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The dual-readout calorimeter is a new designed equipment to detect high-energy particles. It can collect the Cherenkov light and scintillation light at the same time, thus scientists can understand the particles comprehensively in the field of high-energy physics. Three types of dual-readout calorimeters have been designed so far: (1) Quartz fibers as Cherenkov emitter and plastic fibers as scintillator; (2) Undoped and doped scintillation crystals act as Cherenkov and scintillator respectively; (3) Scintillation crystal act as Cherenkov as well as scintillator. The last attracted much attention because it can avoid sampling fluctuations and enhance energy resolution of calorimeters. The progress on the scintillation crystals, including lead tungstate (PbWO4), bismuth germinate (Bi4Ge3O12), bismuth silicate (Bi4Si3O12) and lutetium aluminum garnet (Lu3Al5O12), were presented for the application of dual-readout calorimeter. Pr: PWO crystal and Bi4Si3O12 crystal have potential application in dual-readout calorimeter. It’s easy to separate the Cherenkov and scintillation light for Bi4Si3O12 crystal because the short-wavelength cut-off of Bi4Si3O12 crystal is small in comparison with Bi4Ge3O12 crystal. Bi4Si3O12 crystal shows more advantages and its properties can be further optimized by doping rare earth ions

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