A method of ultramicrotomic thin sections has been developed for the study of the alteration rim of solids. Chemical and structural analysis of layers a few microns thick are possible using the Scanning Transmission Electron Microscope (STEM). The examples presented enable us to distinguish between two formation mechanisms of the alteration rims: (1) During interaction of basaltic glass with seawater, the alteration rim is formed by precipitation of the least soluble phases on the surface after a complete breakdown of the glass network. (2) Diffusion appears to be the dominant phenomenon in the case of a SiO 2Na 2OCaOP 2O 5 glass altered by tris-hydroxymethyl-aminomethane. The first nuclei of hydroxy-apatite are formed in a hydrated residual glass.