Here are the essential concepts you must grasp in order to answer the question correctly.
Stereoisomerism
Stereoisomerism refers to the phenomenon where compounds have the same molecular formula and connectivity of atoms but differ in the spatial arrangement of their atoms. This can lead to different physical and chemical properties. In carbohydrates, stereoisomers arise due to the presence of chiral centers, which are carbon atoms bonded to four different groups.
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Determining when molecules are stereoisomers.
Chirality and Chiral Centers
Chirality is a property of a molecule that makes it non-superimposable on its mirror image, much like left and right hands. In sugars, chiral centers are typically carbon atoms that have four different substituents. The number of chiral centers in a molecule directly influences the number of possible stereoisomers, as each chiral center can exist in two configurations (R or S).
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Counting Stereoisomers
The total number of stereoisomers for a compound can be calculated using the formula 2^n, where n is the number of chiral centers. For an aldoheptose, which has four chiral centers, the calculation would yield 2^4 = 16 possible stereoisomers. This formula highlights the exponential increase in stereoisomer count with the addition of more chiral centers.
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