the Ewald method as well as local charge density [11]. It is seen that the large
negative potential is localized on the O
3
oxygen atom. When the electric field is
applied, B a
2þ
and Ti
4þ
cations move to the direction opposite to that of the
oxygen atom. Thus, a net dipole moment is created in the unit cell. According
to the Slater theory [11], the electrostatic field is strongly affected by the atoms
locatedinO
3
sites; thus, a large dipole moment is generated in BaTiO
3
.
Electrical conductivity and superconductivity: One of the most well known
properties of perovskite oxides is superconductivity. In 1984, superconductivity
was first reported by Bednorz and Mu
¨
ller in La-Ba-Cu-O perovskite oxide [12].
After their report, much attention was paid to new types of high-temperature
oxide superconductors, mainly Cu-based oxides. As a result, several supercon-
ducting oxides with different A-site cations have been discovered. However, the
presence of Cu on the B site was found to be essential for superconductivity to
occur. High-temperature oxide superconductors of the YBa
2
Cu
3
O
7
system [13]
and the Bi
2
Sr
2
Ca
2
Cu
3
O
10
system [14] were reported in 1987 and 1988, respec-
tively, and currently the critical temperature of the superconducting transition
(T
c
) has been further increased to 130–155 K in the HgBa
2
Ca
2
Cu
3
O
8+d
system
[15]. As all high-temperature superconducting oxides are cuprites (Cu-based
oxides), superconductivity is clearly related to the Cu-O layers. The critical
temperature for superconductivity, T
c
, is related to the number of Cu-O layers
in the crystal structure:
One Cu-O layer: T
c
30 K
Two Cu-O layers: T
c
90 K
Three Cu-O layers: T
c
110 K
Four Cu-O layers: T
c
120 K
It is expected that further increase in the number of Cu-O layers may result
in higher values of T
c
. However, because of the low chemical stability, synthesis
of five or more Cu- O layered compounds has not been successful so far.
YBa
2
Cu
3
O
7
is one of the most important superconductor systems with high
T
c
, and detailed studies of its crystal structure have been performed. Also,
the content of oxygen nonstoichiometry is an important factor for high T
c
.
When the value of d is smaller than 0.5, YBa
2
Cu
3
O
7–d
crystallizes in an orthor-
hombic structure, which is superconductive, whereas for d > 0.5, YBa
2
Cu
3
O
7–d
has a tetragonal structure, which does not exhibit superconductivity. Figure 1.8
shows the crystal structures of both oxygen-deficient phases in YBa
2
Cu
3
O
7–d
.
The main difference between the tw o structures is that the incorporation of
oxygen in the lattice expands the b lattice parameter to a greater extend than the
a lattice parameter. Those changes in crystal structure are related to the oxygen
content, which is determined by the annealing temperature and oxygen partial
pressure during postannea ling treatment. As discussed, superconductivity in
high T
c
oxides is also dependent on the crystal structure; thus, the high chemical
stability of the perovskite crystal structure could be effective in achieving high
values of T
c
.
1 Structure and Properties of Perovskite Oxides 9