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Based on the temperature dependence of spin fluctuations of magnetic ions,the exchange field Hexch acting on the rare-earth ions in Pr-substituted yttrium iron gaet (Pr:YIG) is modified,which is expressed as Hexch =no (1 + γT + βeωT)MYIG.By means of the improved exchange field,the magnetic and magneto-optical properties of Pr:YIG are calculated.The calculated results are in good agreement with the experimental data in the temperature range of 4.2 300 K.Our study implies that the spin fluctuations of magnetic ions have an important influence on the magnetic and magneto-optical properties of Pr:YIG at low temperature.