1：Experimental Design and Method Selection:

The study involved sintering LuAG:Pr ceramics at temperatures from 1400 to 1700 °C for 20 h in air without sintering aids, and comparing them to a Czochralski-grown single crystal. Various analytical techniques were used to characterize microstructure and luminescence.

2：Sample Selection and Data Sources:

Powders of (Lu0.99Pr0.01)3Al5O12 were synthesized via co-precipitation method, calcined at 1000 °C, pressed into pellets, and sintered. A single crystal was used as reference.

3：99Pr01)3Al5O12 were synthesized via co-precipitation method, calcined at 1000 °C, pressed into pellets, and sintered. A single crystal was used as reference. List of Experimental Equipment and Materials:

3. List of Experimental Equipment and Materials: Equipment included Rigaku Ultima IV X-ray diffractometer, Hitachi S3400 or S4800 SEM, Thermo-Scientific Nicolet 6700 FT-IR spectrometer, Freiberg Instruments Lexsyg Research spectrofluorometer with Varian Medical Systems VF-50J X-ray tube, Andor Technology Shamrock 163 spectrograph and DU920P-BU Newton CCD camera, Horiba Jobin-Yvon Fluorolog 3, and Thermo Scientific Harshaw TLD reader model 3500. Materials included Lu2O3 (99.995%, HEFA Rare Earth Canada Co.), nitric acid (Certified A.C.S., Spectrum), aluminum nitrate (98%, Alfa Aesar), praseodymium nitrate (99.9%, Acros Organics), ammonium hydroxide (Certified A.C.S Plus, Fisher Scientific), ultrapure water, and ethanol.

4：Materials included Lu2O3 (995%, HEFA Rare Earth Canada Co.), nitric acid (Certified A.C.S., Spectrum), aluminum nitrate (98%, Alfa Aesar), praseodymium nitrate (9%, Acros Organics), ammonium hydroxide (Certified A.C.S Plus, Fisher Scientific), ultrapure water, and ethanol. Experimental Procedures and Operational Workflow:

4. Experimental Procedures and Operational Workflow: Powders were co-precipitated, washed, dried, calcined, pressed into pellets, and sintered. Density was measured by Archimedes method, XRD for structural analysis, SEM for imaging and grain size determination, ATR FTIR for vibrational analysis, PL and PLE for photoluminescence, RL for radioluminescence under X-ray excitation, and TL for thermoluminescence after annealing and irradiation.

5：Data Analysis Methods:

Data analysis included calculating density relative to theoretical value, lattice parameter from XRD peaks, grain size using ASTM E 112-96, spectral fitting with Gaussian bands for RL and PL, and normalization and correction for surface area in TL measurements.