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Elements with very large ionization energies tend to have highly negative (favorable) electron affinities because they have a strong attraction for additional electrons. A high ionization energy implies that it requires a substantial amount of energy to remove an electron from the atom or ion, indicating a strong binding force between the electrons and the nucleus.
Such elements have a high electron affinity because they can readily accept additional electrons to achieve a stable noble gas electron configuration. Group 2 elements (alkaline earth metals) are an exception to this statement as they have large ionization energies but small or slightly positive electron affinities due to their relatively stable electron configurations.