NMR 5 Flashcards

(29 cards)

1
Q

What is T_1-relaxation?

A

It is the developement of magnetization back to its equlibrium.

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2
Q

What is the formula for T_1-relaxation/longitudinal relaxation (difference in magnetization from the equlibrium is going to decay exponentially)?

A

M_z−M_0=e^(−(t/T_1))
T_1=relaxation time

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3
Q

What happens when the relaxation gets slower?

A

When T₁ relaxation is slower (i.e., T₁ is longer), it takes more time for the net magnetization to return to equilibrium along the z-axis after excitation. This means signal recovery is slower, which affects how quickly you can repeat scans and may reduce signal intensity in fast experiments.

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4
Q

Describe the inversion-recovery

A

Inversion-recovery is a pulse sequence used to measure T₁ relaxation times. It starts with a 180° pulse to invert the magnetization, followed by a variable delay time (τ), and then a 90° pulse to detect how much magnetization has recovered along the z-axis. By changing τ and recording the signal, a T₁ relaxation curve can be created.

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5
Q

How can T_1 be interpret from a spectrum?

A

when tau is plottet against the intensity, it is possible to interpret T_1 from the linarization:
I(τ)=1−2∗e^(−τ/T_1 )

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6
Q

What is the formula for the longitudinal relaxation rate?

A

R(1)=1/T_1

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7
Q

Select all correct statements from below!
T1 relaxation affects only z-magnetization.

T1 relaxation leads to a loss of measurable magnetization.

T1 relaxation affects both x,y and z-magnetization.

T1 relaxation leads to a re-establishment of equilibrium magnetization.

too fast T1 relaxation causes problems for NMR spectroscopy

too slow T1 relaxation causes problems for NMR spectroscopy

A

T1 relaxation leads to a loss of measurable magnetization.

T1 relaxation affects both x,y and z-magnetization.

T1 relaxation leads to a re-establishment of equilibrium magnetization.

too fast T1 relaxation causes problems for NMR spectroscopy

too slow T1 relaxation causes problems for NMR spectroscopy

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8
Q

After running an inversion-recovery sequence on your sample, you obtain the following intensity values depending on the delay τ:

τ [s]…..intensity [a.u.]

0.1…….-0.753

0.2…….-0.623

0.5…….-0.162

1.0……..0.456

2.0……..0.767

5.0……..1.160

10.0…….1.002

  1. Which quantity is determined by the Inversion-Recovery Sequence?
    T1, T2 or NOE
A

T1

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9
Q

After running an inversion-recovery sequence on your sample, you obtain the following intensity values depending on the delay τ:

τ [s]…..intensity [a.u.]

0.1…….-0.753

0.2…….-0.623

0.5…….-0.162

1.0……..0.456

2.0……..0.767

5.0……..1.160

10.0…….1.002

  1. Which T_1 quantity is determined by the Inversion-Recovery Sequence?
A

0.85

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10
Q

What is T_2-relaxation (transverse/ spin-spin- relaxation)

A

T₂-relaxation describes the loss of coherence among nuclear spins in the xy-plane, which leads to a decay of the observed NMR signal over time.

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11
Q

Why is T_2-relaxation annoying?

A

Because it kills your signal and it will not reach equilibrium the same as T_1- relaxation.

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12
Q

What is the formula for T_2-relaxation?

A

M_xy (t)=e^(−t/T_2 )

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13
Q

What is the formula for transverse relaxation rate?

A

R_2 [s^(−1) ]=1/T_2

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14
Q

Why is it difficult to work with bigger molecules in NMR?

A

Because the larger molecules relax faster, especially via T2-relaxation leading to broader peaks and lower signal resolution.

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15
Q

Choose all terms of magnetization that are affected by T2 relaxation
Ix
-Iz
2IxSz
2IxSy

A

Ix
2IxSz
2IxSy

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16
Q

You are running a CPMG experiment with n repetitions of a spin-echo.

Each spin echo consists of a delay τ=6 ms, followed by a 180 degree pulse of 24 µs, followed by a delay τ=6 ms.

Depending on the number of repetitions (n) of the spin-echo, you get the following intensities:

n……….intensity

1……….0.96

2……….0.95

4……….1.01

8……….0.82

16………0.53

32………0.36

64………0.08

128……..0.01

What is the value of T2 for this atom?

17
Q

What is molecular mobility?

A

It is expressed as correlation tome τ_c [s]. τ_c is defined as the time it takes an intramolecuar vector to reorient by 1 rad (57.3°) on average. The higher the mobilty, the shorter τ_c.

18
Q

A small value for a correlation time means that the underlying molecular motion is….
slow or fast

19
Q

If both T1 and T2 relaxation of a hydrogen atom are slow, it belongs to a …
- large molecule (more than 2 kDa)
- small molecule (less than 1 kDa)

A

small molecule (less than 1 kDa)

20
Q

If the values of both time constants T1 and T2 are large for a hydrogen atom, it belongs to a …
- large molecule (more than 2 kDa)
- small molecule (less than 1 kDa)

A

small molecule (less than 1 kDa)

21
Q

Proteins have:
fast T2 and slow T1
fast T1 and slow T2
slow T2 and slow T1
fast T2 and fast T1

A

fast T2 and slow T1

22
Q

What is the nuclear overhauser effect (NOE)?

A

The NOE is an NMR phenomenon where the intensity of one nucleus’s signal is affected by the relaxation of a nearby nucleus, due to dipole–dipole interactions.

23
Q

What does NOE describe?

A

The observation that the signal of one nucleus changes its intensity if a nearby nucleus is saturated.

24
Q

What is the formula for NOE?

A

η=I/I_0 −1

25
What is a criteria for cross-relaxation between two spins in NOE?
The two spins should be dipolar coupled, which in turn means they must be close in space.
26
A nucleus I is experiencing a 8% decrease in intensity upon saturation of nucleus S. What is the numerical value of the NOE (η)
-0.08
27
Assuming that both I and S are hydrogen atoms, what can you say about the correlation time τc ? τc is much smaller than 1/ω0 τc is approximately 1/ω0 τc is much bigger than 1/ω0
τc is approximately 1/ω0
28
What is the maximum NOE ( η at very small τc) for a pair of nuclei where one is 1H and the other is 19F? In the case of {1H}19F ?
0.53
29
What is the maximum NOE ( η at very small τc) for a pair of nuclei where one is 1H and the other is 19F? In the case of {19F}1H?
0.47