Diagram Example :At a Constant Temperature 2b

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The chemical potential diagram for the La-Mn-O system at 1273 K.

1. Diagram : The three dimensional diagram in the μ(La)-μ(Mn)-μ(O) plot.
   
   
   
   
2. Description of Diagram Example : At a constant temperature (2b)
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   • In the La-Mn-O system, 8 phases appear at 1273 K; namely, Mn, MnO, Mn₃O₄, Mn₂O₃, MO₂, La, La₂O₃, and LaMnO₃.
     
   • In the Mn-O subsystem, four manganese oxides are arranged sequentially. The borderlines between those oxides are parallel because the respective lines have constant oxygen potentials. The oxygen potentials are related to the equilibrium oxygen potential for the following reactions;
     
     MnO = Mn + 0.5 O₂(g)
     Mn₃O₄ = 3MnO + 0.5 O₂(g)
     3Mn₂O₃ = 2Mn₃O₄ + 0.5 O₂(g)
     2MnO₂ = Mn₂O₃ + 0.5 O₂(g)
     
   • The stability region of LaMnO₃ appears between the manganese oxides and the lanthanum oxide. The three phase point of MnO, La₂O₃, and LaMnO₃ indicates the following reaction;
     
     LaMnO₃ = 0.5 La₂O₃ + MnO + 0.25 O₂(g)
     
   • The three phase point of MnO₂, La₂O₃ and LaMnO₃ indicates the following reaction;
     
     LaMnO₃ + 0.25O₂(g) =0.5 La₂O₃ + MnO₂
     
   • The stable oxygen potential region of LaMnO₃ is given from the above reducing and oxidizing equilibrium oxygen potentials.
     
   
   
3. Detailed procedure for reproducing Diagram Example At a constant temperature (2b)
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   1. [System] MALT

      Search Compounds

   Selection of <La,Mn,O> system

   2. Project > Chemical System

   3. [Chemical System] dialog
      
      • [Select Compound] page
        
        Selection by Default
        
        x Condensed phases
        o Respective Gaseous Species
        o Gaseous mixture
        

   4. Project > Specify Diagram

   5. [Diagram Specification]Dialog Main part
      
      • (1) Dimension SelectionPage
        
        Temperature
        
        x Fixed at 1273 K
        o Not Fixed
        
        Pressure
        
        x Fixed at 1 atm
        o Not Fixed
        

   6. Run > Calculation

   7. Diagram > Color Details

   8. [Diagram Action Form]
      
      (3) Polygon Color
      
      (1)Tricolors based on the Coordinates
      
      X-Axis red
      Y-Axis yellow
      Z-axis Blue
      
      {Colors based on Given Colors} Page
      
      1) Select first "Current TriColor" button
      2) Then, Select "LaMnO3" phase and
      
      Change Color to red