Microstructure and Mechanical Evolution of Cu ‐ 2.7Be Sheets via Annealing

: The microstructure and mechanical properties of cold ‐ rolled Cu ‐ 2.7Be sheets under various annealing processes and conditions were investigated in this research. The increased beryllium content in the Cu ‐ 2.7Be alloy facilitates the formation of brittle secondary phases. Consequently, the study highlights the functionality of annealed Cu ‐ 2.7Be alloys as more favorable dynodes than the traditionally used Cu ‐ 2.0Be alloys. The mechanism of recrystallization used for the transformation of Cu ‐ 2.7Be alloys was that of continuous static recrystallization (cSRX). Moreover, the relationship between the orientation of the β phases and that of the surrounding Cu ‐ matrix was determined to be (11 1 (cid:3364) ) α ∥ (110) β and (011) α ∥ (001) β . The β phase has a body ‐ centered cubic (bcc) structure with a = b = c = 0.281 nm. The β phase undergoes a morphology transformation from primitive lath ‐ shaped β particles to quadrangle ‐ shaped β particles during the annealing process. Such transformations could potentially have an effect on the mechanical properties of Cu ‐ 2.7Be sheets. There was a noticeable decline in the yield strength of the Cu ‐ 2.7Be after annealing, and the samples annealed at 770 °C for 15 min achieved the elongation with deep and uniform dimples caused by suitable β particle sizes, appropriate grain sizes, and the maximum volume fraction of ∑ 3 boundaries.


Introduction
Copper-beryllium alloys are extensively used as dynodes in electron multipliers and photomultiplier tubes, due to high, stable, and durable secondary electron emission (SEE) properties [1,2]. In 1947, Allen discussed the design and construction of a 13-stage electron multiplier tube. The electrodes synthesized from the Cu-2.0Be alloy sheets were applied and the method of activating these surfaces was described [3]. Furthermore, in the 1950s-1980s, the activation process played a key role in the investigation of Cu-2.0Be dynodes [1][2][3][4][5]. However, materials with high SEE properties, such as Ag-3Mg [6], Y2O3-Mo [7], MgO/Au composite film [8], H-terminated, and Cs-terminated chemical vapor deposition (CVD) diamond [9] have been developed, whereas minimal attention was placed on the Cu-Be dynodes. Nevertheless, due to the ultra-high thermal stability, the Cu-Be alloys are still utilized as primary SEE materials, which can be sealed in the electron multiplier when functioning as dynodes. Furthermore, upon thorough investigation of the SEE properties of Cu-2.7Be alloys, Wang observed that the Cu-2.7Be alloys possessed a higher SEE property than the traditional Cu-2.0Be alloys, thus suggesting the potential application of the former in Cu-Be dynodes [10]. However, when the Be content in the alloy exceeds 2.3 wt.%, hard and brittle secondary phases are generated. These secondary phases result in processing problems and limit the application of Cu-2.7Be alloys in dynodes. Consequently, it is imperative to study the evolution of the mechanical properties and microstructure of Cu-2.7Be alloys via heat treatment when considering its applicability or functionality in photomultipliers.
The mechanical properties of the alloy sheets are primarily influenced by factors such as textures [11], grain size [12,13], phase composition [14,15], and heat treatment conditions [16]. The phase transformation process of Cu-Be alloys during aging has been extensively researched and is confirmed to be: G.P. zones → γ″ ordered phase → γ′ body-centered tetragonal precipitates → equilibrium γ phase [17][18][19][20][21]. However, only a few reports detail the transformation process of β phases in the Cu-Be alloy. In this study, cold-rolled Cu-2.7Be sheets were obtained via hot-cross rolling. A series of thermal treatments were utilized to facilitate the β phase transition at a temperature higher than the general aging temperature, in order to avoid the hardening of Cu-2.7Be sheets. The evolution of the microstructure of Cu-2.7Be sheets was mainly characterized by electron backscattered diffraction (EBSD), scanning electron microscopy (SEM), and transmission electron microscopy (TEM).

Experimental Process
The alloy used in this work has a nominal composition of Cu-2.7Be (Be content in wt.%). The schematic diagram illustrating the mechanism by which the Cu-2.7Be sheets are processed is shown in Figure 1. After homogenization (800 °C; 20 h), ingots with 10 mm thickness were hot-cross rolled and low anisotropy Cu-2.7Be plates were obtained. Cold rolling was subsequently conducted in order to achieve the final thickness of Cu-2.7Be sheets (0.2 mm), as stipulated by our previous work [22,23]. In an effort to accomplish the objectives of phase transition control and static recrystallization, the cold-rolled sheets were annealed at 650 °C and 770 °C. Subsequently, the annealed specimens (50 mm × 50 mm) were cut using an electric spark wire-cutting machine. Rectangular tensile specimens were also cut with a gauge length of 80 mm and a cross-sectional area of 2 mm × 1 mm using an electric spark wire-cutting machine. The tensile specimens were machined from the quenched rolling plane of the sample with the longitudinal axis along the original rolling direction of the sheets. Electron backscattered scattering detection (EBSD) was conducted at a step size of 1 μm on an scanning electron microscope (SEM) (Sirion 200, Field Electron and Ion Co., Hillsboro, Oregon State, America) equipped with a Tsl-Oim data analysis software system that contained orientation information for each point. The samples for EBSD scanning with dimensions of 5 mm × 5 mm × 0.5 mm were prepared by electric spark cutting, mechanical polishing, and automatic twin-jet electropolishing using a solution of 25% nitric acid and 75% methanol at a potential of 40 V and a temperature of −30 °C. Based on the EBSD data, the grain size distribution was quantified using the commercial software package Image Pro. The transmission electron microscope (TEM) observation and selected area electron diffraction (SAED) were carried out using a Tecnai F20 transmission electron microscope (Field Electron and Ion Co., Hillsboro, Oregon State, America). The specimens were electro-polished in a similar manner as before.

Results and Discussion
The process of deformed and annealed samples was studied by analyzing the measurements of Vickers Hardness as a function of the annealing temperature and annealing time ( Figure 2). The load, with a weight of 4.9 N, was applied for 15 s. The hardness of the cold-rolled sample was established as the initial hardness for any annealing temperature. All the curves are found to consist of two stages, i.e., the subsequent drastic decrease in hardness induced by the preceding recrystallization, and the final steady stage indicating the completion of recrystallization. According to a previous study [24,25], the Vickers hardness exhibits a positive correlation with yield strength. During the process of annealing-which weakens the yield strength-the Vickers hardness of Cu-2.7Be samples decreased significantly ( Figure 2) when the annealing time exceeded 10 min. The main microstructure evolution of low stacking fault energy alloys, such as Cu-2.7Be alloys, is recrystallization during annealing. Higher temperatures promote larger migration velocity of the grain boundaries, thus contributing to a larger grain size [26]. For this reason, higher annealing temperatures can achieve lower values of Vickers hardness ( Figure 2). Hence, increasing the annealing temperature can shorten the recrystallization period by accelerating the recrystallization process of the Cu-2.7Be alloys. According to the Euler maps ( Figure 3), the grain size of the annealed Cu-2.7Be sheets was noticeably increased, whereas the grain shape of the annealed sample tended to be equiaxed because of the recrystallization. Based on the grain size distribution of annealed samples ( Figure 4 and Table 1), it is postulated that the growth rate of the grain size increased dramatically with the increase of annealing temperature.    Figure 5 illustrates the inverse pole figures in the ND direction. The most abundant crystallographic orientations with intensified (111) planes occurred for the cold-rolled sample, as observed in Figure 5(a). The change in the inverse pole figures depicts the evolution of texture during the annealing process. The inverse pole figure of the 650 °C/15 min sample ( Figure 5(b)) demonstrated that the intensity of the (111) plane is weaker than that of the cold-rolled sample. As the annealing temperature and time were increased, the intensity of the (111) plane declined. Based on the aforementioned trend, the lowest intensity of the (111) plane was characteristic of the 770 °C/1h sample ( Figure 5(e)). The most densely packed crystallographic plane in a face center cubic (FCC) system is the (111) plane. The (111) < 110 > slip system is activated during the cold rolling process, thereby resulting in a strong (111) plane intensity, as seen in Figure 5  The recrystallization maps and the distribution of recrystallized fraction maps in Figure 6 illustrate that the fractions of the recrystallization grains increased along with the increase of annealing temperature and time. The newly formed recrystallization grains replaced the position of the previously deformed grains. Additionally, the recrystallization level of annealed samples corresponds to the variation trends of the (111) plane intensity in Figure 5. With the increase of recrystallization volume fraction (Figure 6), there is a decrease in the (111) plane intensity ( Figure  5). The misorientation distribution in Figure 7 shows that the low angle grain boundaries (LAGBs) in cold rolled samples transformed into high angle grain boundaries (HAGBs) mostly after annealing. Based on the SAED results shown in Figure 8(b),(d), the 60° < 111 > twin boundariesknown as the ∑3 boundaries-constitute the vast majority of the boundary frictions in the annealed samples. The friction of the ∑3 boundaries increased significantly with increasing annealing temperature and time, thus guaranteeing good plasticity.   Based on the microstructures observed through TEM, there is a mass of dislocation cells within the high-density dislocation intersection areas as shown in Figure 9(a). The cell walls are highdensity dislocation walls. The motions and interactions of these dislocations are driven by thermodynamic factors and accelerate the transformation from dislocation walls to sub-grain boundaries, as shown in Figure 9(b),(c). The aforementioned transformation phenomenon that occurs is a typical continuous static recrystallization (cSRX) process [27]. As the grain boundary migration continued, recrystallized nuclei composed entirely of high angel grain boundaries were formed as the misorientation distribution shown in Figure 7((b)-(e)). It is acknowledged that the high deformation induced by the cold rolling could introduce highdensity defects such as dislocations, as shown in Figures 9(a) and 10(a). Moreover, a large number of secondary particles within 5-6 nm were found and indicated by the red circles shown in Figure  10(b). From the SAED results shown in Figure 10(c), these fine particles are the γ phase.  Figure 11((a)-(d)) are the TEM, HRTEM images, and SAED of the Cu-2.7Be samples annealed at 650 °C for 2 min. When the annealing temperature was above 618 °C, the eutectoid reaction (α + γ →β) occurred, which resulted in the disappearance of the γ phase ( Figure 10) and the production of the β phase. In Figure 11(a), the lath-shaped β particles can be identified. In Figure 11(b),(c), the orientation relationship between β phases and the surrounding Cu-matrix is expressed as (111 )α∥ (110)β and (011)α∥(001)β. The β phase has a bcc) structure with a = b = c = 0.281 nm. The red arrows indicate that β particles obtain coherent relations with the matrix, as seen in Figure 11(d).
The TEM images of the β phases as a function of increasing annealing temperature and time are shown in Figure 12((a)-(h)). When compared with the lath-shaped β particles in Figure 11(a), the shape of the β phases in Figure 12((a)-(c)) exhibit an irregular polygon shape when the annealing temperature was 650 °C. The quadrangle-shaped β phases can be obtained when the annealing time is increased to 1 has shown in Figure 12(d). Interestingly, at the annealing temperature of 770 °C, the morphologies of the β phases are all quadrangle-shaped and are similar to the morphologies in Figure 12(d). Furthermore, the size of the β phases in Figure 12((e)-(h)) increased as the annealing time increased.  In Figure 13, the yield strength decreases gradually with the increase of annealing time at 650 °C in Figure 13(a),(c), and a similar pattern can be found in Figure 13(b),(d). The 650 °C/15 min sample obtained the highest yield strength, while the 770 °C/60 min sample got the lowest yield strength. Grain boundaries including twin boundaries can obstruct the motion of dislocations, which suggests that the contribution to the yield strength (σy) depends on the grain size. Therefore, the Hall-Petch equation is as followed [28]: where d is the mean grain size, k is the Hall-Petch coefficient, and σ0 is the yield strength of the crystal. Based on the data of Table 1 and Figure 13, the least square fitting between σy and d −1/2 was made and the results were shown in Figure 14. The fitting goodness, R 2 , was about 0.85. The deviation of experimental results in Figure 14 could attribute to the secondary particles in Cu-2.7Be sheets. The Orowan mechanism which is also called the by-passing mechanism is usually believed to be the main strengthening mechanism when particles are hard to be deformed with the matrix. For the by-passing mechanism [21,29]: where σp is the increase of yield strength caused by Orawan mechanism, M is proportional constant which is 3.06 for the fcc polycrystalline matrix, G is the shear modulus of Cu matrix, b is the Burgers vector, ν is the Poissons ratio, r is the mean radii of the particles and λ is the cutting distance of dislocations which can be determined by [29]: In Equation (3), f is the volume fraction of the precipitates. Given M = 3.06, G = 5 × 10 4 MPa, b = 0.255 nm, ν = 0.3, f = 0.0256 [21,29]. Based on the TEM observations in Figure 12, given r = 20-100 nm for β particles, the calculation results of σp is 165-43.65 MPa, which indicated that the strength contribution of secondary precipitations decreased with the increase of particle size. Thus, the experimental results can not agree with the Hall-Petch equation very well. Furthermore, the 650 °C/15 min sample obtained the highest yield strength due to the smallest particle size and average grain size, and the contribution of particle strengthening will be weakened as the increase of β particle size caused by the enhancement of annealing time.  The ductility of Cu-2.7Be sheets annealed at 650 °C increased with the increase of annealing time. However, the 770 °C/15 min sample possessed the maximum elongation after fracture and the remaining samples annealed at 770 °C were of similar ductility. Two factors could be considered: the ∑3 boundaries and the size and morphology of β phases. The vast majority of boundary friction in the annealed samples was located at the ∑3 boundaries ( Figure 6). The samples annealed at 770 °C yielded more ∑3 boundaries than the samples annealed at 650 °C. This indicated that the samples annealed at 770 °C possessed better plastic potential than those annealed at 650 °C. The morphology of β in the 650 °C/15 min sample is that of an irregular polygon, which could generate stress concentration and lead to elongation reduction. With the increase of annealing time at 650 °C, quadrangle-shaped β and more ∑3 boundaries can be obtained, which could give rise to the elongation increase in the 650 °C annealing samples. The situation is different when the annealing temperature was 770 °C. The morphology of the β phases is similar (quadrangle-shaped), hence, the major distinction is the size of β phases. The β size of the 770 °C/15 min sample is the minimum size generated by the 770 °C annealing samples and is beneficial to the improvement in elongation. From the EBSD results, more ∑3 boundaries were obtained at 770 °C, these allowed further elongation improvement of the 770 °C/15 min samples than the other 650 °C annealing samples, and resulted in the optimum plasticity of the 770 °C/15 min samples. Figure 15 shows the SEM morphology of the annealing samples fracture surface. According to the mechanisms of the micro-crack initiation [30], it is highly likely that the initiation and propagation of cracks are closely related to the microstructure. The dislocation pile-up can lead to the stress concentration and the nucleation of micro-cracks at the grain boundary. Many equiaxed dimples appeared on the surface of the 650 °C/15 min samples. As the annealing time increased, deeper equiaxed dimples were observed in Figure 15(b),(c). It means that the formation of large size dimples is related to the brittle β particles and the larger average grain size. Irregular polygon β particles could cause shallower dimples compared with quadrangle-shaped β particles. Therefore, the elongation increased with annealing time when the annealing temperature was 650 °C. Large β particles and grain size could cause oversized deep dimples and lead to the reduction of elongation, which is shown in Figure 15(e),(f). Suitable β particle size and grain size can induce deep and uniform dimples and lead to better elongation, as illustrated in Figure 15

Conclusions
In summary, the grain size of annealed Cu-2.7Be sheets was noticeably increased, and the grain shape of the annealed sample tended to be equiaxed due to static recrystallization. The growth rate of grain size increased significantly, along with the increase of annealing temperature. The vast majority of boundary friction was located at the ∑3 boundaries in the annealed samples. Moreover, the friction at the ∑3 boundaries increased dramatically as the annealing temperature and time increased. The static recrystallization mechanism of Cu-2.7Be sheets was that of cSRX，and the orientation relationship between β phases and the surrounding Cu-matrix was determined to be (111 )α∥(110)β and (011)α∥(001)β. The β phase has a bcc structure with a = b = c = 0.281 nm. During the heat treatment process of Cu-2.7Be sheets, lath-shaped β particles were formed primitively and then transformed into quadrangle-shaped β particles. The yield strength of Cu-2.7Be sheets declined significantly after annealing, and the 770 °C/15 min samples obtained the best elongation for its deep and uniform dimples caused by suitable β particle size and grain size.