London, Ser. A 151 699
[18]	Williams E 1935 Proc. R. Soc. London, Ser. A 152 231 Google Scholar
[19]	Bethe H 1935 Proc. R. Soc. London, Ser. A 150 552 Google Scholar
[20]	Cowly J 1950 Phys. Rev. 77 669 Google Scholar
[21]	Cowly J 1960 Phys. Rev. 120 1648 Google Scholar
[22]	Cowly J 1965 Phys. Rev. 138 A1384 Google Scholar
[23]	Chen H, Wang Q, Wang Y M, Qiang J B, Dong C 2010 Philos. Mag. 90 3935 Google Scholar
[24]	Chen H, Wang Q, Wang Y M, Wang Y, Dong C 2011 Isr. J. Chem. 51 1226 Google Scholar
[25]	Wang Y, Wang Q, Zhao J, Dong C 2010 Scr. Mater. 63 178 Google Scholar
[26]	Yuan L, Pang C, Wang Y M, Wang Q, Qiang J B, Dong C 2010 Intermetallics 18 1800 Google Scholar
[27]	Li F W, Qiang J B, Wang Q, Wang Y M, Dong X L, Dong C, Zhu S J 2012 Intermetallics 30 86 Google Scholar
[28]	Wang Z R, Dong D D, Qiang J B, Wang Q, Wang Y M, Dong C 2013 Sci. China: Phys. Mech. Astron. 56 1419 Google Scholar
[29]	Wang Q, Zhu C L, Li Y H, Wu J, Dong C, Qiang J B, Zhang W, Inoue A 2007 Mater. Sci. Forum 561−565 1275 Google Scholar
[30]	谷俊杰 2011 硕士学位论文 (大连: 大连理工大学) Gu J J 2011 M. S. Thesis (Dalian: Dalian University of Technology) (in Chinese)
[31]	Wang Q, Li Q, Li X N, Zhang R Q, Gao X X, Dong C, Liaw P K 2015 Metall. Mater. Trans. A 46 3924 Google Scholar
[32]	王清, 查钱锋, 刘恩雪, 董闯, 王学军, 谭朝鑫, 龚春俊 2012 金属学报 48 1201 Google Scholar Wang Q, Zha Q F, Liu E X, Dong C, Wang X J, Tan C X, Gong C J 2012 Acta Metall. Sin. 48 1201 Google Scholar
[33]	马仁涛, 郝传璞, 王清, 任明法, 王英敏, 董闯 2010 金属学报 46 1034 Google Scholar Ma R T, Hao C P, Wang Q, Ren M F, Wang Y M, Dong C 2010 Acta Metall. Sin. 46 1034 Google Scholar
[34]	董丹丹 2017 博士学位论文 (大连: 大连理工大学) Dong D D 2017 Ph. D. Dissertation (Dalian: Dalian University of Technology) (in Chinese)
[35]	董闯, 董丹丹, 王清 2018 金属学报 54 293 Google Scholar Dong C, Dong D D, Wang Q 2018 Acta Metall. Sin. 54 293 Google Scholar
[36]	Hong H L, Wang Q, Dong C 2015 Sci. China: Mater. 58 355 Google Scholar
[37]	Hong H L, Wang Q, Dong C, Liaw P K 2014 Sci. Rep. 4 7065 Google Scholar
[38]	洪海莲, 董闯, 王清, 张宇, 耿遥祥 2016 65 036101 Google Scholar Hong H L, Dong C, Wang Q, Zhang Y, Geng Y X 2016 Acta Phys. Sin. 65 036101 Google Scholar
[39]	Pearson W B 1973 J. Appl. Cryst. 6 306 Google Scholar
[40]	Pyczak F, Bauer A, Göken M, Lorenz U, Neumeier S, Oehring M, Paul J, Schell N, Schreyer A, Stark A, Symanzik F 2015 J. Alloys Compd. 632 110 Google Scholar
[41]	Povstugar I, Zenk C H, Li R, Choi P P, Neumeier S, Dolotko O, Hoelzel M, Göken M, Raabe D 2016 Mater. Sci. Technol. 32 220 Google Scholar
[42]	Shinagawa K, Omori T, Sato J, Oikawa K, Ohnuma I, Kainuma R, Ishida K 2008 Mater. Trans. 49 1474 Google Scholar
[43]	Wang Y J, Wang C Y 2009 Appl. Phys. Lett. 94 261909 Google Scholar
[44]	Bocchini P J, Lass E A, Moon K W, Williams M E, Campbell C E, Kattner U R, Dunand D C, Seidman D N 2013 Scr. Mater. 68 563 Google Scholar
[45]	Povstugar I, Choi P P, Neumeier S, Bauer A, Zenk C H, Göken M, Raabe D 2014 Acta Mater. 78 78 Google Scholar
[46]	Meher S, Banerjee R 2014 Intermetallics 49 138 Google Scholar
[47]	Lass E A, Williams M E, Campbell C E, Moon K W, Kattner U R 2014 J. Phase Equilib. Diffus. 35 711 Google Scholar
[48]	Zhong F, Li S S, Sha J B 2015 Mater. Sci. Eng. A 637 175 Google Scholar
[49]	Sauza D J, Bocchini P J, Dunand D C, Seidman D N 2016 Acta Mater. 117 135 Google Scholar
[50]	Zhou H J, Xue F, Chang H, Feng Q 2018 J. Mater. Sci. Technol. 34 799 Google Scholar
[51]	Takeuchi A, Inoue A 2005 Mater. Trans. 46 2817 Google Scholar
[52]	Shinagawa K, Omori T, Oikawa K, Kainuma R, Ishida K 2009 Scr. Mater. 61 612 Google Scholar
[53]	Chen M, Wang C Y. 2010 Phys. Lett. A 374 3238 Google Scholar
[54]	Ping D H, Cui C Y, Gu Y F, Harada H 2007 Ultramicroscopy 107 791 Google Scholar
[55]	Makineni S K, Nithin B, Chattopadhyay K 2015 Scr.Mater. 98 36 Google Scholar
[56]	Makineni S K, Samanta A, Rojhirunsakool T, Alam T, Nithin B, Singh A K, Banerjee R, Chattopadhyay K 2015 Acta Mater. 97 29 Google Scholar
[57]	Pollock T M, Dibbern J, Tsunekane M, Suzuki 2010 JOM 62 58 Google Scholar
[58]	Yan H Y, Vorontsov V A, Dye D 2014 Intermetallics 48 44 Google Scholar
[59]	Xue F, Zhou H J, Ding X F, Wang M L, Feng Q 2013 Mater. Lett. 112 215 Google Scholar
[60]	Xue F, Zhou H J, Feng Q 2014 JOM 66 2486 Google Scholar
[61]	Titus M S, Suzuki A, Pollock T M 2012 High Temperature Creep of New L12 Containing Cobalt‐Base Superalloys (New York: John Wiley Sons. Inc.) p823
[62]	Shi L, Yu J J, Cui C Y, Sun X F 2015 Mater. Lett. 149 58 Google Scholar

Cited By

图 1 Co-Al基的面心立方固溶体及AuCu₃有序结构中的立方八面体[Al-Co₁₂]团簇

Figure 1. Cuboctahedron [Al-Co₁₂] cluster in Co-Al-base faced centered cubic solid solution and in AuCu₃-type ordered structure

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图 2 合金数量随Co含量的变化, 虚线表示平均成分式$\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{1.0}}{\overline {{\rm{Al}}} _{2.0}}$

Figure 2. Statistical distribution of alloy compositions as a function of at.% Co. The dashed vertical line represents the ideal composition formula $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{1.0}}{\overline {{\rm{Al}}} _{2.0}}$

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图 3 $\overline {{\rm{Co}}} \text{-} {\rm{Al}} \text{-} \left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)$伪三元成分分布　(a) 合金成分; (b) $\gamma $和$\gamma′ $两相成分; 图中虚线为 Co-Al-W三元相图中富Co端1173 K等温截面相图^[2], 中心成分点${\overline {{\rm{Co}}} _{81.250}}{\rm{A}}{{\rm{l}}_{9.375}}$${\left( {\overline {\rm{W}} ,\overline {{\rm{Ta}}} } \right)_{9.375}}$用蓝色空心三角形标出

Figure 3. $\overline {{\rm{Co}}} \text{-} {\rm{Al}} \text{-} \left( {\overline {\rm{W}} ,\overline {{\rm{Ta}}} } \right)$ pseudo-ternary composition diagram: (a) Alloy compositions; (b) $\gamma $ and $\gamma′ $ two phases compositions, where the dashed lines represent the isothermal section of the Co-Al-W ternary system in the Co-rich portion at 1173 K^[2], and the blue hollow triangle points to the center composition ${\overline {{\rm{Co}}} _{81.250}}{\rm{A}}{{\rm{l}}_{9.375}}{\left( {\overline {\rm{W}} ,\overline {{\rm{Ta}}} } \right)_{9.375}}$

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图 4 合金数量随类Co元素总量$\overline {{\rm{Co}}} $的变化　(a) $\gamma $和$\gamma′ $相成分; (b) 合金成分; 竖虚线表示各自理想成分

Figure 4. Evolution of numbers of alloys with $\overline {{\rm{Co}}} $ content: (a) $\gamma′ $ and $\gamma $ phases; (b) alloys. Vertical dashed lines represent the ideal compositions

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表 1 实测的$\gamma $相成分和晶格常数^[40-42], 以及按照(7)式计算的晶格常数

Table 1. Measured compositions and lattice constants of $\gamma $ phase in Co-Al-W-base superalloys^[40-42], in comparison with the calculated lattice constants

合金成分/at.%	$\gamma $相成分/at.%	晶格常数实验值/nm	晶格常数计算值/nm	绝对误差$\varDelta $
Co₈₂Al₉W₉	Co_81.7Al_9.3W₉	0.3580	0.3579	0.0001
Co₈₃Al₉W₈	Co_81.9Al_10.0W_8.1	0.3576	0.3575	0.0001
Co₈₀Al₉W₁₁	Co_80.7Al_9.2W_10.2	0.3586	0.3588	0.0002
Co₇₄Al₉W₉Cr₈	Co_73.9Al_8.0W_6.8Cr_11.2	0.3578	0.3575	0.0003
Co₆₄Al₉W₉Ni₁₈	Co_69.1Al_6.8W_7.0Ni_16.9	0.3577	0.3562	0.0015
Co₆₅Al₉W₉Ni₉Cr₈	Co_66.7Al_7.8W_6.7Ni_8.3Cr_10.7	0.3581	0.3584	0.0003
Co₅₆Al₉W₉Ni₁₈Cr₈	Co_59.2Al_6.0W_7.4Ni_15.6Cr_11.8	0.3583	0.3581	0.0002
Co_72.5Ni₁₀Al₁₀W_7.5	Co_76.2Al_8.7W_5.4Ni_9.7	0.3578	0.3562	0.0016

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表 2 实测$\gamma′ $相成分和晶格常数^[40-42]以及根据(9)式计算的W原子半径

Table 2. Atomic radii of W fitted from measured compositions and lattice constants $\gamma′$ phases in different alloys^[40-42]

合金成分/at.%	$\gamma′ $相成分/at.%	晶格常数实验值/nm	W原子半径/nm
Co₈₂Al₉W₉	Co_77.49Al_10.03W_12.48	0.3594	0.1317
Co₈₃Al₉W₈	Co_76.6Al_9.4W₁₄	0.3589	0.1306
Co₈₀Al₉W₁₁	Co_75.1Al_9.1W_15.8	0.3595	0.1311
Co₇₄Al₉W₉Cr₈	Co_73.9Al_9.4W_10.4Cr_6.3	0.3587	0.1314
Co₆₄Al₉W₉Ni₁₈	Co_58.9Al_10.8W_11.0Ni_19.3	0.3590	0.1317
Co₆₅Al₉W₉Ni₉Cr₈	Co_64.2Al_10.1W_9.9Ni_9.4Cr_6.4	0.3587	0.1317
Co₅₆Al₉W₉Ni₁₈Cr₈	Co_54.5Al_10.5W_9.7Ni_19.7Cr_5.6	0.3587	0.1319
Co_72.5Ni₁₀Al₁₀W_7.5	Co_68.8Al_10.8W_9.9Ni_10.5	0.3593	0.1324

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表 3 合金化组元与基体组元Co之间的混合焓$\Delta H$ (单位: kJ/mol)及在$\gamma / \gamma′ $两相中的配分系数(${K_x} = {C_x}^{\gamma′}/{C_x}^\gamma $)^{[9,10,40-42,44-52]}

Table 3. Heats of mixing $\Delta H$ (unit: kJ/mol) between alloying elements and matrix element Co and their partition coefficients (${K_x} = {C_x}^{\gamma′ }/$${C_x}^\gamma $) for $\gamma$ and $\gamma′$^{[9,10,40-42,44-52]}

元素分类	合金化元素	混合焓 $\Delta H$/kJ·mol	元素配分系数K
${\overline {{\rm{Co}}} ^{\gamma }}$	Cr	–4	0.48—0.60
	Fe	–1
	Re	2
${\overline {{\rm{Co}}} ^{\gamma′ }}$	Ni	–2	1.08—1.27
	Ru	–1
	Ir	–3
Al	Al	–19	0.93—1.60
${\overline {\rm{W}} }$	W	–1	1.03—6.21
${\overline {\rm{W}} }$	Mo	–5	1.03—6.21
${\overline {{\rm{Ta}}} }$	V	–14	1.57—8.67
	Ta	–24
	Nb	–25
	Ti	–28
	Sc	–30
	Hf	–35

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表 4 Co-Al-W基多元合金的团簇成分式, 所列成分源自文献[2-4, 6, 8, 10, 39, 40-42, 44, 45, 48, 51, 57-62]

Table 4. Compositions formulas of Co-Al-W-base multi-element superalloys. The alloy compositions are taken from references [2-4, 6, 8, 10, 39, 40-42, 44, 45, 48, 51, 57-62]

合金成分/at.%	团簇成分式-[团簇](连接原子)₃	连接原子
Co₇₈Al₁₀W₁₀Ta₂	[Al-Co₁₂]Co_0.5Al_0.6W_1.6Ta_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.5}{\rm{A}}{{\rm{l}}_{0.6}}{\overline {\rm{W}} _{1.6}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₇₈Al₉W₁₀Mo₃	[Al-Co₁₂]Co_0.5Al_0.4W_1.6Mo_0.5	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.5}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{2.1}}$
Co₇₉Al₉W₁₀Ti₂	[Al-Co₁₂]Co_0.6Al_0.4W_1.6Ti_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.6}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₇₉Al₉W₁₀V₂	[Al-Co₁₂]Co_0.6Al_0.4W_1.6V_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.6}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₇₉Al₉W₁₀Si₂	[Al-Co₁₂]Co_0.6Al_0.4W_1.6Si_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.6}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₇₉Al₉W₈Ta₂Nb₂	[Al-Co₁₂]Co_0.6Al_0.4W_1.3Ta_0.3Nb_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.3}}{\overline {{\rm{Ta}}} _{0.6}}$
Co₇₉Al₉W₈Ta₂V₂	[Al-Co₁₂]Co_0.6Al_0.4W_1.3Ta_0.3V_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.3}}{\overline {{\rm{Ta}}} _{0.6}}$
Co₇₉Al₈W₉Ta₂Ti₂	[Al-Co₁₂]Co_0.6Al_0.3W_1.4Ta_0.3Ti_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\rm{A}}{{\rm{l}}_{0.3}}{\overline {\rm{W}} _{1.4}}{\overline {{\rm{Ta}}} _{0.6}}$
Co_79.5Al_9.7W_10.8	[Al-Co₁₂]Co_0.7Al_0.6W_1.7	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.7}{\rm{A}}{{\rm{l}}_{0.6}}{\overline {\rm{W}} _{1.7}}$
Co_79.9Al_9.4W_10.7	[Al-Co₁₂]Co_0.8Al_0.5W_1.7	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\rm{A}}{{\rm{l}}_{0.5}}{\overline {\rm{W}} _{1.7}}$
Co₈₀Al₉W₁₁	[Al-Co₁₂]Co_0.8Al_0.4W_1.8	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.8}}$
Co₈₀Al₉W₉Ti₂	[Al-Co₁₂]Co_0.8Al_0.4W_1.4Ti_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₈₀Al₉W₉V₂B_0.04	[Al-Co₁₂]Co_0.8Al_0.4W_1.4V_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₈₀Al₉W₉Ta₂	[Al-Co₁₂]Co_0.8Al_0.4W_1.4Ta_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}{\overline {{\rm{Ta}}} _{0.3}}$
Co_80.3Al_9.3W_10.4	[Al-Co₁₂]Co_0.8Al_0.5W_1.7	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\rm{A}}{{\rm{l}}_{0.5}}{\overline {\rm{W}} _{1.7}}$
Co_80.5Al₉W₁₀Si_0.5	[Al-Co₁₂]Co_0.9Al_0.4W_1.6Si_0.1	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.9}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.6}}{\overline {{\rm{Ta}}} _{0.1}}$
Co₈₁Al₉W₉Mo₁B_0.04	[Al-Co₁₂]Co_1.0Al_0.4W_1.4Mo_0.2	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.0}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.6}}$
Co₈₁Al₉W₈Ta₂	[Al-Co₁₂]Co_1.0Al_0.4W_1.3Ta_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.0}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.3}}{\overline {{\rm{Ta}}} _{0.3}}$
Co_81.3Al_9.2W_9.5	[Al-Co₁₂]Co_1.0Al_0.5W_1.5	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.0}{\rm{A}}{{\rm{l}}_{0.5}}{\overline {\rm{W}} _{1.5}}$
Co_81.5Al₉W₉Nb_0.5	[Al-Co₁₂]Co_1.0Al_0.4W_1.4Nb_0.1	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.0}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}{\overline {{\rm{Ta}}} _{0.1}}$
Co_81.5Al₉W_5.5Ta₂Mo₂	[Al-Co₁₂]Co_1.0Al_0.4W_0.9Ta_0.3Mo_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.0}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.2}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₈₂Al₉W₉	[Al-Co₁₂]Co_1.1Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.1}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co₇₂Al₉W₉Ni₁₀	[Al-Co_11.7Ni_0.3]Ni_1.1Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.1}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co₈₂Al₉W_7.5Mo_1.5	[Al-Co₁₂]Co_1.1Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.1}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co₈₀Al₉W₉Cr₂B_0.04	[Al-Co₁₂]Co_0.8Cr_0.3Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.8}{\overline {{\rm{Co}}} ^\gamma }_{0.3}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.6}}$
Co₇₈Al₉W₉Cr₄	[Al-Co₁₂]Co_0.6Cr_0.6Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\overline {{\rm{Co}}} ^\gamma }_{0.6}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co₇₃Al₉W₉Ni₉	[Al-Co_11.7Ni_0.3]Ni_1.1Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.1}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co₆₄Al₉W₉Ni₁₈	[Al-Co_10.2Ni_1.8]Ni_1.1Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.1}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co_81.8Al_9.2W₉	[Al-Co₁₂]Co_1.1Al_0.5W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.1}{\rm{A}}{{\rm{l}}_{0.5}}{\overline {\rm{W}} _{1.4}}$
Co_72.5Al₁₀W_7.5Ni₁₀	[Al-Co_11.6Ni_0.4]Ni_1.2Al_0.4W_1.4	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.2}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.4}}$
Co_81.5Al₉W_5.5Ta₂Ir₂	[Al-Co₂]Co_1.0Al_0.4W_0.9Ta_0.3Ir_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{1.3}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{0.9}}{\overline {{\rm{Ta}}} _{0.3}}$
Co₇₉Al₉W₈Ta₂Cr₂	[Al-Co₁₂]Co_0.6Cr_0.3Al_0.4W_1.3Ta_0.3	${\overline {{\rm{Co}}} ^{\gamma′ }}_{0.6}{\overline {{\rm{Co}}} ^\gamma }_{0.3}{\rm{A}}{{\rm{l}}_{0.4}}{\overline {\rm{W}} _{1.3}}{\overline {{\rm{Ta}}} _{0.3}}$

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表 5 部分Co-Al-W基高温合金中$\gamma $和$\gamma′ $两相团簇式^{[40,42,44,45]}

Table 5. Composition formulas of $\gamma $ and $\gamma′ $ phases in some Co-Al-W-base superalloys^{[40,42,44,45]}

合金成分/at.%	$\gamma $相团簇成分式	$\gamma′ $相团簇成分式
Co₈₂Al₉W₉	[Al-Co₁₂]Co_1.6Al_0.4W_1.0	[Al-Co₁₂]Co_0.3Al_0.5W_2.2
Co₇₈Al₉W₉Cr₄	[Al-Co₁₂]Co_0.9Al_0.3W_0.9Cr_0.9	[Al-Co₁₂]Co_0.2Al_0.5W_1.8Cr_0.5
Co₇₃Al₉W₉Ni₁₈	[Al-Co_11.1Ni_0.9]Al_0.1W_1.1Ni_1.8	[Al-Co_9.4Ni_2.6]Al_0.7W_1.8Ni_0.5
Co_79.5Al_9.7W_10.8	[Al-Co₁₂]Co_1.7Al_0.4W_0..9	[Al-Co₁₂]Co_0.4Al_0.6W_2.0
Co₈₀Al₉W₉Ti₂	[Al-Co₁₂]Co_1.6Al_0.4W_0.8Ti_0.2	[Al-Co₁₂]Co_0.2Al_0.4W_1.9Ti_0.4
Co₈₀Al₉W₉Ta₂	[Al-Co₁₂]Co_1.8Al_0.4W_0.7Ta_0.1	[Al-Co₁₂]Co_0.2Al_0.4W_1.9Ta_0.5
Co₇₉Al₈W₉Ta₂Ti₂	[Al-Co₁₂]Co_2.0Al_0.3W_0.5Ta_0.04Ti_0.1	[Al-Co₁₂]Co_0.1Al_0.4W_1.9Ta_0.3Ti_0.3
Co₇₈Al₁₀W₁₀Ta₂	[Al-Co₁₂]Co_1.6Al_0.7W_0.7Ta_0.1	[Al-Co₁₂]Al_0.7W_1.9Ta_0.4
Co₇₈Al₉W₁₀Mo₃	[Al-Co₁₂]Co_1.7Al_0.1W_0.8Mo_0.4	[Al-Co₁₂]Co_0.2Al_0.6W_1.7Mo_0.5

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[1]	Sims C T, Hagel W C 1972 The Superalloys (New York: John Wiley & Sons) p1
[2]	Sato J, Omori T, Oikawa K, Ohnuma I, Kainuma R, Ishida K 2006 Science 312 90 Google Scholar
[3]	Suzuki A, Pollock T M 2008 Acta Mater. 56 1288 Google Scholar
[4]	Bauer A, Neumeiera S, Pyczakb F, Singer R F, Göken M 2012 Mater. Sci. Eng. 550 333 Google Scholar
[5]	Klein L, Shen Y, Killian M S, Virtanen S 2011 Corros. Sci. 53 2713 Google Scholar
[6]	Ooshima M, Tanaka K, Okamoto N L, Kishida K, Inui H 2010 J. Alloys Compd. 508 71 Google Scholar
[7]	Chen M, Wang C Y 2009 Scr. Mater. 60 659 Google Scholar
[8]	Bauer A, Neumeier S, Pyczakc F, Göken M 2010 Scr. Mater. 63 1197 Google Scholar
[9]	Kobayashi S, Tsukamoto Y, Takasugi T 2012 Intermetallics 31 94 Google Scholar
[10]	Meher S, Yan H Y, Nag S, Dye D, Banerjee R 2012 Scr. Mater. 67 850 Google Scholar
[11]	Morinaga M, Yukawa N, Ezaki H, Adachi H 1984 Superalloys (Warrendale, PA: The Metallurgical Society of AIME) p523
[12]	张继山, 崔华, 胡壮麟, 村田纯教, 森永正彦, 汤川夏夫 1993 金属学报 29 289 Google Scholar Zhang J S, Cui H, Hu Z L, Murata Y, Morinaga M, Yukawa N 1993 Acta Metall. Sin. 29 289 Google Scholar
[13]	Dong C, Wang Q, Qiang J B, Wang Y M, Jiang N, Han G, Li Y H, Wu J, Xia J H 2007 J. Phys. D: Appl. Phys. 40 R273 Google Scholar
[14]	Han G, Qiang J B, Li F W, Yuan L, Quan S G, Wang Q, Wang Y M, Dong C, Häussler P 2011 Acta Mater. 59 5917 Google Scholar
[15]	Luo L J, Chen H, Wang Y M, Qiang J B, Wang Q, Dong C, Häussler P 2014 Philos. Mag. 94 2520 Google Scholar
[16]	张宇, 王清, 董红刚, 董闯, 张洪宇, 孙晓峰 2017 金属学报 54 591 Google Scholar Zhang Y, Wang Q, Dong H G, Dong C, Zhang H Y, Sun X F 2017 Acta Metall. Sin. 54 591 Google Scholar
[17]	Bragg W L, Williams E J 1934 Proc. R. Soc. London, Ser. A 151 699
[18]	Williams E 1935 Proc. R. Soc. London, Ser. A 152 231 Google Scholar
[19]	Bethe H 1935 Proc. R. Soc. London, Ser. A 150 552 Google Scholar
[20]	Cowly J 1950 Phys. Rev. 77 669 Google Scholar
[21]	Cowly J 1960 Phys. Rev. 120 1648 Google Scholar
[22]	Cowly J 1965 Phys. Rev. 138 A1384 Google Scholar
[23]	Chen H, Wang Q, Wang Y M, Qiang J B, Dong C 2010 Philos. Mag. 90 3935 Google Scholar
[24]	Chen H, Wang Q, Wang Y M, Wang Y, Dong C 2011 Isr. J. Chem. 51 1226 Google Scholar
[25]	Wang Y, Wang Q, Zhao J, Dong C 2010 Scr. Mater. 63 178 Google Scholar
[26]	Yuan L, Pang C, Wang Y M, Wang Q, Qiang J B, Dong C 2010 Intermetallics 18 1800 Google Scholar
[27]	Li F W, Qiang J B, Wang Q, Wang Y M, Dong X L, Dong C, Zhu S J 2012 Intermetallics 30 86 Google Scholar
[28]	Wang Z R, Dong D D, Qiang J B, Wang Q, Wang Y M, Dong C 2013 Sci. China: Phys. Mech. Astron. 56 1419 Google Scholar
[29]	Wang Q, Zhu C L, Li Y H, Wu J, Dong C, Qiang J B, Zhang W, Inoue A 2007 Mater. Sci. Forum 561−565 1275 Google Scholar
[30]	谷俊杰 2011 硕士学位论文 (大连: 大连理工大学) Gu J J 2011 M. S. Thesis (Dalian: Dalian University of Technology) (in Chinese)
[31]	Wang Q, Li Q, Li X N, Zhang R Q, Gao X X, Dong C, Liaw P K 2015 Metall. Mater. Trans. A 46 3924 Google Scholar
[32]	王清, 查钱锋, 刘恩雪, 董闯, 王学军, 谭朝鑫, 龚春俊 2012 金属学报 48 1201 Google Scholar Wang Q, Zha Q F, Liu E X, Dong C, Wang X J, Tan C X, Gong C J 2012 Acta Metall. Sin. 48 1201 Google Scholar
[33]	马仁涛, 郝传璞, 王清, 任明法, 王英敏, 董闯 2010 金属学报 46 1034 Google Scholar Ma R T, Hao C P, Wang Q, Ren M F, Wang Y M, Dong C 2010 Acta Metall. Sin. 46 1034 Google Scholar
[34]	董丹丹 2017 博士学位论文 (大连: 大连理工大学) Dong D D 2017 Ph. D. Dissertation (Dalian: Dalian University of Technology) (in Chinese)
[35]	董闯, 董丹丹, 王清 2018 金属学报 54 293 Google Scholar Dong C, Dong D D, Wang Q 2018 Acta Metall. Sin. 54 293 Google Scholar
[36]	Hong H L, Wang Q, Dong C 2015 Sci. China: Mater. 58 355 Google Scholar
[37]	Hong H L, Wang Q, Dong C, Liaw P K 2014 Sci. Rep. 4 7065 Google Scholar
[38]	洪海莲, 董闯, 王清, 张宇, 耿遥祥 2016 65 036101 Google Scholar Hong H L, Dong C, Wang Q, Zhang Y, Geng Y X 2016 Acta Phys. Sin. 65 036101 Google Scholar
[39]	Pearson W B 1973 J. Appl. Cryst. 6 306 Google Scholar
[40]	Pyczak F, Bauer A, Göken M, Lorenz U, Neumeier S, Oehring M, Paul J, Schell N, Schreyer A, Stark A, Symanzik F 2015 J. Alloys Compd. 632 110 Google Scholar
[41]	Povstugar I, Zenk C H, Li R, Choi P P, Neumeier S, Dolotko O, Hoelzel M, Göken M, Raabe D 2016 Mater. Sci. Technol. 32 220 Google Scholar
[42]	Shinagawa K, Omori T, Sato J, Oikawa K, Ohnuma I, Kainuma R, Ishida K 2008 Mater. Trans. 49 1474 Google Scholar
[43]	Wang Y J, Wang C Y 2009 Appl. Phys. Lett. 94 261909 Google Scholar
[44]	Bocchini P J, Lass E A, Moon K W, Williams M E, Campbell C E, Kattner U R, Dunand D C, Seidman D N 2013 Scr. Mater. 68 563 Google Scholar
[45]	Povstugar I, Choi P P, Neumeier S, Bauer A, Zenk C H, Göken M, Raabe D 2014 Acta Mater. 78 78 Google Scholar
[46]	Meher S, Banerjee R 2014 Intermetallics 49 138 Google Scholar
[47]	Lass E A, Williams M E, Campbell C E, Moon K W, Kattner U R 2014 J. Phase Equilib. Diffus. 35 711 Google Scholar
[48]	Zhong F, Li S S, Sha J B 2015 Mater. Sci. Eng. A 637 175 Google Scholar
[49]	Sauza D J, Bocchini P J, Dunand D C, Seidman D N 2016 Acta Mater. 117 135 Google Scholar
[50]	Zhou H J, Xue F, Chang H, Feng Q 2018 J. Mater. Sci. Technol. 34 799 Google Scholar
[51]	Takeuchi A, Inoue A 2005 Mater. Trans. 46 2817 Google Scholar
[52]	Shinagawa K, Omori T, Oikawa K, Kainuma R, Ishida K 2009 Scr. Mater. 61 612 Google Scholar
[53]	Chen M, Wang C Y. 2010 Phys. Lett. A 374 3238 Google Scholar
[54]	Ping D H, Cui C Y, Gu Y F, Harada H 2007 Ultramicroscopy 107 791 Google Scholar
[55]	Makineni S K, Nithin B, Chattopadhyay K 2015 Scr.Mater. 98 36 Google Scholar
[56]	Makineni S K, Samanta A, Rojhirunsakool T, Alam T, Nithin B, Singh A K, Banerjee R, Chattopadhyay K 2015 Acta Mater. 97 29 Google Scholar
[57]	Pollock T M, Dibbern J, Tsunekane M, Suzuki 2010 JOM 62 58 Google Scholar
[58]	Yan H Y, Vorontsov V A, Dye D 2014 Intermetallics 48 44 Google Scholar
[59]	Xue F, Zhou H J, Ding X F, Wang M L, Feng Q 2013 Mater. Lett. 112 215 Google Scholar
[60]	Xue F, Zhou H J, Feng Q 2014 JOM 66 2486 Google Scholar
[61]	Titus M S, Suzuki A, Pollock T M 2012 High Temperature Creep of New L12 Containing Cobalt‐Base Superalloys (New York: John Wiley Sons. Inc.) p823
[62]	Shi L, Yu J J, Cui C Y, Sun X F 2015 Mater. Lett. 149 58 Google Scholar

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