Molecular electronics is a rapidly expanding research field at the interface between chemistry, physics, and engineering where molecules are designed and tested as electronics components. In the very newly started Uppsala University UniMolecular Electronics Center (U3MEC) focus is placed on charge transport through single molecules or through small and well-defined assemblies of molecules. The area is driven forward by Moore’s law and the demand for device miniaturization. Present research in single-molecule electronics should be categorized as fundamental research, however with a great potential for future applications in areas spanning from electronics to medicine. The U3MEC constellation is composed of chemists, physicists, and engineers, and of experimentalists as well as theoreticians. A total of nine research groups are presently part of U3MEC. At the core of U3MEC is the design of molecules with targeted properties to function as diodes, resistors, switches, and conducting wires.