Chapter 8 Solid Materials
8.11
CHAPTER SUMMARY AND OBJECTIVES Atoms in a metal pack like spheres to form the solid state. The basic unit that defines the way in which they pack is called the unit cell.
There are seven types of unit cells, but we
considered only the cubic unit cell, which consists of three types: simple cubic (
sc
), body-
centered cubic (
bcc
) and face-centered cubic (
fcc
). Each type of unit cell is characterized
by the number of atoms present in the unit cell, the coordination number of the atoms in the cell, and the packing efficiency of the cell. The
fcc
is the most tightly packed, with a
packing efficiency of 74%.
Atoms are held in a metal by metallic bonding. Metallic bonding is best understood in
terms of crystal orbitals and bands rather
than atomic orbitals and levels. Metallic
conductors are metals that have
partially filled bands. A band
filled with valence electrons
is called the valence band, while the empty
band above it is called
the conduction band.
The energy separation between the valence a
nd conduction bands is called the band gap.
Materials with small band gaps are semic
onductors because their conductivity increases
with temperature, while those with
large band gaps are insulators.
The sodium chloride structure is a cubic structure in which the sodium ions can be
viewed as occupying the void space in a closest packed arrangement of chloride ions (
fcc
).
It is the structure adopted by the alkali halid
es when the ion sizes are sufficiently different
to allow the smaller ion to fit into the void space without distorting the closest packed arrangement too much. When the anion and cati
on radii are similar, the sodium chloride
structure is a very inefficient way to pack th
e ions, so ionic solids in which the radii are
similar crystallize in the cesium chloride structure, which can be viewed as a
bcc
arrangement in which the cation is in the center and the anions are at the corners.
Network covalent solids are networks of
atoms held together by covalent bonds. The
structure of the solid is responsible for many of its properties. Thus, graphite is a lubricant because it consists of weakly interacting sheets that can slide over one another, while diamond is very hard due to the three-dimensional nature of its covalent bonds. Buckyball, C^60
, has the same shape as a soccer ball and many interesting properties. Nanotubes are
formed from sheets like those in
graphite that have been rolled up. Their conductivity has
led to their use as molecular wires and transistors. Zeolites are porous materials made from Al, Si, and O. The pores are large enough for
other molecules to enter and do chemistry.
Clays have a similar building block to zeolites,
but clays are composed of sheets rather
than pores and channels.
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