用德拜松弛法计算甲醇介电常数的优化

T. Ikyumbur, M. Onimisi, S. Abdu, E. Hemba, Z. Kirji
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引用次数: 8

摘要

使用德拜弛豫方程及其导数分析了纯甲醇在10°C至50°C温度范围内的介电常数和损耗因子,单位为兆赫和千兆赫。这样做是为了确定哪个频率范围具有最高的介电常数和最小的损耗因子。绘制了介电常数和损耗因数随频率变化的曲线图。这些结果也被用于绘制科尔-科尔图。结果表明,甲醇的介电常数在频率为0.05GHz时较高,并且随着频率和温度的升高而降低。然而,当频率增加到1.0GHz以上时,介电常数随着温度的增加而增加。结果还表明,甲醇实际上形成了一个半圆,这表明溶剂确实表现出德拜弛豫模型。在Cole-Cole图中观察到一些差异,这可能只是由于甲醇中弛豫时间的分布。研究人员得出结论,甲醇的介电常数以兆赫为单位高于以千兆赫为单位。另一方面,损耗因子在较低频率下较小,但随着频率的增加,损耗因子也增加到最大值。然而,当频率在达到其最大值之后增加时,损耗因子减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimization in the Computation of Dielectric Constant of Methanol Using Debye Relaxation Method
The Debye relaxation equation and its derivatives were used to analyze dielectric constant and loss factor of pure methanol in megahertz and gigahertz over the temperature range of 10°C to 50°C. This was done in order to ascertain which of the frequency ranges has the highest dielectric constant and least loss factor. The graphs of dielectric constant and loss factor were plotted against the frequency. The results were also used to plot Cole-Cole diagrams. The results revealed that the dielectric constant of methanol is higher at frequency 0.05 GHz and decrease as both frequency and temperature increases. However, as the frequency increases beyond 1.0 GHz the dielectric constant increase as the temperature increases. The results also showed that methanol actually formed a semi-circle which suggested that the solvent indeed exhibits Debye relaxation model. There were some discrepancies observed in the Cole-Cole plots which may just be attributed to the distribution of the relaxation times in the methanol. The researchers conclude that dielectric constant of methanol is higher in megahertz than those in gigahertz. The loss factor on the other hand was small at lower frequencies but as the frequency increases the loss factor also increases to a maximum value. The loss factor however decreased when the frequency increases after attaining its maximum.
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