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