The product compositions in single-feed distillation columns can be sp
ecified only in certain regions of the composition space, which depend
only on the pressure, feed, and vapor-liquid equilibrium for the mixt
ure. In nonideal mixtures, even without azeotropes, the regions may al
low unusual product distributions. For example, the distillate in a ''
direct split '' is composed primarily of the lightest component. Intui
tion and experience with relatively ideal mixtures suggest that the ne
xt most plentiful component is the intermediate boiler. In nonideal mi
xtures, however, with or without azeotropes, the next most plentiful c
omponent may be the highest-boiling species with only trace amounts of
the intermediate boiler. For azeotropic mixtures, distillation bounda
ries may give rise to additional restrictions on the product compositi
ons. We describe how simple distillation boundaries deform into contin
uous distillation boundaries and, in a limited number of cases, how th
e simple distillation boundaries can be crossed in continuous columns
for certain ranges of the design variables. Unfortunately, such design
s may be quite sensitive to model uncertainties or to disturbances in
the parameters.