Z-level diagrams for prototypical crystal structures
John Suddard-BangsundUseful web resource:
http://www.chemtube3d.com/solidstate/_spinel(final).htm
Cesium Chloride
z=0,1 z=1/2
KeyCs+
Cl-
Diamond
z=0,1 z=1/4 z=1/2
z=3/4
KeyC
Zinc Blende (ZnS)
z=0,1 z=1/4 z=1/2
z=3/4
KeyZn
S
Fluorite (CaF2)
z=0,1 z=1/4 z=1/2
z=3/4
KeyCa2+
F-
AntiFluorite (Na2O)
z=0,1 z=1/4 z=1/2
z=3/4
KeyNa+
O2-
Perovskite (CaTiO3)
z=0,1 z=1/2Key
Ca
Ti
O
Rutile (TiO2)
Rutile (TiO2)
z=0,1
KeyTi
O2-
z=1/2
Corundum (Al2O3)
Corundum (Al2O3) (drawn in hexagonal)
z=0,1 z=1/4, 3/4
z=1/2
KeyZn
S
Corundum (Al2O3) (drawn in rhombohedral)Note: this is not technically correct because it doesn’t have all of the
possible symmetry elements.
z=0,1 z=1/4, 3/4 z=1/2
KeyZn
S
α-Quartz (SiO2) Trigonal
z=0,1 z=1/8 z=1/4 z=1/3 z=5/8
z=2/3 z=3/4 z=7/8
Wurtzite (ZnS or SiC)
Wurzite (ZnS or SiC)
z=0,1
KeyZn
S
Wurzite (ZnS or SiC)
z=3/8
KeyZn
S
Wurzite (ZnS or SiC)
z=1/2
KeyZn
S
Wurzite (ZnS or SiC)
z=7/8
KeyZn
S
Spinel (MgAl2O4)
Spinel (MgAl2O4)
z=0,1
KeyMg
Al
O
Spinel (MgAl2O4)
z=0,1
KeyMg
Al
O
Spinel (MgAl2O4)
z=1/8, 180 rotation of 7/8
KeyMg
Al
O
Spinel (MgAl2O4)
z=1/4, 180 rotation of 3/4
KeyMg
Al
O
v
Spinel (MgAl2O4)
z=3/8, 180 rotation of 5/8
KeyMg
Al
O
Spinel (MgAl2O4)
z=1/2
KeyMg
Al
O
v
Inverse Spinel (Mg2TiO4): I’m not doing this one because it’s exhausting