Residue-curve and distillation-line maps are useful tools in the desig
n of azeotropic distillation sequences. In this work we make use of re
sidue-curve and distillation-line maps to develop a procedure for the
design of single-feed columns at finite reflux. The procedure is nonit
erative with respect to the reflux and boil-up ratios, instead using a
n 'operation lear formed by the total and minimum reflux conditions. T
he operation leafbounds the possible liquid composition profiles in a
column section and is calculated from the product composition. The ove
rlap of operation leaves is a necessary and sufficient condition for c
olumn feasibility. Special cases of operation leaves where the liquid
composition profile strays outside the leaf are also presented. 'Open
leaves', where the product distillation lines or residue curves and th
e pinch-point curves end at different nodes are introduced. These open
leaves can be used to facilitate the crossing of total reflux boundar
ies at finite reflux using side-column flow sheets. The use of side co
ndensers and reboilers is shown to reduce the capital penalty in the c
rossing of total reflux boundaries. The concept of operation leaves ca
n be applied to the retrofit or reuse of existing distillation columns
by defining stage composition lines that bound the composition space
within the leaf achievable with a given number of stages.