Discussion
The X-band EPR spectra of phenyl radical will exhibit.................lines.
Answer: C
The EPR spectrum of the phenyl radical shows 18 lines.
The unpaired electron is in an sp2 σ orbital at the carbon that lost the hydrogen, and it couples to three sets of equivalent protons: the two ortho, the two meta and the one para hydrogen. Each set of n equivalent protons splits every line into n + 1:
\[ \begin{aligned} N &= (2+1)(2+1)(1+1) \\ &= 3 \times 3 \times 2 = 18 \end{aligned} \]
8 would be the count for a radical with three inequivalent protons, and 28 or 3 do not correspond to the proton sets present. The ortho, meta and para coupling constants are all different, so none of the lines coincide.
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