Differential Scanning Calorimetry: An Introduction for by Dr. G. W. H. Höhne, Dr. W. Hemminger, Dr. H.-J. Flammersheim
By Dr. G. W. H. Höhne, Dr. W. Hemminger, Dr. H.-J. Flammersheim (auth.)
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Extra resources for Differential Scanning Calorimetry: An Introduction for Practitioners
3) is in principle the socalled Tian equation). Regarding Eq. 3), the conclusions are as follows: 1. When the signall:1T measured at a given moment is to be assigned to the heat flow rate CPr by which it is caused, the 3rd term in Eq. 3) must be taken into account (cf. Desmearing, Sect. 4). R must be determined by calibration (cf. Sect. 4); the time constant -rean also be obtained from calibration measurements (cf. below "Higher-order approximations" and Sect. 2). T -R . 6. [ 2 time ---.. 3. Measured curve of a heat flux DSC (schematic) with heat released inside the sample (exothermic effect).
In order to formulate the desired differential equation, according to Kirchhoff's laws, the voltage balance and current balance are made up for each loop and each node of the analogue electric circuit. For the circuit of Fig. 9, five equations for both voltages and currents are then obtained. On the basis of the laws of the science of electricity, these 10 equations are combined to form a differential 32 3 Theoretical Fundamentals of Differential Scanning Calorimeters equation and retranslated into the language of heat transport.
As the radiation exchange increases, however, non-linearly with temperature, the overall heat exchange is also non-linearly linked with the temperature difference between sample and reference sample. As a consequence, the measured temperature difference (and thus the measured differential heat flow rate cPm ) is non-linearly linked with the true heat flow rate into the sample cPtrue . This results in the calibration factor Kq, in the (linearly formulated) Eq. 8) As the measured heat flow rate cPm depends on sample parameters (Cp , mass m) and on the heating rate, Kq, too, implicitly depends on these quantities.