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Quadrupolar Powder PatternThe observed NMR spectrum of a solid powder (no MAS, no molecular motion) is the summed signal from crystallites over all possible orientations relative to the applied field Bo. For a single spin dominated by its quadrupolar interaction (relative to J's, shift anisotropy, dipolar interactions) one would in principle observe a quadrupolar powder pattern as shown below. By changing the orientation relative to Bo (set to point along +z) one can visualize how an individual crystallite contributes to the powder pattern. The vertical lines above represent the transitions at a particular orientation. All orientations contribute to the observed powder spectrum. Note what happens at the "magic angle", where q=54.7 when the asymmetry h=0. Also note how rotations about the +z axis affect the spectrum when the asymmetry is zero. BACK TO ELECTRICITY & MAGNETISM TUTORIALS Questions or comments? Send us an email.© 1995-2022 by Michael W. Davidson and The Florida State University. All Rights Reserved. No images, graphics, software, scripts, or applets may be reproduced or used in any manner without permission from the copyright holders. Use of this website means you agree to all of the Legal Terms and Conditions set forth by the owners.
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