Experimental investigations of the Co–Ni–Ti system: Liquidus surface projection and isothermal section at 1373 K

Experimental investigations of the Co–Ni–Ti system: Liquidus surface projection and isothermal section at 1373 K

Accepted Manuscript Experimental investigations of the Co–Ni–Ti system: Liquidus surface projection and isothermal section at 1373�K Chenyang Zhou, Cu...

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Accepted Manuscript Experimental investigations of the Co–Ni–Ti system: Liquidus surface projection and isothermal section at 1373�K Chenyang Zhou, Cuiping Guo, Jingbo Li, Changrong Li, Zhenmin Du PII:

S0925-8388(18)31576-7

DOI:

10.1016/j.jallcom.2018.04.253

Reference:

JALCOM 45891

To appear in:

Journal of Alloys and Compounds

Received Date: 2 January 2018 Revised Date:

16 April 2018

Accepted Date: 21 April 2018

Please cite this article as: C. Zhou, C. Guo, J. Li, C. Li, Z. Du, Experimental investigations of the Co– Ni–Ti system: Liquidus surface projection and isothermal section at 1373�K, Journal of Alloys and Compounds (2018), doi: 10.1016/j.jallcom.2018.04.253. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Experimental investigations of the Co–Ni–Ti system: liquidus surface projection and isothermal section at 1373 K Chenyang Zhoua, Cuiping Guoa, Jingbo Lib, Changrong Lia, Zhenmin Dua* Department of Materials Science and Engineering, University of Science and

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a

Technology Beijing, Beijing 100083, P.R. China b

School of Materials Science and Engineering, Beijing Institute of Technology,

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Beijing 100081, P.R. China

Abstract: The liquidus surface projection and isothermal section at 1373 K of the Co–Ni–Ti system have been established by using the methods of scanning electron microscopy (SEM) with energy dispersive X-ray spectroscopy (EDX),

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powder X-ray diffraction (PXRD), and differential thermal analysis (DTA). 9 primary solidification regions and 6 ternary invariant reactions were deduced in the liquidus surface projection. 7 three-phase regions and 16 two-phase regions

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were derived in the isothermal section at 1373 K. Besides, the PXRD results

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indicated that the ternary compound τ with Co3V-structure existed in both liquidus surface projection and isothermal section at 1373 K. The ternary compound τ formed the extended primary field in the centre of the liquidus surface projection and its homogeneity ranges of Co in the isothermal section were measured to be from 34 to 51 at.%. The present experimental results could be used as guidance to practical applications and input to future thermodynamic assessments.

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Keywords: Phase diagram; Liquidus surface projection; Isothermal section;

*Corresponding author at: Tel./Fax: +86 10 62333772

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E-mail address: [email protected] (Z. Du).

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Co–Ni–Ti system

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1. Introduction In recent years, the Co–Ni–Ti system has attracted increasing attention of different researchers owing to its technological importance:

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superalloys [1, 2], shape memory alloys [3], high-entropy alloys [4-6], permanent magnets [7, 8]. The addition of titanium can improve the

formation of the γ' phase and increase the strength at high temperature of

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the Co- and Ni-based superalloys. The addition of cobalt can enhance the

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corrosion resistance in the Ni–Ti shape memory alloys. The cobalt, nickel, and titanium are also the principal elements in high-entropy alloys. For strengthening the Co- and Ni-based superalloys [9], homogenization annealing should be carried out around 1373 K and above, so the

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solidification paths of the as-cast alloys and phase equilibria relations at 1373 K are very meaningful.

It is well known that phase diagram is a basic guidance for selection of

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the alloy compositions, the route of heat treatment, etc., which can reduce

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the development time of new materials. In order to facilitate future thermodynamic modeling and material research and development, the experimental determination of phase diagram is essential. In the current work, the liquidus surface projection and isothermal section at 1373 K are constructed by a combination of SEM/EDX, PXRD, and DTA techniques.

2. Literature review -1-

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2.1 Binary systems The Co–Ni system was relatively simple without any intermediate phase and the available experiment information was summarized by

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Nishizawa and Ishida [10] and then revised by Predel [11]. Guillermet [12] performed a thermodynamic assessment of the Co–Ni system, which was accepted in the present work.

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The Co–Ti phase diagram was assessed by Murray [13], in which four

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terminal solution phases αCo, εCo, βTi and αTi, and five intermetallic compounds Co3Ti, γCo2Ti, βCo2Ti, CoTi and CoTi2 were included. Subsequently, Davydov et al. [14] re-determined the temperature of the congruent melting for the CoTi phase and re-assessed the Co–Ti system.

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Therefore, the Co–Ti phase diagram updated by Davydov et al. [14] was adopted in the current work.

Murray [15] reviewed the phase equilibria and thermochemical

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properties of the Ni–Ti system. The Ni–Ti phase diagram was made up of

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three disordered solution phases γNi, βTi and αTi, and three intermediate compounds Ni3Ti, NiTi and NiTi2. Several thermodynamic assessments of the Ni–Ti system were available [16–24], in which the work of Keyzer et al. [22] showed good agreement with experimental data and was widely used in the multicomponent system, and thus was accepted in the present work. The phase diagrams for three binary systems Co–Ni [12], Co–Ti [14], -2-

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and Ni–Ti [22] adopted in this study are shown in Fig. 1a-c.

2.2 Ternary system

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The vertical section at the CoTi–NiTi joint was determined using hardness, XRD, density and thermal analysis by Kornilov et al. [25],

which was the first experimental information on the Co–Ni–Ti system.

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Using diffusion couples and electron probe microanalysis (EPMA), the

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isothermal sections at 1073, 1173, and 1273 K were investigated by Gryzunov et al. [26–28]. They confirmed a complete solid solution between the phases Co3Ti and Ni3Ti. Furthermore, they also reported the three-phase regions between the phases NiTi, Co2Ti, and Co3Ti, but not

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separated the two phases βCo2Ti and γCo2Ti.

Loo and Bastin [29] measured the isothermal section at 1173 K using diffusion couples and equilibrated alloys by means of the optical analysis,

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EPMA and XRD methods and reported a very narrow phase boundary

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between the phases Ni3Ti and τ. Du et al. [30] used same method as [29] to investigate the isothermal section at 1123 K, but the ternary compound τ was not found. Based on the above experimental data [25–30], the Co–Ni–Ti system was reviewed concretely by Gupta [31]. Recently, Riani et al. [32] critically reviewed and re-determined the Co–Ni–Ti system at 1173 K using equilibrated alloys by means of SEM/EDS, XRD techniques, which was in good consistency with the -3-

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work of Loo and Bastin [29]. Besides, they confirmed that the ternary compound τ had a large solubilities and was stable down to 773 K. The crystallographic data of the binary and ternary systems [29, 33–43]

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are listed in Table 1.

3. Experimental methods

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3.1 Samples preparation

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Cobalt (99.99 wt.%), Nickel (99.99 wt.%) and Titanium (99.99 wt.%) were used as starting materials in the present work. The proper amounts of the elements about 5g were prepared on a water-cooled copper hearth in the arc-furnace (MTI MSM20-7) in an argon atmosphere (99.998%

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purity) with a non-consumable tungsten electrode and a tantalum piece as oxygen getter. To improve the homogeneity, every sample was turned around and melted at least five times. Then, the arc-melted buttons were

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cut into several pieces for different purposes.

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Some samples were homogenized at 1373 K for 500 h (Alloys B1 and B2 for 30 h) in evacuated quartz capsules (6 × 10-2 Pa). In the process of annealing, a chamber furnace (MTI KSL-1400) with a temperature accuracy of ± 1 K was used. After heat treatment, the annealed samples were quenched in water.

3.2 SEM/EDX analysis -4-

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Before microstructural characterization, all samples were polished and partial samples were etched in a chemical solution (H2O: HCl: H2O2 = 3: 2: 1) at room temperature for 5–10 s. The phases and element

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distributions of the as-cast samples were studied using SEM (Carl Zeiss EVO 18) in combination with EDX (Bruker Quantax EDS), and that of the annealed samples were performed by SEM (Carl Zeiss LEO 1450)

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equipped with EDX (Thermo Scientific UltraDry EDS). The same

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acceleration voltage of 20 kV was applied. In order to increase the precision of the composition measurements, 3–5 points or areas were analysed for each phase.

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3.3 PXRD analysis

PXRD analysis was carried out using X-ray diffractometer (Rigaku Ultima IV) with Cu-Kα radiation at 40 kV and 40 mA and a Ni-crystal

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monochromator. Diffraction patterns were generally acquired in a scan

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step 0.02° of over a 2θ range 20–90°. Before analysis, powder samples were annealed in evacuated quartz capsules (6 × 10-2 Pa) at 873 K during 2 h. Phase identification and crystal structure refinement were conducted with Jade 5.0 [44] and FullProf [45].

3.4 DTA analysis The reaction temperatures of all as-cast samples and partial annealed -5-

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samples were determined by DTA (TA Instruments, SDT-Q600) using Al2O3 crucibles and Pt/Pt-13%Rh string thermocouples. The DTA measurements were performed with heating and cooling rates of 10 K

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min-1 under argon atmosphere (99.998% purity). The certified standards of pure metal Al, Ag and Cu were used for the calibration, and an

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accuracy of ±1 K for the measured temperatures was obtained.

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4. Results and discussion 4.1 Liquidus surface projection

For the construction of the liquidus surface projection of the Co–Ni–Ti system, 35 alloys are prepared. The microstructure analyses and phase

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compositions of the as-cast Co–Ni–Ti alloys are presented in Table 2. In addition, their solidification paths and corresponding reaction temperatures are also given in Table 3.

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In case of the BSE micrograph and PXRD patterns of the alloy A2, a

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fully eutectic microstructure αTi + (Co,Ni)Ti2 is identified (Fig. 2a-b). A divorced eutectic microstructure is also observed in the alloy A6, but the PXRD results only support the existence of the two phases (Co,Ni)Ti2 and (Co,Ni)Ti, which is probably due to < 5 at.% content of the black phase (Fig. 2c-d). Therefore, the DTA analysis is used to help identifying the final state of the black phase. On the basis of the DTA results (Table 3), we can conclude that the eutectoid reaction βTi → αTi + (Co,Ni)Ti2 -6-

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does not happen and the black phase is βTi in the alloy A6. The alloys A12 and A14 are located in the primary solidification region (Co,Ni)Ti (Fig. 3a–b). Unlike the alloy A12, the PXRD patterns confirm

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the existence of the additional phase Co3Ti in the alloy A14 (Fig. 3c). Therefore, the eutectic microstructure of the alloy A14 is regarded as βCo2Ti + Co3Ti in the present work.

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It should be noted that βCo2Ti with MgCu2-structure is difficult to be

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distinguished from γCo2Ti with MgNi2-structure using the PXRD technique. Thus, the primary phases of the alloy A21 and A27 are judged by the morphology and composition analyses. The morphologies of the alloys A21 and A27 are different, and the EDX results also support that

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the alloy A21 is situated in the primary solidification βCo2Ti (31 at.% Ti), while the alloy A27 is located in the primary solidification γCo2Ti (28 at.% Ti) (Fig. 4a and c and Table 2). Furthermore, the PXRD analyses of

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the alloys A21 and A27 definitely confirm the existence of γCo2Ti and

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Co3Ti and so their eutectic microstructures of the alloys A21 and A27 are considered to be γCo2Ti + Co3Ti (Fig. 4b and d). As shown in the BSE micrographs of the alloys A17–A19, their

primary phase morphologies look the same (Fig. 5a-c). But as stated in section 2.2, the new ternary compound τ is likely to exist in the liquidus surface projection. In order to confirm the stability of the phase τ and distinguish the phases Ni3Ti and τ, a series of the powder samples are -7-

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used for XRD measurements. According to the PXRD results, the phase τ with Co3V-structure has been identified in the alloys A19 and A22 (Fig. 5d).

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In case of the BSE micrographs and PXRD patterns of the alloys A30 and A31, both are located in the primary solidification fcc-(Co,Ni) (Fig.

6a-d). The eutectic microstructure of the alloy A30 is fcc-(Co,Ni) + Ni3Ti

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and the black phase surrounding fcc-(Co,Ni) of the alloy A31 is identified

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as Co3Ti. It should be pointed out that the third phase of the alloy A31 is not measured using the PXRD method due to < 5 at.% content. But according to the available experimental results, the eutectic microstructure of the alloy A31 is to be fcc-(Co,Ni) + τ. Subsequently, the

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DTA curves are performed to identify the reaction temperatures (Fig. 7a–b). Liquidus temperatures are clear to be obtained. Two visible peaks with onset at 1538 K on heating and 1532 K on cooling and one weak

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peak (Due to less content of the eutectic microstructure fcc-(Co,Ni) + τ)

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with onset at 1533 K correspond to the three-phase eutectic reaction (liq. ↔ fcc-(Co,Ni) + τ). The rest peaks with onset at 1522 K on heating and 1518 K on cooling should correspond to the ternary peritectic reaction P1 (liq. + fcc-(Co,Ni) + τ ↔ Co3Ti). Also of note is that the two smaller peaks in the alloys 30 and 31 occur mainly due to the slight weight change in the process of the solid-liquid transformation. Table 4 sums up the temperatures and the estimated liquid -8-

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compositions for the ternary invariant reactions in the Co–Ni–Ti system. The predicted liquidus surface projection and complete reaction scheme

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are shown in Figs. 8–9.

4.2 Isothermal section at 1373 K

For the investigation of the isothermal section at 1373 K of the

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Co–Ni–Ti system, 34 alloys are prepared. The constituent phases and

summarized in Table 5.

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their compositions of the Co–Ni–Ti alloys annealed at 1373 K are

Same eutectic microstructures are identified in the alloys B1 and B2 and should be marked as the liquid phase in the present work (Fig.

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10a-b).

Two typical three-phase microstructures (Co,Ni)Ti + βCo2Ti + τ and βCo2Ti + τ + Co3Ti occur in the alloys B9 and B25 (Fig. 11a and c),

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agreeing with their PXRD patterns (Fig. 11b and d). Furthermore, two

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typical two-phase microstructures βCo2Ti + Co3Ti and γCo2Ti + Co3Ti are also observed in the alloy B15 and B16 (Fig. 12a and c), which is in consistence with their PXRD patterns (Fig. 12b and d). The Ni solubilities of Co3Ti (27 at.%) and βCo2Ti (13 at.%) are larger than that of γCo2Ti (5 at.%) in the isothermal section at 1373 K, which is in consistency with the experimental results at 1173 K [29, 32]. However, the γCo2Ti has a larger Ni solubilities (18 at.%) than Co3Ti (6 at.%) and -9-

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βCo2Ti (5 at.%) at 1123 K [30], which maybe need to be re-determined. The alloys annealed at 1373 K B26-B34 have very good strength and toughness and the powder samples are impossible to be obtained.

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Therefore, the analyses of the composition and morphology are adopted for these alloys in this work. In case of the BSE micrographs of alloys B30–B32, the micrograph of the alloy B31 looks like a combination

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between B30 and B32 (Fig. 13a-c). And the EDX analyses of the alloy

fcc-(Co,Ni) (Table 5).

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B31 also show the existence of three-phase microstructures τ + Co3Ti +

As shown in the BSE micrographs of the alloys B11 and B12, only two-phase microstructures can be observed (Fig. 14a and c). It should be

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noted the phases Ni3Ti and τ with hexagonal structure have a similar morphology. The PXRD analyses are used for distinguishing the black phase Ni3Ti in the alloy B11 and τ in the alloy B12 (Fig. 14b and d).

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In Fig. 15, the PXRD patterns of alloys B23 and B24 support the

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presence of the new ternary compound τ with Co3V-structure. A single phase τ is clearly identified in alloy B23, and the lattice parameters are modified to be a = 5.11150 Å and c = 12.49365 Å by the crystal structure refinement, as shown in Fig. 16. Loo and Bastin [29] and Riani et al. [32] found a very narrow two-phase region between Ni3Ti and τ (from 25 to 28 at.% Co) in the isothermal section at 1173 K, which may explain why we do not succeed in finding the two-phase or three-phase equilibrium - 10 -

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related to Ni3Ti and τ simultaneously. On the basis of the present SEM/EDX and PXRD results, we can presume that the two-phase region Ni3Ti + τ is located between 30 and 34 at.% Co at a constant composition

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of 25 at.% Ti. Based on the above experimental results, the isothermal section of the Co–Ni–Ti system at 1373 K is constructed and presented in Fig. 17.

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There are 4 three-phase regions detected, liquid + (Co,Ni)Ti2 + (Co,Ni)Ti,

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(Co,Ni)Ti + βCo2Ti + τ, βCo2Ti + τ + Co3Ti, τ + Co3Ti + fcc-(Co,Ni). 3 three-phase regions (Co,Ni)Ti + Ni3Ti + τ, βCo2Ti + γCo2Ti + Co3Ti, Ni3Ti + τ + fcc-(Co, Ni) can be further inferred. The phases CoTi and NiTi can form a continuous solution (Co, Ni)Ti. The Ni solubilities of the

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phases βCo2Ti, γCo2Ti and Co3Ti are determined to be 13, 5 and 27 at.%, and the Co solubilities of the phase Ni3Ti are measured to be 30 at.%. The

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at.% Co.

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homogeneity ranges of the phase τ were determined to be from 34 to 51

5. Conclusion

The liquidus surface projection and the isothermal section at 1373 K of

the Co–Ni–Ti system have been determined by using SEM/EDX, PXRD and DTA techniques. The whole liquidus surface projection of the Co–Ni–Ti system was proposed, which consisted of 9 primary solidification regions βTi, - 11 -

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(Co,Ni)Ti2, (Co,Ni)Ti, Ni3Ti, τ, βCo2Ti, γCo2Ti, Co3Ti, fcc-(Co,Ni) and 6 ternary invariant reactions U1: liq. + Ni3Ti ↔ fcc-(Co,Ni) + τ, P1: liq. + fcc-(Co,Ni) + τ ↔ Co3Ti, P2: liq. + βCo2Ti + γCo2Ti ↔ Co3Ti, P3: liq. +

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Ni3Ti + τ ↔ (Co,Ni)Ti, U2: liq. + (Co,Ni)Ti ↔ τ + βCo2Ti, E1:liq. + (Co,Ni)Ti ↔ τ + βCo2Ti.

The isothermal section at 1373 K of the Co–Ni–Ti system was

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constructed, which included 7 three-phase regions liquid + (Co,Ni)Ti2 +

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(Co,Ni)Ti, (Co,Ni)Ti + Ni3Ti + τ, (Co,Ni)Ti + βCo2Ti + τ, βCo2Ti + τ + Co3Ti, βCo2Ti + γCo2Ti + Co3Ti, Ni3Ti + τ + fcc-(Co,Ni), τ + Co3Ti + fcc-(Co,Ni).

Both in the liquidus surface and isothermal section at 1373 K, a ternary

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compound τ with Co3V-structure was clearly identified according to the present PXRD results.

It should be pointed out that Co3Ti with Cu3Au-structure was still

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stable after annealed at 1373 K for 500 h and the addition of Ni seemed to

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enhance the high temperature stability of Co3Ti. This was a new phenomenon and further study would be carried out in our future work.

Acknowledgement

This work was supported by the National Key R&D Program of China (Grant No. 2016YFB0701401) and National Natural Science Foundation of China (NSFC) (Grant No. 51771021). - 12 -

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[36] J. Spreadborough, J.W. Christian, The measurement of the lattice expansions and Debye temperatures of titanium and silver by X-ray methods, Proc. Phys. Soc. 74 (1959) 609–615.

[37] R.R. Pawar, V.T. Deshpande, The anisotropy of the thermal expansion of α-titanium, Acta Cryst. 24 (1968) 316–317. [38] Y. Aoki, Magnetic properties of the intermetallic compound with the Cu3Au-type structure in cobalt-titanium alloy system, J. Phys. - 17 -

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Soc. Japan 28 (1970) 1451–1456. [39] P. Duwez, J.L. Taylor, The structure of intermediate phases in alloys of titanium with iron, cobalt, and nickel, Trans. AIME, 188

RI PT

(1950) 1173–1176. [40] H.J. Wallbaum, H. Witte, The crystal structure of TiCo2, Z. Metallkd. 31 (1939) 185–187.

SC

[41] A.E. Dwight. CsCl-type equiatomic phases in binary alloys of

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transition elements, Trans. AIME 215 (1959) 283–286. [42] A.V. Skripov, A.L. Buzlukov, A.V. Soloninin, V.I. Voronin, I.F. Berger, T.J. Udovic, et al., Hydrogen motion and site occupation in Ti2CoHx(Dx): NMR and neutron scattering studies, Phys. B, 392

TE D

(2007) 353–360.

[43] G.A. Yurko, J.W. Barton, J.G. Parr, The crystal structure of Ti2Ni, Acta Cryst. 12 (1959) 909–911.

EP

[44] Jade 5.0, XRD Pattern Processing Materials Data Inc. (1999).

AC C

[45] J. Rodríguez-Carvajal, Recent advances in magnetic structure determination by neutron powder diffraction, Phys. B 192 (1993) 55–69.

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Figure captions

RI PT

Fig. 1a. Co–Ni phase diagram by Guillermet [12].

SC

Fig. 1b. Co–Ti phase diagram by Davydov et al. [14].

M AN U

Fig. 1c. Ni–Ti phase diagram by Keyzer et al. [22].

Fig. 2a. Back-scattered electron (BSE) SEM micrograph of as-cast alloy

TE D

Ni–79Ti–9Co (alloy A2).

Fig. 2b. Powder X-ray diffraction (PXRD) patterns of as-cast alloy

EP

Ni–79Ti–9Co (alloy A2).

AC C

Fig. 2c. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–62Ti–19Co (alloy A6).

Fig. 2d. Powder X-ray diffraction (PXRD) patterns of as-cast alloy Ni–62Ti–19Co (alloy A6).

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Fig. 3a. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–41Ti–55Co (alloy A12).

RI PT

Fig. 3b. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–37Ti–52Co (alloy A14).

SC

Fig. 3c. Powder X-ray diffraction (PXRD) patterns of as-cast alloys

M AN U

Ni–41Ti–55Co (alloy A12) and Ni–37Ti–52Co (alloy A14).

Fig. 3d. Result of DTA-analysis of as-cast alloy Ni–37Ti–52Co (alloy

TE D

A14).

Fig. 4a. Back-scattered electron (BSE) SEM micrograph of as-cast alloy

EP

Ni–31Ti–67Co (alloy A21).

AC C

Fig. 4b. Powder X-ray diffraction (PXRD) patterns of as-cast alloy Ni–31Ti–67Co (alloy A21).

Fig. 4c. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–25Ti–75Co (alloy A27).

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Fig. 4d. Powder X-ray diffraction (PXRD) patterns of as-cast alloy Ni–25Ti–75Co (alloy A27).

RI PT

Fig. 5a. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–34Ti–30Co (alloy A17).

SC

Fig. 5b. Back-scattered electron (BSE) SEM micrograph of as-cast alloy

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Ni–34Ti–39Co (alloy A18).

Fig. 5c. Back-scattered electron (BSE) SEM micrograph of as-cast alloy

TE D

Ni–33Ti–48Co (alloy A19).

Fig. 5d. Powder X-ray diffraction (PXRD) patterns of as-cast alloys Ni–33Ti–20Co (alloy A16), Ni–34Ti–30Co (alloy A17), Ni–34Ti–39Co

AC C

EP

(alloy A18), Ni–33Ti–48Co (alloy A19), and Ni–31Ti–49Co (alloy A22).

Fig. 6a. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–19Ti–32Co (alloy A30).

Fig. 6b. Powder X-ray diffraction (PXRD) patterns of as-cast alloy Ni–19Ti–32Co (alloy A30).

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Fig. 6c. Back-scattered electron (BSE) SEM micrograph of as-cast alloy Ni–18Ti–40Co (alloy A31).

RI PT

Fig. 6d. Powder X-ray diffraction (PXRD) patterns of as-cast alloy Ni–18Ti–40Co (alloy A31).

SC

Fig. 7a. Result of DTA-analysis of as-cast alloy Ni–19Ti–32Co (alloy

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A30). I: Heating; II: Cooling.

Fig. 7b. Result of DTA-analysis of as-cast alloy Ni–18Ti–40Co (alloy

TE D

A31). I: Heating; II: Cooling.

Fig. 8. Liquidus surface projection of the Co–Ni–Ti system.

AC C

EP

Fig. 9. Invariant reaction scheme in the Co–Ni–Ti system.

Fig. 10b. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–58Ti–32Co (alloy B2).

Fig. 11a. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–36Ti–50Co (alloy B9).

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Fig. 11b. Powder X-ray diffraction (PXRD) patterns of annealed alloy Ni–36Ti–50Co (alloy B9).

RI PT

Fig. 11c. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–26Ti–52Co (alloy B25).

SC

Fig. 11d. Powder X-ray diffraction (PXRD) patterns of annealed alloy

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Ni–26Ti–52Co (alloy B25).

Fig. 12a. Back-scattered electron (BSE) SEM micrograph of annealed

TE D

alloy Ni–28Ti–61Co (alloy B15).

Fig. 12b. Powder X-ray diffraction (PXRD) patterns of annealed alloy

EP

Ni–28Ti–61Co (alloy B15).

AC C

Fig. 12c. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–27Ti–65Co (alloy B16).

Fig. 12d. Powder X-ray diffraction (PXRD) patterns of annealed alloy Ni–27Ti–65Co (alloy B16).

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Fig. 13a. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–16Ti–50Co (alloy B30).

RI PT

Fig. 13b. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–16Ti–59Co (alloy B31).

SC

Fig. 13c. Back-scattered electron (BSE) SEM micrograph of annealed

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alloy Ni–16Ti–64Co (alloy B32).

Fig. 14a. Back-scattered electron (BSE) SEM micrograph of annealed

TE D

alloy Ni–32Ti–31Co (alloy B11).

Fig. 14b. Powder X-ray diffraction (PXRD) patterns of annealed alloy

EP

Ni–32Ti–31Co (alloy B11).

AC C

Fig. 14c. Back-scattered electron (BSE) SEM micrograph of annealed alloy Ni–32Ti–41Co (alloy B12).

Fig. 14d. Powder X-ray diffraction (PXRD) patterns of annealed alloy Ni–32Ti–41Co (alloy B12).

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Fig. 15. Powder X-ray diffraction (PXRD) patterns of as-cast alloys Ni–25Ti–0Co (alloy B18), Ni–25Ti–10Co (alloy B19), Ni–25Ti–20Co (alloy B20), Ni–25Ti–25Co (alloy B21), Ni–25Ti–30Co (alloy B22),

RI PT

Ni–25Ti–35Co (alloy B23), and Ni–25Ti–40Co (alloy B24).

Fig. 16. Experimental powder X-ray diffraction (PXRD) patterns of

SC

annealed alloy Ni–25Ti–35Co (alloy B23) with the theoretical patterns of

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τ (Co3V-structure).

AC C

EP

TE D

Fig. 17. Isothermal section at 1373 K of the Co–Ni–Ti system.

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Table 1. The crystallographic data of all phases in the Co–Ni–Ti system. Strukturbericht Pearson

Prototype

References









A1

cF4

Fm3m

Cu

[33]

εCo

A3

hP2

P63 /mmc

Mg

[34]

γNi

A1

cF4

Fm3m

Cu

[35]

βTi

A2

cI2

Im3m

W

[36]

αTi

A3

hP2

P63 /mmc

Mg

[37]

Co3Ti

L12

cP4

Pm3m

Cu3Au

[38]

γ-Co2Ti

C36

hP24

P63 /mmc

MgNi2

[39]

β-Co2Ti

C15

cF24

Fd3m

MgCu2

[40]

CoTi

B2

cP2

Pm3m

CsCl

[41]

CoTi2

E93

cF96

Fd3m

NiTi2

[42]

Ni3Ti

D024

hP16

P63 /mmc

Ni3Ti

[33]

NiTi

B2

cP2

Pm3m

CsCl

[41]

NiTi2

E93

cF96

Fd3m

NiTi2

[43]

τ



hP24

P6m2

Co3V

[29]

symbol

liquid



αCo

AC C

EP

TE D

M AN U

designation

RI PT

Space group

SC

Phase

1

ACCEPTED MANUSCRIPT

Alloy

Analysed composition (at.%)

As-cast phases

Primary phase

No.

Co

Ni

Ti

A1

4.20

18.71

77.09

αTi + (Co,Ni)Ti2



A2

9.31

11.38

79.31

αTi + (Co,Ni)Ti2



A3

14.93

7.31

77.76

αTi + (Co,Ni)Ti2



A4

17.45

3.70

78.85

αTi + (Co,Ni)Ti2

A5

9.70

29.89

60.41

A6

19.05

19.09

A7

26.74

A8

RI PT

Table 2. The microstructure analyses and phase compositions of the as-cast Co–Ni–Ti alloys.

Phase composition Co

Ni

Ti













(Co,Ni)Ti + βTi + (Co,Ni)Ti2

61.86

13.08

10.73

A9

Eutectic phases

Eutectic composition Co

Ni

Ti

αTi + (Co,Ni)Ti2









αTi + (Co,Ni)Ti2











αTi + (Co,Ni)Ti2













αTi + (Co,Ni)Ti2







(Co,Ni)Ti

12.23

35.00

52.77

βTi + (Co,Ni)Ti2







(Co,Ni)Ti + βTi + (Co,Ni)Ti2

(Co,Ni)Ti

28.40

18.53

53.07

βTi + (Co,Ni)Ti2







60.18

(Co,Ni)Ti + βTi + (Co,Ni)Ti2

(Co,Ni)Ti

37.36

9.32

53.32

βTi + (Co,Ni)Ti2







48.47

40.80

(Co,Ni)Ti + Ni3Ti

(Co,Ni)Ti

11.93

43.35

44.72

(Co,Ni)Ti + Ni3Ti

7.15

55.74

37.11

20.58

38.86

40.56

(Co,Ni)Ti + Ni3Ti

(Co,Ni)Ti

23.70

31.90

44.40

(Co,Ni)Ti + Ni3Ti

16.49

46.35

37.16

A10

28.58

27.24

44.18

(Co,Ni)Ti + Ni3Ti

(Co,Ni)Ti

29.48

26.21

44.31

(Co,Ni)Ti + Ni3Ti

26.38

35.44

38.18

A11

39.22

20.31

40.47

(Co,Ni)Ti + τ

(Co,Ni)Ti

39.85

15.63

44.52

(Co,Ni)Ti + τ

37.52

24.63

37.85

A12

54.83

4.45

40.72

(Co,Ni)Ti + β-Co2Ti

(Co,Ni)Ti

50.22

6.82

42.96









A13

50.63

13.65

35.72

(Co,Ni)Ti + β-Co2Ti + Co3Ti

(Co,Ni)Ti

48.21

10.18

41.61

β-Co2Ti + Co3Ti

51.98

15.64

32.38

A14

52.32

10.32

37.36

(Co,Ni)Ti + β-Co2Ti + Co3Ti

(Co,Ni)Ti

48.84

8.86

42.30

β-Co2Ti + Co3Ti

54.07

13.93

32.00

A15

9.79

57.22

32.99

Ni3Ti + (Co,Ni)Ti

Ni3Ti

8.71

63.45

27.84

Ni3Ti + (Co,Ni)Ti

10.27

51.54

38.19

A16

19.71

47.24

33.05

Ni3Ti + (Co,Ni)Ti

Ni3Ti

20.36

52.26

27.38

Ni3Ti + (Co,Ni)Ti

18.87

43.04

38.09

AC C

EP

TE D

M AN U

SC



2

30.01

35.90

34.09

Ni3Ti + (Co,Ni)Ti

Ni3Ti

30.02

41.52

28.46

Ni3Ti + (Co,Ni)Ti

29.72

32.53

37.75

A18

37.67

28.73

33.60

Ni3Ti + (Co,Ni)Ti

Ni3Ti

39.15

33.06

27.79

Ni3Ti + (Co,Ni)Ti

37.06

25.68

37.26

A19

47.73

19.76

32.51

τ + (Co,Ni)Ti

τ

48.04

23.71

28.25

τ + (Co,Ni)Ti

46.93

17.42

35.65

A20

58.30

9.54

32.16

β-Co2Ti + Co3Ti

β-Co2Ti

60.14

7.49

32.37

β-Co2Ti + Co3Ti

56.54

11.95

31.51

A21

67.27

1.82

30.91

β-Co2Ti + γ-Co2Ti + Co3Ti

β-Co2Ti

66.24

2.37

31.39

γ-Co2Ti + Co3Ti

73.38

3.03

23.59

A22

49.07

20.35

30.58

τ + (Co,Ni)Ti

τ

A23

60.04

10.78

29.18

β-Co2Ti + Co3Ti



A24

50.55

23.47

25.98

Co3Ti + β-Co2Ti

A25

69.00

5.50

25.50

A26

73.45

1.50

A27

74.55

A28

23.86

30.08

τ + (Co,Ni)Ti

50.00

14.98

35.02







β-Co2Ti + Co3Ti







Co3Ti

47.98

27.04

24.98

Co3Ti + β-Co2Ti

56.64

11.81

31.55

Co3Ti + β-Co2Ti

Co3Ti

69.24

5.91

24.85









25.05

γ-Co2Ti + Co3Ti

γ-Co2Ti

70.25

1.41

28.34

γ-Co2Ti + Co3Ti

74.94

2.10

22.96

0.00

25.45

γ-Co2Ti + Co3Ti

γ-Co2Ti

71.55

0.00

28.45

γ-Co2Ti + Co3Ti

77.07

0.00

22.93

9.87

73.85

16.28

fcc-(Co,Ni) + Ni3Ti

fcc-(Co,Ni)

11.21

73.12

15.67

fcc-(Co,Ni) + Ni3Ti

9.05

70.37

20.58

A29

21.38

62.12

16.50

fcc-(Co,Ni) + Ni3Ti

fcc-(Co,Ni)

22.07

62.74

15.19

fcc-(Co,Ni) + Ni3Ti

17.94

60.53

21.53

A30

32.34

48.98

18.68

fcc-(Co,Ni) + Ni3Ti

fcc-(Co,Ni)

32.47

52.74

14.79

fcc-(Co,Ni) + Ni3Ti

29.25

50.43

20.32

A31

39.86

42.22

17.92

fcc-(Co,Ni) + τ + Co3Ti

fcc-(Co,Ni)

42.95

41.87

15.18

fcc-(Co,Ni) + τ

37.62

41.67

20.71

A32

50.21

33.01

16.78

fcc-(Co,Ni) + Co3Ti

fcc-(Co,Ni)

49.59

36.28

14.13









A33

60.47

23.47

16.06

fcc-(Co,Ni) + Co3Ti

fcc-(Co,Ni)

62.48

23.52

14.00









A34

69.15

14.21

16.64

fcc-(Co,Ni) + Co3Ti

fcc-(Co,Ni)

71.22

15.11

13.67









A35

78.54

4.76

16.70

fcc-(Co,Ni) + Co3Ti

fcc-(Co,Ni)

81.22

5.02

13.76









AC C

EP

M AN U

46.06

TE D

RI PT

A17

SC

ACCEPTED MANUSCRIPT

3

ACCEPTED MANUSCRIPT

Table 3. Reaction temperatures of the as-cast Co–Ni–Ti alloys measured by DTA.

A4 A5

A6

A7

A8

liq. → (Co,Ni)Ti2 + βTi

1242

1242

βTi → (Co,Ni)Ti2 + αTi

1016



liq. → (Co,Ni)Ti2 + βTi

1264

βTi → (Co,Ni)Ti2 + αTi

1007

liq. → (Co,Ni)Ti2 + βTi

1280

βTi → (Co,Ni)Ti2 + αTi

994

liq. → (Co,Ni)Ti2 + βTi

1291

1289

βTi → (Co,Ni)Ti2 + αTi

979



liq. → (Co,Ni)Ti

1574

1578

liq. + (Co,Ni)Ti → (Co,Ni)Ti2

1297



liq. → (Co,Ni)Ti2 + βTi

1236

1244

liq. → (Co,Ni)Ti

1665

1671

liq. + (Co,Ni)Ti → (Co,Ni)Ti2

1302

1291

liq. → (Co,Ni)Ti2 + βTi



1275

liq. → (Co,Ni)Ti

1701

1709

liq. + (Co,Ni)Ti → (Co,Ni)Ti2

1318

1295

liq. → (Co,Ni)Ti2 + βTi



1267

liq. → (Co,Ni)Ti

1431

1436

liq. → (Co,Ni)Ti + Ni3Ti

1424

1430

liq. → (Co,Ni)Ti

1452

1470

liq. → (Co,Ni)Ti + Ni3Ti

1447

1451

A10

liq. → (Co,Ni)Ti

1521

1520

liq. → (Co,Ni)Ti + Ni3Ti

1457

1460

A11

liq. → (Co,Ni)Ti

1490



liq. → (Co,Ni)Ti + τ

1459

1458

A12

liq. → (Co,Ni)Ti

1644

1659

liq. + (Co,Ni)Ti → β-Co2Ti

1495

1491

A13

liq. → (Co,Ni)Ti

1497

1496

liq. + (Co,Ni)Ti → β-Co2Ti



1457

liq. → β-Co2Ti + Co3Ti

1449



RI PT

Cooling

AC C

A9

Heating

SC

A3

Temperature (K)

M AN U

A2

path

TE D

A1

Solidification

EP

Alloy No.

4

1262 –

1276



ACCEPTED MANUSCRIPT 1521

1522

liq. + (Co,Ni)Ti → β-Co2Ti

1472

1468

liq. → β-Co2Ti + Co3Ti

1462

1464

liq. → Ni3Ti

1572

1557

liq. → Ni3Ti + (Co,Ni)Ti

1430

1429

liq. → Ni3Ti

1548

1538

liq. → Ni3Ti + (Co,Ni)Ti

1448

liq. → Ni3Ti

1542

liq. → Ni3Ti + (Co,Ni)Ti

1465

liq. → Ni3Ti

1524

liq. → Ni3Ti + (Co,Ni)Ti

1460

1478

liq. → τ

1508

1505

liq. → τ + (Co,Ni)Ti

1455

1450

liq. → β-Co2Ti

1476

1469

liq. → β-Co2Ti + Co3Ti

1462

1453

liq. → β-Co2Ti

1498

1495

liq. + β-Co2Ti → γ-Co2Ti

1476



liq. → γ-Co2Ti + Co3Ti

1433

1430

liq. → τ

1512

1506

liq. → τ + (Co,Ni)Ti

1455

1485

A23

liq. → β-Co2Ti + Co3Ti

1468

1464

A24

liq. → Co3Ti

1480

1482

liq. → Co3Ti + β-Co2Ti

1448

1447

liq. → Co3Ti

1482

1478

liq. → Co3Ti + β-Co2Ti

1471

1468

liq. → γ-Co2Ti

1468

1469

liq. → γ-Co2Ti + Co3Ti

1439

1439

liq. → γ-Co2Ti

1473

1472

liq. → γ-Co2Ti + Co3Ti

1432

1433

liq. → fcc-(Co,Ni)

1595

1594

liq. → fcc-(Co,Ni) + Ni3Ti

1563

1558

liq. → fcc-(Co,Ni)

1594

1594

liq. → fcc-(Co,Ni) + Ni3Ti

1552

1548

liq. → fcc-(Co,Ni)

1585

1583

A19 A20

A21

A22

AC C

A25

SC

A18

M AN U

A17

TE D

A16

EP

A15

A26

A27 A28 A29

A30

RI PT

liq. → (Co,Ni)Ti

A14

5

1482

1533

1461

1516

ACCEPTED MANUSCRIPT

A33

A34

liq. → fcc-(Co,Ni)

1586

1585

liq. → fcc-(Co,Ni) + τ

1533



liq. + fcc-(Co,Ni) + τ → Co3Ti

1522

1518

liq. → fcc-(Co,Ni)

1606

1611

liq. + fcc-(Co,Ni) → Co3Ti

1508

1505

liq. → fcc-(Co,Ni)

1631

liq. + fcc-(Co,Ni) → Co3Ti

1487

liq. → fcc-(Co,Ni)

1592

liq. + fcc-(Co,Ni) → Co3Ti

1468

liq. → fcc-(Co,Ni)

1581

1577

liq. + fcc-(Co,Ni) → Co3Ti

1447

1448

AC C

EP

TE D

M AN U

A35

1532

RI PT

A32

1538

SC

A31

liq. → fcc-(Co,Ni) + Ni3Ti

6

1638

1483

1595

1467

ACCEPTED MANUSCRIPT

Table 4 Ternary invariant reactions in the Co–Ni–Ti system. Invariant reaction

Reaction

Reaction

Estimated

type

Temperature

composition of

(K)

liquid phase (at.%)

U1

~1535

liq. + fcc-(Co,Ni) + τ ↔ Co3Ti

P 1a

1520

liq. + β-Co2Ti + γ-Co2Ti ↔ Co3Ti

P2

~1470

liq. + Ni3Ti + τ ↔ (Co,Ni)Ti

P3

~1465

liq. + (Co,Ni)Ti ↔ τ + β-Co2Ti

U2

~1460

liq. ↔ τ + β-Co2Ti + Co3Ti

E1

~1450

42

21

48

31

21

70

4

26

39

25

36

50

15

35

51

17

32

EP

TE D

have been inferred in this work.

M AN U

Note that the invariant reactions P1 have been determined directly and the others

AC C

a

7

Ti

37

SC

liq. + Ni3Ti ↔ fcc-(Co,Ni) + τ

Ni

RI PT

Co

ACCEPTED MANUSCRIPT

Alloy Analysed composition No.

Identified phase

RI PT

Table 5. The constituent phases and their compositions of the Co–Ni–Ti alloys annealed at 1373 K. Phase composition (at.%)

(at.%)

Phase 1

Phase 2

Ti

Phase 1/2/3

Co

Ni

Ti

Co

Ni

Ti

Co

Ni

Ti

B1

22.71

20.83

56.46

liquid/(Co,Ni)Ti2/(Co,Ni)Ti

12.43

17.12

70.45

15.33

16.59

68.08

25.58

21.35

53.07

B2

32.23

10.00

57.77

liquid/(Co,Ni)Ti2/(Co,Ni)Ti

18.35

8.56

73.09

20.95

10.34

68.71

36.14

10.06

53.80

B3

11.11

48.44

40.45

(Co,Ni)Ti/Ni3Ti

12.55

42.33

45.12

6.73

67.12

26.15







B4

21.13

38.74

40.13

(Co,Ni)Ti/Ni3Ti

24.16

31.14

44.70

13.71

59.08

27.21







B5

30.60

28.92

40.48

(Co,Ni)Ti/Ni3Ti

33.50

22.21

44.29

23.09

49.31

27.60







B6

40.61

18.99

40.40

(Co,Ni)Ti/τ

41.93

15.30

42.77

39.50

32.78

27.72







B7

49.51

9.58

40.91

(Co,Ni)Ti/β-Co2Ti

47.12

9.63

43.25

55.74

10.31

33.95







B8

46.06

17.19

36.75

(Co,Ni)Ti/τ

46.23

12.37

41.40

46.11

26.60

27.29







B9

49.56

14.90

35.54

(Co,Ni)Ti/β-Co2Ti/τ

47.12

11.83

41.05

55.15

12.78

32.07

49.00

24.47

26.53

B10

21.54

46.01

32.45

(Co,Ni)Ti/Ni3Ti

29.34

25.84

44.82

19.19

52.09

28.72







B11

31.04

37.02

31.94

(Co,Ni)Ti/Ni3Ti

35.43

20.54

44.03

28.51

43.20

28.29







B12

41.04

27.42

31.54

(Co,Ni)Ti/τ

42.57

15.20

42.23

40.21

31.03

28.76







B13

56.58

12.66

30.76

β-Co2Ti/Co3Ti

57.10

10.53

32.37

54.47

20.68

24.85







B14

58.17

14.63

27.20

β-Co2Ti/Co3Ti

59.37

8.61

32.02

57.83

17.56

24.61







B15

61.39

10.88

27.73

β-Co2Ti/Co3Ti

62.00

5.76

32.24

60.71

14.22

25.07







TE D

EP

AC C

SC

Ni

M AN U

Co

Phase 3

8

ACCEPTED MANUSCRIPT

64.87

8.40

26.73

γ-Co2Ti/Co3Ti

66.20

3.96

29.84

64.88

10.14

24.98







B17

71.39

1.96

26.65

γ-Co2Ti/Co3Ti

68.91

1.39

29.70

74.19

2.99

22.82







B18

0.00

74.57

25.43

Ni3Ti

0.00

74.31

25.69













B19

9.78

65.03

25.19

Ni3Ti

9.92

64.75

25.33













B20

19.77

55.57

24.66

Ni3Ti

19.83

54.83

25.34













B21

24.57

50.20

25.23

Ni3Ti

24.89

49.32

25.79













B22

29.81

45.40

24.79

Ni3Ti

29.01

45.35

25.64













B23

34.60

40.75

24.65

τ

35.11

39.77

25.12













B24

39.54

35.92

24.54

τ

38.14

36.32

25.54













B25

52.30

22.15

25.55

β-Co2Ti/τ/Co3Ti

55.24

13.10

31.66

50.47

23.82

25.71

52.99

22.74

24.27

B26

10.62

72.75

16.63

Ni3Ti/fcc-(Co,Ni)

6.31

71.45

22.24

13.21

72.97

13.82







B27

20.88

62.21

16.91

Ni3Ti/fcc-(Co,Ni)

13.19

63.84

22.97

24.89

62.38

12.73







B28

30.12

52.66

17.22

Ni3Ti/fcc-(Co,Ni)

19.59

56.92

23.49

37.64

49.70

12.66







B29

39.38

43.67

16.95

Ni3Ti/fcc-(Co,Ni)

29.40

46.80

23.80

48.54

39.63

11.83







B30

49.51

34.90

15.59

τ/fcc-(Co,Ni)

37.77

39.44

22.79

58.63

29.07

12.30







B31

59.34

24.80

15.86

τ/Co3Ti/fcc-(Co,Ni)

47.87

28.90

23.23

52.65

26.23

21.12

63.94

23.45

12.61

B32

64.25

19.38

16.37

Co3Ti/fcc-(Co,Ni)

58.11

21.30

20.59

69.80

17.18

13.02







B33

67.94

16.89

15.17

Co3Ti/fcc-(Co,Ni)

60.83

18.85

20.32

70.28

15.90

13.82







B34

78.71

5.16

16.13

Co3Ti/fcc-(Co,Ni)

73.07

6.58

20.35

81.16

5.58

13.26







AC C

EP

TE D

M AN U

SC

RI PT

B16

9

CE ED

PT

M AN US

CR

EP TE D

M AN US

C

CE ED

PT

M AN US

CR

EP TE D

M AN US

C

EP TE D

M AN US

C

EP TE D

M AN US

C

CE

ED

PT M AN US

C

TE D

M AN U

AC C EP TE D

M AN US

CR

IP T

CE

ED

PT M AN US

C

EP TE D

M AN US

C

EP TE D

M AN US

C

EP TE D

M AN US

C

EP TE D

M AN US

C

TE D

M AN U

TE D

M AN U

TE D

M AN U

ACCEPTED MANUSCRIPT •The liquidus surface projection of the Co–Ni–Ti system was investigated. •The isothermal section at 1373 K of the Co–Ni–Ti system was determined. • The new ternary phase τ with Co3V-structure was confirmed to be stable at 1373 K.

AC C

EP

TE D

M AN U

SC

RI PT

• The high solubility of Ni in Co3Ti-L12 phase was observed.