This structure is a meso compound. It cannot exist as a racemate.

meso-2,3-dibromobutane

or

(R,S)-2,3-dibromobutane

Note that the three pairs of substituents (H, CH3, Br) attached to the stereogenic carbons C2 and C3 are anti (180o) to one another. This anti conformation has a center of symmetry. If you rotate the structure about the C2 and C3 to form gauche eclipsed conformations, racemate is formed. Achiral compounds cannot be resolved. Click here for help with R and S configuration.