In this letter we consider the intrinsic diffusivities in a multicomponent
random alloy in terms of the ratios of atom-vacancy exchange frequencies. U
sing the exact sum rule due to Moleko and Allnatt, which relates phenomenol
ogical coefficients in the multicomponent random alloy, we deduce an exact
relationship between the intrinsic diffusivities and the ratios of the exch
ange frequencies. We exemplify the finding with a consideration of binary a
nd ternary random alloys. We show that the new relationship should be robus
t enough for employment in multicomponent alloys showing non-ideality.