Growth and characterization of YMnO$_{3}$ nanocrystalline prisms*

YMnO$_{3}$ epitaxial self-assembled nanoprisms were grown on GaN by molecular beam epitaxy. The prisms formed suddenly after 6 unit cells during Stranski-Krastanow epitaxial growth at 850 $^{o}$C, with sizes ranging from 20 nm to 60 nm in height and 50 nm to 500 nm in lateral dimensions. They were characterized via energy dispersive analysis of x-rays (EDAX) mapping and x-ray diffraction and reflectivity. EDAX line scans across the prisms showed that the prisms were composed of YMnO$_{3}$. X-ray diffraction showed a 2.2{\%} strain along the growth direction and a 1.6{\%} compression in the plane when compared to bulk lattice parameters.