The R-lines of the Mn4+ fluorescence, associated with 2E --> 4A2 trans
itions in gadolinium gallium garnet exhibits large broadening as compa
red with other ions with d3 shell. The laser excitation and fluorescen
ce spectra without magnetic field show that this is partially inhomoge
neous broadening related to presence of charge-compensating Ca2+ ions.
Remaining part of the broadening is due to antiferromagnetic exchange
interaction between Mn4+ and surrounding them six Gd3+ ions. The high
magnetic field up to 20 T has been used to resolve the spectra broade
ned by spin-spin interaction. The estimated value of the spin-spin exc
hange constant is equal to J almost-equal-to 1.9 cm-1.