Calculate the total number of distinct geometrical isomers possible for the symmetrical polyene chai β Isomerism and Stereochemistry Chemistry Question
Question
Calculate the total number of distinct geometrical isomers possible for the symmetrical polyene chain: $CH_3-CH=CH-CH=CH-CH_3$.
Answer: 3
π‘ Solution & Explanation
The molecule is symmetrical (the structural ends are identical) and contains an even number of stereogenic double bonds ($n=2$). The standard mathematical formula for total geometrical isomers in a symmetrical even system is $2^{(n-1)} + 2^{(n/2 - 1)}$. Substituting $n=2$: $2^{(2-1)} + 2^{(2/2 - 1)} = 2^1 + 2^0 = 2 + 1 = 3$.
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