Triple-oxygen isotope (d 18 O and D 0 17 O) analysis of sulfate is becoming a common tool to assess several biotic and abiotic sulfur-cycle processes, both today and in the geologic past. Multi-step sulfur redox reactions often involve intermediate sulfoxyanions such as sulfite, sulfoxylate, and thiosulfate, which may rapidly exchange oxygen atoms with surrounding water. Process-based reconstructions therefore require knowledge of equilibrium oxygen-isotope fractionation factors ( 18 a and 17 a) between water and each individual sulfoxyanion. Despite this importance, there currently exist only limited experimental 18 a data and no 17 a estimates due to the difficulty of isolating and analyzing short-lived intermediate species. To address this, we theoretically estimate 18 a and 17 a for a suite of sulfoxyanions-including several sulfate, sulfite, sulfoxylate, and thiosulfate species-using quantum computational chemistry. We determine fractionation factors for sulfoxyanion ''water droplets" using the B3LYP/6-31G+(d,p) method; we additionally calculate higher-order method (CCSD/aug-cc-pVTZ and MP2/aug-cc-pVTZ) scaling factors, and we qualitatively estimate the importance of anharmonic zero-point energy (ZPE) corrections using a suite of gaseous sulfoxy compounds. Methodological scaling factors greatly impact 18 a predictions, whereas ZPE corrections are likely small (i.e., 6 1‰) at Earth-surface temperatures; existing experimental data best agree with 18 a predictions when including redox state-specific CCSD/aug-cc-pVTZ scaling factors. Theoretical pH-and temperature-specific bulk-solution (i.e., abundance-weighted average of all species) 18 a values yield root-mean-square errors for sulfate/water, sulfite/water, and thiosulfate/water equilibrium of 4.5‰ (n ¼ 18 experimental conditions), 3.7‰ (n ¼ 27), and 2.2‰ (n ¼ 3), respectively. However, sulfate-and sulfite-system agreement improves considerably when comparing experimental results only to SO 3 (OH) À /H 2 O (RMSE = 1.6‰) and SO 2 (OH) À /H 2 O (RMSE = 2.2‰) predictions, rather than bulk solutions. This is particularly true for the sulfite system at high and low pH, when SO 2 (OH) À is not the dominant species. We discuss potential experimental and theoretical biases that may lead to this apparent improvement. By combining 18 a and 17 a predictions, we additionally estimate that sulfate, sulfite, sulfoxylate, and thiosulfate species can exhibit D 0 17 O values as much as 0.199‰, 0.205‰, 0.101‰, and 0.186‰ more negative than equilibrated water at Earth-surface temperatures (reference line slope = 0.5305). This theoretical framework provides a foundation to interpret experimental and observational triple-oxygen isotope results of several sulfur-cycle processes including pyrite oxidation, microbial metabolisms (e.g., sulfate reduction, thiosulfate disproportionation), and hydrothermal anhydrite precipitation. We highlight this with several examples.