The continuing progress in material and surface science opens the possibility to dive into the world of nanostructured systems. A strong stimulation in this fascinating area is given by the computer industry: every device like transistors must get smaller, be more reliable, have a shorter access time and be less energy consuming. In this field of “nanoelectronics” new types of devices are needed leading, e.g., to the development of a single electron transistor. Another important branch of the computer industry consists of the improvement in data storage. The amount of data grows exponentially. Thus, new types of non-volatile memory devices must be constructed mostly basing on a magnetic labeling of the memory elements. One key word in this context is the Giant Magnetoresistance (GMR) found by P. Grünberg and A. Fert. For their discovery both were awarded with the Nobel Prize in Physics in 2007. These considerations already explain the growing interest in the field of “nanomagnetism” which is of course closely related with surface magnetism due to the often dramatically enhanced surface-to-volume ratio of nano-scaled objects.