The structure of ammonium gallium cryolite (NH
4)
3GaF
6 was investigated by
19F and
69,71Ga magic-angle spinning(MAS) NMR in comparison with X-ray powder diffraction followed by Rietveld refinement. In agreement with previousthermodynamic measurements, NMR experiments on (NH
4)
3GaF
6 support the model of rigid GaF
6 octahedra. Athigh spinning speeds (30 kHz), the scalar coupling between the six equivalent
19F nuclei and
69,71Ga can bedirectly observed in the powder spectra. The coupling constants are
J19F
69Ga = 197 Hz and
J19F
71Ga = 264 Hz.To explain the
71Ga spectra recorded at 3 kHz a small distribution of quadrupolar frequencies has to be included.The spread of the spinning sidebands hints to a largest
Q value of 28 kHz for
71Ga. This can be explained by theoccurrence of highly symmetric GaF
6 octahedra, which are tilted against the surrounding atoms. In addition, theincomplete motional excitation does not average out the quadrupolar effects. NMR findings are in discrepancy tothose of Rietveld refinement. As result it appears that X-ray diffraction is not sensitive enough to deliver properresults.