Metallic glasses (MGs) attract plenty of interests regarding their special mechanical, acoustic, elastic and magnetic properties     . Among these properties, the superior mechanical properties of MGs or bulk metallic glasses (BMGs) are the most promising for engineering applications considering the lack of dislocation mechanism for plastic deformation    . Also, MGs are used in high efficiency transformers regarding their soft-magnetic properties due to the absence of a magneto-crystalline anisotropy. Besides the mentioned properties, high resistance to corrosion is another impressive property of MGs  . Thus, BGMS or coated MGs can be used in very aggressive environments with the combined strong wear resistance ability and corrosion resistance ability. In previous studies, various preparation methods have been developed to produce MGs. One of the general guiding principles of designing MGs is to choose elements with large differences in size, which leads to a complex structure that crystallizes less easily. Recently, the rare earth (RE) elements such as cerium (Ce), lutetium (Lu), neodymium (Nd), yttrium (Y) and lanthanum (La) have been used as critical alloying additions or basic constituent to improve the performance of BMGs  . The Ce-based rare earth bulk metallic glass with lower glass transition temperature and special mechanical properties such as lower elastic modulus was reported in one previous study  .
Cerium is the most abundant of all the lanthanide among the earth crust and it occurs in various minerals  . Ce can replace Zr as the based constituent material during BMG preparing since they have a similar atom structure. Ce-based MGs i.e., Ce55Al45 and Ce75Al25, have been successfully prepared and unique properties, i.e., pressure induced polyamorphism, have been reported in these kinds of MGs     . One possible mechanism was that the 4f electron delocalization in Ce under high pressure causes bond shortening. This electronic polyamorphism is very different from the structural polyamorphism compared with other amorphous materials. Moreover, electronic structure of Ce in Ce-bearing materials can not only be changed by pressure but also by alloying with other elements. Zeng et al. reported that the minor alloying effect, i.e., Si doping in the Ce75Al25 MG system, which can change the transition pressure even properties of both high-density amorphous (HAD) and low-density amorphous (LDA) of Ce75Al23Si2 metallic glass obviously   .
To characterize the mechanical performances of bulk metallic glasses, both standard or customized tensile tests and indentation test have been conducted. However, the tensile test would require special care for sample preparation, especially for MGs which are mostly prepared in foil or powder rather than large bulks (i.e., 25.4 mm length and 6.35 mm width). Thus, the multi-scaling indentation are more favored for studying MGs to examine both the macro/micro mechanical response via hardness and the deformation zones around/under- neath the indent   . However, in many other experiments, roughly semicircular shear bands were observed which are not predicted by the slip-line theory. These shear bands and their associated hemispherical plastic zone beneath the indent were explained using the expanding cavity model. Also, previous studies have demonstrated that annealing-induced hardening might be possible in bulk metallic glasses (BMG)   . Multi-scaling indentation as well as different inverse methods can be utilized to access the elastic properties  and plastic properties of individual grains   and individual phases  . Besides, the application of multi-direction indentation will be helpful to understand the possible anisotropy of REMGs foils  . So far, there have not been any reports on the annealing effects on the mechanical properties of REMGs.
Our aim is to examine the influence of annealing on the mechanic properties of melt-spun glassy Ce75Al23Si2 ribbons. In this paper, we applied the microindentation in REMGs to correlate the mechanical performances and annealing temperatures. The XRD and SEM are followed to illustrate the evolution of the structure and the element distributions. The understanding of annealing effects on the mechanical behaviors of these alloys will be fruitful for further research.
2.1. Sample Preparation
All master ingots were prepared by arc-melting a mixture of pure Ce (99.5 at%), Al (99.95 at%), Si (99.99 at.%) in a Zirconium-gettered argon atmosphere. Each ingot was melted five times to ensure homogeneity in composition. Using these master ingots, thin ribbon Ce75Al23Si2 (the numbers present atomic percentage) metallic glass with a thickness of about ~35 μm and a width of ~3 mm was further prepared via single-roller melt-spinning with a Cu wheel surface rotating speed of 40 m/s as shown in Figure 1. Then, the ribbon was divided into six pieces, with each piece 5 mm * 2 mm * 35 μm. Each Ce75Al23Si2 metallic glass sample was loaded in quartz capillary and kept under vacuum at 4 × 10−4 Torr to reduce the possibility of oxidation in annealing heat treatment. A Fisher Scientific oven was used to heat the sample at 100˚C, 200˚C, 250˚C, 270˚C and 290˚C for 30 min, respectively.
2.2. Materials Characterization
The X-ray diffraction studies were carried out using Bruker GADDS/D8 X-ray facility with molybdenum MacSci rotating anode, λ is 0.709319 Å and Apex Smart CCD at Center for the Study of Matter at Extreme Conditions (CeSMEC), FIU. The XRD patterns were collected for 5 minutes for each sample and the diffraction angle 2-thera range was set to 35 degrees. The SEM studies were car-
Figure 1. Processing of Ce75Al23Si2 metallic glass preparation using single-roller melt-spinning method.
ried out by using JEOL 6330 equipped with a Noran System Six EDS analyzer. The hardness of the samples was measured using the LECO’s LM Microindentation Hardness Testing System. The surface of the MGs is polished using a standard processing to reduce the surface roughness. The microindentation tests were carried out at 25 g loads and a 10 s dwelling time on all samples. Nine Vickers indentations were placed on each sample with a three by three array and sufficient space was kept between indents to avoid the potential plastic deformation zone overlapping. The averaged hardness values and the deviations of the six samples were calculated. Both SEM and microindentation were performed at the Advanced Materials Engineering Research Institute (AMERI).
3. Results and Discussions
Figure 2 shows the result of hardness measurement for the six samples of different annealing conditions. The initial hardness for the sample as received was around 200 HV and this value remained nearly unchanged for the sample annealed at 100˚C. When the annealing temperature was increased to 200˚C, the hardness increased by ~10% to 220 HV. However, the hardness increased to 310 HV, which is ~50% higher compared to the as received samples when the annealing temperature was raised to 250˚C. Finally, the average hardness of the annealed sample reached ~400 HV after treated at 290˚C.
Figure 3 shows X-ray diffraction patterns of the specimens before and after the annealing at diffraction conditions. No sharp peaks were observed for the as received sample and the pattern is identical to that of the REMG with the same composition  and similar to that of Ce75Al25  . Singh et al.  studied Ce75Al25-xGax metallic glasses and found that incorporation of small amount of Ga (x = 2) may introduce a new major diffraction peak at a higher angle but appearance of such a new peak was not observed in the case of Si incorporation
Figure 2. The average hardness values (HV) of each sample with different annealing temperatures (The points from left to right were the as received sample and samples annealing at 100˚C, 200˚C, 250˚C, 270˚C, and 290˚C). Bars attached to the symbols represent the experimental uncertainty.
Figure 3. The XRD patterns of each samples: (a) as received (AR) sample; (b) sample annealed at 100˚C, (c) sample annealed at 200˚C; (d) sample annealed at 250˚C; (e) sample annealed at 270˚C; and (f) sample annealed at 290˚C (Wavelength λ is 0.7093 Å, exposure time is 300 sec.)
with the same amount (x = 2). The diffraction pattern of the sample annealed at 100˚C did not show any significant change compared to that of the as received sample, indicating no crystallization at this annealing temperature. Upon annealing at higher temperatures, sharp crystalline diffraction peaks were observed. All the observed peaks were identified belonging to the hexagonal α- AlCe3 phase.
The average crystallite sizes of the annealed samples were estimated based on the diffraction data using Debye-Scherrer equation  as shown below
where β is full width at half maximum (FWHM) of the diffraction peak, K is a dimensionless shape factor with a value close to unity but may vary from 0.9 to 1.1 depending on the actual shape of the crystallite (K = 1 is used here), represents the wavelength of X-ray source (0.7093 Å used in this experiment), d is the average grain size and is the Bragg angle of the diffraction peak. The FWHM of each diffraction pattern was obtained through curve fitting using Fityk  , and the average crystallite sizes were derived to be 28, 31, 33, and 42 nm for the samples annealed at 200˚C, 250˚C, 270˚C and 290˚C respectively. The SEM micrograph (Figure 4) confirms that the crystallite sizes are in such a nanometer range. According the Hall-Petch relationship for yield strength of a crystalline sample, i.e., the increase of crystallite sizes (d) may result in a decrease in strength. Regarding the linear relationship, the microhardness values can be converted to the σy.   Using λ0 = 255 Hv (the hardness for Ce75Al25 metallic glass measured with 25 g load  and ky
Figure 4. The backscatter SEM of Ce75Al23Si2 MG after annealing at 270˚C.
value from 2 to 5 MPa m1/2 for the estimation of Hall-Petch effect  , the hardness is expected to decrease by about 15% - 17% when the crystallite sizes increases from 28 to 42 nm. Therefore, the fact that the bulk hardness increases by more than 50% is dominantly influenced by the population increase of the crystalline precipitation, not by the change in the size of such precipitation at higher annealing temperature.
Although the crystalline alloy is in general softer than the metallic glass of the same composition, grain boundaries and the statistically stored dislocations (SSDs) in the crystalline grains near the interfaces between amorphous alloy and the new generated nanocrystal serve as barriers to the plastic deformation and hence increase the hardness of the bulk with nano-size precipitations. As more AlCe3 phase precipitates at higher the annealing temperature, Si bearing phase becomes visible in the diffraction patterns. The weak diffraction peaks in the pattern of 290˚C annealed sample in Figure 3 were identified as Cerium Aluminum Silicate Hydroxide [Ce2Al(SiO4)2(OH)]. This is in consistent with the increase in AlCe3 phase as the annealing temperature rises. Nevertheless, a decrease of the hardness is expected if the crystallization is complete and bulk sample dominated by AlCe3 crystalline phase of larger crystallite sizes at high enough annealing temperature or long enough annealing time.
Annealing of the Ce75Al23Si2 REMG at a temperature above 200˚C introduces nano AlCe3 crystalline precipitations of about 30 - 40 nm, which in turn enhances the hardness of the annealed system. The population of such nano precipitations increases with the annealing temperature within the range of 200˚C - 290˚C. Consequently, the bulk hardness also increases with the annealing temperature. The hardness enhancement, however, is restricted to a limited range of annealing temperature and annealing time. Further experiments beyond the current range of annealing temperature and time, and more detailed microstructure studies using e.g. TEM will be helpful to completely understand the process.
The authors are thankful to Dr. Alexander Franco and Dr. Vadym Drozd for their technical assistance. Part of this research was carried out by AMERI, Florida International University. The work was partially supported by NSAF Grant No. U1530402.