MINERALS AND SYNTHETIC COMPOUNDS, ABmXn, W/ CLOSE PACKED X ATOMS,

AND A ATOMS OCCUPY TETRAHEDRAL AND B ATOMS OCTAHEDRAL INTERSTICES

 
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Spinel

                  click here to see a key to this data bar                                  

tetra/octa

1/8,1/2

fcc

3-d

vertices, edges

A- 4c,B- 6c; X- 4c/fcc

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  structure

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. .
     In the spinel structure the X atoms are close packed and the A atoms occupy 1/8 .
of the tetrahedral interstices and the B atoms occupy 1/2 of the octahedral voids. .
Like the atacamite structure shown previously the occupancy rate of the octahedral
voids in successive layers alternates from 25% to 75%.  And, like atacamite, the BX6
coordination groups stack together so as to encompass large tetrahedral shaped
sections of the lattice where the octahedral voids are not occupied.  However, in
spinel an A atom occupies the central tetrahedral interstice present within these
sections.  As a result each X atom is tetrahedrally coordinated with one A atom and
three B atoms.
  .
Ex. MgAl2O4  ( magnesium aluminum oxide, spinel )    ( Mg - A , Al - B , O - X ) .
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Crystal lattice
     The lattice can be modeled identical to atacamite with the addition of the AX4
groups that are colored differently (orange in this image).  The location of an AX4
group in the center of the tetrahedral stack of BX6 groups is clearly shown by the
lattice model.  The percent occupation of the tetrahedral and octahedral voids can
also be deduced.
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spinel.gif

 
    Figure 107 -  Spinel lattice structure

click image to enlarge

                       
   
 
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Polyhedral framework
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linking surfaces

spinel.gif

 

  Figure 108 -  Spinel polyhedral
            framework model
           ( 152 T,  186 pinges )

AX4        BX6

                 click image to enlarge
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     The polyhedral framework model is especially useful for showing the linkage and
location of the AX4 and BX6 groups.
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Cleavage

 

 
     (111) separation plane (parallel to the plane of the BX6 coordination groups)
     
Crystal habit    
     octahedral, dodecahedral (rare), cubic (rare), twinning on (111)
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Isostructural minerals/compounds
  Normal spinel structure
  FeAl2O4, ZnAl2O4, MnAl2O4, ZnFe2O4, FeCr2O4,
  MgAl2O4, MgCr2O4, SiMg2O4 ( silicate spinel )
  Inverse spinel structure:  the inverse spinel structure is identical to spinel except
  that both the A and B atoms occupy, in a 1/1 ratio,  the tetrahedral interstices only
  occupied by A atoms in spinel; and both the A and B atoms, in a 1/2 ratio
  respectively, occupy the octahedral voids only occupied by B atoms in spinel.
  Fe2MgO4, Fe2MnO4, Al2MgO4, Fe2TiO4, Fe3O4, Mg2SiO4 ( silicate spinel)
.

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