L. Li et al. / Journal of Alloys and Compounds 531 (2012) 18–22
19
Table 1
The EDX data of the (Mg0.95Zn0.05)1.8Ti1.1O4 ceramics for spots A and B shown in
Fig. 2.
Spots
At.(%) (K)
Mg
Zn
Ti
O
A
B
43.52
37.7
2.49
1.86
19.12
24.41
34.86
36.03
dimension due to the substitution of larger ionic radius of
2
+
2+
Zn (0.74 A˚ , CN = 6) into the Mg (0.72 A˚ , CN = 6) site of the
Mg1.8Zn1.1O4 spinal tetragonal.
Fig. 2 shows the FESEM micrographs of (Mg0.95Zn0.05)1.8Ti1.1O4
ceramics sintered at different temperatures for 4 h. The grain
size increases with the increase of sintering temperature. In
order to confirm the content of Zn2+ ionic that solubilized
in Mg1.8Ti1.1O4 ceramics, the elemental analysis for marked
spots was taken from the well-developed specimens. As shown
in Fig. 2(d) and Table 1, the grain morphology of well-
developed specimens could be grouped into two types. The
major phase with large grains, such as spot A in Fig. 2(d),
Fig. 1. X-ray diffraction patterns of (Mg1−xZnx)1.8Ti1.1O4 (x = 0.01–0.1) ceramics sin-
tered at 1375 C for 4 h with different x value.
◦
is a spinal tetragonal phase (Mg0.95Zn0.05)1.8Ti1.1O , and some
4
≥99%). MgO was additionally fired at 700 ◦C to remove water and CO2 due to its
small grains such as spot B, are identified as an ilmenite phase
(Mg0.95Zn0.05)TiO3.
(
hygroscopic property. (Mg1−xZnx)1.8Ti1.1O4 and CaTiO3 powders were prepared by
mixing all the raw materials according to the desired stoichiometry. Mixtures were
◦
milled in distilled water for 12 h with agate balls and then dried at 100–150 C to
3
.1.2. Microwave dielectric properties
Fig. 3 shows the dielectric constant (εr) of (Mg
1−x
obtain homogenized powders. The preliminary heat treatment (calcination) of the
◦
◦
Znx)1.8Ti1.1O4
powders was carried out at 900 C (2 h) and 1100 C (2 h) in air in alumina crucibles
respectively. After calcination, the powders were mixed according to the molar
fraction (1 − y)(Mg0.95Zn0.05)1.8Ti1.1O4–yCaTiO3 and then re-milled for 12 h. The fine
powders ((Mg1−xZnx)1.8Ti1.1O4, (1 − y)(Mg0.95Zn0.05)1.8Ti1.1O4–yCaTiO3) granulated
by sieving through an 80 mesh together with the organic binder were pressed
into pellets with 10 mm in diameter and 4–5 mm in thickness. All the pellets were
(x = 0.00–0.1) solid solutions sintered at different temperatures
for 4 h. At microwave frequencies, the εr is dependent on the
density, secondary phases, and the crystal structure [14]. In this
work, the dielectric constant of (Mg1 Znx)1.8Ti1.1O4 with differ-
ent sintering temperature is mainly dependent on the density of
samples. As shown in Fig. 3, the variation trend of dielectric con-
stants was in accordance with variation trend of corresponding
density. By increasing the sintering temperature, the dielectric
constant of the specimen increased to a maximum value because
higher density produces lower porosity and then decreased
slightly.
−x
◦
◦
sintered at 1210–1450 C for 4 h in air, using a heating rate of 5 C/min.
The phase identification and crystal structure analysis of the sintered ceramics
were carried out by X-ray diffraction (Rigaku D/max) using Cu K␣ radiation at a
.02 /0.5 s scanning speed. Microstructure of sintered surfaces were performed by
field emission scanning electron microscopy (FESEM, FEI Nanosem 430) associated
with Energy Dispersive X-ray Detector (EDX, Oxford INCA). The apparent densities
of the sintered pellets were measured using the Archimedes method (Mettler Toledo
XS64).
◦
0
The dielectric constant εr and the quality factor Q at microwave frequency were
measured by the modified Hakki–Coleman’s method and the cavity method in the
TE01ꢁ mode using Agilent 8720ES network analyzer [12,13]. The temperature coef-
ficient of resonant frequency (ꢀf) was calculated using the equation
Moreover, the εr of (Mg1 Znx)1.8Ti1.1O4 with different x value
sintering at 1375 C were dependent on the theoretical dielec-
tric polarizabilities (˛theo.). Fig. 4 shows the theoretical dielectric
−x
◦
polarizability (˛theo.) of (Mg Znx)1.8Ti1.1O4 obtained from the
1−x
f85 − f25
ꢀ
f =
(1)
additivity rule of molecular polarizability shown in Eq. (2) [15,16].
f25 × 60
◦
◦
˛theo.(A1.8B1.1O4) = 1.8˛A + 1.1˛B + 4˛O
(2)
where f85 and f25 are the TE01ꢁ resonant frequency of the samples at 85 C and 25 C,
respectively.
where ˛theo. is the theoretical polarizability; ˛ , ˛B, ˛O are
A
the ionic polarizability of A-, B-site ion, and oxygen. With
increase of x, the theoretical dielectric polarizability (˛theo.)
3
. Results and discussion
3
2+
increase due to the ionic polarizability (2.04 A˚ ) of Zn which
3
.1. (Mg1−xZnx)1.8Ti1.1O4
system
2+
˚ 3
is larger than the ionic polarizability of Mg (1.32 A )[17]. With
x increase from 0.00 to 0.1, a maximum εr value of 15.29 can
be obtained for specimen using (Mg0.9Zn0.1)1.8Ti1.1O4 sintered at
for 4 h.
In order to achieve optimal dielectric properties for microwave
application, we first studied the (Mg1 Znx)1.8Ti1.1O (x = 0.00–0.1)
system.
−x
4
Fig.
5
shows the Q × f values of (Mg1 Znx)1.8Ti1.1O4
−x
(
x = 0.00–0.1) solid solutions sintered at different temperatures for
3
.1.1. Phases and microstructure
Fig. 1 illustrates the room-temperature XRD patterns recorded
from the (Mg Znx)1.8Ti1.1O4 (x = 0.00–0.1) ceramics sintered at
4 h. Many factors believed to affect the microwave dielectric loss
and can be divided into two fields, the intrinsic loss and extrinsic
loss. The intrinsic losses are mainly caused by lattice vibration
modes while the extrinsic losses are dominated by second phases,
oxygen vacancies, grain sizes and densification or porosity [18].
The Q × f value with different sintering temperature is mainly
affected by density and the grain size of the ceramic here. As
apparent densities increased, the pores and the grain boundary
area decreased, the grain size increased, thus reducing the lattice
imperfections and increasing the Q × f value. The Q × f values
increase to a maximum and then decrease with the variation of
1−x
◦
1
375 C for 4 h. A spinal tetragonal phase of (Mg
Znx)1.8Ti1.1O4
1−x
(
indexed as Mg1.8Ti1.1O , ICDD-PDF#00-054-1226), belonging to
4
the space group P4122(91), was identified as the main phase.
A hexagonal ilmenite-structured (Mg1 Znx)TiO3 (indexed as
MgTiO , ICDD-PDF #00-079-0831) was assigned as a second
phase. Moreover, the reflection peaks of the tetragonal phases
tend to slightly shift toward the lower angle with increas-
ing Zn content, which suggests an increase in the unit-cell
−x
3