Theoretical modification of Hume Rothery condition of phase stability in a good agreement with experimental data

Authors

  • Tarek El Ashram Physics Department, Faculty of Science , Port Said University, Port Said, Egypt

DOI:

https://doi.org/10.24297/jap.v9i3.1354

Keywords:

Fermi shpere, Brillouin zone, Valence electron concentration VEC, Hume Rothery condition

Abstract

We presented in this paper a theoretical modification of Hume Rothery condition of phase stability in good agreement with experimental data. This modification is derived directly from the quantum conditions on the free electron Fermi gas inside the crystal. The new condition relates both the volume of Fermi sphere VF and volume of Brillouin zone VB by the valence electron concentration VEC as ;13.JPGfor tetragonal and hexagonal systems and as131313.JPGfor cubic systems.

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Author Biography

  • Tarek El Ashram, Physics Department, Faculty of Science , Port Said University, Port Said, Egypt

    Physics Department

    Assocaite Professor

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Published

2015-07-21

Issue

Vol. 9 No. 3

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Theoretical modification of Hume Rothery condition of phase stability in a good agreement with experimental data. (2015). JOURNAL OF ADVANCES IN PHYSICS, 9(3), 2503-2508. https://doi.org/10.24297/jap.v9i3.1354

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