2
52
K. Krishnan et al. / Journal of Alloys and Compounds 337 (2002) 248–253
G(SrUO3.777) 2 G(SrUO3.948) 2 675 1 b 5 0
G(SrUO3.597) 2 G(SrUO3.777) 2 6252 1 c 5 0
G(SrUO3.597) 1 1490558 1 d 5 0
(18)
(19)
(20)
(21)
(22)
3.3.2. SrUTe O
2
8
SrUTe O (s) on heating in vacuum, during the vapour
2
8
pressure measurements by the KEML technique, decom-
poses with the formation of SrUTeO (s) as an intermediate
6
product. The XRD pattern of the product obtained from the
reaction was similar to that of the compound formed by
heating a mixture of SrO and UTeO5 in 1:1 molar
proportion as discussed in Section 3.1. Hence, the de-
composition of SrUTe O (s) could be represented as:
G(SrUO3.948) 1 1497485 1 e 5 0
2
8
G(SrUO3.777) 1 1496809 1 f 5 0
SrUTe O (s) → SrUTeO (s) 1 TeO (g) [955–1041 K]
2
8
6
2
2
G(SrUO3.777) 2 G(SrUO3.948) 2 G(SrUO3.597) 1 751 1 g
(27)
5
0
(23)
Further decomposition of SrUTeO (s) in similar ex-
6
where G(SrUO3.948), G(SrUO3.777) and G(SrUO3.597) rep-
resent the D G8 (900 K) for SrUO3.948(s), SrUO3.777(s)
perimental conditions takes place as given in Eq. (2).
The equilibrium vapour pressure of TeO (g) over a
f
m
2
and SrUO3.597(s), respectively. By eliminating the un-
known Gibbs energy of formation values algebraically
from the above equalities one gets:
mixture of SrUTe O (s) and SrUTeO (s) was calculated in
the temperature range of 955–1041 K for the reaction
shown in Eq. (27) and the values are given in Table 4. The
2
8
6
corresponding least squares fit of log p of TeO (g) versus
2
a 1 b 1 2c 2 d 1 e 2 f 1 g 5 2 157472
(24)
1
/T for SrUTe O is also shown in Fig. 2, and is
2 8
represented by Eq. (28):
This relationship is very useful because, it puts a
constraint on the permissible values of a, b, c, d, e, f and
g. The number of unknowns exceeds the number of
equations. Iteration method with an initial gauss value is
used to solve the above equation sets. The resulting
log p (kPa)60.01 5 2 12446.4/T (K)
1
8.9211 [955–1041 K]
(28)
By using the vapour pressure data of TeO (g), the
standard Gibbs free energy formation data of SrUTe O (s)
could be obtained from the relation:
2
D G8(T) values for the SrUO3.948(s), SrUO3.777(s) and
f
2
8
SrUO3.597(s) compounds are 21659, 21634.0 and
2
1
2
1606.5 kJ mol respectively, while the values of a, b, c,
d, e, f and g are 20.8, 224.32, 221.2, 116, 161.6, 137.2,
.7 kJ, respectively. This method of estimation has been
repeated for T 5 1000 K and 1100 K. D G8(SrUO3.597, s,
D G8SrUTe O (s) 5 D G8SrUTeO (s) 1 D G8TeO (l)
f
2
8
f
6
f
2
1
1
RT ln [pTeO /p8TeO2]
(29)
f
2
2
1
T) value is calculated as 21572.0 kJ mol at 1000 K and
2
1
2
1537.9 kJ mol at 1100 K. Least squares analysis of
Using the vapour pressure data of pTeO2 from the
D G8(SrUO3.597, s, T) values as a function of temperature
can be given as:
experimental study of Eq. (28), the values of p8TeO2 and
D G8TeO (l) from the literature [17,18] and the Gibbs free
f
f
2
energy of formation of SrUTeO (s) from Eq. (26), the
6
D G8(SrUO3.597, s, T) 5 2 1915.1 1 0.343 T
(25)
f
Gibbs free energy formation of SrUTe O (s) was calcu-
2
8
lated and the values are given in Table 4, and is repre-
sented by Eq. (30)
The first term of the above equation corresponds to
enthalpy of formation at average temperature (1000 K).
2
1
D H8 (SrUO3.597, s, 1000 K) value (21915.1 kJ mol
)
Table 4
f
m
Gibbs free energy of formation of SrUTe O (s) at different temperatures
calculated in the present work is in good agreement with
2
8
2
1
D H8 (SrUO3.522, s, 298.15 K) value (21893.1 kJ mol
)
Temperature
(K)
pTeO
(kPa)310
p8TeO
(kPa)310
D G8SrUTe O (s)
(kJ mol )
f
m
(g)
2
(s)
f
2
8
2
2
4
23
21
determined by Takahashi et al. [15] using solution
calorimetry.
By using the estimated Gibbs free energy formation
9
964
9
9
9
55
0.772
1.010
1.392
1.937
2.599
3.004
3.996
5.040
7.790
9.030
3.788
5.080
6.413
21947.2
21941.9
21936.1
21929.7
21923.9
21921.0
21915.2
21910.0
21901.2
21897.2
74
85
95
values for SrUO3.597(s) from Eq. (25) and that of TeO (l)
2
8.617
from the literature, the standard Gibbs free energy forma-
11.209
12.759
16.468
20.632
29.777
35.211
tion of SrUTeO (s) could be obtained and is represented by
6
1000
the relation:
1
010
019
1
D G8SrUTeO (s)630 kJ/mol 5 2 2180.7
f
6
1034
041
1
1
0.4263 T (K) [1080–1162 K]
(26)