J Electroceram (2010) 25:179–187
DOI 10.1007/s10832-010-9613-8
Low-temperature sintering of BaTiO3 with Mn-Si-O glass
Jerry C. C. Lin & Wen-Cheng J. Wei
Received: 4 March 2009 / Accepted: 21 May 2010 / Published online: 8 June 2010
# Springer Science+Business Media, LLC 2010
Abstract In order to reduce sintering temperature and
prevent adverse dielectric effects, pure BaTiO3 powder with
the addition of Mn-Si-O glass was sintered in the
temperature range of 1175–1300°C. Microstructural observation showed that BaTiO3 grains of the sintered samples
only grew from the initial 400 nm to an average of 430 nm
between 1175–1275°C for 1 h, or sintered at 1250°C as
long as 27 h. Abnormal BaTiO3 grains are not found in the
sintered samples. The microstructure and phase analysis
showed that the dielectric properties, tetragonality, and
grain growth of BaTiO3 are closely controlled by the
formation of the liquid phase, newly formed Ba2TiSi2O8
grains, and Mn solid solution in BaTiO3 grains.
Keywords BaTiO3 . Sintering . Mn2O3 . SiO2
1 Introduction
Liquid phase sintering has been one of the critical
challenges in MLCC technologies in past decade. Glass
phase usually segregates to grain boundaries and degrades
the dielectric properties of the ceramic device [1–3]. In
some cases, the addition of sintering aids can not only
contribute to the formation of liquid phase, but also
enhance BaTiO3 exaggerated grain growth in the dielectric
layer by lower temperature sintering [4, 5]. Besides, the
liquid phase offers a route for quick diffusion of various
dopants [6, 7].
J. C. C. Lin : W.-C. J. Wei (*)
Institute of Materials Science and Engineering,
National Taiwan University,
Taipei, Taiwan
e-mail: wjwei@ntu.edu.tw
SiO2 is a glass former which is able to be alloyed with
manganese (Mn) oxide to form eutectic liquid at ~1200°C. In
addition, using Mn as the electron trapper in reducing
sintering of base-metal-electrode (BME) capacitor is a wellknown method. The valence state of Mn changes according
to the oxidation condition, and the ions offer good atomic
site on electron trapping as the reaction shown below [8].
MnTi þ ne ! MnTi n
ð1Þ
Mn ions offer the valence transition to balance free
electrons from the donation of the oxygen vacancy of
BaTiO3 by reducing sintering [9].
NullBT ! V02þ þ 2e
ð2Þ
Temperature flattening characteristics (TFC) of BaTiO3
after extra element doping is also critical to the applications
of multi-layer capacitors (MLCs). The X7R case with
capacitance variation (∆C/C) in ±15% between −55∼125°C
is usually resulted by the formation of core-shell structure of
BaTiO3 grains [10–12]. The shell part appears cubic-phase,
which is resulted from the substitution of Ba2+ or Ti4+ sites
(also called “A and B” sites) by doping elements, for
instance Mg, Y, Ho, etc [13, 14]. The core part shows
tetragonal structure, where fewer or no solid solution is
resulted. Due to small amount of Mn ion being added to
BaTiO3, the Mn content is difficult to be detected. Therefore,
solid-solution of Mn ion into BaTiO3 is also discussed in this
study by different characterization techniques.
In order to lower the sintering temperature and minimize the
grain size of BaTiO3, one kind of glassy powder in one
composition of Mn-Si-O eutectics was investigated to resolve
the reactions at interface and the microstructure evolution at
temperatures above 1050°C. Following the previous study
[15], the glass is employed as a sintering aid in this study. The
180
objective of this work is to investigate the effects of Mn-Si-O
glass on the sintering of BaTiO3. This paper will critically
examine the evolution of densification and growth processes,
and relate these results to presence of the liquid phase and any
secondary phases. Lastly, the paper will examine the relation
of these processes and the presence of second phases to the
dielectric performance of the ceramic material.
2 Experimental procedures
2.1 Sample preparation
1.5 Mn2O3-2SiO2 powder mixture was melted at 1400°C for
1 h and then cooled in water to produce the glass frits. Glass
powder was ground by high-purity Al2O3 mortar and pestle
and passed the screen of 200 mesh. The ground glass powder
was added into BaTiO3 (Yageo Corp., Taiwan, A/B=1.000
with an average particle size of 0.40 μm) which was mixed
in aqueous solution (pH=∼10.5, controlled by ammonia)
with a small amount of dispersant. After ball milling for
24 h, green disks were formed by pressure casting, called
“PC-BT”. The other samples prepared with various amounts
of the glass addition were die-pressed at the pressure of
100 MPa, called “DP-BT”. The detail procedures for the
preparation of DP-BT sample are described as below.
BaTiO3 powder was first mixed with various amounts of
the glass (0.1∼3.0 wt%) in ethanol by ball milling for 24 h.
After dried in an oven, the dried powder was ground and
then sieved through 200 meshes before die-pressing. The
power (0.20 g) was uni-axially pressed into a disk of 6.0 mm
in diameter and 2.5∼3.0 mm in thickness. Green samples,
DP- and PC-BT, were sintered at 1100∼1300°C for various
durations in air.
2.2 Property measurements
The sintering behavior of glass-added BT was analyzed by
using a thermo-mechanical analyzer (TMA, SETSYS TMA
16/18, SETRAM Co., France). Sintered density of the
samples was measured by Archimedes’ method, and the
theoretical density of each sample was calculated based on
the theoretical density (T.D.) of BaTiO3 (5.87 g/cm3) and
the as-prepared Mn-Si-O glass (3.87 g/cm3, by Accu Pyc
1330, Micromeritics, USA). Two dielectric properties,
including dielectric constant (k) and dielectric loss (tanδ)
of sintered BaTiO3 disks were measured. Ag paste was
painted on each side of the sintered disks, and served as
electrodes. The condition of 600°C for 1 h with a heating
rate of 1°C/min was used to bake the painted samples.
Finally, the dielectric constant and dielectric loss were both
measured by an impedance analyzer, (6420, Wayne Kerr,
England) under 1 V, 1 kHz.
J Electroceram (2010) 25:179–187
Variation of the lattice parameters (tetragonality = c/a) of
sintered BT was studied by X-ray diffractometry (Philips
PW 1972, Philips Instrument, Netherlands) using Cu Kα
radiation. The peaks in XRD spectrum were best fitted and
analyzed by the software of Jade-5 and Cell-Parameter to
get precise lattice parameters (a and c lattice constants).
The polished and thermally etched BaTiO3 sintered
samples were observed by SEM equipped with EDS (SEM
1530, Leo Co., Netherlands). A detailed microstructure
analysis was completed using transmission electron microscopy (TEM 100CX, JEOL Co., Japan) and TEM equipped
with EDS (FEG-TEM, Tecnai G2F20, Philips Co., USA).
The average grain size of BT was measured by using the
linear intercept technique from SEM and TEM micrographs.
3 Results
3.1 Sintering behavior of glass-added PC-BT
The shrinkage behavior of two samples, pure BT and 1 wt%
glass-added PC-BT, is shown in Fig. 1(a). The onset
temperature of the sintering of the samples is 1020°C and
1080°C, respectively. The higher onset temperature of the
glass-added sample was probably caused by the expansion
of glass phase in BaTiO3 disk coming from the melting of
the glass and the dissolution of BaTiO3 into the glass [15].
The dynamic shrinkage curve of 1 wt% glass-added PC-BT
exhibits multiple maximum shrinkage rates, which could be
partially resulted from the compositional variation of liquid
phase or formation of crystalline phases during heating
[16]. The maximum densification rate of the glass-added
sample occurred at ∼1175°C, lower than that of pure
BaTiO3. This implies that some of the glass had become
liquid wetting on BaTiO3 particles at 1175°C.
Figure 1(b) shows the results of sintered density and
average grain size of the PC-BT disks. Noticeable densification of the sample started around the temperature of
1100∼1150°C and full densification was achieved at
≥1200°C. The average grain size of BaTiO3 changed from
the initial 400 nm to an average of 430 nm after sintering at
1250°C, showing slightly grain growth with this liquid
phase. The standard deviation of the grain size is ∼220 nm.
The microstructural observation of the sintered PC-BT
disks is shown in Fig. 2. The glassy/particle aggregate, as
shown in the center part of Fig. 2(a), is randomly
distributed on the polished cross-section of the PC-BT
sintered at 1050°C. The liquid at that temperature drags
BaTiO3 grains closer and gradually penetrates into pore
channels, resulting in a decrease in porosity (Fig. 2(b)).
Smaller pores could lead to a greater capillary force to
liquid phase and induce deeper penetration. Full densification of the disk was achieved at 1200°C (Fig. 2(c)).
J Electroceram (2010) 25:179–187
181
(a)
(b)
100
700
80
500
60
T.D.%
Grain
ain size (nm)
600
400
40
300
1000
1050
1100
1150
1200
1250
1300
Real-Time Temperature (°C)
Fig. 1 (a) Shrinkage-rate curves of pure BaTiO3 and 1 wt% glassadded PC-BT plotted against sintering temperature. (b) Sintered
density and average grain size of 1 wt% glass-added PC-BT as a
function of sintering temperature without holding time
3.2 Microstructure development
Average grain sizes of glass-added BT after sintering at
different temperatures for 1 h are summarized in Fig. 3(a).
The sintered density of the PC-BT achieved more than 95%
T.D. when sintered at temperatures of 1175°C∼1275°C for
1 h. The average grain size of all BT samples was 430 nm
in a standard deviation of ±220 nm, which is slightly bigger
than the average particle size of as-received BT powder.
After sintering at 1300°C, the average grain size of the
sample abruptly grew to 60 μm, which was 3 times greater
than that of pure BT. In order to reveal the effect of holding
time on BT grain size, the PC-BT disks were also sintered
Fig. 2 SE images showing the morphologies of 1 wt% glass-added
PC-BT at various temperatures without holding time. (a) The viscous
phase at center composed of Ba-Ti-Si-O by 1050°C, (b) connected
pores gradually disappearing at 1150°C, (c) achieving full density at
1200°C
at 1250°C holding for 1 h to 27 h. The grain sizes were
measured and shown in Fig. 3(b). The average grain sizes
of these BT samples were slightly grown from 400 nm to
430 nm during annealing process.
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J Electroceram (2010) 25:179–187
In general, the grain growth of BaTiO3 ceramics in the
final stage of sintering might follow diffusional-control or
the other mechanism [17]. However, no grain growth was
observed in this study after long sintering time. The
alternative effects, either solute drag effect and/or second
phase pinning effect possibly inhibits the grain growth. The
factors will be discussed later.
One typical porous sample (1 wt% glass-added PC-BT
sintered at 1125°C for 1 h) still remained about 20%
porosity and analyzed by TEM with EDS. The images and
(a)
100
PCBT-1 wt% G
Grain size (µm)
Pure BT
10
>95%T.D.
1
1175oC
0.1
1000
1050
1100
1150
1200
1250
1300
1350
EDS spectrum are shown in Figs. 4(a) and (b), respectively.
The glassy layers as pointed out in the micrograph either
cover BaTiO3 grains or is located between BT grains. The
composition of the glass included Si, Ba, Ti and O as
detected by windowless EDS. The composition implied that
BaTiO3 dissolves into the glass during heating process.
This new glass would reduce its melting temperature and
benefit the densification at lower sintering temperature.
The disks of 1 wt% glass-added PC-BT and pure BT
sintered at 1250°C for 1 h had different grain features, as
shown in Figs. 5(a) and (b), respectively. The average grain
size of the PC-BT sample with 1 wt% glass was close to
430 nm, and some grains shows twin features. In addition,
few enclosed pores could be found inside BaTiO3 grains.
However, obvious grain growth of sintered pure BaTiO3
grains occurred during the final stage of sintering, and the
average grain size grew to 1.1 μm with no intragranular
porosity observed.
From the magnified TEM BF image (Fig. 6(a)) of 1 wt%
glass-added PC-BT, the second phases located at triple
junctions were observed and pointed out in the micrograph.
The crystalline phase can be identified as Ba2TiSi2O8 by
attached EDS spectrum and lattice image, as shown in
Figs. 6(b) and (c), respectively. The Ba2TiSi2O8 in Fig. 6(a)
is possibly a liquid region during the sintering temperatures.
The curved boundary of the neighbor BaTiO3 grains to the
Ba2TiSi2O8 is the evidence of crystallization of a liquid.
The convex boundary of BaTiO3 next to the triple junction
Sintered temperature (°C)
Grain size (nm)
(b)
500
400
PCBT-1 wt% G
300
200
0
5
10
15
20
25
30
Sintered duration (hrs)
Fig. 3 Sintering profiles showing the relationship of average grain
size vs. sintered temperature (a) of pure BT and 1 wt% glass added
PC-BT after 1 h heating. The 1 wt% glass-added PC-BT could be
densified to 95% T.D. at 1175°C for 1 h. (b) Average grain size of
1 wt% glass-added PC-BT during 27 h heated at 1250°C
Fig. 4 (a) TEM BF image of 1 wt% glass-added PC-BT sintered at
1125°C for 1 h showing the glassy phase, pointed by black arrows and
Fourier transform pattern (FTP) as the insert. (b) EDS result showing
the composition of the glassy parts (Ba-Ti-Si-O)
J Electroceram (2010) 25:179–187
183
Fig. 5 TEM BF images showing the grain size distribution of (a) 1 wt
% glass-added (b) pure PC-BT sintered at 1250°C for 1 h
implies that partial dissolution of the BaTiO3 grains into the
glassy has occurred during sintering.
Compositional analysis by TEM/EDS line scan was carried
out to reveal the distribution of Mn element. The scanned
region is marked in Fig. 7(a). Mn signal was detected
showing a very low level and randomly distributed inside
BaTiO3 grain and at grain boundary (Fig. 7(b)). This result
implies no segregation of Mn ion at the grain boundaries.
Fig. 6 (a) TEM BF, (b) EDS
analysis showing the composition of the second phase being
Ba2TiSi2O8, and (c) HRTEM
images showing the crystalline
second phase (marked by black
arrows in (a)), located at the
triple junction of BT grains and
some enclosed pores inside
BaTiO3 grains in the 1 wt%
glass-added sample
Fig. 7 (a) Scanning TEM image of 1 wt% glass-added PC-BT after
heating at 1250°C for 1 h. (b) Analytical results by EDS-line scan
showing no obvious Mn signal could be found across the grain boundary
In order to find additional evidence on solid solution of
either Mn or Si on crystalline BaTiO3, quantitative XRD
analysis was conducted to determine the tetragonality, c/a, of
various samples. Figure 8(a) shows the tetragonality of 1 wt%
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J Electroceram (2010) 25:179–187
(a)
2
reduces the tetragonality. Si ion seems
Mn1
Ti or MnTi
too small to replace both A and B sites of BT.
3.3 Effects of glass content
Sintering behavior of 0–3.0 wt% glass to BaTiO3 is shown by
the shrinkage curves in Fig. 9(a). The glass-added samples
have higher (30–100°C) onset of the sintering trend than that
of the pure BT. The possible volume swelling [15], due to the
dissolution of BT into Mn-Si-O glass, might dominate the
onset of the sintering as opposed to liquid phase sintering and
particle rearrangement at the initial stage. After more glass
added to BT (∼3.0 wt%), the onset of the sintering gradually
came closer to that of the pure sample, which means more
liquid phase was formed, providing enough quantity for
(b)
(a) 4
0.5 G-BT
0.1 G-BT
0
Shrinkage (%)
Intensity
1 wt% Mn-Si-O
glass added
0.34 wt%
SiO2
0.66 wt%
Mn2O3
Pure
BT
-4
3.0 G-BT
-8
-12
-16
-20
900
44
44.4
44.8
45.2
45.6
1000
46
2θ
glass added PC-BT decreases from 1.010 to 1.004 with
temperatures from room temperature to 1250°C. The
tetragonality of BaTiO3 changes slightly to 1.009 after heated
at 800°C and apparently to 1.004 at 1250°C.
Mn and Si elements have different degrees of influence
on the tetragonality of BaTiO3. XRD spectra of either
0.34 wt% SiO2- or 0.66 wt/% Mn2O3-added BT samples
were compared with that of 1 wt% glass-added and pure BT
disks, as shown in Fig. 8(b). All of these samples had been
sintered at 1250°C for 1 h. After differentiating these
samples, diffraction peaks of (002) and (200) locating at 2θ
between 44.8°–45.8° show that peaks shift was contributed
by only Mn ion in solid-solution into BaTiO3. Comparing
the ionic radii of Si4+, Mn2+, Mn3+, Ba2+, and Ti4+ [15],
Mn2+ or Mn3+ is suitable to substitute Ti4+. The substitution
(b)
Optimal sintered temperature (°C)
Fig. 8 (a) Quantitative XRD results showing the change of tetragonality
of 1 wt% glass-added PC-BT after heating at different temperatures. (b)
XRD spectra showing the peak shift in 1250°C/1 h heated samples due
to solid-solution by Mn
1100
1200
1300
Temperature (oC)
5
1260
Sintered density>95 T.D.%
1240
4
1220
1200
3
1180
1175oC
2
1160
Grain size (µm)
Grai
No additive
1140
1
1120
0.4
µm
0
1100
0
0.2
0.4
0.6
0.8
1
1.2
1.4 3
Amount of the glass additive (wt%)
Fig. 9 (a) Shrinkage curves of glass-added BaTiO3 samples. (b) The
optimal sintering temperature and the corresponding average grain
size of each sample
J Electroceram (2010) 25:179–187
185
densification. When the glass content increased to 3 wt%, the
onset of the sintering was dominated by liquid phase sintering,
and shows larger shrinkage than that of pure BT. Optimal
sintering temperature (the lowest temperature able to densify
samples to >95% T.D. in 1 h) of various amounts of added
glass are shown in Fig. 9(b). The 0.1∼0.4 wt% glass addition
leads to a reduction of sintering temperature to 1200°C, and
0.5∼3.0 wt% glass additions can further reduce it to 1175°C.
Sintered density and grain size analysis of the glassadded BaTiO3 by 1250°C treatment are shown in Fig. 10
(a). All samples kept a nearly constant grain size (430 nm)
with the glass addition of 0.2 wt%, of which the glass
addition contributes to grain growth inhibition. In Fig. 10
(b), the tetragonality remained at lowest level (1.004) when
≥0.5 wt% glass is added, implying that maximal solubility
(about 1 mol%) of Mn in BaTiO3 has been achieved.
Figure 11 shows the effect of glass addition on dielectric
constant (k) and dielectric loss of sintered BaTiO3. The
dielectric constant is enhanced to 2200 by the 0.1 wt%
glass addition. When the glass addition gets over than
0.1 wt%, k gradually decreases to the value of 1000. The
dielectric loss (tanδ) changes to 0.01 as 0.1 wt% glass is
added. When >0.1 wt% glass is added, the dielectric loss
increases with the amount of glass addition.
4 Discussion
Relative sintered density (T.D.%)
100
4
4.1 Mechanism of gain growth inhibition
3.5
96
3
2.5
92
2
88
1.5
Grain size (µm)
(a)
1
84
0.5
80
0
0
0.2
0.4
0.6
0.8
1
3
Amount of the glass additive (wt%)
(b)
Densification of glass-added BT involves the dissolution of
BT particles into the glass and smaller particles lead to
higher dissolution concentration into Mn-Si-O glass. In the
early stage of densification, the dissolution of Ba and Ti
ions occurs and helps reduce the melting point of the glass.
The composition of the liquid phase changes during
heating. The glass also offers a fast diffusion route for
dissolution-precipitation process. The glass contributes to
particle rearrangement by capillarity force, which is also
beneficial to the densification of the BaTiO3 disks. The
liquid phase, which has good wet-ability on BT powders,
plays an important role in densification.
During the heating process, Mn ions in the liquid rapidly
dissolve into the BaTiO3 grains, the remaining liquid finally
1.012
2400
12
1.01
10
1.008
1.006
1.004
8
1600
6
1200
tanδ (%)
Dielectric constant
Tetragonity (c/a)
2000
4
800
2
1.002
400
0
1
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
3
Amount of the glass additive in BaTiO3 (wt%)
Fig. 10 (a) Sintered densities and average grain sizes, (b) quantitative
tetragonality (c/a) results of BaTiO3 via various amounts of glass
addition after sintering at 1250°C for 1 h
0
0.2
0.4
0.6
0.8
1 3
Amount of the glass addition (wt%)
Fig. 11 Effects of the glass addition on dielectric constant and
dielectric loss of BaTiO3 disks after sintered at 1250°C for 1 h in air
atmosphere
186
J Electroceram (2010) 25:179–187
crystallizes as the composition runs out of Mn content,
resulting in crystallization of Ba2TiSi2O8 phase at triple
junction (Fig. 6). The grain boundary phase has potential to
inhibit grain growth of BaTiO3 grains by pinning effect in
final stage of sintering [18]. The reactions can be described
as follows if all Mn ions can solid-solute into BaTiO3 at
sintered temperature [15].
1. Dissolution of BaTiO3
BaTiO3 þ Mn‐Si‐O glass
! Ba0:06 Ti0:03 Mn0:19 Si0:30 Ox
ð3Þ
2. Crystallization of Ba2TiSi2O8
Ba0:06 Ti0:03 Mn0:19 Si0:30 Ox
! Ba Ti4þ 1x Mn2þ x O3x þ Ba2 TiSi2 O8
þ Ba2 Ti9 O20
ð4Þ
There are no Ti rich crystal phases, however, found in
this study. Residual Ti ions maybe segregate at the grain
boundary of BaTiO3 grains [19]. The segregation of Ti ions
at grain boundary may also help to retard grain boundary
movement at temperature lower than 1300°C.
4.2 Effects of microstructures on dielectric properties
Dielectric properties closely relate to microstructural characteristics of BaTiO3 materials [20]. Dielectric constant of
BaTiO3 is reduced by lower sintered density, smaller grain
size (<0.8 μm), smaller tetragonality (c/a≤1.004), second
phase, and unfavorable doping elements. A dielectric
material with 5% porosity shows considerable reduction
on dielectric performance. Second phase composed of
Ba2TiSi2O8 with low dielectric constant occupies only few
volume percents (∼2 vol%) in BT disks, and contributes
negative effect on dielectric constant as well. Besides that,
other factors, grain size and tetragonality of BT, are
significant, and dominate the performance of dielectric
properties [21].
Grain size of BaTiO3 in 0.7–1.0 μm range has a
maximum dielectric constant at room temperature [20].
The constant greatly reduces with the grain size of BaTiO3
either larger or smaller than the specified values (0.7–
1.0 μm). As shown in Fig. 10(a), the grain size (2.1 μm) of
0.1 wt% glass-added BaTiO3 was able to get good k value
(2300) comparing to the non-glass added sample. However,
due to similar grain size (430 nm) of the BaTiO3 in 0.2∼
3.0 wt% glass-added samples, poor tetragonality degrades
the performance of k from 1000 to 500.
Normally, dielectric loss is profoundly affected by the
resistivity of sintered BaTiO3. The higher resistivity means
difficult transport of electron through the material, in other
words, well reduces electron-conduction loss in BaTiO3
capacitor. Mn ion is well known as an acceptor as dopant
into BaTiO3, implying an effective electron trapping as Mn
is incorporated in BaTiO3 lattice [22]. Therefore, BaTiO3
with <0.5 wt% glass (low Mn-dopant) has smaller dielectric
loss, as shown in Fig. 11. However, when the doping level
of Mn goes over the solubility limit of Mn in BaTiO3, the
residual Mn ion probably forms a second phase
[Mn2(BaxTi1-x)O4] [15], which can be found as a Mn-rich
phase at grain boundaries by Back-Scattering-Electron
(BSE) image. Some of secondary phases, including
Mn2(BaxTi1-x)O4 and Ba2TiSi2O8 formed during sintering,
would degrade the dielectric loss [23]. Therefore, when the
glass addition exceeding a critical amount, more second
phases would appear and lead to obvious dielectric loss.
5 Conclusion
Several advantages of adding Mn-Si-O glass for the sintering
of BT are investigated in this study. Dissolution of BaTiO3 in
the glassy phase helps the formation of low-melting liquid,
which performs good-wetting during sintered process. The
onset sintered temperature is lowered accordingly.
With solid solution of Mn ion into BaTiO3 grains at higher
temperature, second phase (Ba2TiSi2O8) also forms at triple
junction, acting as grain growth inhibitor. Abnormal grain
growth of BaTiO3 is inhibited. as sintered at ≤1275°C.
Dielectric constants of sintered samples are greatly
influenced by grain size and tetragonality of sintered BaTiO3.
The sample with grain size of 0.7–1.0 μm has higher dielectric
constant. For glass-added samples with the same grain size,
the higher tetragonality of BaTiO3 would lead to a larger
dielectric constant. Dielectric loss is controlled by the solid
solution of Mn content into BaTiO3 and the newly formed
second phases, including Mn2(BaxTi1-x)O4 and Ba2TiSi2O8.
Acknowledgement The authors like to thanks the funding partially
from the National Science Council in Taiwan and from the Ministry of
Economic Affairs, Taiwan, R.O.C. under contract numbers NSC942216-E-002-020 and 97-EC-1-A-08-S1-107, respectively.
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