Atomic calculations and search for variation of the fine-structure constant in quasar absorption spectra

A brief review of the search for variation of the fine-structure constant in quasar absorption spectra is presented. Special consideration is given to the role of atomic calculations in the analysis of the observed data. A range of methods that allows us to perform calculations for atoms or ions with different electron structure and which cover practically all the Periodic Table of elements is discussed. Critical compilation of the results of the calculations as well as a review of the most recent results of the analysis are presented.