Chapter 14, Problem 54PP

Interpretation Introduction

Interpretation: The structure for the given compound with molecular formula ${\text{C}}_{\text{4}}{\text{H}}_{\text{8}}\text{O}$ producing signal at 1720 ${\text{cm}}^{\text{-1}}$ in IR spectrum should be determined.

Concept Introduction:

IR spectral studies: It is a spectroscopic technique which is used to determine the functional groups present in the given compound sample by absorbing frequency in particular range with respect to the group present in the given sample.

Wavenumber: It is defined as the number of waves in one centimeter. The wavenumber indicates the location of each signal with respect to the functional group in the molecule and its unit is ${\text{cm}}^{\text{-1}}$.

Molecular formula: It represents the types of atoms with their total number present in a given molecule.

The Hydrogen Deficiency Index (HDI): It is used to measure the number of degrees of unsaturation (double and triple bonds) present in a given molecule. It is determined by using the formula

$\begin{array}{l}\text{HDI}\text{=}\frac{\text{1}}{\text{2}}\text{[(2}\times \text{No}\text{. of Carbon atoms)+2+(No}\text{. of Nitrogen atoms)}\\ \text{-(No}\text{. of Hydrogen atoms)-(No}\text{. of halogens)]}\end{array}$

To identify: The molecular structure for the given compound with formula ${\text{C}}_{\text{4}}{\text{H}}_{\text{8}}\text{O}$.