Because the influencing mechanism and regularity of diameter on the adsorption thermodynamics of nanowires are still unclear, the relations of adsorption thermodynamic properties of different diameters of nanowires is derived. Experimentally, we prepared CeO₂ nanowires with different diameters, and then the adsorption selectivity of CeO₂ nanowires to different dyes was researched. The adsorption thermodynamic properties of dyes with the best adsorption selectivity were determined, and the influences of the diameter on the adsorption thermodynamic properties were discussed. The experimental results show that the adsorption capacity for congo red is the strongest and that for methylene blue is the weakest. In addition, with the decreases of diameter of CeO₂ nanowires, the adsorption capacity and the adsorption Equilibrium constant increase, while ${\mathrm{\Delta }}_{\mathit{ads}}^{}{G}_m^o$, ${\mathrm{\Delta }}_{\mathit{ads}}{H}_m^o$ and ${\mathrm{\Delta }}_{\mathit{ads}}{S}_m^o$ decrease, and this thermodynamic properties are linearly related to the reciprocal of diameter, respectively. The experimental results agree with the thermodynamic theory of nanowire adsorption.

由于直径对纳米线吸附热力学的影响机理和规律尚不清楚，推导出不同直径纳米线的吸附热力学性质的关系。通过实验，我们制备了不同直径的CeO ₂纳米线，然后研究了CeO ₂纳米线对不同染料的吸附选择性。确定了吸附选择性最好的染料的吸附热力学性质，并讨论了粒径对吸附热力学性质的影响。实验结果表明，对刚果红的吸附能力最强，对亚甲蓝的吸附能力最弱。此外，随着CeO ₂直径的减小 纳米线，吸附容量和吸附平衡常数增加，而 ${\mathrm{\Delta }}_{\mathit{广告}}^{}{G}_{米}^{○}$, ${\mathrm{\Delta }}_{\mathit{广告}}{H}_{米}^{○}$ 和 ${\mathrm{\Delta }}_{\mathit{广告}}{秒}_{米}^{○}$减少，并且这种热力学性质分别与直径的倒数线性相关。实验结果与纳米线吸附的热力学理论一致。