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  • Open Access

Geometric origin of oxygen ordering and the solubility limit in niobium

Dingxin Fan1,*, Guangming Cheng1,*, Kyle Zhao2, and Nan Yao1,†

  • *These authors contributed equally to this work.
  • †Contact author: nyao@princeton.edu

Phys. Rev. Research 8, 043125 – Published 4 November, 2026

DOI: https://doi.org/10.1103/3l34-v1x8

Abstract

We investigate early-stage Nb oxidation by combining first-principles calculations with high-resolution transmission electron microscopy. An ordered ε phase is identified, in which O atoms occupy octahedral interstitial sites in an alternating layered configuration. Oxygen incorporation proceeds through geometrically open surface sites and is directed toward octahedral interstitial sites. A descriptor-based analysis shows that O–O separations within this interstitial sublattice capture the dominant trend in incorporation stability. As oxygen concentration increases, unfavorable short-range O–O interactions become unavoidable, leading to a rapid increase in free energy and providing a geometric mechanism that limits further oxygen incorporation.

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