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Abstract:
In this thesis, the hyperfine structure of bound electrons in hydrogen-like ions is considered with corrections to the energy levels due to quantum electrodynamics (QED). Corrections to the wave function as well as the magnetic potential are determined for leptonic and hadronic vacuum polarisation (VP). Hadronic VP is treated with a semi-empirical approach. A numerical method to determine the energy shift is presented and the results are compared to values found in literature, as well as to known approximations. Uncertainties due to the nuclear radius are given and discussed. Point-like, spherical and Fermi distributed nuclear models are considered and the differences of the results are discussed.