(Chemical Equation Presented) The reaction of β-iodo-α,β- unsaturated γ-sultones (i.e., 4-halo-1,2-oxathiole 2,2-dioxides) in aprotic polar solvents such as DMSO or acetone, with 'soft' nucleophiles such as iodide or thioacetate, yields an allenesulfonate by a very facile halophilic ring-opening E2-elimination. The 'harder' nucleophile, azide ion, reacts under the same conditions to yield the corresponding β-azido- α,β-unsaturated γ-sultone (i.e., 4-azido-1,2-oxathiole 2,2-dioxide), displacing the β-halide by an addition-elimination mechanism. In contrast, in the hydroxylic solvent CD3OD at ambient temperature, various nucleophiles yield neither of the above-mentioned products, but catalyze a rapid replacement of the Cα-H by deuterium. Factors underlying this intriguing rapid exchange are proposed. Interestingly, the β-bromo analogue exhibits similar reactivity except for the halophilic ring-opening. Calculations indicate the relative importance of the β-halogen and the S-O(-C) bonds in enhancing the acidity of the H-C α-S(O)2- grouping.