Principles of Instrumental Analysis
Principles of Instrumental Analysis
7th Edition
ISBN: 9781305577213
Author: Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher: Cengage Learning
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Chapter 19, Problem 19.17QAP
Interpretation Introduction

Interpretation:

The ratio of number of the nuclei in the higher magnetic energy state to the number of lower state of energy of 13C in a 500-MHz instrument at 300 K should be predicted.

Concept introduction:

Nuclear magnetic reasonance is a technique that is used to predict the structural formula of the compound. NMR spectroscopy involves the examination of the nucleus under the external magnetic field.

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We calculated that the resonance frequency of an 1H in the presence of an 11.74 tesla magnet was 500MHz, and we later saw that a 13C nucleus resonantes at approximately 125 MHz in this same magnetic field. What is the resonance frequency of a 19F nucleus in the presence of an 11.74 tesla magnet?
Using the Boltzmann’s law, show that, for a spin-1/2 nucleus at thermal equilibrium at temperature T in a magnetic field Bo, the probabilities of finding it in the a and ß states are: yħBo e kT 1 yhBo 1+е kт Pa ; Pg : yhBo 1+е kT
Classify the 19F nuclei in PF5 into chemically or magnetically equivalent groups. Give your reasoning.
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