Application of the cluster variation method to ε-Fe2N1-z and ζ-Fe2N: Ordering of interstitial atoms

S. Shang, A. J. Böttger

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The regular and the irregular trigonal prism approximations of the cluster variation method (CVM) are applied to investigate the ε-Fe2N1-z and the ζ-Fe2N phases. The ε-Fe2N1-z/ζ-Fe2N phase boundary, the types of interstitial ordering and the lattice parameters of the ε and ζ phases are calculated and compared with the available experimental data. In the composition range from 25 to 33 at.% N, long-range order occurs. The changes in the N distributions are associated with the strong repulsive interactions between neighbouring N atoms. The CVM results show that with increasing the N content towards 33 at.% N, the repulsive N-N interactions favour the distortion of the iron host lattice, thereby increasing the nearest-neighbouring distance between occupied sites, i.e. transformation to the ζ-Fe2N phase. The calculated interstitial site occupations are in good agreement with those proposed on the basis of experimental data obtained by Mössbauer spectroscopy and neutron diffraction.

Original languageEnglish (US)
Pages (from-to)3597-3606
Number of pages10
JournalActa Materialia
Issue number12
StatePublished - Jul 16 2003

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys


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