Aliphatic azidonitriles separated by three or four carbon atoms undergo facile cycloadditions in the presence of BF(3)center dot OEt(2) at room temperature or lower, to give bicyclic tetrazoles. 1-Azido-[2-aryl-1,3-dioxolanyl]-glycerols afford oxabicyclic tetrazoles with trimethylsilyl cyanide (TMSCN). Aspects of these facile proximity-induced 1,3-dipolar cycloadditions are discussed with mechanistic interpretations.