By using the free-energy variational method based on the Bogoliubov inequal
ity and a diluted and random-bond Ising model with nearest-neighbors intera
ctions, we investigate the magnetic phase diagram and some of the magnetic
properties of the disordered Fe0.9-qMn0.1Alq alloys system. Thus the mean m
agnetization per site, and hence the average hyperfine magnetic field, are
computed. The so-obtained results are compared with room-temperature experi
mental data obtained by Fe-57 Mossbauer spectroscopy and vibrating sample m
agnetometry, from which a very good agreement is achieved. Here, the occurr
ence of a "critical concentration" at 40.0 at. % Al, for which the system p
asses from a ferromagnetically ordered state to a paramagnetic one, is evid
enced. The model allows obtaining an estimate of the exchange energy betwee
n Fe-Fe pairs. How this energy depends on the Al concentration and the role
of the manganese atoms is also presented and discussed.