Binding Energy of Strongly Deformed Radionuclides : Penning Trap Mass Spectrometry and Mean Field Theoretical Studies This thesis reports results of precision mass spectrometry of exotic nuclides as a means of elucidating their structure. The work was performed with the ISOLTRAP spectrometer at CERN’s ISOLDE facility. The author furthermore offers an overview of existing techniques used in Penning trap mass spectrometry and also reports on recent promising developments regarding ISOLTRAP. This eloquently written treatment covers both theory and experiment and includes a general phenomenological introduction to the nuclear structure intuition contained in the trends of nuclear binding energies