Since 2004, numerous archeomagnetic intensity data have been obtained using the vibrating sample magnetometer Triaxe, which measures full-vector magnetization directly at high temperatures, in either an applied or zero field. Satisfactory comparisons have been made between Triaxe intensity data and results derived from more conventional Thellier-Thellier type techniques, indicating the reliability of Triaxe data. For each specimen analyzed, a Triaxe archeointensity value is obtained from the average of R'(Ti) data. The R'(Ti) parameter is determined every 5°C and corresponds to the ratio, multiplied by the laboratory field intensity, between the natural remanent magnetization (NRM) and laboratorythermoremanent magnetization (TRM lab) fractions that are lost between reference temperature T1 and a given temperature Ti between T1 and reference temperature T2. Here, we introduce an additional parameter, based on so-called AutoR'(Ti) data, to facilitate and improve the interpretation of Triaxe measurements. Each individual AutoR'(Ti) datum corresponds to an averaged R'(Ti) value; the AutoR'(Ti) dataset is then obtained by gradually decreasing the temperature range from T1 to T2 to a minimum temperature interval near T2. Several examples of Triaxe measurements show the value of using AutoR'(Ti) data to isolate the most appropriate temperature range for an intensity determination, as well as to characterize the cooling rate effect on TRM acquisition. In particular, these experiments confirm that the Triaxe procedure minimizes this effect because, when it is present, it appears to be largely due 2 to magnetic grains with high unblocking temperatures (>~350°C). Moreover, the AutoR'(Ti) dataset provides alternatives for estimating mean archeointensity values at both the fragment and fragment-group levels. We show that the simple approach used so far, based on the average of the R'(Ti) data determined over a single temperature interval, provides results as reliable as those derived from other options.