2026 · Materials & Design

Explainable machine learning reveals orbital design rules for reversible H2 adsorption on single-atom-doped TiO2 nanoparticles

Mustafa Kurban , Can Polat , Erchin Serpedin , Hasan Kurban

Research highlights

Orbital descriptors for reversible hydrogen storage

Distill hydrogen-adsorption calculations into interpretable screening rules for doped TiO2.

Why we investigated it

Reversible storage requires a suitable binding window across adsorption geometries, motivating descriptors that capture the underlying interaction.

What the work contributes

The study screens 30 dopants, selects a compact descriptor set, and fits an analytical model with symbolic regression.

What the evidence shows

H–H activation and dopant–H2 distance help explain adsorption behavior. Group 4 and 5 metals are the most robust candidates across the tested geometries.

Build on this work

Use the descriptor and geometry comparisons to prioritize dopants for subsequent adsorption and desorption studies.

  • Explainable machine learning
  • Hydrogen storage
  • Orbital descriptors
  • Symbolic regression
Abstract
Hydrogen is a promising energy carrier for decarbonized technologies, but reversible on-board storage remains challenging because efficient uptake and release under near-ambient conditions require a narrow adsorption-energy window. Here, we combine high-throughput electronic-structure calculations with explainable machine learning to uncover the governing factors of molecular hydrogen adsorption on single-atom-doped TiO 2 nanoparticles. Screening 30 dopants across perpendicular and parallel H 2 adsorption geometries reveals substantial variation in adsorption strength and clear configuration-dependent behavior. From a broad descriptor space, a three-stage feature-selection strategy identifies eight robust predictors, which are further reduced through symbolic regression to an analytical and interpretable model. The resulting descriptor space is governed by H–H activation, dopant–H 2 distance, and -electron rearrangement. Adsorption within the target window is associated with balanced -donation and -back-donation, with Group 4 and 5 transition metals emerging as the most robust candidates across geometries. Combined with Langmuir-based desorption estimates, these results provide a mechanism-based screening rule for reversible hydrogen storage on doped TiO 2 .
Cite
@article{kurban2026explainable,
  title = {Explainable machine learning reveals orbital design rules for reversible H2 adsorption on single-atom-doped TiO2 nanoparticles},
  author = {Mustafa Kurban and Can Polat and Erchin Serpedin and Hasan Kurban},
  year = 2026,
  journal = {Materials & Design},
  doi = {10.1016/j.matdes.2026.116401},
}