Information on the crystallography, electron and X-ray diffraction from austenite and ferrite.
The following images have kindly been provided by Andrew Fairbank who created them for teaching purposes. They are reproduced with permission.

Face-centred cubic, body-centred cubic and body-centred tetragonal arrangements of iron atoms. |

Face-centred cubic, body-centred cubic and body-centred tetragonal arrangements of iron atoms. |

Body-centred cubic and face-centred cubic (alternatively, cubic close-packed) arrangements of iron atoms. |

Carbon atom in an octahedral interstice in austenite. |

Carbon atom in an octahedral interstice in austenite, with the face-centering iron atom replaced into position. |

Carbon atom in an octahedral interstice in austenite. |

Carbon atom in an octahedral interstice in ferrite. |

Carbon atom in an octahedral interstice in ferrite. |

Carbon atom in an octahedral interstice in ferrite. |
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Possible position of carbon atom in a tetrahedral interstice in ferrite. Carbon prefers the octahedral interstices in ferrite.
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Possible position of carbon atom in a tetrahedral interstice in ferrite.
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Possible position of carbon atom in a tetrahedral interstice in ferrite. The strain energy is greater when carbon is in a tetrahedral interstice, because the expansion is isotropic, unlike the octahedral case where the strain is tetragonal.
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Possible position of carbon atom in a tetrahedral interstice in ferrite.
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Chromium atom substituted into ferrite. |

Chromium atom substituted into ferrite. |

Silicon atom substituted into ferrite. |

Atomic radii. It has been assumed in the preceding figures that iron has an atomic radius of 124 pm for all the crystal structures. |