Dependence of the Fictive Temperature of Glass on Cooling Rate
- 1 January 1976
- journal article
- Published by Wiley in Journal of the American Ceramic Society
- Vol. 59 (1-2) , 12-16
- https://doi.org/10.1111/j.1151-2916.1976.tb09376.x
Abstract
An equation derived by Ritland relating the cooling rate and fictive temperature for glasses without memory is extended to those with memory, i.e. those which exhibit a spectrum of relaxation times. Provided that the spectrum of relaxation times is temperature‐independent, the limiting fictive temperature, T′f, obtained when a glass is cooled through the transition region, is shown to be related to the cooling rate, q, by d In |q|/d(1/T'f)=‐Δh★/Rwhere R is the ideal gas constant and Δh★ the activation enthalpy for the relaxation times controlling the structural relaxation. Values of T′f vs q obtained from enthalpy measurements by differential scanning calorimetry are presented for B2O3, 0.4Ca(NO3)2—0.6KNO3, and borosilicate crown glasses; Δh★ is equal, within experimental error, to the activation enthalpy for shear viscosity. Values of T′f from volume and enthalpy measurements obtained at the same cooling rate for the borosilicate crown glass are equal.Keywords
This publication has 15 references indexed in Scilit:
- Dependence of the glass transition temperature on heating and cooling rateThe Journal of Physical Chemistry, 1974
- Thermodynamic properties from differential scanning calorimetry by calorimetric methodsThermochimica Acta, 1974
- Rheological properties of boric oxide and alkali borate glassesJournal of Non-Crystalline Solids, 1972
- Time‐dependent heat capacity in the glass transition regionJournal of Polymer Science Part A-2: Polymer Physics, 1971
- A Model of Structural Relaxation in GlassJournal of the American Ceramic Society, 1971
- Spectrum of Volume Relaxation Times in B2O3Journal of the American Ceramic Society, 1970
- Inadequacies of Viscosity Theories for B2O3The Journal of Chemical Physics, 1968
- Effects of a distribution of volume relaxation times in the annealing of bsc glassJournal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1967
- Limitations of the Fictive Temperature ConceptJournal of the American Ceramic Society, 1956
- Density Phenomena in the Transformation Range of a Borosilicate Crown GlassJournal of the American Ceramic Society, 1954