5
04
W.-M. Guo et al. / Journal of Alloys and Compounds 471 (2009) 502–506
t is oxidation time. With increasing temperature, it is obvious that
the weight gain increases at identical time. It can be seen that the
◦
TG curve approaches linear behavior for 650 C, whereas TG curves
clearly show deviation from linear behavior with the increase of
temperature.
Fig. 2 presents the square of mass gain per unit surface area as
a function of oxidation time for ZrB2 powder. It is found that the
square of mass gain per unit surface area is a nonlinear function
of oxidation time, which indicates that oxidation of ZrB2 powder
deviates from parabolic kinetics. Therefore, a simple parabolic law
is unable to describe the kinetic behavior. In order to give a com-
plete analytical description, the TG curves were fitted according to
a multiple-law model including a linear and parabolic term, devel-
oped by Nickel [13]. The mass change per unit area w is expressed
as a function of time, according to the following equation:
√
w = A + Klint + Kpar
t
(3)
where A is a constant, Klin is linear rate constant and Kpar is
parabolic rate constant. The fit allows for the quantification of the
individual contributions of the multiple-law model and accounts
for para-linear kinetics. Using multiple linear-regression analysis,
multiple-law modeling of TG curves of ZrB2 powder oxidized in air
at different temperatures was performed, with the results illus-
◦
Fig. 4. X-ray diffraction patterns of ZrB2 powder oxidized at 700 C for varying
durations: (a) no oxidation; (b) 0.5 h; (c) 4 h; and (d) 15 h.
2
trated in Fig. 3. The K parameters and R values corresponding
monoclinic ZrO2 peaks also appear, while intensities of ZrB2 peaks
simultaneously decrease, as shown in Fig. 4c. When oxidation time
is increased to 15 h at 700 C, the XRD patterns show monoclinic
to each fitting curve are reported in Table 1. The excellent fit of
the solutions confirms that oxidation of ZrB2 powder follows para-
◦
2
linear kinetics in such a temperature range (R > 0.99).
ZrO2 as a major phase, a minor phase of tetragonal ZrO , and the
2
As seen in Fig. 3, the dominating term is the parabolic one in the
◦
◦
disappearance of the ZrB2 phase (Fig. 4d).
range of 650–800 C, accounting for oxygen diffusion in oxide scale.
Generally, the stable polymorph of zirconia at room tempera-
ture and atmospheric pressure is monoclinic, which transforms at
From 650 to 700 C, the linear term is positive, which is related to
mass gain due to chemical reaction between ZrB2 and O at the
2
◦
◦
◦
1170 C to tetragonal and then at 2370 C to cubic structure. Previous
researchers [15] have investigated the effect of the crystallite size
on the phase transformation and pointed out that the phase trans-
formation was closely related to the growth of the crystallite size.
When the particle size reaches nano-scale, a metastable tetragonal
ZrO2 can also exist at room temperature, which is so-called nano-
size effect of particle phase [16]. So, the reaction of ZrB2 powder
with oxygen can generate metastable tetragonal ZrO2 instead of
diboride–oxide interfaces. In the range of 750–800 C, the linear
term is negative, which is associated with mass loss due to vapor-
ization of B O . It can therefore be inferred that oxidation of ZrB
2
3
2
powder in air is governed by oxygen diffusion and chemical reaction
◦
at 650–700 C, but controlled by oxygen diffusion and the evapora-
◦
tion of B O at 750–800 C.
2
3
Even though the vapor pressure of B O may be low in the tem-
2
3
◦
perature range of 750–800 C, oxidation kinetics revealed that the
evaporation of B O should not be neglected during the oxidation of
◦
stable monoclinic phase at 700 C. Broad ZrO2 peaks also validate
2
3
this deduction in Fig. 4b. However, the tetragonal crystallites grow
during annealing. Upon reaching a critical diameter, the tetragonal
phase transforms immediately to the monoclinic phase. Therefore,
monoclinic ZrO peaks appear with oxidation. The increase of hold-
ing time will induce more phase transform of ZrO , and as a result,
ZrB powder. This deduction can be also supported by the study on
2
oxidation of AlN–SiC–ZrB composites reported by Brach et al. [14].
2
◦
In the range 700–900 C, Brach et al. [14] indicated the oxidation
2
of AlN–SiC–ZrB2 composites followed mixed para-linear kinetics,
where the linear term was negative, accounting for mass loss due
2
the oxidized samples after 15 h contains major monoclinic ZrO2
phase with minor tetragonal ZrO2 phase.
to vaporization of B O .
2
3
Morphology changes occurring to the ZrB2 powder as a result
of oxidation were examined using SEM. Fig. 5 is a montage of SEM
images illustrating the progression of oxidation at 700 C. The as-
3
.2. Phase characterization and morphology of the oxidized
samples
◦
received ZrB2 powder consists of irregularly sized particles with
mainly columnar shape, as shown in Fig. 5a. The first visible evi-
dence of appreciable oxidation of the samples is the appearance of
circumferential microcracks at the edge of the ends of a number of
cylinders, for example, on the arrow sites in Fig. 5b. At the begin-
ning of oxidation, the particles keep their original shape, while the
surfaces become rough. With further oxidation, microcracks at the
surface of the oxide layers running parallel to the central axes of the
cylinders are also observed (indicated by arrows in Fig. 5c). At the
same time, the oxide scale at the ends of certain columnar parti-
cles flake off. After 15 h, every ZrB2 particle has broken into several
fragments (Fig. 5d).
◦
Fig. 4 shows the XRD patterns of ZrB powder oxidized at 700 C
2
for varying durations. Before the exposure, only ZrB2 peaks are
detected as shown in Fig. 4a. In the initial stage of oxidation, tetrag-
onal ZrO2 peaks appear (Fig. 4b). With increasing oxidation time,
Table 1
Kinetic parameters of the oxidation fitting curve, relatively to parabolic and linear
contributions, and R2 (fit goodness) values.
Oxidation temperature
Kpar
(mg cm min
Klin
R2
◦
−2
−0.5
−2
−1
(
C)
)
(mg cm min )
6
50
0.00192
0.00536
0.02068
0.03405
0.00013
0.00007
0.99852
0.99947
0.99744
0.99886
7
7
8
00
50
00
It is assumed that oxidation products have theoretical density.
Therefore, the oxidation from ZrB2 to tetragonal ZrO2 is accompa-
nied by 9% volume expansion, based on the densities of 6.09 and
−0.00040
−0.00122