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Question 21.3: Converting Fisher Projections to Cyclic Hemiacetals The open......

Converting Fisher Projections to Cyclic Hemiacetals

The open-chain form of D-altrose, an aldohexose isomer of glucose, has the following structure. Draw D-altrose in its cyclic hemiacetal form:

\begin{matrix}      \underset{\mid}{H}        \underset{\mid}{H}           \underset{\mid}{H}       \underset{\mid}{H}        \underset{\mid}{O}H  \underset{\mid\mid}{O}\\ HO — C —  C  —  C  — C — C — C — H\\   \overset{\mid}{H}        \overset{\mid}{O}H     \overset{\mid}{O}H  \overset{\mid}{O}H  \overset{\mid}{H}             \end{matrix}

D-Altrose

Step-by-Step
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First, coil D-altrose into a circular shape by mentally grasping the end farthest from the carbonyl group and bending it backward into the plane of the paper:

\begin{matrix}      \underset{\mid}{H}        \underset{\mid}{H}           \underset{\mid}{H}       \underset{\mid}{H}        \underset{\mid}{O}H  \underset{\mid\mid}{O}\\ HO — \underset{6\mid}{C} —  \underset{5\mid}{C} —  \underset{4\mid}{C} — \underset{3\mid}{C} — \underset{2\mid}{C} — \underset{1}{C} — H\\   H        OH     OH  OH  H             \\ \\ \\ \end{matrix}       \begin{matrix}\xrightarrow[]{Coil  up}\\ \\ \end{matrix}   

Next, rotate the bottom of the structure around the single bond between C4 and C5 so that the —CH_2OH group at the end of the chain points up and the —OH group on C5 points toward the aldehyde carbonyl group on the right:

    \begin{matrix} \xrightarrow[]{Rotate}\\ \\ \\ \end{matrix}   

Finally, add the —OH group at C5 to the carbonyl C\xlongequal[]{}O to form a hemiacetal ring. The new —OH group formed on C1 can be either up (β) or down (α):

     \begin{matrix}\rightleftarrows\\ \\ \\ \\  \end{matrix} 

 β                              α

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