In this study, $\beta -\text{Mn}{\mathrm{O}}_2$ nanorods (NRs) were produced by hydrothermal method to describe the dielectric response of electronics and human health monitor applications. The structural properties of synthesized $\beta -\text{Mn}{\mathrm{O}}_2$ NRs were identified using X-ray diffraction. Frequency variation of dielectric properties for $\beta -\text{Mn}{\mathrm{O}}_2$ NRs was characterized by impedance spectroscopy technique. The frequency evolution of the dielectric properties for sample is associated with electrode polarization in the low frequency region. Transmission properties of $\beta -\text{Mn}{\mathrm{O}}_2$ NRs were attributed to Kroop's theory, Maxwell-Wagner approach, viscoelastic mechanism and Brownian motion in the high frequency regime. The complex electric modulus based on Cole-Cole plots associated with equivalent RC circuit and their adapted to the Smith-Chart diagram is investigated for $\beta -\text{Mn}{\mathrm{O}}_2$ NRs in detail. Absorption coefficient (α) and relaxation times (τ) values for the sample were recorded 0.21 and 5.1766 × 10⁻⁵ in succession. Frequency exponent (s), which is a characteristic of conductivity, was found to be compatible with the Correlated Barrier Hoping conductivity model for $\beta -\text{Mn}{\mathrm{O}}_2$ NRs.

在这项研究中， $\beta -\text{锰}{\mathrm{Ø}}_{\mathrm{2个}}$纳米棒（NRs）是通过水热法生产的，用于描述电子设备和人体健康监测应用的介电响应。合成物的结构性质$\beta -\text{锰}{\mathrm{Ø}}_{\mathrm{2个}}$使用X射线衍射鉴定NR。介电特性的频率变化$\beta -\text{锰}{\mathrm{Ø}}_{\mathrm{2个}}$NR通过阻抗谱技术表征。样品介电性能的频率演变与低频区域中的电极极化有关。的传输特性$\beta -\text{锰}{\mathrm{Ø}}_{\mathrm{2个}}$NR归因于Kroop的理论，Maxwell-Wagner方法，粘弹性机制和高频状态下的布朗运动。基于与等效RC电路相关联的Cole-Cole曲线及其对Smith-Chart图的适应性，研究了复数模量$\beta -\text{锰}{\mathrm{Ø}}_{\mathrm{2个}}$NR的详细信息。样品的吸收系数（α）和弛豫时间（τ）值依次记录为0.21和5.1766×10 ^-5。频率指数（s）是电导率的特征，被发现与相关的势垒跳跃电导率模型兼容。$\beta -\text{锰}{\mathrm{Ø}}_{\mathrm{2个}}$ NR。