In spite of the profound theoretical understanding of the correlated quantum dynamics in atomic or molecular collisions, significant discrepancies were observed quite recently between experimental data for single ionization of helium in collisions with fast C6+- projectiles and all theoretical models. A modern imaging spectrometers was used in this experiment, which allowed to cover completely new geometries of the momentum phase-space of the collision fragments. One of the problems that arise in the theoretical treatment is to appropriately describe the role and the importance of the second helium electron. Therefore, it is advantageous to use atomic hydrogen as a target in experiments. This diploma thesis describes the best available theoretical models to explain the new experimenal data as well as the generation of atomic hydrogen as a target for ion collision measurements. In addition, differential and even fully differential cross sections for ionization of atomic hydrogen by C4+-projectiles will be presented and interpreted taking into account the experimental resolution by means of a Monte-Carlo simulation