We provide an explicit combinatorial description of the embedding of the crystal of
Kashiwara–Nakashima tableaux in types B and C into that of i-Lusztig data associated to a
family of reduced expressions i of the longest element w 0. The description of the
embedding is simple and elementary using only the Sch�tzenberger's jeu de taquin and
RSK algorithm. A spinor model for classical crystals plays an important role as an
intermediate object connecting Kashiwara–Nakashima tableaux and Lusztig data.