NiFe${}_2$O${}_4$ & NiFe_1.925R_0.075O${}_4$ (R = Lu, Yb & Y) samples conductivity response for alternating current (${\sigma }_{ac}$) in the high temperature region (300 K to 570 K), and for direct current conductivity (${\sigma }_{dc}$) response in the temperature range 80 K–300 K were investigated. For all the investigated samples ${\sigma }_{ac}$ increases with raising frequency owing to transfer of charge carriers at the two octahedral sites containing Fe^3＋ or Ni${}^{2+}$. The total ${\sigma }_{ac}$ was observed to follow $\sigma$ = D + B${\omega }^n$ where the frequency exponent n, initially decreases and then increases following overlapping large polaron model. The behaviour of ${\sigma }_{ac}$ with temperature reveals the semiconducting behaviour of the investigated samples. The Arrhenius plots of ${\sigma }_{ac}$ shows two regions of conductivity suggesting two types of relaxation phenomena. The ${\sigma }_{dc}$, also increases with increasing temperature, owing to the raise in the thermally stimulated drift mobility of charge carriers. The decrease in the activation energy with decreasing temperature corresponds to small polaron hopping mechanism.

镍铁${}_2$Ø${}_4$和镍_铁1.925 R _0.075 O${}_4$ （R = Lu，Yb和Y）采样交流电的电导率响应（${\sigma }_{\mathrm{一种}C}$）在高温区域（300 K至570 K），对于直流电导率（${\sigma }_{dC}$）研究了在80 K–300 K温度范围内的响应。对于所有调查的样本${\sigma }_{\mathrm{一种}C}$由于载流子在两个含有Fe ³⁺或Ni的八面体位置上的转移而随频率的增加而增加${}^{2+}$。总数${\sigma }_{\mathrm{一种}C}$ 被观察到跟随 $\sigma$ = D + B${\omega }^{ñ}$频率指数n最初在重叠大极化子模型之后开始降低，然后增加。的行为${\sigma }_{\mathrm{一种}C}$温度的变化揭示了所研究样品的半导体行为。的阿累尼乌斯情节${\sigma }_{\mathrm{一种}C}$显示了两个导电区域，表明两种类型的松弛现象。的${\sigma }_{dC}$由于温度升高，电荷载流子的热激发漂移迁移率也随之增加。活化能随温度降低而降低，对应于较小的极化子跳跃机制。