Dielectric relaxation of propylene carbonate (j) dissolved in p-xylene, cyclohexane and n-heptane (i) at different weight fractions (\( w_{j}^{{\prime }} \) s) of solutes for 28, 33 and 38 °C temperatures is studied under 3.8 GHz (S-Band), 7.2 GHz (C-Band), 10.5 GHz (X-Band) and 17.6 GHz (Ku-Band) electric field using simultaneously susceptibility (\( \chi_{ij}^{{\prime }} \) s) and conductivity (\( \sigma_{ij}^{{\prime }} \) s) measurement technique within the framework of Debye model. The existence of double relaxation times τ₂ and τ₁ due to inter- and intramolecular rotation of the polar molecules is studied from measured data of \( \chi_{ij}^{{\prime }} \left( { = \varepsilon_{ij}^{{\prime }} - \varepsilon_{\infty ij} } \right),\chi_{ij}^{\prime \prime } \left( { = \varepsilon_{ij}^{\prime \prime } } \right) \) and \( \chi_{0ij} \left( { = \varepsilon_{0ij} - \varepsilon_{\infty ij} } \right) \) at different weight fractions \( w_{j}^{{\prime }} \) s using slope and intercept of \( \frac{{\chi_{oij - } \chi_{ij}^{\prime } }}{{\chi_{ij}^{\prime } }} \) against \( \left( {\frac{{\chi_{ij}^{\prime \prime } }}{{\chi_{ij}^{\prime } }}} \right) \) linear equation to show the monorelaxation behaviour τ₂ only. τ’s are also estimated from the ratio of slopes of imaginary \( \sigma_{ij}^{\prime \prime } ( = w \in_{0} \in_{ij}^{{\prime }} ) \) and real \( \sigma_{ij}^{\prime } ( = \omega \in_{0} \in_{ij}^{\prime \prime } ) \) parts of complex conductivity \( \sigma_{ij}^{*} \) as well as \( \chi_{ij}^{'} \) and \( \chi_{ij}^{\prime \prime } \) parts of complex susceptibility \( \chi_{ij}^{*} \) with w_j curves along with linear slope of imaginary against real parts of both the measured data. The dipole moments \( \mu_{j}^{{\prime }} \) s are measured at all the frequencies in terms of graphically obtained τ’s from susceptibility measurement technique as well as τ’s from conductivity measurement technique. The solute–solvent molecular associations are also predicted. Thermodynamic energy parameters are ascertained from ln(τ_jT) against 1/T to predict the state of molecular environment surrounding the polar molecules. The estimated Debye factors reveal that the polar–non-polar mixture obeys the Debye relaxation mechanism. Sufficient penetration depth indicates development of a new simple and rapid sensor for determination of propylene carbonate concentration.

中文翻译：

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从宽带电场下的磁化率和电导率测量研究碳酸亚丙酯的介电弛豫

溶解在不同重量分数（\（w_ {j} ^ {{\ prime}} \） s）的对二甲苯，环己烷和正庚烷（i）中的碳酸亚丙酯（j）的介电弛豫28，33和38°C温度是在3.8 GHz（S波段），7.2 GHz（C波段），10.5 GHz（X波段）和17.6 GHz（Ku波段）电场下同时使用磁化率（\（\ chi_ { ij} ^ {{{\ prime}} \） s）和电导率（\（\ sigma_ {ij} ^ {{\\ prime}} \） s）在Debye模型框架内的测量技术。的双弛豫时间的存在τ ₂和τ ₁由\（\ chi_ {ij} ^ {{\ prime}} \ left（{= \ varepsilon_ {ij} ^ {{\ prime}}- varepsilon _ {\ infty ij}} \ right），\ chi_ {ij} ^ {\ prime \ prime} \ left（{= \ varepsilon_ {ij} ^ {\ prime \ prime}} \ right）\）和\（\ chi_ {0ij} \ left（{= \ varepsilon_ {0ij}-\ varepsilon _ {\ infty ij}} \ right）\）使用斜率在不同重量分数\（w_ {j} ^ {{\ prime}} \）上并截取\（\ frac {{\ chi_ {oij-} \ chi_ {ij} ^ {\ prime}}} {{\ chi_ {ij} ^ {\ prime}}}} \）对\（\ left（{ \压裂{{\ chi_ {IJ} ^ {\素\素}}} {{\ chi_ {IJ} ^ {\素}}}} \右）\）的线性方程，以显示monorelaxation行为τ ₂只要。τ也是从假想\（\ sigma_ {ij} ^ {\ prime \ prime}（= w \ in_ {0} \ in_ {ij} ^ {{\\ prime}}）\）的斜率比率估算的和实数\（\ sigma_ {ij} ^ {\ prime}（= \ omega \ in_ {0} \ in_ {ij} ^ {\ prime \ prime}）\）复电导率\（\ sigma_ {ij} ^ {*} \）以及\（\ chi_ {ij} ^ {'} \）和\（\ chi_ {ij} ^ {\ prime \ prime} \）复杂敏感度的部分\（\ chi_ {ij} ^ {*} \）的w _j曲线以及虚构曲线对两个测量数据的实部的线性斜率。偶极矩\（\ mu_ {j} ^ {{\\ prime}} \）s的在所有频率测量中获得的图形方面τ “从敏感性的测量技术，以及为S τ期从电导率测量技术”。还预测了溶质-溶剂分子的缔合。热力学能量参数是从确定LN（τ _Ĵ Ť）与1 / Ť预测围绕极性分子分子环境的状态。估计的德拜因子表明，极性-非极性混合物遵循德拜弛豫机制。足够的穿透深度表明开发了一种新的简单而快速的传感器，用于确定碳酸亚丙酯的浓度。