Swept-frequency pulses have found use in a variety of fields, including spectroscopic methods where effective spin control is necessary.
To find more, we have to study about the spectroscopic methods.
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What is homonuclear decoupling and broadband excitation?</h3>
- A thorough understanding of the evolution of spin systems during these pulses is crucial for many of these applications since it not only helps to describe how procedures work but also makes new methodologies possible.
- Broadband inversion, refocusing, and excitation employing these pulses are some of the most popular applications in NMR, ESR, MRI, and in vivo MRS in magnetic resonance spectroscopy.
- A generic expression for chirped pulses will be presented in this study, along with numerical methods for calculating the spin dynamics during chirped pulses using solutions along with extensive examples.
Thus, we can conclude that, the swept-frequency pulses have found use in a variety of fields, including spectroscopic methods where effective spin control is necessary.
Learn more about the broadband excitation here:
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Answer:
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If Voq doubles, abN gets multiplied by 16 .
If Voq=3, abN=81 .
Answer:
and 
Explanation:
Hi! Since the notation is a little bit messed up, I am going to suppose that
--- (1)
and :
--- (2)
Here we are going to use a trigonometric identity of the sine of the sum of two angles, namely:
--- (3)
Lets set:

So now (2) becomes:
--- (4)
Now (1) and (4) must be equal, and in particular we must have the following identities:
--- (5)
If we square these two identities and sum them we got:

And since:

We got the first solution:

For the second part we must divide the identies (5)
We got:

And since:

We use the inverse of the tan function:

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