The spin fluctuations with large wave vectors in paramagnetic nickel a
bove T-c have been studied by means of computer calculations of the dy
namical susceptibility. The spectral function and the cross section fo
r neutron scattering have well-defined peaks that indicate the special
character of the dynamics of 3d electrons in Ni. The peak has not, ho
wever, resonance shape. The structure of spin excitations is determine
d by critical spin dynamics as well as by electronic energy bands. [S0
163-1829(98)04837-1].