You only need to the corresponding slip system and the slip direction is the direction of the Burgers vector. Now you can analyse your atom positions and teh Burgers vector is the shortest vector between 2 atoms lying in the slip direction. The formula depends on your crystal lattice but you can calculate it by yourself
Burgers vector is a geometrical description of the loss of periodicity of the crystal lattice. Primarily it doesn't has anything to do with atoms or molecules since it is not given in dimensions of atoms but as relative distance in the lattice. For primitive it can be only an integer, but for centered cells also simply fractions. Partial dislocations can be also used for specific conditions.
Coming back to your question: you can determine always a Burgers vector going around a dislocation and determine the missing period. For simple unit cells it is quite simple, for bigger cells the concept of the Burges vector is not always useful since the lengths become to big which makes experimentally no big sense. But again: it is only a geometrical concept destribing the deviation of a perfect crystal lattice.