Numerical answer
The compound hepta-2,5-dien-4-ol, , can exist in several stereoisomeric forms because of its two double bonds and its carbinol carbon. If is the total number of stereoisomers and is the number of those that are optically active, the value of is ____.
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Answer: 6
Each double bond can be or , giving combinations , and (the last equals by symmetry of the constitution). In and the two groups on are identical, so is not a stereocentre and each is a single achiral compound with a mirror plane through : stereoisomers, both optically inactive. In the two alkenyl groups on are different (-propenyl versus -propenyl), so carries four different groups (, , and two diastereomeric alkenyl groups) and is a stereocentre; this gives a pair of enantiomers, stereoisomers, both optically active. Thus , , and .
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