The small -angle X-ray scattering method was used to study the properties of nanocrystals produced from annealing the newly developed high-strength, high-toughness amorphous alloy Al88Ce2Ni9Fe1. The distribution of the nanocrystal size and the changes in specific internal surface were studied in a series of experiments. Information on the gyration radius , Porod radius, integration invariance, distribution of nanocrystal size, crystallity and the changes in specific internal surface are obtained.