Abstract
The effect of the combined addition of Mo and Ti on the phase evolution of non-equiatomic (CoFeNi)100−2.5xMoxTi1.5x (x = 2,4,6,8,10,12) alloys produced by high-energy ball-milling was investigated. Based on the preliminary phase stability criteria, solid solution formation is expected for each composition, a face-centred structure (FCC) phase if x is less than 10, and FCC and body-centred structure (BCC) phase in other cases. After 35 h of milling, solid solution structures were successfully produced in all samples; an FCC, two BCC structure phases, and a small amount of Co phase were identified based on X-ray diffraction. One of the BCC phases is Mo-based (BCC1(Mo)), while the other is a Fe-based (BCC2(Fe) solid solution. Increasing the combined amount of Mo and Ti alloying up to 20 at% (x = 8), the amount of the FCC structure was dominant, while above 20 at% (x = 10), the amount of the two BCC lattice structures was predominant. The average particle sizes were smaller than 3 μm. The specific surface area of all composition powders was less than 0.25 m2/g, which is extremely rare for a catalyst. All HEA powders containing Mo and Ti demonstrated enhanced photocatalytic activity in the decolorisation of Rhodamine B dye (RhB). The optimum conditions for RhB decolorisation were a pH of 2 and a catalyst dosage of 1 g/L. Under these conditions, (CoFeNi)85Mo6Ti9, (CoFeNi)80Mo8Ti12, and (CoFeNi)70Mo12Ti18 demonstrated high efficiencies of 97.6, 98.6 and 98.7%, respectively, already in the first minute of reaction.
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Introduction
Multicomponent high-entropy alloys (HEAS) have garnered significant attention since their initial discovery. Both equimolar and non-equimolar variants of HEAs can be synthesized, with their crystal structures, especially in compositions containing five or more elements, being influenced by various factors beyond configurational entropy1. These alloys may adopt a single-phase solid solution, such as face-centred cubic (FCC)2, body-centred cubic (BCC)3, or hexagonal close-packed (HCP)4 structures. However, it is also common for HEAs to exhibit a complex mixture of phases, including intermetallic and amorphous structures. Among these, FCC-type solid solution HEAs constitute a substantial portion³.
Certain elements can destabilase the FCC structure, while others promote BCC formation or encourage the development of intermetallic phases. It shoud be noted that CoFeNi-based HEAs, are frequently studied due to their favourable magnetic properties2,5 and their tendency to form stable FCC structures. Previous studies have investigated the phases present in CoFeNi-containing HEA powders, which are summarised in Table 1. Several equiatomic HEAs—such as CoCrFeNi5,6,7 CoCrFeNiMn5,6, CoFeNiV8, CoFeNiMn9, and AlCoFeNiTi10—have been confirmed to form single-phase FCC solid solutions.
Despite aluminium (Al) having an FCC lattice in its pure form, its incorporation into CoFeNi HEAs promotes the formation of a BCC structure2,11,12. At a 0.5 molar ratio, the BCC phase becomes evident, and at equimolar concentration, the alloy transforms entirely to a BCC phase¹¹. Additionally, elements such as Si11 and Ti13,14,15,16, even in non-equiatomic amounts, tend to form intermetallic phases with Ni. The inclusion of Mo8,17 in CoFeNi HEAs also facilitates the formation of intermetallic structures. Verma et al.18 reported the coexistence of FCC and BCC phases following 36 h of milling in HEAs containing equimolar ratios of Al and Mo.
In parallel with the advancement of HEA research, environmental concerns are also prompting the exploration of novel materials for water treatment. The value of clean water is rising globally, with industrial activities placing increasing demand on water resources and intensifying the importance of wastewater management.
In the current study, Rhodamine B (Rhb) was used as a model pollutant to simulate wastewater solution. Rhodamine B (RhB) is a synthetic, water-soluble fluorescent dye, classified as one of the most important xanthene dyes19 It is commonly used in the dyeing of cotton, bamboo, leather, weed, fireworks, and even ballpoint pens, leading to its release into the environment. RhB dye poses several risks to aquatic life, including respiratory damage, tissue necrosis, reproductive harm, and even cancer. Additionally, RhB is highly stable and difficult to biodegrade, which contributes to its long-term environmental pollution20.
To address this, researchers are investigating cost-effective and efficient water purification technologies. Wang et al.21 demonstrated the rapid degradation of azo dyes using Fe-based metallic glasses, attributing the reactivity of these materials to their metastable thermodynamic state and surface morphology. Given the thermodynamic metastability and diverse elemental composition of HEA powders, these materials are also being explored for environmental applications. Notably, Lv et al.22 reported in 2012 the successful degradation of azo dyes using AlCoCrTiZn HEA powder, highlighting the potential of HEAs in wastewater treatment.
In this study, the role of the combined effect of Mo and Ti on the amount of phases formed in CoFeNi HEA and its catalytic activity was investigated in detail.
Materials and methods
Preparation of HEA powders
High-purity powders of Co (99.8% pure, 150–45 μm size), Fe (99% pure, < 75 μm size), Ni (99.8% purity, 100–75 μm size), Ti (99.4% pure, < 150 μm size), Mo (99.95% pure, 3–7 μm size) have been used in this work. The non-equiatomic (CoFeNi)100−2.5x(MoxTi1.5x) alloy compositions were prepared (x = 2, 4, 6, 8, 10, 12). HEA powders were referred to as Mo2Ti3, Mo4Ti6, Mo6Ti9, Mo8Ti12, Mo10Ti15, and Mo12Ti18 respectively. Subscripts in the alloy compositions indicate the atomic portion of each element.
These powders were ball-milled in an argon atmosphere in a planetary ball mill (Fritsch, Pulverisette 5) using a 250 ml hardened steel vial (63 HRC). Balls were selected from hardened steel. A combination of balls with different diameters was used for milling: 5 balls with 20 mm diameter, 14 balls with 12 mm diameter, 4 balls with 10 mm diameter and 10 balls with 7 mm. Given that Fe is already present in the composition, the effects of possible Fe transportation from balls to powders on the mechanical properties are marginal. The ball-to-powder ratio was 13:1, and the milling speed was 200 rpm. Each one-hour milling process was followed by 1 h to cool down the vials. Toluene was used as a process control agent (10 ml).
Phase stability
Multicomponent (minimum 4, 5) phase diagrams are not generally available. Therefore, Zhang et al.4, Guo et al.23 and Yang et al.24 have developed empirical criteria for predicting solid solution formation to design new HEA alloys. These criteria have been established based on the phases of the HEA alloys found in the literature. The calculated parameters according to the requirements are presented in Table 2. For each composition, a solid solution is expected to form based on all three criteria; in the case of (Mo10Ti15) and Mo12Ti15, FCC and BCC lattices are expected, while in the other cases, only the FCC lattice phase is expected.
Materials characterisation
Bruker D8 Advance diffractometer (XRD) was utilised to analyse phase structure using a diffractometer using Cu Kα radiation (40 kV, 40 mA) in parallel beam geometry obtained with a Göbel mirror equipped with a Vantec-1 position sensitive detector (1° window opening), measured in the 2–100 °(2 θ) angular range, at a 0.007° (2 θ)/29-sec speed. The specimen was rotated in the sample plane during the measurement to obtain data from the whole surface and reduce in-plane preferred orientation effects. The quantitative results were obtained by the combined use of Rietveld refinement and peak area calculation (Pawley fit). The amorphous fraction was determined using peak area determination from the Pawley fit in TOPAS4 (amorphous hump method). Crystallite sizes were calculated from peak broadening by Scherrer equation after correction for instrumental contribution, during the Rietveld refinement. The instrumental profile was calculated by the empirical parametrisation method using NIST 640 d Si powder as a standard. The background was fitted by the use of Chebyshev polynomial 4 th degree and hyperbola (1/x) function for air scattering at low angles. For each phase, a fitting pattern was calculated from initial unit cell values and atomic coordinates from ICSD database or relevant literature. During the refinement unit cell parameters and crystallite sizes were fitted to estimate the actual values. Due to the parallel beam geometry, sample displacement, surface roughness and other errors were eliminated and needed no correction, also making calculation errors minimal. The peak broadening was resolved by simultaneous size and strain calculation, size (nm) = FWHM(2θ)*cos(θ)/λ and strain ε0 = FWHM(2θ)/(4 tanθ, a dimensionless parameter which could be related to the distortion of the lattice parameter in percent).
The weight fractions of phases were determined using the Rietveld method and then converted to volume fractions using the phase density. The microstructure of the powders was analysed by a Scanning Electron Microscope (Thermo Scientific Helios G4 PFIB SEM) equipped with an Energy Dispersive Spectrometer (EDS). After 35 h of milling, the composition of the alloys was controlled by SEM-EDS analysis. The specific surface area of the HEA powder was examined using the Brunauer–Emmett–Teller method (BET, Micrometrics TriStar 3000). Nitrogen adsorption-desorption isotherms were acquired at 77 K using. The particle size distributions were done on the SEM images based on measuring 500 particles using Fiji ImageJ 2.16.0 version software (https://fiji.sc).
Catalytic activity measurements
The decolourisation of RhB (C28H31CIN2O3, Fluka AG) was evaluated under UV light irradiation experiments on the HEA samples. In every experiment, three parallel reaction mixtures were prepared as follows: 250 mg sample was added for 250 mL of 5 mg/L RhB solution. The HEA powder was treated in 1 M HCl solution for 10 min before adding to the RhB solution. To test the pH dependence, the pH of the solution was adjusted with 1 M NaOH and 1 M HCl solutions using a digital pH meter. After these preparations, the samples were stirred on a magnetic stirrer for 15 min to disperse the catalyst. In order to check if adsorption would occur and if the dye would be bound by the HEA, the concentration of the RhB was measured. Negligibly small concentration differences were detected, so the adsorption did not take place during the process. After that, 1,25 ml of hydrogen peroxide solution (H2O2, 50 wt %) was injected into the solutions. The mixing was continued for a further 20 min, with sampling. Samples were taken at 1, 2, 5, 8, 12, 15 and 20 min from each beaker. The samples were filtered through a syringe filter and analysed using a UV-visible spectrophotometer on 553 nm. At certain time intervals, 1–1 sample was taken from the magnetic stirrer and has been filtered. The RhB concentration of the filtrates was determined using an EMITA VP-60 UV lamp (power 180 W). It transmits UV radiation in the range of 320–400 nm; the maximum emission was at 365 nm wavelength.
Results and discussion
Morphology of milled powder
The morphology and microstructure changes with particle size distribution were examined using SEM analysis in (CoFeNi)100−2.5x(MoxTi1.5x) alloy powder produced by 35 h high energy milling time alloy powder (Fig. 1). The low-magnification images showed that, in addition to the many tiny particles, larger particles are also visible due to the cold welding between the particles as a result of plastic deformation (see Fig. 1a, d,g, j,m, p). It can be seen in histograms as the D90 value proposes the size of larger particles from 12.7 μm to 29.6 μm and include rare particles with a higher size. As a consequence of continuous fractures and cold welding, the shape of the powder approaches visually spherical, regardless of Mo and Ti content, as seen in Fig. 1b, e,h, k,n, q. As shown in magnified SEM images, smooth parts on the surface of the powders can be seen, suggesting a small specific surface area value. Only a small amount of elemental Co could be distinguished in the cross-section of the embedded powders in SEM backscattered electron images (marked with a red circle), with no apparent colour differences in the other areas, indicating a homogeneous distribution of elements (see Fig. 1n insert picture).
Structure analysis
The X-ray diffraction pattern of (CoFeNi)100−2.5x(MoxTi1.5x) powders, together with calculated weight fraction and crystallite size after 35 h milling time, are presented in Fig. 2(a-f) and Table 3. Based on the literature, CoFeNi medium entropy alloy has a stable FCC phase6,11,26. As can be seen in Fig. 2(a), the Mo2Ti3 powder consisted mainly of an FCC (Fm-3 m) structure with 64 wt% (67 V/V%). The lattice parameter of this FCC structure was 0.35820 nm. The lattice parameter of the FCC phase of CoFeNi produced by casting is 0.35990 nm11, and 0.3648 nm27 produced by mechanical alloying. According to thermodynamic calculations, a phase with FCC structure should have been formed only, but two BCC (Im-3 m) structures were also identified. The lattice parameter of the BCC 1 phase with 16 wt% (14 V/V%) was 0.31478 nm, which suggests that this is a Mo-based phase (named BCC 1(Mo)). In the literature, the Mo and Ti element is considered to be the most effective alloying agents that help form an intermetallic phase8,26,28. Still, no intermetallic phase was identified in the family of alloys we studied. The lattice parameter of pure Mo is 0.3147 nm, which does not mean that the BCC 1(Mo) is pure Mo. It shows that in addition to the largest atomic diameter Ti, the smaller diameters Co, Fe, and Ni are also present in the lattice so that the lattice enhancing effect of Ti is balanced out. The lattice parameter of the BCC2 (Im-3 m) structure with 12 wt% was 0.28573 nm, which was very similar to the lattice parameter of pure Fe (aFe=0.2857 nm), named BCC 2(Fe). Adding 32 wt% Co content, 7 wt% hexagonal structure Co content was identified after 35 h milling time. The initial Co powder was a mixture of FCC (Im-3 m) and hexagonal (P63/mmc) lattice structure powders. Sort et al.29 demonstrated that in the case of Co, the FCC ⟷ HCP phase transformation occurs several times during high-energy milling. In the previous milling experiments30, it was observed that this transformation prevents incorporation of Co into the HEA alloy. The lattice parameters of the detected Co (P63/mmc, aCo=0.23967, cCo=0.38943) are smaller than those of pure Co (aCo=0.25071, cCo=0.40695), which means that the smaller atomic radii Fe and Ni may be incorporated in the Co lattice. As shown in Table 3, doubling the amounts of Mo and Ti increased the amount of FCC structure up to 79 wt% (81 V/V%). The quantity of the volume of two BCC structures phases decreased by 40–60%. The variation of the lattice constants is less than 0.5%, except for hexagonal Co, where the parameter “c” increased. Observing Fig. 2c; Table 3, the FCC structure decreased to 55 V/V%, but this phase remained the main phase. The two BCC phases increased.
Figure 2(d) shows the X-ray results of Mo8Ti12 powder. It has been noted that the FCC phase was still the major phase (81 V/V%). The BCC structures were also observed but had a lower content than in the case of the other alloys. According to Fig. 2(e), in Mo10Ti15 powder, a significant change occurred in the quantity of formed phases. The volume of the FCC structure phase decreased significantly. In contrast, the volume of BCC structure phases increased; the BCC1(Mo) phase was 53 wt% (45 V/V%), and the BCC2 (Fe) was 27 wt% (38 V/V%). 2 wt% Co was found in the alloying powder after 35 h of milling, featuring FCC structure. In the case of the Mo12Ti18 sample, the most remarkable result is that the FCC phase has become the main phase again, and the amount of the phase mainly containing Co has increased.
All crystal sizes were below 15 nm owing to the high-energy milling process except the BCC(Mo) (see Table 3). The evolution of the lattice parameters as a function of the total Mo and Ti content can be observed in Fig. 3(a). The lattice parameter of BCC(Fe) increases slightly; in the case of Mo10Ti15 alloy, the change is 2% for the value measured in the alloy with the lowest Mo and Ti content (Fig. 3(a)). The most significant change is in the lattice parameter of the FCC structure, where it has increased by 19% for Mo10Ti15 due to the incorporation of larger diameter elements. It is the least amount of FCC phase in this alloy (see Fig. 3(a)). Increasing the combined amount of Mo and Ti alloying to 20 at%, the amount of the FCC structure was dominant, while at 25 at%, the amount of the two BCC lattice structures dominates (Fig. 3(b)).
Specific surface area
The specific surface area is a fundamental property for the catalytic property. The specific surface area was determined using the Brauner–Emmett–Teller (BET) method. After 35 h of milling, the specific surface area of the powders can be considered below 0.25 m2/g (see Table 4). The BET value for usually photocatalytic powders (Bi24O31Cl10:22.55 m2/g31, MoS2:16–32 m2/g32, ZnCo2O4:182 m2/g33, CuO:7.8 m2/g34) is more than ten times higher, since the higher the BET value, the more active sites are on the surface. The BET values confirm the observation based on the SEM images that the surface of the pores is smooth, with no pores on the micron scale.
Photocatalytic degradation of RhB dye
Figure 4. illustrates the decolourisation of Rhodamine B (RhB) over time. The experiments were conducted both in the presence of HEA powders and without them (grey squares), serving as the reference. The results indicate that the HEA powders significantly accelerated the photo-Fenton oxidation reaction in all cases. Notably, a substantial portion of the dye decolourisation occurred within the first few minutes. As reported in numerous studies35, morphology and particle size have a significant impact on catalytic efficiency. In our case, no clear correlation can be established between particle size and catalytic activity, as both the composition ((CoFeNi)100−2.5xMoxTi1.5x (x = 2,4,6,8,10,12)) and particle size of our samples varied (D50: 2.8–9.2 μm). However, lowering the pH and the resulting morphological changes have a considerable effect on the processes. Across all experiments, the most effective decolourisation was observed at pH = 2. As Sheng Guo et al.36 stated, the pH value has significant influence in case of heterogeneous photo-Fenton reaction processes. On one hand, at lower pH levels, the formation of H3O2+ enhances the efficiency of the degradation process; on the other hand, a rougher or more etched surface typically offers a larger active surface area, providing more reactive sites for dye adsorption and subsequent catalytic degradation37,38. The results indicate that increasing the Mo + Ti content generally leads to higher catalytic activity. This trend was observed at both pH values, with one exception. At pH = 4, the Mo10Ti15 sample degraded 95.0% of the Rhodamine B solution in 20 min, whereas Mo12Ti18 achieved only 78.7%, contrary to expectations. The results do not indicate strong correlation between crystal size, crystal phases, specific surface area, and catalytic activity. However, it is clear, that increasing the Mo + Ti ratio significantly enhanced the efficiency of the photo-Fenton degradation reaction under these reaction conditions.
Figure 5. shows the surface morphology of the (CoFeNi)70Mo12Ti18 sample after the decolorisation process, using (a) pH2 and (b) pH4, respectively. It can be seen that the etching effect increases surface area of the grains.
Table 5. shows a comparison of the results with some literature data, presenting the highest decolorization rates achieved with the various catalysts, along with the shortest times required to reach them. The comparison showed that the (CoFeNi)75Mo10Ti15 and (CoFeNi)70Mo12Ti18 powders achieved high rhodamine degradation results in a remarkably short time.
Conclusion
Effects of Mo and Ti content on the microstructure of non-equiatomic (CoFeNi)100−2.5xMoxTi1.5x (x = 2,4,6,8,10,12) HEAs were systematically studied. The conclusions from the experimental results can be summarised as follows:
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1.
Solid solution HEA alloys have been successfully obtained without inclusion of an intermetallic phase by high-energy grinding for 35 h, even when Mo and Ti both were added based on the XRD studies.
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2.
Adding Mo and Ti together resulted in the formation of near-spherically shaped particles with an average size varying from 2.8 μm to 9.2 μm particles.
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3.
The surface of the powders was smooth; the BET value was below 1 m2/g in all cases, and the agglomerates had no pores on the micron scale detected.
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4.
Increasing the combined amount of Mo and Ti alloying to 20 at%, the amount of the FCC structure was dominant, while above 20 at%, the amount of the two BCC lattice structures was predominant. The crystallite sizes were below 25 nm.
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5.
The decolorisation process efficiency was high even at pH = 4, 90% dye degradation was measured in 8 min using (CoFeNi)75Mo10Ti15 powder. Using pH 2 and a catalyst dosage of 1 g/L, (CoFeNi)85Mo6Ti9, (CoFeNi)80Mo8Ti12, and (CoFeNi)70Mo12Ti18 demonstrated high efficiencies of 97.6, 98.6 and 98.7%, respectively, already in the first minute of reaction.
Data availability
The data are available upon request from the corresponding author.
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Acknowledgements
E.S. and D.T. Supported by the University Research Scholarship Program of the Ministry for Culture and Innovation from the source of the National Research, Development and Innovation Fund.

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E. Sikora: Investigation, data curation, editing, writing, original draft, F. Kristály: methodology, formal analysis, D. Tergalecz: methodology, A. Sycheva: visualization, analysis, editing, T. Ferenczi: methodology, M. Sveda: conceptualization, review and editing, D. Janovszky: conceptualization, writing and review. All authors have read and agreed to the published version of the manuscript.
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Sikora, E., Kristály, F., Tergalecz, D. et al. Microstructure and phase evolution in increasing the amount of mo and Ti of non-equiatomic CoFeNi-based medium entropy alloys for organic wastewater treatment. Sci Rep 15, 18835 (2025). https://doi.org/10.1038/s41598-025-03976-8
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DOI: https://doi.org/10.1038/s41598-025-03976-8







