A dilithium recrystallizer was an engineering component of Cleveland Booker's ship in the 32nd century.
In 3188, the dilithium recrystallizer was cracked, as described by Booker, like a lychee during a midspace collision with Michael Burnham, who was wearing the red angel suit at the time. Later, when Burnham said the ship's comms were nice, Booker said what would be nice was if she could whip up a new dilithium recrystallizer to replace the damaged one. Until he had a supply of dilithium, he could not complete his run to Sanctuary Four. (DIS: "That Hope Is You, Part 1")