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Coexistence curves in mixtures of limited miscibility with the lower criticalconsolute temperature (LCT), of 3-picoline with deuterium oxide (D$_2$O), andD2O/H2O have been determined. They were tested with respect to the orderparameter, the diameter of the binodal, and coordinates of the criticalconsolute point (critical temperature Tc and critical concentration fic)Studies were carried out using the innovative method based on the analysis ofrelative volumes occupied by coexisting phases, yielding high-resolution data.The clear violation of the Cailletet-Mathew law of rectilinear diameter for theLCT mixtures of limited miscibility is evidenced. For the order parameter, thenew distortion-sensitive analysis method yielded the evidence for themodel-value of the order parameter critical exponent beta = 0.326.up to ca. 1 Kfrom Tc. Finally, the simple & easy method for determining the criticalconcentration by testing relative volumes of coexisting phases (oralternatively fractional meniscus heights, h) is presented. The significance ofthe invariant value hc(Tc, fic) = 1/2 is highlighted. The appearance of themilky & bluish critical opalescence is also shown

New insight into 3-picoline - deuterium oxide (D$_2$O) mixtures of limited miscibility with the lower critical consolute temperature