## 3 Results and Discussion
### XRD Phase Composition Diagram of the Ceramic Material
As can be seen from  
Figure 2: XRD (XRD is the abbreviation of X-Ray Diffraction) diffraction analysis of the ceramic material. the analysis in SEM(Scanning electron microscope) morphology the presence of pores reduces the density of the material. Influence of Nano Coated CaF\({}_{2}\)@Al(Oh)\({}_{3}\) Powder on Al\({}_{2}\)O\({}_{3}\)/Ti(C,N) Ceramic Material  
The nano powder and nano coated powder have a crucial influence on the microstructure and mechanical properties of the ceramic material. The cross sections of the two ceramic materials were observed by scanning electron microscope (SEM). The results are displayed in Figure 5. Figure 5a is a SEM morphology photograph added with 10 vol\(\%\) nano CaF\({}_{2}\) powder. It can be found that a few grains have an abnormal growth and the grain distribution is not uniform. Figure 5b is a SEM morphology  
Figure 4: Mechanical properties of Al\({}_{2}\)O\({}_{3}\)/Ti(C,N) with ZrO\({}_{2}\) whisker. (**a**) Hardness and Flexural strength, (**b**) Fracture toughness and Relative density. Figure 3: SEM (Scanning electron microscope) morphology: (**a**) 3 vol\(\%\) ZrO\({}_{2}\); (**b**) 6 vol\(\%\) ZrO\({}_{2}\); (**c**) 9 vol\(\%\) ZrO\({}_{2}\); (**d**) mark 1 partial enlargement of (**c**). paragraph added with 10 vol% nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder. Compared to the material added with the same components, the nano CaF\({}_{2}\) powder, the grain distribution is uniform and the density of the material is superior to the former. In Figure 5b, the material of the surface coating is nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder. Moreover, the nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder is well combined with the ceramic matrix. Compared with the added nano CaF\({}_{2}\) powder, there are many intragranular structures in the ceramic material. The intragranular structures have a good effect on enhancing the mechanical properties of ceramic material [36]. In the sintering process of the material, with the growth of crystal grains, the nano powders enter the crystal with the motion of boundaries of particles. The matrix grains merge and grow, forming the intragranular structures. The nano CaF\({}_{2}\) can be considered as completely entering the crystal. From Figure 5b, the fracture mode is mainly intergranular fracture, and partly transgranular fracture, which can also be found. The transgranular fracture consumes quantities of fracture energy, which is conducive to enhance mechanical properties. This is also one of the main reasons for the improvement of the mechanical properties of the prepared ceramic material. Nano coated powder contributes to the dispersion of CaF\({}_{2}\) in ceramic matrix material. As it can be found from Figure 5b, CaF\({}_{2}\) is more evenly distributed in the matrix material. The results of adding 5 vol%, 10 vol% and 15 vol% nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder on the mechanical properties of the Al\({}_{2}\)O\({}_{3}\)/Ti(C,N) ceramic material are displayed in Figure 6. From Figure 6a, with the increasing addition of CaF\({}_{2}\)@Al(OH)\({}_{3}\), the hardness is prone to decrease. The main reason is the low mechanical properties of the CaF\({}_{2}\). The increase in lubricant addition inevitably leads to a decrease in the hardness and other properties. The flexural strength of the ceramic material first increases and afterward decreases. When the addition of nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder is 10 vol%, the flexural strength is up to 471 MPa. From Figure 6b, with the increasing addition of nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder, the fracture toughness is increased from the initial 6.50 MPa\(\cdot\)m\({}^{1/2}\) to 6.60 MPa\(\cdot\)m\({}^{1/2}\). The main reason may be that the presence of massive nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder enhances the material's fracture toughness. The relative density of the ceramic material shows a trend of increasing first and afterward decreasing.