A model for the solution structure of an RNA tetraplex, (rUGGGGU)4, has been obtained by two-dimensional NMR spectroscopy and molecular dynamics. The molecule is parallel stranded and Hoogsteen base-paired in 50 mM KCl, and it is so stable that three of its six imino protons have exchange half-lives measured in days at 40 degrees C. The tetraplex is stabilized by base stacking and by the hydrogen bonds in four G quartets and at least one U quartet. This is the first indication of the existence of U-quartet structures of which we are aware.