Li Mobility in the Orthorhombic Li
0.18
La
0.61
TiO
3
Perovskite Studied by NMR and Impedance
Spectroscopies
M. A. Parı ´s and J. Sanz*
Instituto de Ciencia de Materiales de Madrid (CSIC), Cantoblanco, 28049 Madrid, Spain
C. Leo ´n and J. Santamarı ´a
Departamento de Fı ´sica Aplicada III, Facultad de Ciencias Fı ´sicas,
Universidad Complutense de Madrid, 28040 Madrid, Spain
J. Ibarra and A. Va ´ rez
Departamento de Materiales, Escuela Polite ´ cnica Superior, Universidad Carlos III de Madrid,
28911 Legane ´ s, Spain
Received August 6, 1999. Revised Manuscript Received March 23, 2000
Electrical conductivity and NMR relaxation times (T
1
and T
2
) have been determined in
the Li
0.18
La
0.61
TiO
3
perovskite. At room temperature, the unit cell constants are a ) 3.865-
(1), b ) 3.876(1), and c ) 7.788(2) Å and the space group Pmmm (orthorhombic). In this
doubled perovskite, the Rietveld analysis of the X-ray powder pattern showed that La ions
occupy preferentially one type of sites (z/c ) 0), and Li and vacancies accommodate with the
remaining La at the second site (z/c ) 0.5). From this fact, Li motion should be favored in
the plane ab; however, exchanges of Li between contiguous layers are detected above 200 K
by NMR spectroscopy. From T
1
and T
2
NMR data, two main relaxation mechanisms have
been detected, which have been ascribed to localized exchanges (200-273 K) and extended
motions of Li (above 273 K). The dc conductivity shows a non-Arrhenius temperature
dependence, and local activation energies of 0.41 and 0.26 eV were obtained in the low- and
high-temperature ranges, respectively. Both NMR and electrical conductivity relaxations
are described by “stretched exponential” functions, characteristic of correlated ion motions.
1. Introduction
Interest in solid electrolytes for use in solid-state
batteries has increased in recent years. Lithium-based
systems are attractive due to high energy densities and
high open circuit potentials. In particular, lithium
lanthanum titanates with perovskite structure exhibit
one of the highest conductivities reported at room
temperature (10
-3
S/cm).
1
In this family of compounds,
the poor coordination of Li and the presence of abundant
vacant equivalent sites enhances Li mobility.
1,2
On the
other hand, ionic conductivity depends on cations oc-
cupying A sites of the perovskite; lanthanide ions with
a smaller radius than La depress Li mobility, while Sr
with a larger radius, improves slightly the conductiv-
ity.
2,3
The progressive substitution of Li for La in
Li
3x
La
2/3-x
TiO
3
perovskites reduces slightly the unit cell
size but increases the conductivity.
4
At present, the
influence of the structure on ionic conductivity has not
been established, being necessary additional work to
understand the causes that enhance the Li mobility in
these compounds.
NMR spin-lattice relaxation (SLR) and electrical
conductivity relaxation (ECR) techniques have been
often proposed to study cation mobility in solids. In
lithium lanthanum perovskites, relaxation functions
describing either SLR or ECR show significant devia-
tions from the simple exponential behavior, character-
istic of ideal Bloembergen-Purcell-Pound (BPP) or
Debye-like relaxations.
5,6
These deviations have been
described using stretched exponentials of the Kohl-
rausch-Williams-Watts (KWW) form,
7
f(t) ) exp[-(t/
τ)
], with ≈ 0.4 taking into account of correlation
effects in ion motion. Activation energies corresponding
to short- and long-range motions of Li in these perovs-
kites verified the expression E
m
) E
M
,
5
deduced from
the coupling and jump relaxation models.
8,9
Alterna-
tively, SLR and ECR data taken in different perovskites
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(5) Leo ´n, C.; Lucı ´a, M. L.; Santamarı ´a, J.; Parı ´s, M. A.; Sanz, J.;
Va ´rez, A. Phys. Rev. B 1996, 54, 184.
(6) Emery, J.; Buzare, J. Y.; Bohnke, O.; Fourquet, J. L. Solid State
Ionics 1997, 99, 41.
(7) Kohlrausch, R. Ann. Phys. Lpz. 1847, 72, 393.
(8) Ngai, K. L. Comments Solid State Phys. 1979, 9, 121; 1980,9,
141. Ngai, K. L. Effects of Disorder on Relaxational Processes; Springer-
Verlag: Berlin, 1994.
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1694 Chem. Mater. 2000, 12, 1694-1701
10.1021/cm9911159 CCC: $19.00 © 2000 American Chemical Society
Published on Web 05/16/2000