Many industrial processes depend on efficient separation methods for azeotropic or other close‐boiling or low relative volatility mixtures. Whereas ordinary distillation is either uneconomical or impossible in these cases, the addition of specially chosen separating agents can generally facilitate the separation. Four of the five principal techniques employed are discussed: extractive or homogeneous azeotropic distillation, where the liquid separating agent is completely miscible; heterogeneous azeotropic distillation, where the agent, known as the entrainer, forms one or more azeotropes but causes immiscibility; distillation in the presence of ionic salts, which alters the relative volatilities of the components; and pressure‐swing distillation, where a series of columns operate at different pressures. Residue curve maps, material balance lines, and column sequences are given for several commercially important systems. Methods for evaluating total annualized costs are also discussed as are models for determining feasible separating agents.