Model phospholipid membranes and vesicles have long provided insight into the nature of confined materials and membranes while also providing a platform for drug delivery. The rich thermodynamic behavior and interesting domain shapes in these membranes have previously been mapped in extensive studies that vary temperature and composition; however, the thermodynamic impact of tension on bilayers has been restricted to recent reports of subtly reduced fluidfluid transition temperatures. In two-component phosphatidylcholine unilamellar vesicles [1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC)/1,2-dipalmitoyl-sn-glycero-3-phosphocholine (DPPC)], we report a dramatic influence of tension on the fluid-solid transition and resulting phases: At fixed composition, systematic variations in tension produce differently shaped solid domains (striped or irregular hexagons), shift fluid-solid transition temperatures, and produce a triple-point-like intersection of coexistence curves at elevated tensions, about 3 mN/m for 30% DOPC/70% DPPC. Tension therefore represents a potential switch of microstructure in responsive engineered materials; it is an important morphology-determining variable in confined systems, and, in biological membranes, it may provide a means to regulate dynamic structure.ripple tilt bilayer | phase diagram | domain morphology | biomimetic membrane | phase separation P hospholipid vesicles, capsular lamellar assemblies of phospholipid amphiphiles, are model systems that have advanced our perceptions of material surfaces and thin films, facilitated drug delivery technologies, and anchored the understanding of biological membranes to fundamental physics. Extensive studies of phase transitions in phospholipid bilayers and vesicles have focused almost exclusively on temperature and composition, revealing complex phase behavior (1-6) and beautiful patterns in the domain shapes within vesicle membranes (4, 6, 7). Tension has been mostly neglected as a thermodynamic variable and is unspecified in phase diagrams of vesicle membranes, although in analogous studies of phospholipid monolayers, surface pressure is known to drive transitions between gas-like layers, liquid fluids, and ordered crystals, which are sometimes polymorphic (8-10). Besides its fundamental thermodynamic importance, membrane tension may be biologically important, because stresses on cells can dominate their interactions (11-14) and fates (15). Indeed, tension has been proposed to regulate the dynamic structure of the cellular surface, for instance through coupling with curvature (16) or by clustering proteins in "rafts" (17, 18).Used as a mechanical variable, tension can stretch or bend uniform bilayers (19,20). In multicomponent vesicles containing coexisting fluid domains, coupling of line tension with membrane bending determines vesicle shapes and drives budding transitions (21-24). Tension has also been hypothesized, but not confirmed, to influence the shapes of solid domains (25). Relevant to the current focus on the thermodynamic role of t...