Monochromatic x-ray diffraction data collected in-situ within the diamond anvil cell show perovskite structured Neighborite (NaMgF3) transforms to the CaIrO3-type post-perovskite structure between 28 and 30 GPa. Upon laser heating, the CaIrO3-type structure transforms further to an unknown structure (Pnnm, designated N-phase). Upon pressure release, N-phase NaMgF3 becomes x-ray amorphous. A structure transformation in post-perovskite MgSiO3 and MgGeO3 to N-phase may account for previous observations of extra x-ray reflections during high pressure experiments and tomographic observations of an additional boundary in the lower mantle below the D″ discontinuity.