Optimizing TiO₂ Nanotube Arrays via Soft–Hard Template for Superior Field Emission Performance
Abstract
Highly ordered TiO2 nanotube (TNT) arrays were fabricated by combining a hard anodic aluminum oxide (AAO) template with a soft block‑copolymer (PS‑b‑PEO) scaffold. The soft template, complexed with titanium‑tetraisopropoxide (TTIP), controls the grain size of the calcined TiO2. We found that the field‑emission (FE) characteristics are strongly governed by the grain size, which in turn depends on the PS‑b‑PEO/TTIP blend ratio. The optimal composition (TTIP/PEO = 3.87) yielded a remarkably low turn‑on field of 3.3 V µm–1 and a peak current density of 7.6 mA cm–2 at 12.7 V µm–1. This performance is attributed to a reduced effective work function (1.2 eV) arising from the fine TiO2 grains.
Background
One‑dimensional nanomaterials, particularly TiO2 nanotubes (TNTs), are attractive for electron field‑emitter applications due to their high aspect ratio, low intrinsic work function (≈ 4.5 eV) and excellent oxidation resistance. The field‑emission performance of TNT arrays is known to depend on geometric factors—diameter, height, wall thickness, density—and on the regularity of the array. Recent advances in template‑based synthesis, especially the use of AAO membranes as hard templates, have enabled the creation of highly ordered nanotube arrays with controllable spacing and length. Complementary soft‑template strategies using block copolymers allow fine tuning of grain size and wall thickness. By integrating both approaches, we can independently tailor macro‑scale array geometry and nano‑scale tube properties, which is critical for optimizing FE performance.
Methods
AAO membranes (Whatman, Germany) with ~200 nm pores and 60 µm thickness served as the hard template. PS‑b‑PEO (Sigma‑Aldrich) with MW 58,500–37,000, 58,600–71,000, and 60,000–14,500 g mol–1 and TTIP (Sigma‑Aldrich) were dissolved in chloroform at varying blend ratios (see Table 1). After 5 h stirring at room temperature, the solutions filled the AAO channels via capillary action. Samples were dried at 120 °C for 12 h under vacuum, calcined at 450 °C for 2 h in air, and the alumina scaffold was removed by 3 M NaOH for 1 h. Final rinsing and drying at 40 °C for 24 h completed the process (Scheme 1). Morphology was examined by Hitachi S‑4800 FESEM (5 kV). X‑ray diffraction (Rigaku smartlab3) collected at 2° min–1 provided grain size estimates via the Debye–Scherrer equation. FE measurements employed a diode configuration with a 150 µm anode gap in a 2 × 10–6 Torr vacuum chamber.

Preparation of TNT arrays using soft–hard template integration
Results and Discussion
SEM images (Fig. 1) confirm vertically aligned, ~200 nm diameter TNTs with consistent ordering across all samples. XRD patterns (Fig. 2) show sharp anatase TiO2 peaks at 25°, 38°, and 48°, indicating strong (101) orientation. Grain sizes derived from the (101) peak broadenings (Table 1) increase with higher TTIP content (S1 → S3). This trend directly correlates with FE behavior: S1 (grain size 10.7 nm) exhibits the lowest turn‑on field (3.3 V µm–1) and the highest current density (7.6 mA cm–2 at 12.7 V µm–1), whereas S2 and S3 (12.5 nm and 14.9 nm) require >10 V µm–1 to initiate emission and show no clear threshold within the studied range.

SEM images of TNTs: (a) side view; (b) top view

XRD profiles of TNT arrays
Fowler–Nordheim analysis (Fig. 3a) confirms that emission follows quantum tunneling. Turn‑on and threshold fields are defined at 0.01 and 1.0 mA cm–2, respectively. Sample S1 shows exceptional stability over 180 min at 10 V µm–1 (Fig. 3b). To isolate grain‑size effects, additional samples (S4, S5) were fabricated with similar tube thickness but varying grain sizes. Their average turn‑on fields were 4.2 V µm–1 (S4) and 8.7 V µm–1 (S5), reinforcing the conclusion that finer grains reduce the effective work function and thus lower the required field.

Current density–electric field (J–E) plot (a) and long‑term stability at 10 V µm–1 (b)

(a) J–E plot; (b) Fowler–Nordheim linear fits
From the slope of the FN plots, effective work functions were extracted: 1.2 eV (S1), 1.5 eV (S4), and 2.1 eV (S5), assuming a field‑enhancement factor of 445. The dramatic reduction in work function for the smallest grains is attributed to increased grain‑boundary density, which elevates the Fermi level and lowers the potential barrier for electron tunneling. This grain‑boundary‑driven mechanism explains the superior FE performance of the finely grained TNT arrays.
Conclusions
By integrating hard AAO and soft PS‑b‑PEO templates, we achieved highly ordered TiO2 nanotube arrays with controllable grain sizes. The study establishes a clear, quantitative link between grain size and field‑emission performance: smaller grains enhance grain‑boundary conduction, elevate the Fermi level, reduce the effective work function, and ultimately deliver lower turn‑on fields and higher current densities. These insights provide a practical pathway for designing next‑generation nano‑emitters with tailored electronic properties.
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