Digitala Vetenskapliga Arkivet

Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Equilibrium vacancy concentrations and defect-driven homogeneity ranges in Ti-Al-C, Ti-Al-N, and Ti-Al-C-N MAX phases
GTT Technol, Germany.
Linköping University, Department of Physics, Chemistry and Biology, Materials design. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-5036-2833
Linköping University, Department of Physics, Chemistry and Biology, Materials design. Linköping University, Faculty of Science & Engineering.
GTT Technol, Germany.
2026 (English)In: Acta Materialia, ISSN 1359-6454, E-ISSN 1873-2453, Vol. 316, article id 122469Article in journal (Refereed) Published
Abstract [en]

A quantitative understanding of homogeneity ranges and the thermodynamic stability of vacancy formation in MAX phases is essential for tailoring their properties, yet a comprehensive link between atomic-scale energetics and macroscopic phase behavior has remained elusive. In this work, we bridge this gap by integrating density functional theory (DFT) calculations with the Calphad (Calculation of Phase Diagrams) approach to investigate the Ti-Al-C-N system. Our results demonstrate that the X-sublattice (C, N) in Tin+1AlXn phases (n = 1-3) can accommodate extensive vacancy solubility ranging from 13% to 30%, whereas vacancies on the Al-sublattice are energetically unfavorable under equilibrium conditions. By incorporating DFT-derived mixing enthalpies and vacancy formation energies into the thermodynamic model, we successfully reproduce experimental isothermal sections and quaternary phase equilibria, resolving long-standing literature discrepancies regarding the stoichiometry of carbonitride solid solutions. Furthermore, we apply the framework to describe constrained equilibria in nanoscale TiN/TiAl and Ti/AlN multilayers, accurately predicting phase evolution and defect concentrations in thin film systems where global equilibrium is kinetically hindered. This work provides a roadmap for defect engineering in MAX phases and establishes a predictive framework for designing parent materials to tailor the chemistry and active-site density of derived two-dimensional MXenes.

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD , 2026. Vol. 316, article id 122469
Keywords [en]
Defect engineering; MXene precursors; Point defects; DFT; CALPHAD
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:liu:diva-226897DOI: 10.1016/j.actamat.2026.122469ISI: 001808408000001Scopus ID: 2-s2.0-105042599803OAI: oai:DiVA.org:liu-226897DiVA, id: diva2:2094038
Note

Funding Agencies|Swedish Research Council [2023-04833, 2025-06131, 2022-06725]; Swedish Research Council [2023-04833] Funding Source: Swedish Research Council

Available from: 2026-08-20 Created: 2026-08-20 Last updated: 2026-08-20

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Dahlqvist, MartinRosén, Johanna
By organisation
Materials designFaculty of Science & Engineering
In the same journal
Acta Materialia
Condensed Matter Physics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 3 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf