Book cover for Organic chemistry with biological applications

Organic chemistry with biological applications

John E. McMurry

ISBN #9781285842912

3rd Edition

1,528 Questions

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Example Problems

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Summary

Nuclear Magnetic Resonance (NMR) Spectroscopy is an essential tool in organic chemistry for determining molecular structure by analyzing how nuclei (primarily 1H and 13C) behave in an external magnetic field. Key components of NMR analysis include chemical shifts, integration, and spin–spin splitting which together provide insight into the chemical environment and connectivity of atoms. Techniques such as FT-NMR and DEPT enhance sensitivity and help distinguish among types of carbon atoms. The same principles behind NMR spectroscopy also underlie advanced technologies such as MRI, which has profound implications in medical diagnostics.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

Definition: The study of molecular reactivity via polar covalent bonds where differences in electronegativity create dipole moments, guiding acid–base behavior.

The study of molecular reactivity via polar covalent bonds where differences in electronegativity create dipole moments, guiding acid–base behavior. •

Example Problems

Example 1

The amount of energy required to spin-flip a nucleus depends both on the strength of the external magnetic field and on the nucleus. At a field strength of $4.7 \mathrm{~T}, \mathrm{rf}$ energy of $200 \mathrm{MHz}$ is required to bring a ${ }^{1} \mathrm{H}$ nucleus into resonance but energy of only $187 \mathrm{MHz}$ will bring a $19 \mathrm{~F}$ nucleus into resonance. Calculate the amount of energy required to spin-flip a ${ }^{19} \mathrm{~F}$ nucleus. Is this amount greater or less than that required to spin-flip a ${ }^{1} \mathrm{H}$ nucleus?

Example 2

Calculate the amount of energy required to spin-flip a proton in a spectrometer operating at $300 \mathrm{MHz}$. Does increasing the spectrometer frequency from 200 to $300 \mathrm{MHz}$ increase or decrease the amount of energy necessary for resonance?

Example 3

2-Chloropropene shows signals for three kinds of protons in its ${ }^{1} \mathrm{H}$ NMR spectrum. Explain.

Example 4

The following "H NMR peaks were recorded on a spectrometer operating at $200 \mathrm{MHz}$. Convert each into $\delta$ units. (a) $\mathrm{CHCl}_{3} ; 1454 \mathrm{~Hz}$ (b) $\mathrm{CH}_{3} \mathrm{Cl} ; 610 \mathrm{~Hz}$ (c) $\mathrm{CH}_{2} \mathrm{OH}$ : $693 \mathrm{H}$ (d) $\mathrm{CH}_{2} \mathrm{Cl}_{2}: 1060 \mathrm{H}_{7}$

Example 5

When the ${ }^{1} \mathrm{H}$ NMR spectrum of acetone, $\mathrm{CH}_{3} \mathrm{COCH}_{3},$ is recorded on an instrument operating at $200 \mathrm{MHz}$, a single sharp resonance at $2.1 \delta$ is seen. (a) How many hertz downfield from TMS does the acetone resonance correspond to? (b) If the 1 H NMR spectrum of acetone were recorded at $500 \mathrm{MHz}$, what would the position of the absorption be in $\delta$ units? (c) How many hertz downfield from TMS does this 500 MHz resonance correspond to?

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