2
376
J. Li et al. / Materials Research Bulletin 47 (2012) 2375–2379
2
+
2+
the substitution of (Li0.5La0.5
microwave dielectric properties of (1 ꢀ x)CaTiO
ceramics were investigated as a function of (Li0.5La0.5)TiO
0.2 ꢂ x ꢂ 0.8). The effects of A-site and B-site bond valences in
ABO perovskite compounds on the microwave dielectric proper-
ties were also discussed.
)
for Ca . In this study, the
–x(Li0.5La0.5)TiO
content
given atom, i, calculated using Eqs. (4) and (5) [17],
3
3
X
V
¼
y
(4)
(5)
3
i
i j
(
3
Ri j ꢀ d
i j
yi j ¼ exp b
c
0
b
2
. Experimental procedure
where Rij is the bond valence parameter, dij is the length of a bond
between atom i and j, and b is commonly taken to be a universal
0
(
1 ꢀ x)CaTiO
prepared by a conventional solid-state reaction method using
high-purity grade powders of CaCO , Li CO , La , and TiO as
starting materials. These starting materials were weighed accord-
ing to the desired stoichiometry of CaTiO and (Li0.5La0.5)TiO , and
3
–x(Li0.5La0.5)TiO
3
(0.2 ꢂ x ꢂ 0.8) ceramics were
˚
constant equal to 0.37 A. The used bond valence parameters were
followed the values in the previous report [17].
3
2
3
2
O
3
2
3. Results and discussion
3
3
then wet ball milled in ethanol for 24 h in polyethylene bottles
with zirconia balls, respectively. After dried at 80 8C for 6 h, the two
mixed powders were calcined at 1100 8C for 3 h in air.
Subsequently, the calcined powders were mixed according to
Fig. 1 shows the XRD patterns of (1 ꢀ x)CaTiO
3 3
–x(Li0.5La0.5)TiO
(
hereafter referred to as (1 ꢀ x)CT–xLLT, 0.2 ꢂ x ꢂ 0.8) ceramics
sintered at 1300 8C for 3 h. All peaks can be indexed based on CaTiO
JCPDS #42-423) with an orthorhombic perovskite structure and no
3
(
the composition of (1 ꢀ x)CaTiO
3
–x(Li0.5La0.5)TiO
3
(0.2 ꢂ x ꢂ 0.8)
second phase was detected, indicating the formation of(1 ꢀ x)CT–xLLT
solid solution. The (1 ꢀ x)CT–xLLT solid solution exhibits the same
and remilled 24 h in ethanol. Finally, the fine powders with 8 wt.%
PVA solution as a binder were uniaxially pressed at 100 MPa, and
then cold isostatically pressed into pellets with dimensions of
3 3
orthorhombic perovskite structure as CaTiO because CaTiO is
3
orthorhombic and has a GdFeO -type perovskite structure with lattice
1
2 mm diameter and 6 mm thickness under a pressure of 300 MPa.
˚
˚
˚
parameters a = 5.442 A, b = 7.6417 A and c = 5.3807 A and with space
These pellets were sintered at 1300 8C for 3 h in air. After cooled
from 1300 to 1000 8C with a rate of 2 8C/min, the ceramics were
naturally cooled inside the furnace.
The bulk densities of the sintered pellets were measured by
the Archimedes method in distilled water. The phase constitu-
groupPnma(JCPDS#42-423),though(Li0.5La0.5)TiO
3
iscubicperovskite
structure with lattice parameter a = 3.869 A with space group Pm 3¯ m
JCPDS #89-4928). This result is similar to those previous reports on
1 ꢀ x)CaTiO –x(Li0.5Sm0.5)TiO , (1 ꢀ x)CaTiO –x(Li0.5Nd0.5)TiO and
–x(Li0.5Nd0.5)TiO ceramic systems [10,18,19].
˚
(
(
3
3
3
3
(
1 ꢀ x)(Ca0.7Nd0.2)TiO
3
3
ents were identified by the X-ray diffraction method using Cu K
a
Thediffractionpeaksslightlyshifttoaloweranglewiththeincreaseofx
radiation (40 kV and 20 mA, XRD, D8 Advance, Bruker, Germany).
The lattice parameters were determined from X-ray diffraction
patterns with the least square method [13]. The microstructures
of the sintered surfaces were observed by scanning electron
microscopy (SEM, JEOL JSM 6490, Japan). All pellets for SEM
observation were polished and thermally etched at 1200 8C for
value,whichimpliesthattheunitcellvolumegraduallyincreasesdueto
2+
2+
˚
a larger effective radius of (Li1/2La1/2
)
(1.18 A) than that of Ca
1.12 A) at the same coordination number [20]. Similar result was
–x(Li0.5Nd0.5)TiO ceramic system [3].
˚
(
reported for (1 ꢀ x)CaTiO
3
3
Table 1 summarizes the lattice parameters and densities of
(
1 ꢀ x)CT–xLLT ceramics sintered at 1300 8C for 3 h. The lattice
3
0 min. The dielectric constant and unloaded Q value at
parameters were calculated from the XRD diffraction patterns
microwave frequencies were measured using the Hakki–Cole-
man dielectric resonator method, as modified and improved by
Courtney [14,15]. The temperature coefficient of resonant
using the least square method. With the increase of (Li0.5La0.5)TiO
referred to as LLT) content, the lattice parameters of a, b, c axes and
unit cell volume of (1 ꢀ x)CT–xLLT increase. The relative densities
shown in Table 1) for all compositions are higher than 96%,
3
(
f
frequency (t ) was measured in a temperature range from 25
(
to 80 8C and the
t
f
value was calculated with the following
suggesting that dense (1 ꢀ x)CT–xLLT ceramics with various x
values can be obtained after sintering at 1300 8C for 3 h. The bulk
density steadily increases with the increasing LLT content owing to
equation:
f80 ꢀ f
3
25
6
ꢄ
t f
¼
ꢁ 10 ðppm= CÞ
(1)
the larger density (4.839 g/cm obtained from JCPDS #89-4928) of
f25 ꢃ 55
where f25 and f80 are the resonant frequency at 25 and 80 8C,
respectively.
The observed ionic polarizability (aobs) of the sintered
samples was determined by the unit-cell volume obtained from
lattice parameter and measured dielectric constant using the
Clausius–Mossoti equation of Eq. (2) [16]. The theoretical ionic
polarizability (atheo) was calculated by the additive rule of Eq. (3)
with ionic polarizabilities of cation and oxygen, as reported by
Shannon [16].
V
m
ð
e
r
ꢀ 1Þ
aobs
¼
(2)
bð
e
r
þ 2Þ
atheoðABO
3
Þ ¼
a
A
þ
a
B
þ 3
a
O
(3)
where
abilities;
oxygen;
volume and b is a constant of 4
of atom i, V
a
obs and
a
theo are the observed and theoretical polariz-
, and the ionic polarizability of A-site, B-site and
is the measured dielectric constant, V is the molar
/3, respectively. The bond valence
, was defined as the sum of all the valences ij from a
a
A
,
a
B
a
O
e
r
m
p
Fig. 1. X-ray diffraction patterns of (1 ꢀ x)CaTiO –x(Li0.5La0.5)TiO3 ceramics
3
sintered at 1300 8C for 3 h.
i
n