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
Question
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Chapter 19, Problem 19.7QAP
Interpretation Introduction

(a)

Interpretation:

The absorption frequency of 1H in a 11.7-T magnetic field 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.

Expert Solution
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Answer to Problem 19.7QAP

The absorption frequency of 1H in a 11.7-T magnetic field is 499 MHz.

Explanation of Solution

The absorption frequency is calculated by the formula:

v0=γB02π

Where,

  • B0 is the magnetic field.
  • γ is the magnetogyric ratio.

The magnetogyric ratio for 1H is 2.68×108T1s1. The magnetic field is given as 11.7 T.

Substitute magnetogyric ratio and magnetic field in above expression.

v0=2.68×108T1s1×11.7T2×3.14=31.356×1086.28s1=4.99×108s1=499×106Hz×(1MHz106Hz)=499MHz

Therefore, the absorption frequency of 1H in a 11.7-T magnetic field is 499 MHz.

Interpretation Introduction

(b)

Interpretation:

The absorption frequency of 13C in a 11.7-T magnetic field 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.

Expert Solution
Check Mark

Answer to Problem 19.7QAP

The absorption frequency of 13C in a 11.7-T magnetic field is 125 MHz.

Explanation of Solution

The absorption frequency is calculated by the formula,

v0=γB02π

Where,

  • B0 is the magnetic field.
  • γ is the magnetogyric ratio.

The magnetogyric ratio for 13C is taken as 6.72×107T1s1.

The magnetic field is given as 11.7 T.

Substitute magnetogyric ratio and magnetic field in above expression.

v0=6.72×107T1s1×11.7T2×3.14=78.624×1076.28s1=12.5×107s1=125×106Hz×(1MHz106Hz)=125MHz

Therefore, the absorption frequency of 13C in a 11.7-T magnetic field is 125 MHz.

Interpretation Introduction

(c)

Interpretation:

The absorption frequency of 19F in a 11.7-T magnetic field 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.

Expert Solution
Check Mark

Answer to Problem 19.7QAP

The absorption frequency of 19F in a 11.7-T magnetic field is 469 MHz.

Explanation of Solution

The absorption frequency is calculated by the formula,

v0=γB02π

Where,

  • B0 is the magnetic field.
  • γ is the magnetogyric ratio.

The magnetogyric ratio for 19F is taken as 2.52×108T1s1.

The magnetic field is given as 11.7 T.

Substitute magnetogyric ratio and magnetic field in above expression.

v0=2.52×108T1s1×11.7T2×3.14=29.484×1086.28s1=4.69×108s1=469×106Hz×(1MHz106Hz)=469MHz

Therefore, the absorption frequency of 19F in a 11.7-T magnetic field is 469 MHz.

Interpretation Introduction

(d)

Interpretation:

The absorption frequency of 31P in a 11.7-T magnetic field 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.

Expert Solution
Check Mark

Answer to Problem 19.7QAP

The absorption frequency of 31P in a 11.7-T magnetic field is 201 MHz.

Explanation of Solution

The absorption frequency is calculated by the formula,

v0=γB02π

Where,

  • B0 is the magnetic field.
  • γ is the magnetogyric ratio.

The magnetogyric ratio for 31P is taken as 1.08×108T1s1.

The magnetic field is given as 11.7 T.

Substitute magnetogyric ratio and magnetic field in above expression.

v0=1.08×108T1s1×11.7T2×3.14=12.636×1086.28s1=2.01×108s1=201×106Hz×(1MHz106Hz)=201MHz

Therefore, the absorption frequency of 31P in a 11.7-T magnetic field is 201 MHz.

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Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning