A generator is provided for eluting a daughter radioisotope from a parent radioisotope. The generator is characterized by an elongate closed vessel having a convergent closed lower end and containing therein a supply of a parent radioisotope material spaced from the closed lower end. The vessel is closed at its upper end with a closure through which extends a first conduit communicating with the upper end of the vessel for introducing an eluant into the vessel. Also extending through the closure is a second conduit communicating with the lower end of the vessel which provides for passage of eluate from the lower end of the vessel.