In this work, the transport of the plasma injected solvated electron is experimentally studied using total internal reflection absorption spectroscopy (TIRAS). A recently derived a theoretical model predicts power-law scalings between the interfacial concentration n ₀ and penetration depth l with plasma current density j, namely and . Here, we extend this model to show that the optical absorption intensity should follow a power law behavior with current density, and we perform TIRAS measurements to confirm this behavior. By altering the ionic strength (salt concentration) of our electrolyte solution to control the current density, we find that at higher concentrations a scaling of approximately power is observed. However, the scaling is linear at lower concentrations, which we show is due to the transient response of the TIRAS experiment operating in a modulated mode. Ultimately, the experimentally-confirmed scaling law predicts approximate upper limits of penetration depth and interfacial concentration for solvated electrons, findings essential for tailoring plasma-liquid systems for specific applications.

在这项工作中，使用全内反射吸收光谱法（TIRAS）对注入等离子体的溶剂化电子的传输进行了实验研究。最近推导的理论模型预测了界面浓度n ₀和穿透深度l与等离子电流密度j（即和）之间的幂律定标。在这里，我们扩展了该模型以显示光吸收强度应遵循具有电流密度的幂律行为，并执行TIRAS测量以确认该行为。通过改变电解质溶液的离子强度（盐浓度）以控制电流密度，我们发现在较高的浓度下，比例大约为观察到功率。但是，缩放比例在较低浓度下是线性的，这是由于TIRAS实验在调制模式下进行的瞬态响应所致。最终，实验确认的定标定律预测了溶剂化电子的渗透深度和界面浓度的近似上限，这对于为特定应用定制等离子-液体系统至关重要。