We reanalyse an experimental work, including some unpublished results, on the adsorption of 4He atoms on a substrate in a 4He- 3He mixture. We verify with remarkable accuracy the powerlaw dependence of the 4He adsorption thickness as a function of the distance AT to coexistence : e = C1/ (ΔT) 1/3, for thicknesses e ranging from 20 to 80 Å (5 to 20 atomic layers). The analysis is made possible by the great purity of the sample and the accuracy ( < 1 Å) of the capacitive experimental method. The coefficient C 1 and correction to the leading behaviour are derived using both a thermodynamic model and the Cahn approach