  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.
