Chemistry Reference
In-Depth Information
This is important as one of the ways to reveal the temperature dependence of the
activation energy.
Last but not least, when selecting the temperature range for kinetic experiments
one should be mindful of possible phase transitions (e.g., melting or solid-solid
transformations of the solid reactant) that a reactant may undergo within that range.
For example, the respective rates and Arrhenius parameters for solid- and for liquid-
state decomposition can differ substantially [ 45 ], although they may also remain
practically unchanged [ 46 ]. Significant changes in the reactivity may also be en-
countered due to the solid-solid phase transitions. This phenomenon is known as
the Hedvall effect [ 47 , 48 ]. Therefore, one needs to exercise great care when com-
bining kinetic data collected in the temperature ranges below and above the phase
transition temperature. To detect the presence of possible phase transitions, one has
to carry out a DSC run because they are undetectable by TGA.
The aforementioned techniques allow one to minimize deviations of the sample
(process) temperature from the reference (furnace) temperature. Nevertheless, some
smaller deviations would continue to be present as long as a process is accompanied
by a thermal effect. It is good practice to compare the sample temperature against
the reference one. Both values are usually made available by modern DSC and TGA
instrumentation. The smaller the difference between the two temperatures the bet-
ter but it should not exceed 1-2 ᄚC, if the kinetic calculations are to be conducted
by means of the isoconversional methods that rely on the reference temperature.
When the difference is larger, one should consider reducing the sample mass and/or
decreasing the heating rates of nonisothermal runs or the temperatures of isothermal
ones. Larger temperature deviations can be tolerated [ 42 , 49 ] when using the iso-
conversional methods that permit directly using the sample temperature. A detailed
discussion of such methods is provided in Chap. 2.
References
1. Vyazovkin S, Goryachko V, Bogdanova V, Guslev V (1993) Thermolysis kinetics of polypro-
pylene on rapid heating. Thermochim Acta 215:325-328
2. Bonnet E, White RL (1998) Species-specific isoconversion effective activation energies de-
rived by thermogravimetry-mass spectrometry. Thermochim Acta 311:81-86
3. Ramis X, Salla JM, Mas C, Mantec￳n A, Serra A (2004) Kinetic study by FTIR, TMA, and
DSC of the curing of a mixture of DGEBA resin and ʳ-butyrolactone catalyzed by ytterbium
triflate. J Appl Polym Sci 92:381-393
4. White DR, White RL (2008) Isoconversion effective activation energy profiles by variable
temperature diffuse reflection infrared spectroscopy. Appl Spectr 62:116-120
5. Badrinarayanan P, Zheng W, Simon SL (2008) Isoconversion analysis of the glass transition.
Thermochim Acta 468:87-93
6. Madbouly SA, Otaigbe JU (2006) Kinetic analysis of fractal gel formation in waterborne poly-
urethane dispersions undergoing high deformation flows. Macromolecules 39:4144-4151
7. Ramis X, Cadenato A, Morancho JM, Salla JM (2003) Curing of a thermosetting powder coat-
ing by means of DMTA, TMA and DSC. Polymer 44:2067-2079
8. van den Beukel A (1986) Analysis of chemical short range ordering in amorphous Fe 40 Ni 40 B 20 .
J Non-Cryst Solids 83:134-140
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