The long known, but hitherto poorly understood, thermodynamically controlled diacetalation of rac-threitol with alkylaldehydes provided bicyclic, cis-tetraoxadecalin (TOD) ("66") and bi(dioxolanyl) (BDO) ("55") products, shown to be formed in acid-concentration and temperature-dependent ratio. The configurational and conformational isomeric diacetals obtained in four such reactions of substituted aldehydes (RCHO, R = CH(3), CH(2)Cl, CH(2)Br, CO(2)CH(3)) with rac-threitol were isolated and characterized. A variable acid-concentration analysis of the equilibrium mixture of products in one such case (R = CH(2)Br) was performed and provided equilibrium constants and, hence, free-energy differences among these products and their relatively stable protonated intermediates. The latter were rationalized by the unusually high proton-affinity calculated for the cis-TOD ("66") form.