Spin Behavior in the Rotating Reference Frame

Yu‐Chung Norman Cheng1, E. Mark Haacke1

1 The MRI Institute for Biomedical Research, St. Louis, Missouri
Publication Name:  Current Protocols in Magnetic Resonance Imaging
Unit Number:  Unit B1.2
DOI:  10.1002/0471142719.mib0102s01
Online Posting Date:  August, 2001
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Abstract

At any given point in time, the interaction of a classical magnetic moment with an external magnetic field is equivalent to an instantaneous rotation of the moment about the field. For a static field, the rotation is a constant precession about the field itself. This unit discusses the effect of adding a radiofrequency (RF) field perpendicular to a much larger constant field. The interest in the additional field stems from the need to generate a transverse component of the magnetization.

     
 
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Table of Contents

  • Overview
  • Technical Discussion
  • Key References
  • Figures
     
 
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Materials

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Figures

Videos

Literature Cited

Key References
   Goldstein, H. 1980. Classical Mechanics. Addison‐Wesley, Reading, Mass.
  This text reviews fundamental physics of classical mechanics.
   Haacke, E.M., Brown, R.W., Thompson, M.R., and Venkatesan, R. 1999. Magnetic Resonance Imaging: Physical Principles and Sequence Design. John Wiley & Sons, New York.
  This text covers the technical aspects presented here, but in more detail, and also discusses more advanced materials.
   Rabi, I.I., Ramsey, N.F., and Schwinger, J. 1954. Rotating coordinates in magnetic resonance problems. Rev. Modern Phys. 26:167.
  This article presents an outstanding discussion of NMR in rotating reference frames.
   Slichter, C.P. 1990. Principles of Magnetic Resonance, 3rd ed. Springer‐Verlag, New York.
  This text reviews the relevant general concepts of rotation and precession in classical mechanics and NMR.
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