Abstract: For the evaporation of given components from initial multiple-substance mixtures and systems at subatmospheric pressure, individual portions (P1, P2, P3, P4, P5) of the multiple-substance mixture and systems are placed in ring crucibles (17) stacked at several levels. Vapors of the lower-boiling component are drawn off through a vapor exhaust opening in each crucible, while the top ring crucible (17) is closed except for its vapor exhaust opening.