The mass scattering coefficients for Li, B, C, ${\mathrm{H}}_{2}$O and Na at wave-lengths $\ensuremath{\lambda}.32$,.43,.54,.66,.79A were measured directly by collecting the scattered radiation in an ionization chamber surrounding the scatterer, and comparing its intensity with that of a portion of the primary beam going through an auxiliary ionization chamber of equal length along the ray path. The primary beam consisted of the continuous radiation from a Coolidge tungsten tube, filtered through Al and Cu until the spectral width between the half-maximum intensity points was about 25 percent of the mean wave-length. Corrections were made for internal absorption in the scatterer and for the increased absorption of the scattered beam in the ionization chamber due to the Compton effect. The uncertainty in these corrections forms the chief limitation on the accuracy of the measurement. The values of mass scattering coefficient determined are tabulated. The scattering coefficient in all cases starts, for short wave-lengths, below the value computed from Thomson's formula, and slowly increases for longer wave-lengths. For all substances but boron it finally crosses the Thomson value because of gradual entering in of excess scattering.