  The bound state spectrum of the low-lying triplet states in the Be atom is
investigated. In particular, we perform accurate computations of the bound
triplet $S$, $P$, $D$, $F$, $G$, $H$ and $I$ states in the Be atom. The results
of these calculations are employed to draw the spectral diagram which contains
the energy levels of the triplet states. Based on our computational results we
can observe transitions from the low-lying bound states to the weakly-bound
Rydberg states. For the $2^3S$, $3^3S$ and $4^3S$ states in the Be atom we also
determine a number of bound states properties.
