Isomerism and StereochemistryhardNUMERICAL

In a standard even-cumulene system possessing exactly two adjacent pi bonds (an allene framework), wIsomerism and Stereochemistry Chemistry Question

Question

In a standard even-cumulene system possessing exactly two adjacent pi bonds (an allene framework), what is the calculated dihedral angle (in degrees) physically established between the two planes containing the respective terminal valencies?

Answer: 90

💡 Solution & Explanation

In an allene (even cumulene) system, the central $sp$ hybridized carbon forms two mutually perpendicular pi bonds using its two unhybridized p-orbitals. Consequently, the groups attached to the terminal $sp^2$ hybridized carbons are geometrically locked in mutually perpendicular planes. The dihedral angle spanning between these orthogonal terminal planes is $90^\circ$.

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