Question: To gain some appreciation for the numerical work done by computers interfaced to NMR spectrometers, perform the following calculations. (a) The total FID F(t) of

To gain some appreciation for the numerical work done by computers interfaced to NMR spectrometers, perform the following calculations.

(a) The total FID F(t) of a signal containing many frequencies, each corresponding to a different nucleus, is given by

F(t)=So; cos(27v;t)e-/Tj

where, for each nucleus j, S_0j is the maximum intensity of the signal, ν_Lj is the Larmor frequency, and T_2jis the spin–spin relaxation time. Plot the FID for the case

(b) Explore how the shape of the FID curve changes with changes in the Larmor frequency and the spin–spin relaxation time.

(c) Use mathematical software to calculate and plot the Fourier transforms of the FID curves you calculated in parts (a) and (b). How do spectral linewidths vary with the value of T₂?

F(t)=So; cos(27v;t)e-/Tj

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The total FID Ft for a signal containing many frequencies can be calculated using the formula Ft S... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physical Chemistry Questions!

Complete this question by entering your answers in the tabs below. Required 1Required 2Required 3 Required 4 You have estimated that your educational expenses over the next four years will be $14,900...

Use mathematical software to calculate P in a one-dimensional random walk, and evaluate the probability of being at x = n for n = 6, 10, 14, . . . , 60. Compare the numerical value with the...

How many 1H NMR signals would you expect from each of the following compounds? (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) (m) (n) (o) (p) OH CI

In some cases, numerical investigations can be misleading. Plot f (x) = cos /x. (b) Show, by evaluating f (x) at x = 1/2 ,1/4 ,1/6 , . . . , that you might be able to trick your friends into...

Guidelines for the Methods and Results paper Below are the step-by-step instructions for completing the paper due in Lesson 12. Follow these steps, and use the knowledge you've gained this semester...

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

PLEASE ANSWER THESE QUESTIONS DONT COPY FROM INTERNET SOURCE PLEASE IT SHOWS PLAG c)What KEY FACTORS may determine the success for Gap Inc.? Explain THREE in your answer. d)Recommendations Make...

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Why is a bioreactor better than a large flask for industrial production of an antibiotic?

An invoice is dated May 26 and has terms of 2/10, n/25. The total bill is $826.44, with $108.12 of returned merchandise and $67.37 of freight. a. Calculate discount date, due date, cash discount and...

Structured debt instruments are designed to: Group of answer choices All of the them Provide tax advantages to the issuer Increase the risk of financial distress Link payments to a variable that is...

Identify the four parts of the model for writing objectives.

Conservation of energy requires that the variation of the potential and kinetic energies with the oscillator extension be exactly out of phase. Explain this statement.

What is the degeneracy of the energy levels for the rigid rotor in two dimensions? If it is not 1, explain why.

For a two-dimensional harmonic oscillator, V (x, y) = k x x 2 + k y y 2 Write an expression for the energy levels of such an oscillator in terms of k x and k y .

Myers Drugs Inc. has 2 million shares of stock outstanding. Earnings after taxes are $8 million. Myers also has warrants outstanding that allow the holder to buy 100,000 shares of stock at $15 per...

QUESTION 3 Ymdesete need of cash and turn to your uncle who has offered to Yond your money you decide to BTO 51400 androy back 51.637 in 2 years Aitonatively, you could borrow from your bar that...

Victoria Enterprises expects earnings before interest and taxes (EBIT) next year of $1.7 million. Its depreciation and capital expenditures will both be $289,000, and it expects its capital...