Advances in Materials

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Surface Energy of Diamond Cubic Crystals and Anisotropy Analysis Revealed by Empirical Electron Surface Models

Received: 02 April 2019    Accepted: 09 May 2019    Published: 10 June 2019
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Abstract

A detailed knowledge of structure and energy of surface contributes to the understanding of many surface phenomena. In this work, the surface energies of 48 surfaces for diamond cubic crystals, including diamond (C), silicon (Si), germanium (Ge), and tin (Sn), have been studied by using the empirical electron surface models (EESM), extended from empirical electron theory (EET). Under the first-order approximation, the calculated results are in agreement with experimental and other theoretical values. It is also found that the surface energies show a strong anisotropy. The surface energy of close-packed plane (111) is the lowest one among all index surfaces. For the low-index planes, the order of the surface energies is γ(111) < γ(110) < γ(001). And surface energy variation of the (hk0) and (hhl) planes with the change of the included angle has also been analyzed. EESM provides a good basis for the surface research, and it also can be extended to more material systems. Such extensive results from the same theoretical model should be useful to understand various surface processes for theorists and experimentalists.

DOI 10.11648/j.am.20190802.14
Published in Advances in Materials (Volume 8, Issue 2, June 2019)
Page(s) 61-69
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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), 2024. Published by Science Publishing Group

Keywords

Surface Energy, Empirical Electron Theory, Dangling Bond, Valence Electron Structure, Diamond Cubic Crystals

References
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Author Information
  • Key Laboratory for Radiation Physics and Technology, Institute of Nuclear Science and Technology, Sichuan University, Chengdu, China

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    Baoqin Fu. (2019). Surface Energy of Diamond Cubic Crystals and Anisotropy Analysis Revealed by Empirical Electron Surface Models. Advances in Materials, 8(2), 61-69. https://doi.org/10.11648/j.am.20190802.14

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    Baoqin Fu. Surface Energy of Diamond Cubic Crystals and Anisotropy Analysis Revealed by Empirical Electron Surface Models. Adv. Mater. 2019, 8(2), 61-69. doi: 10.11648/j.am.20190802.14

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    AMA Style

    Baoqin Fu. Surface Energy of Diamond Cubic Crystals and Anisotropy Analysis Revealed by Empirical Electron Surface Models. Adv Mater. 2019;8(2):61-69. doi: 10.11648/j.am.20190802.14

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  • @article{10.11648/j.am.20190802.14,
      author = {Baoqin Fu},
      title = {Surface Energy of Diamond Cubic Crystals and Anisotropy Analysis Revealed by Empirical Electron Surface Models},
      journal = {Advances in Materials},
      volume = {8},
      number = {2},
      pages = {61-69},
      doi = {10.11648/j.am.20190802.14},
      url = {https://doi.org/10.11648/j.am.20190802.14},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.am.20190802.14},
      abstract = {A detailed knowledge of structure and energy of surface contributes to the understanding of many surface phenomena. In this work, the surface energies of 48 surfaces for diamond cubic crystals, including diamond (C), silicon (Si), germanium (Ge), and tin (Sn), have been studied by using the empirical electron surface models (EESM), extended from empirical electron theory (EET). Under the first-order approximation, the calculated results are in agreement with experimental and other theoretical values. It is also found that the surface energies show a strong anisotropy. The surface energy of close-packed plane (111) is the lowest one among all index surfaces. For the low-index planes, the order of the surface energies is γ(111) γ(110) γ(001). And surface energy variation of the (hk0) and (hhl) planes with the change of the included angle has also been analyzed. EESM provides a good basis for the surface research, and it also can be extended to more material systems. Such extensive results from the same theoretical model should be useful to understand various surface processes for theorists and experimentalists.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Surface Energy of Diamond Cubic Crystals and Anisotropy Analysis Revealed by Empirical Electron Surface Models
    AU  - Baoqin Fu
    Y1  - 2019/06/10
    PY  - 2019
    N1  - https://doi.org/10.11648/j.am.20190802.14
    DO  - 10.11648/j.am.20190802.14
    T2  - Advances in Materials
    JF  - Advances in Materials
    JO  - Advances in Materials
    SP  - 61
    EP  - 69
    PB  - Science Publishing Group
    SN  - 2327-252X
    UR  - https://doi.org/10.11648/j.am.20190802.14
    AB  - A detailed knowledge of structure and energy of surface contributes to the understanding of many surface phenomena. In this work, the surface energies of 48 surfaces for diamond cubic crystals, including diamond (C), silicon (Si), germanium (Ge), and tin (Sn), have been studied by using the empirical electron surface models (EESM), extended from empirical electron theory (EET). Under the first-order approximation, the calculated results are in agreement with experimental and other theoretical values. It is also found that the surface energies show a strong anisotropy. The surface energy of close-packed plane (111) is the lowest one among all index surfaces. For the low-index planes, the order of the surface energies is γ(111) γ(110) γ(001). And surface energy variation of the (hk0) and (hhl) planes with the change of the included angle has also been analyzed. EESM provides a good basis for the surface research, and it also can be extended to more material systems. Such extensive results from the same theoretical model should be useful to understand various surface processes for theorists and experimentalists.
    VL  - 8
    IS  - 2
    ER  - 

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