How Many Stereoisomers Can Aldoheptose Have?

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SUMMARY

The discussion focuses on the stereoisomer count for various sugars, specifically aldoheptose, 2-ketoheptose, and ketotriose. For 2-ketoheptose, which has 4 asymmetric centers, there are 16 possible stereoisomers calculated as 2^4. Aldoheptose, with 5 asymmetric centers, yields 32 possible stereoisomers, calculated as 2^5. Ketotriose, having no asymmetric centers, results in only 1 stereoisomer, calculated as 2^0. These calculations confirm the principles of stereochemistry in carbohydrate chemistry.

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kasse
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Just to check that I've understood the concept of isomerism:

Homework Statement



How many stereoisomers are possible for

a) a 2-ketoheptose
b) an aldoheptose
c) a ketotriose

2. The attempt at a solution

a) First: does the "2" mean that the carbonyl carbon is the second C-atom?

The molecule has 4 asymmetric centers and hence 2^4 = 16 possible stereoisomers.

b) 5 asymmetric centers, so 2^5 = 32 possible stereoisomers

c) No asymmetric centers, therefore 2^0 = 1 possible stereoisomer


Correct?
 
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Looks OK to me, but second opinion won't hurt.
 

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