The data illustrates the process of creation of dislocation quadrupoles in FCC Al. The density of dislocations in our data is 3.8 × 1013 m-2 which is the lowest published to date and is comparable to the density of dislocations in real crystals. The data set can be found at the following URL:https://data.mendeley.com/datasets/mvmychgk4j/1. The detailed research article is "A topologically correct method of dislocations construction for atomistic modeling" (K. Yu. Khromov et al., 2019).