We analyze transmission electron microscopy (TEM) images of self-

assembled quasicrystals, composed of binary systems of nanoparticles. We use an

automated procedure that identifies the positions of dislocations and determines

their topological character. To achieve this we decompose the quasicrystal into its

individual density modes, or Fourier components, and identify their topological

winding numbers for every dislocation. This procedure associates a Burgers function with

each dislocation, from which we extract the components of the Burgers

vector after choosing a basis. The Burgers vectors that we see in the experimental

images are all of lowest order, containing only 0's and 1's as their components. We

argue that the density of the different types of Burgers vectors depends on their

energetic cost.