38
A.A. Soliman et al. / Thermochimica Acta 359 (2000) 37±42
different structural arrangements, depending on the
central metal atom, along with their higher thermal
stability has prompted us to carry out a detailed
thermal analysis to throw more light on their compo-
sition.
ture of DTG peak), and Wi and Wf are the initial and
®nal weights of the substance. The order of the
decomposition reaction (n) can then be calculated.
1=1
n
Cs ꢀn
(2)
2.2. Calculation of kinetic and thermodynamic
parameters
2. Experimental
2.2.1. Integral method using the Coats±Redfern
Chromium and molybdenum hexacarbonyls as well
as triruthenium dodecacarbonyl were supplied from
Aldrich. 2,5-dichloro-3,6-dihydroxy-p-quinone, chlo-
ranilic acid (H2CA), was purchased from Sigma. All
the solvents used were of analytical reagent grade
and puri®ed by distillation according to the standard
methods. Cr(H2CA)3, MoO3(HCA) and Ru3(CO)10(m-
H)(HCA) were prepared as described before [11].
Measurements of the thermogravimetric analysis
(TG and DTG) were carried out under nitrogen atmo-
sphere with a heating rate of 108C/min using a Shi-
madzu DT-50 thermal. The mass spectra of the
complexes were performed on Finnigan MAT SSQ
7000 spectrometer. Table 1 lists data for the most
abundant peaks in the mass spectra in m/z units (m is
the mass of the fragment ion and z is its charge).
equation
For a ®rst-order process, the activation energy E* in
J mol 1 can be calculated from the following equation
[14]:
ꢀ
ꢁ
log ꢀW1=ꢀW1 W
log
T2
ꢀ
ꢂ
where W is the mass loss at the completion of the
ꢃꢁ
AR
fEÃ
2RT
EÃ
EÃ
log
1
(3)
2:303RT
1
decomposition reaction, W the mass loss up to tem-
perature T, R the gas constant and f the heating rate.
Since 1 2RT/E*1, the plot of the left-hand side of
Eq. (3) against 1/T would give a straight line. E* was
then calculated from the slope and the Arrhenius
constant, A, was obtained from the intercept.
2.1. Determination of reaction order of
decomposition
2.2.2. Approximation method using Horowitz±
Metzger equation
For the ®rst-order kinetic process, the Horowitz±
Metzger equation [12,13] may be written in the form
The reaction order of decomposition of the chro-
mium, molybdenum and ruthenium complexes were
calculated from their DTG plots [12,13]. The weight
fraction of the substance present at the DTG peak (Cs)
can be determined from the following relation:
ꢀ
ꢁ
W1
Wr
yEÃ
2:303RTs2
log log
log 2:303
(4)
where Ts is the DTG peak temperature and yT Ts.
line and E* can be calculated from the slope. The
pre-exponential factor C was calculated from the
ꢀWs Wf
A plot of log [log W /Wr] versus y will give a straight
Cs
(1)
ꢀWi Wf
where Ws is the weight remaining at Ts (the tempera-
1
Table 1
Selected mass spectral data of the three complexes
Complex
m/z valuesa
Cr(H2CA)3
MoO3 (HCA)
679.0, 605.15, 518.0, 459.9, 397.4, 378.15, 347.0, 309.4, 206.15, 159.95, 122.0, 45.95
670.4, 582.2, 474.2, 399.9, 385.9, 352.1, 336.0, 300.0, 242.0, 181.0, 144.0, 100.5, 58.0
1045, 961.8, 929.4, 887.5, 854.5, 792.0, 769.4, 721.0, 598.2, 530.8, 492.0, 470.4, 354.8,
291.6, 370.0, 350.0, 314.1, 72.0, 56.0
Ru3(CO)10(m-H) (HCA)
a Most abundant peaks.