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Iron-iron carbide phase diagram

Short answer

The Fe–Fe3C diagram shows ferrite (α BCC), austenite (γ FCC), cementite (Fe3C), pearlite and ledeburite. Invariant reactions: peritectic 1495°C L+δ→γ, eutectic 1147°C L→γ+Fe3C, eutectoid 727°C γ→α+Fe3C. It guides heat treatment temperatures and phase fractions. Limitations: equilibrium only, excludes martensite/bainite, ignores alloy effects and kinetics.

Draw the iron-iron carbide equilibrium diagram, label the phases, temperatures and compositions, and explain the invariant reactions. State the applications and limitations of the diagram.

The Fe-Fe3_3C diagram shows the phases of plain carbon steels and cast irons against carbon content (0 to 6.67 wt% C, where Fe3_3C cementite forms) and temperature, under slow cooling.

 T(C)   (schematic)
 1538 +   Liquid (L)
 1495 +-- delta / peritectic (0.17%C)
 1147 +--- L + g ---- eutectic (4.3%C) -- L+Fe3C
      |  Austenite (g)   g+Fe3C   Ledeburite
  912 +-- a+g
  727 +--- eutectoid (0.76%C) ------------------
      |  Ferrite+pearlite | Pearlite+Fe3C | Cast
      +-----|-------|---------|-------|-----> %C
          0.022   0.76      2.14    4.3    6.67

Phases

  • Ferrite (α\alpha): interstitial solid solution of C in BCC iron, max 0.022% C at 727 °C. Soft, ductile.
  • Austenite (γ\gamma): C in FCC iron, max 2.14% C at 1147 °C. Non-magnetic, ductile, stable above 727 °C.
  • δ\delta-ferrite: C in BCC iron, up to 0.09% C at 1495 °C.
  • Cementite (Fe3_3C): hard, brittle compound with 6.67% C.
  • Liquid (L).

Invariant reactions

ReactionTemp.C contentEquation
Peritectic1495 °C0.17%L+δ⇌γL + \delta \rightleftharpoons \gamma
Eutectic1147 °C4.3%L⇌γ+Fe3CL \rightleftharpoons \gamma + \text{Fe}_3\text{C} (ledeburite)
Eutectoid727 °C0.76%γ⇌α+Fe3C\gamma \rightleftharpoons \alpha + \text{Fe}_3\text{C} (pearlite)

Critical lines: A1_1 (727 °C), A3_3 (GOS line, ferrite starts to form), Acm_{cm} (SE line, cementite starts to form from austenite).

Classification by carbon

  • Steel: up to 2.14% C (hypoeutectoid below 0.76, hypereutectoid 0.76-2.14).
  • Cast iron: 2.14-6.67% C (hypoeutectic below 4.3, hypereutectic above).

Applications

  • Selecting austenitising temperatures for annealing, normalising, hardening.
  • Predicting microstructure and phase fractions with the lever rule.
  • Understanding properties of steels and cast irons, and welding behaviour.

Limitations

  • It is an equilibrium diagram (very slow cooling); real heat treatment produces non-equilibrium phases such as martensite and bainite, which do not appear on it.
  • Alloying elements (Cr, Ni, Mn) shift transformation temperatures and the eutectoid composition; the diagram is valid only for plain carbon steel.
  • It gives no information about the rate of transformation (TTT/CCT diagrams are needed).
  • Cementite is actually metastable; graphite is the stable phase (Fe-C diagram).

✓ Answer checked by Claude Opus 5.5 (high effort)

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