Vector Precession and Components
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Questions and Answers

What is true about the vector model in NMR?

  • It is a new concept introduced recently
  • It has no relevance in understanding NMR experiments
  • It can be applied to all types of NMR experiments
  • It is limited in its application to only a few situations (correct)

Why is it important to have a good grasp of the vector model in NMR?

  • To apply it to all types of NMR experiments
  • To use as a language for basic NMR experiments
  • To simplify the understanding of complex NMR experiments (correct)
  • To restrict its usage in sophisticated treatments

How is the behavior of the nucleus described in the vector model?

  • As a large energy spectrum
  • As a magnetic field generator
  • As an energy level source
  • As a small bar magnet (correct)

What role does the interaction with an applied magnetic field play in NMR?

<p>It gives rise to the energy levels and ultimately an NMR spectrum (C)</p> Signup and view all the answers

In the rotating frame, what is the apparent Larmor frequency?

<p>Difference between the Larmor frequency and the rotation frequency of the frame (D)</p> Signup and view all the answers

What is the reduced field in the rotating frame?

<p>The difference between the Larmor frequency and the rotation frequency of the frame (B)</p> Signup and view all the answers

What happens when choosing the rotating frame to be at the Larmor frequency?

<p>Both offset and reduced field are zero (A)</p> Signup and view all the answers

What is the effective field in the rotating frame?

<p>Vector sum of the reduced field and the RF field (D)</p> Signup and view all the answers

What is used to describe the orientation of magnetization with respect to the effective field?

<p>Tilt angle (B)</p> Signup and view all the answers

What is a special case where the transmitter frequency is exactly the same as the Larmor frequency?

<p>On-resonance pulse (A)</p> Signup and view all the answers

What type of motion does the magnetization vector execute when tilted away from the z axis?

<p>Precessional motion (C)</p> Signup and view all the answers

What is the name of the net magnetic field along the direction of the applied field at equilibrium?

<p>Bulk magnetization (D)</p> Signup and view all the answers

What induces a current in the coil wound around the x axis?

<p>Precessing magnetization (B)</p> Signup and view all the answers

In an NMR experiment, which component of the magnetization vector is detected by placing a coil along the xy-plane?

<p>X-component (C)</p> Signup and view all the answers

What frequency is the same as the frequency of the line observed in the NMR spectrum?

<p>Larmor frequency (A)</p> Signup and view all the answers

What term describes the angle the magnetization vector makes with the x axis after a certain time?

<p>Larmor angle (B)</p> Signup and view all the answers

What represents the net magnetization and points along the direction of the applied field (z axis)?

<p>Bulk magnetization (A)</p> Signup and view all the answers

What is the term for the motion of the magnetization vector when it is tilted away from the z axis?

<p>Precessional motion (D)</p> Signup and view all the answers

What happens to the net magnetic field at equilibrium if there is no alignment of magnetic moments?

<p>It becomes zero (A)</p> Signup and view all the answers

What happens to the net magnetization at equilibrium if there is no alignment of magnetic moments?

<p>It becomes zero (A)</p> Signup and view all the answers

What is responsible for inducing a current in a coil wound around the x axis?

<p>Precessional motion (C)</p> Signup and view all the answers

What can be used to rotate the magnetization away from its equilibrium position in the presence of a strong magnetic field?

<p>Radiofrequency field (B)</p> Signup and view all the answers

What is the angle of precession denoted by in the text?

<p>ω0t (D)</p> Signup and view all the answers

What is used to replace the magnetic field along the z-axis with one in the xy-plane to bring the magnetization down from the z-axis?

<p>Resonance (B)</p> Signup and view all the answers

What concept is used to apply a small oscillating magnetic field along the x-axis at or near the Larmor frequency?

<p>Resonance (A)</p> Signup and view all the answers

What is used to produce the oscillating magnetic field that can rotate the magnetization, even in the presence of a strong applied field?

<p>Radiofrequency field (B)</p> Signup and view all the answers

Which fields add up to give a linearly oscillating field along the x-axis according to the text?

<p>B+1 and B−1 (A)</p> Signup and view all the answers

What happens to the x-component as the angle of rotation approaches 12π radians (90°)?

<p>It shrinks towards zero (B)</p> Signup and view all the answers

What is significant in the interaction between the magnetization and the rotating field in the same direction of rotation according to the text?

<p>B+1 (B)</p> Signup and view all the answers

What is the angle by which the magnetization vector is rotated during an RF pulse?

<p>ω1 tp (C)</p> Signup and view all the answers

What is the common flip angle used in NMR experiments?

<p>Ï€ (D)</p> Signup and view all the answers

Which plane does the magnetization vector precess during an on-resonance 90° pulse?

<p>xy-plane (A)</p> Signup and view all the answers

What is the term used for pulses where the RF field is much larger than the reduced field, effectively placing all resonances on-resonance?

<p>Hard pulses (B)</p> Signup and view all the answers

In which frame does the signal appear to oscillate at the offset frequency Ω instead of the Larmor frequency?

<p>Rotating frame (B)</p> Signup and view all the answers

How many periods does the simplest NMR experiment, known as pulse-acquire, consist of?

<p>Three periods (C)</p> Signup and view all the answers

What happens to the equilibrium magnetization during a 90° pulse?

<p>It rotates onto the y-axis (A)</p> Signup and view all the answers

During which period does the magnetization precess in the transverse plane at the offset frequency Ω?

<p>Signal detection period (C)</p> Signup and view all the answers

What is the simplest NMR experiment known as?

<p>Pulse-acquire (B)</p> Signup and view all the answers

What axis does a 90° pulse rotate equilibrium magnetization onto?

<p>y axis (B)</p> Signup and view all the answers

At what frequency does the signal appear to oscillate in the rotating frame?

<p>Offset frequency Ω (B)</p> Signup and view all the answers

What is the term used for pulses where all resonances are placed on-resonance?

<p>Hard pulses (C)</p> Signup and view all the answers

Study Notes

  • The magnetization vector in NMR precesses about the applied magnetic field, rotating in the zy-plane with frequency ω1.
  • During an RF pulse of duration tp, the magnetization vector is rotated by an angle β = ω1 tp, also called the flip angle.
  • Commonly used flip angles are Ï€/2 (90°) and Ï€ (180°).
  • A "grapefruit" diagram illustrates the magnetization vector's motion during on-resonance 90° and 180° pulses.
  • Hard pulses, where the RF field is much larger than the reduced field, effectively place all resonances on-resonance.
  • The signal detected in NMR experiments is in the rotating frame, where it appears to oscillate at the offset frequency Ω instead of the Larmor frequency.
  • The simplest NMR experiment, known as pulse-acquire, consists of three periods: equilibrium, RF pulse application, and signal detection.
  • During the equilibrium period, magnetization builds up along the z-axis.
  • A 90° pulse rotates this equilibrium magnetization onto the -y axis.
  • During the signal detection period, the magnetization precesses in the transverse plane at the offset frequency Ω.
  • Simple geometry helps deduce how the x- and y-magnetizations vary with time.

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NMR Vector Model PDF

Description

This quiz explores the precession of a vector and the calculation of its x and y components using simple geometry. It covers how the x-component is proportional to cosine and the y-component is negative and proportional to sine.

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