We associate a
t
t
-structure to a family of objects in
D
(
A
)
\boldsymbol {\mathsf {D}}(\mathcal {A})
, the derived category of a Grothendieck category
A
\mathcal {A}
. Using general results on
t
t
-structures, we give a new proof of Rickard’s theorem on equivalence of bounded derived categories of modules. Also, we extend this result to bounded derived categories of quasi-coherent sheaves on separated divisorial schemes obtaining, in particular, Beĭlinson’s equivalences.