In the present work, the HoFeO₃ and HoFe_0.8Sc_0.2O₃ nanoparticles prepared by the solution combustion method have been studied to understand their structural, dielectric, and magnetic properties. The refined X-ray diffraction pattern (XRD) confirms the single-phase formation with orthorhombic structure having space group Pbnm (D_2h¹⁶). The average crystallite size observed in nanometer for both samples and field emission-scanning electron microscopy (FE-SEM) confirms that the grain sizes were about in the region of micrometer. The temperature-dependent dielectric parameters were obtained such as the real part of the dielectric constant, dielectric loss tangent, and AC conductivity studied with frequency. The real part of the dielectric constant is high at lower frequencies and it is constant at higher frequency region. This sort of dielectric behavior can additionally be clarified based on various polarization mechanisms happening in various frequency ranges. The dielectric loss tangent increases with temperature. For both samples, the AC conductivity increases with temperature and frequency. The magnetic transitions and magnetic parameters were studied through the temperature-dependent susceptibility and field-dependent magnetization. For HoFeO₃ and HoFe_0.8Sc_0.2O₃, the Neel temperature transition at 5 and 8 K was observed which is characterized to the antiferromagnetic nature. The M-H loop confirms the antiferromagnetic nature at 5 K for HoFeO₃ and the ferromagnetic nature at 5 K for HoFe_0.8Sc_0.2O₃. Overall, it confirms the changes of nature from antiferromagnetic nature to ferromagnetic nature after substitution of Sc³⁺ on HoFeO₃.

在当前的工作中，已经研究了通过溶液燃烧方法制备的HoFeO ₃和HoFe _0.8 Sc _0.2 O ₃纳米颗粒，以了解它们的结构，介电和磁性能。精细的X射线衍射图谱（XRD）证实了具有空间群Pbnm的正交结构的单相形成（D _2h ¹⁶）。对于样品和场发射扫描电子显微镜（FE-SEM），在纳米中观察到的平均晶粒尺寸证实了晶粒尺寸大约在微米范围内。获得随温度变化的介电参数，例如介电常数的实部，介电损耗正切和随频率研究的交流电导率。介电常数的实部在较低频率下较高，而在较高频率区域内则恒定。可以基于在各种频率范围内发生的各种极化机制，进一步阐明这种介电行为。介电损耗角正切随温度增加。对于这两个样品，交流电导率均随温度和频率而增加。通过与温度有关的磁化率和与磁场有关的磁化强度研究了磁跃迁和磁参数。对于HoFeO₃和HoFe _0.8 Sc _0.2 O _3时，观察到5和8 K时的Neel温度转变，其特征是反铁磁性。MH回路确定了HoFeO ₃在5 K时的反铁磁性和HoFe _0.8 Sc _0.2 O ₃在5 K时的铁磁性。总的来说，它证实了在HoFeO ₃上取代Sc ³⁺后，性质从反铁磁性变为铁磁性。