We have created stable monodisperse emulsions by shearing and rupturin
g crude polydisperse emulsions of larger droplets into smaller droplet
s having a unique size. To eliminate inhomogeneous fracture flow which
can lead to nonuniform rupturing and broad polydispersity, we use a s
hearing geometry with a narrow gap. We can control the final droplet s
ize by altering the shearing conditions and the emulsion's viscoelasti
city which depends on its composition. We argue that the high degree o
f monodispersity, indicated by Bragg scattering from colloidal crystal
s of droplets, may result from a capillary instability that includes t
he role of the emulsion's viscoelasticity.