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The hyperfine structure constants of the lowest and states of superheavy elements Z=119 and Z= 120 are calculated using {\em ab initio} approach. Core polarization and dominating correlation effects are included to all orders. Breit and quantum electrodynamic effects are also considered. Similar calculations for Cs, Fr, Ba and Ra are used to control the accuracy. The dependence of the hyperfine structure constants on nuclear radius is discussed.

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