This new volume of Landolt-Börnstein consists of two subvolumes, A "Diffusion in Semiconductors" and B "Diffusion in Non-Metallic Solids". This separation was necessary, because the field and the number of data is too large to be compressed into a single volume only. This separation also reflects the expected difference in the interest of potential users. Subvolume A has already been published in 1998. To hasten publication of subvolume B the compilations have been printed as the authors completed their manuscripts. Therefore, and due to the large amount of data in the field of Diffusion in Oxides subvolume B is further subdivided into two parts: the present Part 1, containing all data for Diffusion in Non-Metallic Solids without Diffusion in Oxides and Part 2 containing the data for Diffusion in Oxides, which is in preparation.