D-Xylose in aqueous solution exists in the pyranose form as a mixture of α and β anomers. Furanose and acyclic forms are present in negligible amounts and can be ignored.   A sample of pure α-D-xylopyranose is dissolved in pure neutral water. The optical rotation is then measured immediately using a polarimeter. The specific rotation [??]?? is +93.6°.   The optical rotation is then observed to decrease with the passage of time, and the solution is allowed to reach equilibrium. Eventually the specific rotation stabilises at [??]?? = +18.8°. The anomeric ratio at equilibrium a : β is 37 : 63. A sample of pure β-D-xylopyranose is not available. Using this information, predict the specific rotation of pure β-D-xylopyranose. Show how the a and β anomers equilibrate using a mechanism, assuming the presence of a trace amount of base as catalyst.

Organic Chemistry
9th Edition
ISBN:9781305080485
Author:John E. McMurry
Publisher:John E. McMurry
Chapter11: Reactions Of Alkyl Halides: Nucleophilic Substitutions And Eliminations
Section11.SE: Something Extra
Problem 79AP
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D-Xylose in aqueous solution exists in the pyranose form as a mixture of α and β anomers. Furanose and acyclic forms are present in negligible amounts and can be ignored.  

A sample of pure α-D-xylopyranose is dissolved in pure neutral water. The optical rotation is then measured immediately using a polarimeter. The specific rotation [??]?? is +93.6°.  

The optical rotation is then observed to decrease with the passage of time, and the solution is allowed to reach equilibrium. Eventually the specific rotation stabilises at [??]?? = +18.8°. The anomeric ratio at equilibrium a : β is 37 : 63. A sample of pure β-D-xylopyranose is not available.

Using this information, predict the specific rotation of pure β-D-xylopyranose. Show how the a and β anomers equilibrate using a mechanism, assuming the presence of a trace amount of base as catalyst. 

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