Ion-surface interactions and analysis Open access Peer reviewed

Trajectory-dependent electronic stopping in simulations of self-ion ranges in elemental semiconductors

Rafael Nuñez-Palacio, Glen Pádraig Kiely, Artur Tamm, Andrea E. Sand

npj Computational Materials | Oct 3, 2026

Abstract

Abstract

Abstract Characterizing how materials respond to energetic-particle irradiation is fundamental to a wide range of semiconductor processes. However, the deceleration of energetic particles in solids remains an active area of research due to the complex nature of energy exchange between ionic and electronic systems. Recently, the advent of two-temperature molecular dynamics models has enabled more realistic simulations of this highly anisotropic deceleration process. In this work, we present a parametrization of the unified two-temperature model for self-ions in elemental semiconductor crystals that accurately reproduces the electronic stopping values obtained from real-time time-dependent density functional theory (rt-TDDFT). This includes channeled and incommensurate trajectories, as well as collision-like interactions. Using this model, we obtain ion range profiles that closely match available experimental data. We present penetration profiles for principal channeling directions and random trajectories. In the process, we characterize rt-TDDFT electronic stopping in germanium and diamond and extend existing results for silicon.

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Authors

Researchers on this paper

Rafael Nuñez-Palacio

first | Aalto University | ORCID 0009-0001-3166-1667

Glen Pádraig Kiely

middle | Aalto University | ORCID 0000-0001-6016-8305

Artur Tamm

middle | University of Tartu | ORCID 0000-0003-3699-680X

Andrea E. Sand

last | Aalto University | ORCID 0000-0001-9041-1468

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Citation

BibTeX

@article{NuezPalacio2026Trajectory,
  title = {Trajectory-dependent electronic stopping in simulations of self-ion ranges in elemental semiconductors},
  author = {Rafael Nuñez-Palacio and Glen Pádraig Kiely and Artur Tamm and Andrea E. Sand},
  journal = {npj Computational Materials},
  year = {2026},
  doi = {10.1038/s41524-026-02347-9},
  url = {https://doi.org/10.1038/s41524-026-02347-9}
}

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