Collision physics provides fundamental understanding of the ionization process. The differential spectra of ionized electrons provide detailed information on the dynamics of the ionization process. The characteristic structure of the species can be associated with different collision mechanisms. The ionization of atoms and molecules is one of the fundamental processes of atomic physics. Single and multiple ionization of atoms by ions is one of the fundamental processes in atomic physics with important applications in plasma physics, fusion, upper atmospheric studies, astrophysics, nuclear astrophysics, and many other areas technological. Because of this broad field of application, great efforts have been made, both experimental and theoretical, to improve our understanding of ionization processes resulting from the impact of ions with atoms. Say no to plagiarism. Get a tailor-made essay on "Why Violent Video Games Shouldn't Be Banned"? Get an original essay The description of multiple ionization is very boring mainly due to the complexity of the many possible paths leading to it. For example, the double ionization of atoms by fast ions is usually understood in terms of three mechanisms (McGuire, 1982). First the shake-off process, in which a fast electron is ejected in direct ionization with the projectile, while the second electron is ionized by final state rearrangement, secondly a two-step process, in which both electrons are ejected simultaneously through direct ionization the interaction with the projectile and thirdly the ionization of the inner shell electron with a post-collision Auger decay. The shake off process and inner shell ionization produce double ionization cross sections and are essentially proportional to single ionization. The two-step mechanism is based on the action of the projectile on the two active electrons. Multiple ionizations depend on the energy of the projectile and its state of charge which is significantly different from that of single ionization. In case of several multiple ionization processes, double ionization is the most important since the main contributions to the total ionization of the target are given by the single and double ionization processes. Theoretical calculations of double ionization cross sections are considered to be of great importance because the contribution of several physical processes, e.g. simultaneous ejection of two electrons, inner shell ionization followed by Auger emission, double self-ionization process with excitation for resonance, etc. can be estimated separately at various impacts energies. The independent particle model is a widely used approach for the multiple ionization process. In this approach it is assumed that the ionization of one electron is independent of the other and the relative probabilities are given by the binomial distribution (Sant-Anna et al., 1998; Kirchner et al., 1999). This method depends heavily on the quality of the calculation of the single electron ionization probability. Although some general qualitative estimates can be obtained through simple semi-classical calculations using the hydrogenated wave function (Sant-Anna et al., 1998). An alternative theoretical approach to IPM is the statistical energy distribution model. It was formulated by Russek and Thomas (1958) and further developed by Cocke (1979) and Kabachnik et al. (1997). The hypothesis is based on the fact that the probability of multiple ionizations is directly related to the energy deposited by the projectile on the target. The deposited energy is then statistically distributed between.