This paper introduces the relationship between X-ray line emission diagnosis and various physical quantities in the study of inertial confinement fusion, and briefly explains the diagnosis method and principle of X-ray crystal spectrometer. For different types of diagnosis, it introduces the functions and principles of different commonly used types of diffraction crystals. In addition, it introduces a new type of X-ray diagnostic method of multi-cone curved crystals, which has high light collection efficiency and at the same time ensures the delicate coupling of the back-end receiving device and reduces aberrations. Based on the study of the diffraction characteristics of the multi-cone curved crystal, X-Chase, an X-ray arbitrary surface crystal diffraction tracking simulation software, was developed. At the same time, the multi-cone crystal of H and He line emissions on the SG laser facility is utilized to demonstrate the code functions. The numerical simulation results show that the variable cone crystal has a good focusing ability.