Topic 12: Ionic Bonding
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5 common AX structure types examples + coordination numbers
NaCl (Na^+ and Cl^-) 6 Zinc Blende/ZnS (Zn^2+ and S^2-) 4 NiAs (Ni^3+ and As^3-) 6 wurtzite/ZnS (Zn^2+ and S^2-) 4 CsCl (Cs^+ and Cl^-) 8
Many simple ionic solids can be described by … Anions are usually … than cations, therefore consider close-packed … arrays with … in the holes Remember the close-packed spheres only take up … of the available space
Starting from the packing of spheres larger anion cations 74%
Tetrahedral holes occur …
where a sphere from one layer is over the centre of a triangle in the layer above or below
Octahedral holes occur …
between layers where the centres of triangles from adjacent layers overlap
HCP Spheres, Octahedral holes tetrahedral holes
2 2 4
CCP Spheres, Octahedral holes tetrahedral holes
4 4 8
If the cation becomes larger so can its … It will push the anions apart until the cation radius gets large enough to … site where they again just touch
coordination number force the anions to rearrange and form a higher coordination number
Radius ratio =
radius of smaller ion/radius of larger ion
Coordination number 3 shape and radius ratio
trigonal planar < 0.255
Coordination number 4 shape and radius ratio
tetrahedral 0.225 - 0.413
Coordination number 6 shape and radius ratio
octahedral 0.414 - 0.731
Coordination number 8 shape and radius ratio
cubic 0.732 - 0.999
Coordination number 12 shape and radius ratio
close-packed 1
NaCl/rock salt properties
CCP anions Octahedral holes filled
Zinc blende/ZnS properties
CCP anions 1/2 Tetrahedral holes filled to minimise cation-cation repulsions
NiAs properties
HCP anions Octahedral holes filled
wurtzite/ZnS properties
HCP anions 1/2 Tetrahedral holes filled to minimise cation-cation repulsions
CsCl properties
Primitive Cubic array 8 coordination cation
Lattice Enthalpy (U)
The amount of energy required to break up a solid and form gaseous ions AX(s) → A+(g) + X–(g) High = stable
Hess’s Law
The energy change of a process depends only upon the energies of the initial and final states and not the route taken
z^+/z^- =
charges on the ions
e =
charge of an electron (1.602 × 10^–19 C)
d0 =
inter-atomic distance Add both radii together + convert to m
NA =
Avogadro’s constant 6.022 *10^23 mol^-1