In our Lecture we take the opportunity to describe the guiding ideas and our effort in the search for high-T, superconductivity. They directed the way from the cubic niobium-containing alloys to layered copper-containing oxides of perovskite-type structure. We shall also throw some light onto the circumstances and the environment which made this breakthrough possible. In the second part, properties of the new superconductors are described. THE BACKGROUND At IBM's Zurich Research Laboratory, there had been a tradition of more than two decades of research efforts in insulating oxides. The key materials under investigation were perovskites like SrTi03 and LaA103, used as model crystals to study structural and ferroelectric phase transitions. The pioneering ESR experiments by Alex Miiller (KAM; see Miiller, 1971) and W. Berlinger on transition-metal impurities in the perovskite host lattice brought substantial insight into the local symmetry of these crystals, i,e. , the rotations of the TiO6 octahedra, the characteristic building units of the lattice. One of us (KAM) first became aware of the possibility of high-temperature superconductivity in the 100-K range by the calculations of T. Schneider and E. Stoll on metallic hydrogen (Schneider and Stoll, 1971). Such a hydrogen state was estimated to be in the 2-3 Mbar range.. Subsequent discussions with T. Schneider on the possibility of incorporating sufFicient hydrogen into a high-dielectric-constant material like SrTiO3 to induce a metallic state led, however, to the conclusion that the density required could not be reached. While working on my Ph. D. thesis at the Solid State Physics Laboratory of the ETH Zurich, I (JGB) gained my first experience in low-temperature experiments by studying the structural and ferroelectric properties of perovskite solid-solution crystals. It was fascinating to learn about the large variety of properties of these materials and how one could change them by varying their compositions. The key material, pure SrTi03, could even be turned into a superconductor if it were reduced, i.e. , if oxygen were partially removed from its lattice (Schooley et al. , 1967). The transition temperature of 0.3 K, how-*This lecture was delivered 8 December 1987, on the occasion of the presentation of the 1987 Nobel Prize in Physics. ever, was too low to create large excitement in the world of superconductivity research. Nevertheless, it was interesting that superconductivity occurred at all, because the carrier densities were so low compared to superconducting NbO, which has carrier densities like a normal metal. My personal interest in the fascinating phenomenon of superconductivity was triggered in 1,978 by a telephone call from Heinrich Rohrer, the manager of a new hire at IBM Riischlikon, Gerd Binnig. With his background in superconductivity and tunneling, Gerd was. interested in studying the superconductive properties of SrTiO3, especially in the case when the carrier density in the system was increased. For me this was the start of a short but stimul...