We study the dynamics of the glass formers toluene and glycerol below the g
lass transition temperature T-g by means of H-2 NMR techniques. Whereas for
toluene a slow beta-process is observed in dielectric spectroscopy, this p
rocess is not discernible in glycerol. We demonstrate that standard 1D and
2D NMR experiments cannot resolve the motional process because very small a
ngular amplitudes are involved. However, applying the solid-echo technique
and varying the interpulse delay, we detect changes of the spectra for tolu
ene but not for glycerol, Performing simulations, we estimate molecular reo
rientation of about 6 degrees. We conclude that the beta-process in simple
organic glasses originates from highly restricted molecular reorientation o
f essentially all molecules. No indications for "islands of mobility" are f
ound.