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An Ab Initio Insight into the Structural, Mechanical, Electronic and Optical Properties of Cesium Based Double Perovskites Cs2Ge2X6 (X=Cl, Br, I)

Received: 30 September 2026     Accepted: 14 October 2026     Published: 28 October 2026
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Abstract

The Cubic Cs2Ge2X6 (X=Cl, Br, I) double perovskite's structural, electronic, elastic, mechanical stability, phonons and optical properties are examined within the framework of Density Functional Theory (DFT). The calculated formation energy ∆HF and Goldschmidt tolerance factor (t) confirm the stability of the cubic phase in Cs2Ge2X6 (X = Cl, Br, I) compounds. Direct band gap (Eg) values for Cs2Ge2Cl6, Cs2Ge2Br6, and Cs2Ge2I6 are 1.02 eV, 0.98 eV, and 0.89 eV, correspondingly. Excellent optical absorption qualities were revealed by the computed absorption spectra of Cs2Ge2Cl6, Cs2Ge2Br6, and Cs2Ge2I6 indicating their applicability for photovoltaic applications. Based on the calculated optical spectra of the investigated compounds, the noted maximum absorption coefficients were 1.8 × 105cm-1 for Cs2Ge2Cl6, 3.3 × 105 cm-1 for Cs2Ge2Br6 and 8.8 × 104 cm-1 for Cs2Ge2I6. Among the investigated compounds, Cs2Ge2B6 exhibited the highest absorption coefficient, indicating high light harvesting capability and making it the most suitable candidate for thin film solar cells. Although Cs2Ge2Cl6 displays a slightly lower absorption coefficient, it possesses excellent optical absorption in the visible and ultraviolet regions. The high absorption coefficient demonstrate that these materials are perfect for solar cells.

Published in American Journal of Science, Engineering and Technology (Volume 11, Issue 4)
DOI 10.11648/j.ajset.20261104.35
Page(s) 450-466
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2026. Published by Science Publishing Group

Keywords

DFT, Double Perovskites, All-inorganic, Photovoltaics, Cs2Ge2X6 (X=Cl, Br, I)

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Cite This Article
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    Gabriel, M. M., Ngugi, F., Mulwa, W. M. (2026). An Ab Initio Insight into the Structural, Mechanical, Electronic and Optical Properties of Cesium Based Double Perovskites Cs2Ge2X6 (X=Cl, Br, I). American Journal of Science, Engineering and Technology, 11(4), 450-466. https://doi.org/10.11648/j.ajset.20261104.35

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    ACS Style

    Gabriel, M. M.; Ngugi, F.; Mulwa, W. M. An Ab Initio Insight into the Structural, Mechanical, Electronic and Optical Properties of Cesium Based Double Perovskites Cs2Ge2X6 (X=Cl, Br, I). Am. J. Sci. Eng. Technol. 2026, 11(4), 450-466. doi: 10.11648/j.ajset.20261104.35

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    AMA Style

    Gabriel MM, Ngugi F, Mulwa WM. An Ab Initio Insight into the Structural, Mechanical, Electronic and Optical Properties of Cesium Based Double Perovskites Cs2Ge2X6 (X=Cl, Br, I). Am J Sci Eng Technol. 2026;11(4):450-466. doi: 10.11648/j.ajset.20261104.35

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  • @article{10.11648/j.ajset.20261104.35,
      author = {Mutava Mutinda Gabriel and Fidelis Ngugi and Winfred Mueni Mulwa},
      title = {An Ab Initio Insight into the Structural, Mechanical, Electronic and Optical Properties of Cesium Based Double Perovskites Cs2Ge2X6 (X=Cl, Br, I)},
      journal = {American Journal of Science, Engineering and Technology},
      volume = {11},
      number = {4},
      pages = {450-466},
      doi = {10.11648/j.ajset.20261104.35},
      url = {https://doi.org/10.11648/j.ajset.20261104.35},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajset.20261104.35},
      abstract = {The Cubic Cs2Ge2X6 (X=Cl, Br, I) double perovskite's structural, electronic, elastic, mechanical stability, phonons and optical properties are examined within the framework of Density Functional Theory (DFT). The calculated formation energy ∆HF and Goldschmidt tolerance factor (t) confirm the stability of the cubic phase in Cs2Ge2X6 (X = Cl, Br, I) compounds. Direct band gap (Eg) values for Cs2Ge2Cl6, Cs2Ge2Br6, and Cs2Ge2I6 are 1.02 eV, 0.98 eV, and 0.89 eV, correspondingly. Excellent optical absorption qualities were revealed by the computed absorption spectra of Cs2Ge2Cl6, Cs2Ge2Br6, and Cs2Ge2I6 indicating their applicability for photovoltaic applications. Based on the calculated optical spectra of the investigated compounds, the noted maximum absorption coefficients were 1.8 × 105cm-1 for Cs2Ge2Cl6, 3.3 × 105 cm-1 for Cs2Ge2Br6 and 8.8 × 104 cm-1 for Cs2Ge2I6. Among the investigated compounds, Cs2Ge2B6 exhibited the highest absorption coefficient, indicating high light harvesting capability and making it the most suitable candidate for thin film solar cells. Although Cs2Ge2Cl6 displays a slightly lower absorption coefficient, it possesses excellent optical absorption in the visible and ultraviolet regions. The high absorption coefficient demonstrate that these materials are perfect for solar cells.},
     year = {2026}
    }
    

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  • TY  - JOUR
    T1  - An Ab Initio Insight into the Structural, Mechanical, Electronic and Optical Properties of Cesium Based Double Perovskites Cs2Ge2X6 (X=Cl, Br, I)
    AU  - Mutava Mutinda Gabriel
    AU  - Fidelis Ngugi
    AU  - Winfred Mueni Mulwa
    Y1  - 2026/10/28
    PY  - 2026
    N1  - https://doi.org/10.11648/j.ajset.20261104.35
    DO  - 10.11648/j.ajset.20261104.35
    T2  - American Journal of Science, Engineering and Technology
    JF  - American Journal of Science, Engineering and Technology
    JO  - American Journal of Science, Engineering and Technology
    SP  - 450
    EP  - 466
    PB  - Science Publishing Group
    SN  - 2578-8353
    UR  - https://doi.org/10.11648/j.ajset.20261104.35
    AB  - The Cubic Cs2Ge2X6 (X=Cl, Br, I) double perovskite's structural, electronic, elastic, mechanical stability, phonons and optical properties are examined within the framework of Density Functional Theory (DFT). The calculated formation energy ∆HF and Goldschmidt tolerance factor (t) confirm the stability of the cubic phase in Cs2Ge2X6 (X = Cl, Br, I) compounds. Direct band gap (Eg) values for Cs2Ge2Cl6, Cs2Ge2Br6, and Cs2Ge2I6 are 1.02 eV, 0.98 eV, and 0.89 eV, correspondingly. Excellent optical absorption qualities were revealed by the computed absorption spectra of Cs2Ge2Cl6, Cs2Ge2Br6, and Cs2Ge2I6 indicating their applicability for photovoltaic applications. Based on the calculated optical spectra of the investigated compounds, the noted maximum absorption coefficients were 1.8 × 105cm-1 for Cs2Ge2Cl6, 3.3 × 105 cm-1 for Cs2Ge2Br6 and 8.8 × 104 cm-1 for Cs2Ge2I6. Among the investigated compounds, Cs2Ge2B6 exhibited the highest absorption coefficient, indicating high light harvesting capability and making it the most suitable candidate for thin film solar cells. Although Cs2Ge2Cl6 displays a slightly lower absorption coefficient, it possesses excellent optical absorption in the visible and ultraviolet regions. The high absorption coefficient demonstrate that these materials are perfect for solar cells.
    VL  - 11
    IS  - 4
    ER  - 

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Author Information
  • Department of Basic Sciences, Tharaka University, Marimanti, Kenya

  • Department of Basic Sciences, Tharaka University, Marimanti, Kenya

  • Department of Physics, Egerton University, Egerton, Kenya

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