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摘要

Co-Al-W基高温合金具有类似于Ni基高温合金的 $\gamma + \gamma′$ 相组织结构. 根据面心立方固溶体的团簇加连接原子结构模型, Ni基高温合金的成分式即最稳定的化学近程序结构单元可以描述为第一近邻配位多面体团簇加上次近邻的三个连接原子. 本文应用类似方法, 首次给出了. 利用原子半径和团簇共振模型, 可计算出Co-Al-W三元合金的团簇成分通式, 为[Al-Co ₁₂](Co,Al,W) ₃, 即以Al为中心原子、Co为壳层原子的[Al-Co ₁₂]团簇加上三个连接原子. 对于多元合金, 需要先将元素进行分类: 溶剂元素—类Co元素 $\overline {{\rm{Co}}} $ (Co, Cr, Fe, Re, Ni, Ir, Ru)和溶质元素—类Al元素 $\overline {{\rm{Al}}} $ (Al, W, Mo, Ta, Ti, Nb, V等); 进而根据合金元素的配分行为, 将类Co元素分为 ${\overline {{\rm{Co}}} ^\gamma }$ (Cr, Fe, Re)和 ${\overline {{\rm{Co}}} ^{\gamma′}}$ (Ni, Ir, Ru); 根据混合焓, 将类Al元素分为Al, $\overline {\rm{W}} $ (W, Mo)和 $\overline {{\rm{Ta}}} $ (Ta, Ti, Nb, V等). 由此, 任何多元Co-Al-W基高温合金均可简化为 $\overline {{\rm{Co}}} \text{-} \overline {{\rm{Al}}} $ 伪二元体系或者 $\overline {{\rm{Co}}} \text{-} {\rm{Al}} \text{-}\left( {\overline {\rm{W}}, \overline {{\rm{Ta}}} } \right)$ 伪三元体系, 其团簇加连接原子成分式为 $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]$ $\left( {{{\overline {{\rm{Co}}} }_{1.0}}{{\overline {{\rm{Al}}} }_{2.0}}} \right)$ (或 $\left[ {{\rm{Al}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{1.0}}{\rm{A}}{{\rm{l}}_{0.5}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{1.5}}$ = ${\overline {{\rm{Co}}} _{81.250}}{\rm{A}}{{\rm{l}}_{9.375}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{9.375}}$ at.%). 其中, ${\gamma }$ 与 ${\gamma′}$ 相的团簇成分式分别为 $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]\!\left( {{{\overline {{\rm{Co}}} }_{1.5}}{{\overline {{\rm{Al}}} }_{1.5}}} \right)$ (或 $\left[ {{\rm{Al}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{1.5}}{\rm{A}}{{\rm{l}}_{0.5}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{1.0}}$ = ${\overline {{\rm{Co}}} _{84.375}}{\rm{A}}{{\rm{l}}_{9.375}}$ ${\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{6.250}}$ at.%)和 $\left[ {\overline {{\rm{Al}}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]\left( {{{\overline {{\rm{Co}}} }_{0.5}}{{\overline {{\rm{Al}}} }_{2.5}}} \right)$ (或 $\left[ {{\rm{Al}} \text{-} {{\overline {{\rm{Co}}} }_{12}}} \right]{\overline {{\rm{Co}}} _{0.5}}{\rm{A}}{{\rm{l}}_{0.5}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{2.0}}$ = $ {\overline {{\rm{Co}}} _{78.125}}{\rm{A}}{{\rm{l}}_{9.375}}{\left( {\overline {\rm{W}},\overline {{\rm{Ta}}} } \right)_{12.500}}$ at.%). 例如, Co ₈₂Al ₉W ₉合金的团簇成分式为[Al-Co ₁₂]Co _1.1Al _0.4W _1.4(～[Al-Co ₁₂]Co _1.0Al _0.5W _1.5), 其中 ${\gamma }$ 相的团簇成分式为[Al-Co ₁₂]Co _1.6Al _0.4W _1.0(～[Al-Co ₁₂]Co _1.5Al _0.5W _1.0), ${\gamma′}$ 相的团簇成分式为[Al-Co ₁₂]Co _0.3Al _0.5W _2.2(～[Al-Co ₁₂]Co _0.5Al _0.5W _2.0).

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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-Co ₁₂](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 Co ₈₂Al ₉W ₉and its $\gamma $ and $\gamma′ $ phases are formulated respectively as [Al-Co ₁₂]Co _1.1Al _0.4W _1.4(～ [Al-Co ₁₂]Co _1.0Al _0.5W _1.5), [Al-Co ₁₂]Co _1.6Al _0.4W _1.0(～ [Al-Co ₁₂]Co _1.5Al _0.5W _1.0), and [Al-Co ₁₂]Co _0.3Al _0.5W _2.2(～[Al-Co ₁₂]Co _0.5Al _0.5W _2.0).

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作者及机构信息

通信作者:董闯,dong@dlut.edu.cn

基金项目:国家自然科学基金航空重大研究计划培育项目(批准号: 91860108)和国家自然科学基金(批准号: 11674045)资助的课题.

Authors and contacts

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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参考文献

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施引文献

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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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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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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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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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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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