The formation process of anodized nanotubes and the reason of volume expansion are still the focus of attention. So far, the traditional field-assisted dissolution and ejection mechanisms have only qualitatively discussed the phenomenon that the growth efficiency of the porous oxide film is about 60% of that of the barrier film, and the corresponding volume expansion factor is about 1.44 (2.4 × 60%). Here, the nanotubes prepared by applying different constant voltages in five kinds of NH₄F concentration electrolyte were studied in detail. For the first time, the charges transferred in the process of constant voltage anodization was calculated by integral, thus the volume expansion factors under different conditions were calculated. We found that when the number of charges transferred by the reaction was similar, the total volume hardly changed, and it is independent of the NH₄F concentration. The volume expansion factors (about 2.0) did not change with the increase of NH₄F content, which is contrary to the expectations of the field-assisted dissolution and ejection. This study will help to promote the qualitative to quantitative study of the volume expansion of anodized TiO₂ nanotubes under constant voltage. It is helpful to understand the growth kinetics of porous oxides.

阳极氧化纳米管的形成过程和体积膨胀的原因仍然是关注的焦点。迄今为止，传统的场辅助溶解和喷射机制仅定性讨论了多孔氧化膜的生长效率约为阻隔膜生长效率的 60%，相应的体积膨胀系数约为 1.44（2.4 × 60%）。这里，通过在五种 NH _{4 中}施加不同的恒压制备的纳米管F浓度电解液进行了详细研究。首次对恒压阳极氧化过程中转移的电荷进行积分计算，从而计算出不同条件下的体积膨胀系数。我们发现当反应转移的电荷数相似时，总体积几乎没有变化，并且与NH ₄ F浓度无关。体积膨胀系数（约2.0）不随NH ₄ F含量的增加而变化，这与场辅助溶解和喷射的预期相反。本研究将有助于推动阳极氧化TiO ₂体积膨胀的定性到定量研究。恒压下的纳米管。了解多孔氧化物的生长动力学是有帮助的。