Effect of Gamma-irradiation on Thermal Decomposition of Tris ( 1 , 2-diaminoethane ) Cobalt ( II ) Sulphate

Tris(1,2-diaminoethane)cobalt(II)sulphate was prepared and characterised. Pure dry sample of uniform mesh size was then irradiated with 60Co γ-rays for varying doses up to 900 kGy. Nonisothermal decomposition of the complex was studied before and after irradiation. Unirradiated and irradiated samples decompose in three stages. Kinetic parameters E, Z and ∆S were evaluated by Coats-Redfern (integral), Freeman-Carroll (differential) and Horowitz-Metzger (approximation) equations. Results showed that irradiation enhanced thermal decomposition, lowering thermal as well as kinetic parameters. Mechanism of decomposition for each stage has been established. Irradiation modifies the reaction mechanism of the first stage of decomposition.

by ethylenediamine and the counter ion nitrate, by sulphate.Thus the present paper reports the effect of gamma irradiation on non-isothermal decomposition kinetics of tris(1,2-diaminoethane)cobalt(II)sulphate.The study proposes evaluation of kinetic parameters by non-mechanistic equations for unirradiated and irradiated samples.The non-mechanistic equations employed are Coats-Redfern (integral), Freeman-Carroll (differential) and Horowitz-Metzger (approximation) [7][8][9] .In order to establish the mechanism of thermal decomposition, evaluation of kinetic parameters by mechanistic equation is also intended.

EXPERIMENTAL
All chemicals used were of AR grade or of high purity.Hydrated cobalt sulphate and ethylenediamine were obtained commercially and used without further purification.Tris (1,2-diaminoethane)cobalt(II) sulphate was prepared by known procedure (10).The sample was purified by recrystallisation and dried over P 2 O 5 , characterized by elemental analysis, spectral and magnetic studies.The IR spectrum of the sample was recorded on a Perkin Elmer infrared spectrophotometer in the range 4000 to 500cm -1 .Electronic spectrum was recorded on a Shimadzu uv-2450 uv-visible spectrophotometer in the range 300-900 n.m. at room temperature.Magnetic susceptibility was measured by Gouy method.Octahedral geometry of the complex ion was confirmed by electronic spectral and magnetic studies.Pure dry sample was ground and sieved to uniform mesh size and sealed in Pyrex ampoules.The sample was irradiated using 60 Co gamma rays to varying doses as 300 kGy, 600 kGy and 900 kGy at constant intensity under room temperature at a dose rate of 6 kGy/hr.After irradiation each sample was mixed uniformly and stored over P 2 O 5 in a vacuum desiccator.Thermograms providing simultaneously TG and DTG were recorded in a Perkin Elmer STA 6000 model instrument in nitrogen atmosphere at a heating rate of 10 °C/min.The sample mass was kept constant around 3±0.5mg.Thermal studies were carried out within one week of irradiation.

Thermal and kinetic analysis
The TG curves recorded in nitrogen atmosphere were redrawn as percentage mass versus temperature curves (Fig 1).
Thermograms of unirradiated and irradiated samples are of the same pattern indicating that irradiation does not modify the decomposition pathway.Both the unirradiated and irradiated samples (300 kGy, 600 kGy and 900 kGy) of the complex decompose in three stages.Percentage mass loss during the first stage corresponds to the removal of two mols of the ligand while that of the second stage to the remaining one mole.The third stage involves the oxidation of the deaminated complex to the metal oxide (Table 1).
The percentage of final residue in all cases corresponds to oxide of cobalt, which is confirmed by independent pyrolysis data.Phenomenological data with T i -temperature of inception, T f -temperature of completion and T s -peak temperature for the unirradiated and irradiated samples are presented in Table 1.It can be seen that T i , T f , and T s are lowered upon irradiation, indicating decomposition is relatively faster in the irradiated samples.Nonisothermal data were analyzed by Coats-Redfern, Freeman-Carroll and Horowitz-Metzger methods (non-mechanistic equations).Kinetic parameters viz.,   activation energy E, frequency factor Z and entropy of activation "S along with the correlation coefficient (r) evaluated by these methods, are presented in Tables 2, 3 and 4.
Calculations were done by the statistical linear regression method using excel pre-defined functions.The order parameter n was assumed as unity.From Tables 1 -4 it is clear that thermal as well as kinetic parameters are lowered upon irradiation and the extent of lowering increases with increase in absorbed dose.Thus the reactivity parameters follow the order, unirradiated > 300 kGy > 600 kGy > 900 kGy.The decomposition of the complex [Co Thus the enhanced rate of decomposition may be attributed to lattice defects as well as products of chemical damage.These effects can influence both diffusion and nucleation which are the two fundamental steps in a solid state decomposition.

Deduction of mechanism
In the present investigation the mechanism is established by following the method of Sestak and Berggren 11 and Satava 12 .In non-isothermal kinetic studies E is evaluated from the slope, tgα of the straight line approximation of the plot of ln gα versus 1/T by using the equations proposed by Sestak 13 .Computational details for arriving to the correct mechanism and the respective kinetic parameters have already been discussed 14 .The kinetic parameters evaluated by mechanistic equations are presented in table 5.
When the correlation coefficient is nearly the same the mechanism is chosen by comparing the E values with those obtained from the non-mechanistic equations.It is seen that in the first stage, the decomposition of unirradiated sample is governed by R 3 function i.e. phase boundary reaction with spherical symmetry.In phase boundary reactions the reactant is assumed to have a definite geometrical form.The surface nucleation of the reactant occurs instantaneously and an interface will be established.This interface moves with a constant velocity towards the centre of the particle and the reaction is deceleratory throughout, because the reaction interface decreases continuously.Phase boundary reactions with spherical symmetry corresponds to three dimensional movement of the interface which is also known as contracting cube equation, i.e.,

CONCLUSION
In this work, non-isothermal decomposition kinetics of the complex tris(1,2-diaminoethane) cobalt(II)sulphate was investigated before and after gamma irradiation.It was found that irradiation enhanced thermal decomposition, lowering thermal as well as kinetic parameters, but did not change the decomposition path way.Irradiation modifies the reaction mechanism of the first stage of decomposition.

Table 4 :
Kinetic parameters evaluated by Horowtiz-Metzger equation Table 5: Kinetic parameters evaluated by mechanistic equation (en) 3 ] SO 4 starts in the solid state.The decomposition reactivity of crystalline solids depends upon structural and energetic factors associated with the chemical nature of the reactants and products, lattice geometry and defect concentration.As irradiation leads to an increase in defect concentration and subsequent chemical damage, all these factors are modified.

Fig. 1 :
Fig. 1: Thermal decomposition curves redwarn as percentage of mass versus temperature curves for unirradiated and irradiated [Co(en) 3 ]SO 4 [1-(1-α) 1/3 ] = kt.The mechanism of decomposition changes to R 2 function in the irradiated samples, i.e., phase boundary reaction with cylindrical symmetry.Phase boundary reaction with cylindrical symmetry corresponds to the two dimensional movement of the interface and follow the equation, [1-(1-α) 1/2 ] = kt.For the unirradiated and irradiated samples the second stage of decomposition is controlled by F 1 function ie., random nucleation, one nucleus on each particle., -ln (1-α) = kt (Mampel equation).The third stage is governed by R 3 function for both the unirradiated and irradiated samples.