| Authors | S.M. Logvinkov1, O.M. Borysenko2, , R.V. Kryvobok2 , N.P. Klochko2, H.М. Shabanova2, А.М. Korohodska2, V.М. Shumeiko2, V.V. Voloshchuk2 |
| Affiliations | 1O.M. Beketov National University of Urban Economy in Kharkiv, 61002 Kharkiv, Ukraine 2National Technical University "Kharkiv Polytechnic Institute", 61002 Kharkiv, Ukraine |
| Е-mail | oksana.borysenko@khpi.edu.ua |
| Issue | Volume 17, Year 2025, Number 6 |
| Dates | Received 03 September 2025; revised manuscript received 15 December 2025; published online 19 December 2025 |
| Citation | S.M. Logvinkov, O.M. Borysenko, [footnoteRef:], и др., J. Nano- Electron. Phys. 17 No 6, 06031 (2025) |
| DOI | https://doi.org/10.21272/jnep.17(6).06031 |
| PACS Number(s) | 81.05.Je, 81.05.Mh |
| Keywords | Subsolidus structure, Triangulation, Solid-phase reactions, Reactive sintering, Elementary. |
| Annotation | A thermodynamic analysis of the subsolidus structure of the three-component BaO–TiO2–MgO system was carried out in the temperature range 1200-1600 K using calculations of Gibbs free energy changes for model solid-phase exchange reactions. It was determined that MgO is thermodynamically stable with all barium titanates, while BaTi4O9 coexists exclusively with magnesium titanates. Triangulation of the system revealed eight elementary triangles, defining the equilibrium phase combinations. The study highlights the possibility of targeted prediction of the phase composition of new ceramic materials based on a selected concentration point within an elementary triangle, e.g., BaTi4O9–MgTiO3–MgTi2O5. A rational approach of reactive sintering using pre-synthesized BaTi2O5 and MgTi2O5 is proposed to achieve the desired three-phase combination, controlling crystallite growth and optimizing structure-dependent dielectric properties. This method allows predicting volumetric changes and shrinkage, which is particularly important for the production of radio-technical ceramics. The results can be applied in designing new functional materials with tailored phase compositions and enhanced dielectric properties. |
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