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A fundamental appears at \( 1700 \ \mathrm{cm^{-1}} \). Its first overtone lies near

  • A.1700 cm-1
  • B.3300 cm-1
  • C.3400 cm-1
  • D.850 cm-1

Answer: B

Anharmonicity puts the overtone a little below twice the fundamental:

\[ \begin{aligned} \tilde{\nu}_{2} &\approx 2 \times 1700 - \Delta \\ &\approx 3300 \ \mathrm{cm^{-1}} \end{aligned} \]

giving about 3300 rather than exactly 3400. The shortfall is typically one or two per cent. That a weak band near twice a strong one is probably its overtone, rather than a new functional group, is worth checking before an unexpected feature is assigned.

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