3.1. Compositional Optimization of FAT
The orthogonal test was designed to optimize the FAT composition. In this experiment, three factors (A stands for SiO2/Cr2O3 mass ratio, B stands for mass fraction, and C stands for particle size) and three levels (A1 = 0; A2 = 1; A3 = ∞; B1 = 45 wt%; B2 = 55 wt%; B3 = 65 wt%; C1 = 19 μm; C2 = 10 μm; C3 = 5 μm) were selected; thus, orthogonal table L9 was chosen.
In order to simplify the experiment, the same particle size was used for different types of abrasives. The specific experimental scheme and results are shown in
Table 5. The material removal rate is converted using the weighing method. The material removal rate was calculated using Formula (1):
where
MRR denotes the material removal rate,
denotes the mass change value of sapphire substrates,
denotes the density of sapphire substrates,
= 3.98 g/cm
3,
r denotes the radius of sapphire substrates, which equals 25.4 mm, and
t is the processing time.
The analysis of the orthogonal experiment’s results is shown in
Table 6.
K1,
K2, and
K3 and the corresponding
k1,
k2, and
k3 are the sum and mean values of each level, respectively. By comparing the range
R of A, B, and C, we can conclude that the order of influencing factors is A > C > B. The mass ratio of SiO
2/Cr
2O
3 has the greatest influence on the final material removal rate. From the
k value of each factor, it can be observed that factor A has the largest value at
k2; thus, A
2 was the best. Similarly, B takes B
2, and C takes C
2; thus, the optimal combination is A2B2C2. The mass fraction of the abrasives is 55 wt%, and the particle size of SiO
2 and Cr
2O
3 abrasives is selected as 10 μm.
Aiming at further optimizing the abrasive mass ratio, the mass ratio of the SiO
2 and Cr
2O
3 abrasive was set as 0, 0.5, 1, 2, and positive infinity. The influence of the SiO
2/Cr
2O
3 mass ratio on the material removal rate is shown in
Figure 5.
It can be concluded that when the mass ratio of SiO
2/Cr
2O
3 is 2, the material removal rate is the highest, and the MRR of the mixed abrasive is higher than that of a single abrasive from
Figure 5. It is known from reference [
22] that sapphire can react with silicon oxide under certain conditions as described in Formulas (2) and (3). In [
23], Wu speculated that sapphire and chromium oxide may chemically react, as shown in Formula (4).
Both SiO
2 and Cr
2O
3 abrasives can react with sapphire in the solid phase. However, the condition for SiO
2 to react with sapphire is easier than Cr
2O
3; thus, the MRR of a single SiO
2 abrasive is higher than that of a single Cr
2O
3 because the hardness of Cr
2O
3 is 8~8.5, which is higher than SiO
2. The energy generated by the friction between Cr
2O
3 and the surface of the workpiece is higher when in contact with the surface of the sapphire workpiece, which is conducive to the solid phase reaction between SiO
2 and the sapphire. The mass ratio of SiO
2/Cr
2O
3 is 2, and the material removal rate of the sapphire wafer is the highest. The final optimized formula of the FAT is shown in
Table 7.
3.3. Lapping and Polishing Experiment Results
3.3.1. Traditional Sapphire Production Process
According to the preliminary studies of the research group, the efficiency of free abrasive processing may be the highest when the rotating speed is 60 rpm. Accelerating the rotational speed leads to an increase in centrifugal force and a decrease in the utilization rate of the polishing slurry.
- (1)
Copper plate polishing (fine lapping)
The surface roughness
Ra of the sapphire wafer decreased from 560.9 ± 52.9 nm at the initial stage to 30.5 ± 2.2 nm at 30 min. After 60 min, the roughness decreased to 13.9 ± 1.2 nm. Then, 90 min later, the surface roughness
Ra increased to 25.0 ± 2.1 nm. Therefore, the copper polishing time of 60 min may be the best. After repeating the experiments three times, the average surface roughness
Ra was 15.2 ± 1.1 nm, and the material removal rate was 368.4 ± 28.9 nm/min after copper polishing for 60 min. Nevertheless, there were obvious scratches on the surface.
Figure 7a shows the variation in surface roughness at the copper plate polishing stage with respect to processing times. Surface topographies before and after processing are shown in
Figure 7b,c.
- (2)
Rough polishing
After repeating the experiments three times, it was observed that the best surface roughness can be obtained after 60 min at this stage. After 90 min, the roughness increased, and the number of tiny scratches increased significantly. The average surface roughness
Ra was 6.4 ± 0.9 nm, and the material removal rate was 12.8 ± 1.1 nm/min after 60 min of rough polishing. The surface morphology observed using SEM is shown in
Figure 8.
- (3)
Fine polishing (CMP)
The final process was fine polishing via the CMP method. Polyurethane pads with nano-sized particle silica sol were used in the final processing stage. The main purpose was to remove the scratches caused by the previous process and finally obtain a surface quality with no damage. Scratches gradually decreased with the increase in processing time. After 6 h, the scratches were completely removed, the average
Ra was 0.4 ± 0.1 nm, and the material removal rate was 8.0 nm/min. After that, machining continued for 2 h. The results showed that the surface roughness had no obvious improvement, according to
Figure 9a. Therefore, it can be considered that the best surface quality can be obtained after 6 h using CMP. The surface’s topography is shown in
Figure 9b.
3.3.2. Prepared FAT for Processing + CMP
- (1)
Prepared FAT for processing
The surface roughness
Ra of the sapphire wafer decreased from 580.4 ± 52.7 nm at the initial stage to 8.1 ± 0.7 nm at 150 min, which can be observed in
Figure 10a. During this period, surface roughness
Ra decreased with an increase in processing time. Due to this, roughness can deteriorate even further, and the surface quality will not be significantly improved. Therefore, the best time for FAT processing may be 150 min. After repeating experiments three times, the average surface roughness
Ra was 8.0 ± 0.6 nm, and the material removal rate was 14.3 ± 1.2 nm/min. The three-dimensional surface morphology before and after FAT processing is shown in
Figure 10b,c.
There were no obvious scratches on the surface of the workpiece, but there were some pits and slight machining marks. It could be supposed that the material removal mechanism of the sapphire wafer comprised the following: the surface of the workpiece reacted with the SiO2 and Cr2O3 abrasives according to Formulas (2)–(4). Both SiO2 and Cr2O3 have a lower hardness than sapphire. Via the mechanical action of friction and extrusion, a solid-phase chemical reaction occurs between the sapphire workpiece and SiO2 and Cr2O3 abrasive particles. Then, a metamorphic layer is formed. The hardness of the reaction layer is lower than that of abrasive particles. As a result, there were some pits and slight scratches on the left surface of the workpiece.
- (2)
Fine polishing (CMP)
At this stage, all conditions were the same as those in the previous CMP experiment, except for the different processing methods used on the workpiece. With the increase in processing time, the surface quality was gradually improved. After 4 h, the pits and slight scratches were completely removed, the average
Ra was 0.4 ± 0.1 nm, and the material removal rate was 7.6 ± 0.8 nm/min. After that, machining was continued for 1.5 h. The results showed that the surface roughness had no obvious improvements. Therefore, it was considered that the best surface quality could be obtained after 4 h using CMP with a final
Ra of 0.4 ± 0.1 nm. The surface’s topography is shown in
Figure 11.
3.3.3. Comparison of the Two Methods
This experiment does not take the removal rate as the evaluation index, but it takes the final undamaged surface and the lowest surface roughness as the goal of the analysis. The total time of the first method (traditional sapphire production process) requires 8 h to achieve the best surface quality. Among them, the copper plate polishing (fine lapping) stage requires 1 h, the rough polishing stage requires 1 h, and CMP requires 6 h. The reason for the long CMP time is that a diamond abrasive was used for fine lapping and rough polishing. Diamond abrasives can cause a large number of scratches on the surface of workpieces, which require a long period of removal using CMP. The other method (FAT processing and CMP) requires 6.5 h to achieve the best surface quality. FAT processing requires 2.5 h, and CMP requires 4 h. Thus, FAT processing combined with CMP costs less time compared to the first method. Furthermore, the polishing plate’s rotation speed could be increased in the FAT processing experiment because FAT is almost unaffected by centrifugation. Higher processing efficiency could be obtained, and less time could be used by increasing the rotation speed of the polishing plate.