Journal of Thermal Analysis and Calorimetry

, Volume 88, Issue 3, pp 751–755

Compensation law again


DOI: 10.1007/s10973-006-8139-4

Cite this article as:
Norwisz, J. & Musielak, T. J Therm Anal Calorim (2007) 88: 751. doi:10.1007/s10973-006-8139-4


Some preliminary considerations suggest that the so-called ‘compensation law’ is a result of the misinterpretation of evaluation procedure. The both parameters: pre-exponential factor and activation energy are calculated from the same set of experimental data. A confidence ellipse could describe the precision of these parameters. In the case of using the least square method for straight-line parameters evaluation, we could calculate a axes of the ellipse, using experimental data. If the observed relationship between pre-exponential factor and activation energy agree with the ‘pre-calculated’ direction of main axis of confidence ellipse, we have a strong support to believe that the observed ‘compensation’ effect is only an artificial effect of misinterpretation. Some calculations performed for a published experimental data have confirmed these suspicions. This also, indirectly indicates that precision of such experiments is probably lower than expected.


apparent linear relationshipcompensation effectcompensation lawconfidence ellipsecovariance matrix

Copyright information

© Springer Science+Business Media, LLC. 2007

Authors and Affiliations

  1. 1.Department of Non-Ferrous MetallurgyAGH — University of Science and TechnologyCracowPoland