A compound, $\mathrm{C}_3 \mathrm{H}_8 \mathrm{O}_2$, gives a negative test with $\mathrm{HIO}_4$. List all possible structures and show how ir and nmr spectroscopy can distinguish among them. (Note that gem-diols can be disregarded since they are usually not stable.)
There are no degrees of unsaturation and hence no rings or multiple bonds. The O's must be present as $\mathrm{C}-\mathrm{O}-\mathrm{H}$ and/or $\mathrm{C}-\mathrm{O}-\mathrm{C}$. The compound can be a diol, a hydroxyether or a diether. A negative test with $\mathrm{HIO}_4$ rules out a vicdiol. Possible structures are: a diol, ${ }^l \mathrm{HOCH}_2^2 \mathrm{CH}_2^3 \mathrm{CH}_2^2 \mathrm{OH}^l$ (A); two hydroxyethers, ${ }^l \mathrm{HOCH}_2^2 \mathrm{CH}_2^3 \mathrm{OCH}_3^4(\mathrm{~B})$ and ${ }^I \mathrm{HOCH}_2^2 \mathrm{OCH}_2^3 \mathrm{CH}_3^4(\mathrm{C})$; and a diether (an acetal), $\mathrm{CH}_3 \mathrm{OCH}_2 \mathrm{OCH}_3$ (D). (D) is pinpointed by ir; it has no $\mathrm{OH}$, there is no O-H stretch and peaks are not observed at greater than $2950 \mathrm{~cm}^{-1}$. (A) can be differentiated from (B) and (C) by nmr. (A) has only three kinds of equivalent H's, as labeled, while (B) and (C) each have four. In dimethyl sulfoxide, the nmr spectrum of $(\mathrm{C})$ shows all $\mathrm{H}$ peaks to be split: $\mathrm{H}^3$, a quartet, couples $\mathrm{H}^4$, a triplet; $\mathrm{H}^2$, a doublet, couples $\mathrm{H}^I$, a triplet. The nmr spectrum of (B) in DMSO shows a sharp singlet for $\mathrm{H}^4$ integrating for three H's. Other differences may be observed but those described above are sufficient for identification. The DMSO used is deuterated, $\left(\mathrm{CD}_3\right)_2 \mathrm{SO}$, to prevent interference with the spectrum.