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DEFINITIONS. transition:. Refers to a change of state induced by changing temperature or pressure (or volume) from one thermodynamic equilibrium to another. relaxation:. Refers to the time required to respond to the time required to respond
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DEFINITIONS transition: Refers to a change of state induced by changing temperature or pressure (or volume) from one thermodynamic equilibrium to another relaxation: Refers to the time required to respond to the time required to respond To a change in temperature or pressure (or volume). It also implies Some measure of the molecular motion, especially near a transition Condition. Frequently, an external stress is present permitting the re- Laxation to be measured dissipation: Refers to the emission or absorption of energy – that is a loss peak – at a transition
poly(dimethyl siloxane) (PDMS) heat flux or cp • glass transition • enthalpy relaxation • cold crystallization • melting
T T(t) t slope: Cp can be calculated from the heat fluxQ Q is determined by the exactness of the signal M*is determined by the exactness of the program rates
Consequently, a correction is needed that is independent of the parameters of the instrument: M. J. O`Neill, Anal. Chem. 38 (1966) 1331 Tg, Tm, Tcr, TS-N, TSA-SC,…TN-I…
Classification of the thermodynamic transitions according to Paul Ehrenfest*): Discontinuity the derivative (1st, 2nd,…) of the Gibbs function G *)Ehrenfest P Proc Kon Akad Wetensch Amsterdam (1933) 36, 153
In a real experiment heat transfer requires time and a temperature gradient and this is what we actually see: a (endothermal) melting peak
Hoffman & Weeks Plot* slope stability parameter thermodynamic equilibrium melting temperature isothermal crystallization temperature experimental melting temperature J. D. Hoffman, J. J. Weeks, J. Res. Bureau Standards 66A (1962) 13 *(solution crystl.)
At the glass transition Volume Enthalpy Storage modulus Expansivity Heat capacity Loss modulus
Vspec Hspec high cooling rate CR1 low cooling rate CR2 Tg2 Tcr Tg1 T (dV/dT)~ a (dH/dT)p= cp Tg1 Ti2 Tg2 Te2
Calculation of Tg according to M. J. Richardson, N. G. Savill, Brit. Polym. J. 11 (1979) 123 Tg determined independent of the heating rate