Data sets used to prepare Figures 5-23 and Figures S1-S2 in the Journal of Chemical Physics article entitled "Structure of crystalline and amorphous materials in the NASICON system Na_{1+x}Al_xGe_{2-x}(PO_4)_3 ." The data sets refer to the measured structure of these materials for the compositions x = 0, 0.4 and 0.8. NASICON is an acronym for sodium (Na) super-ionic conductor.