A new proposal to
obtain aggregation numbers from isothermal titration
calorimetry dilution experiments is described and tested using dodecyl
trimethyl ammonium bromide, dodecyl methylimidazolium chloride, dodecyl
methylimidazolium sulfonate, and didecyl methylimidazolium chloride
aqueous solutions at different temperatures. The results were compared
to those obtained from fluorescence measurements and also with data
from the literature. In addition to the aggregation number, the molar
free energy to transfer a solute molecule from the aggregate to the
bulk solution, the enthalpy corresponding to the formation of the
self-assembled suprastructures, the molar heat corresponding to the
dilution of monomers and aggregates, and an offset parameter to account
for unpredictable external contributions are simultaneously obtained
using the same method. The new equations are compared to those obtained
from previous proposals, and they are also analyzed in detail to assess
the impact of each fitting parameter in the profile of the calorimetric
isotherm. This new approach has been implemented in a computational
code that automatically determines the fitting parameters as well
as the corresponding statistical uncertainties for the large variety
of calorimetric profiles that have been tested. Given the high sensitivity
of the dilution experiments to the aggregation number for relatively
small assemblies, our approach is proposed also to quantify the oligomerization
state of biomolecules such as proteins and peptides.