The invention relates to a low-temperature distillation plant (LTD plant) (1) for the distillation of a mixed liquid (5) to form a pure liquid (6). The LTD plant has an evaporator (2), with a vapour chamber (4) and with a relatively warm mixed liquid (5) that can be introduced, and has a condenser (3), with a vapour chamber (4) and with a relatively cool pure liquid (6) that can be sprayed in, wherein the vapour chambers (4) of the evaporator (2) and of the condenser (3) are connected to one another by vapour connections (10) to form a common vapour chamber (4). According to the invention, the LTD plant comprises at least one assembly device (14) which is connected at an inlet side to the vapour chamber of a supercooling chamber (15), wherein collected mixed liquid (5) can be introduced into the supercooling chamber (15) from a or the coolest evaporator (2). At the outlet side, the assembly device (14) is connected to the vapour chamber of a superheating chamber (16), wherein collected pure liquid (6) can be
