  The hyperfine structures of the $2\,^3\!S_1$ and $2\,^3\!P_J$ states of the
$^7$Be$^{2+}$ and $^9$Be$^{2+}$ ions are investigated within the framework of
the nonrelativistic quantum electrodynamics (NRQED). The uncertainties of
present hyperfine splitting results of $^9$Be$^{2+}$ are in the order of
several tens of ppm, where two orders of magnitude improvement over the
previous theory and experiment values has been achieved. The contribution of
nuclear electric quadrupole moment to hyperfine splitting of $^7$Be$^{2+}$ has
been studied. A scheme for determining the properties of Be nuclei in terms of
Zemach radius or the electric quadrupole moment based on precise spectra is
proposed, and it opens a new window for the study of Be nuclei.
