For magnetic hyperthermia (MHT) applications the magnetic nano-particles (NPs) should have high saturation magnetization M, low coercive field H_c, Curie temperature T_C ≈ 315 K, size d < 20 nm and biocompatibility. M is very small in undoped CeO₂ NPs but doping with transition metal ions could enhance M. To observe an increase of M and a decrease of H_c the enhanced oxygen vacancies, the interaction between the Ce³⁺ ions composed on the surface, and the exchange interactions between the Ce ions and the Co, Fe, Ni ions are considered. We have calculated selfconsistently the temperature, size, shape and doping ion concentration dependence of M, H_c and T_C in undoped and Co, Fe and Ni doped CeO₂ NPs using a microscopic model and the Green's function technique. In conclusion, appropriate for application in MHT could be Co, Fe and Ni doped spherical CeO₂ NPs with size of d = 10 nm and doping concentration x = 0.07, 0.05 and 0.06, respectively. For these values the Curie temperature is observed as T_C = 315 K.

对于磁热疗（MHT）应用的磁性纳米颗粒（纳米颗粒）应该有高饱和磁化强度中号，低的矫顽场ħ _Ç，居里温度Ť _Ç  ≈315 K，尺寸d  <20nm且生物相容性。中号是非常小的在未掺杂的CeO _2个纳米颗粒，但与过渡金属离子掺杂可提高中号。为了观察到M的增加和H _c的减少，提高了氧空位，Ce ³⁺之间的相互作用考虑在表面上形成的离子，以及Ce离子与Co，Fe，Ni离子之间的交换相互作用。我们使用显微镜模型和格林函数技术，自洽地计算了未掺杂以及Co，Fe和Ni掺杂的CeO ₂ NPs中M，H _c和T _C的温度，尺寸，形状和掺杂离子浓度依赖性。总之，适用于MHT的分别是Co，Fe和Ni掺杂的球形CeO ₂ NP，尺寸分别为d  = 10 nm和掺杂浓度x  = 0.07、0.05和0.06。对于这些值，居里温度为T _C  = 315K。