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ChemInform Abstract: Rotations in NMR. Part 1. Euler-Rodrigues Parameters and Quaternions

โœ Scribed by D. J. SIMINOVITCH

Publisher
John Wiley and Sons
Year
2010
Weight
24 KB
Volume
28
Category
Article
ISSN
0931-7597

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๐Ÿ“œ SIMILAR VOLUMES

Rotations in NMR: Part I. Euler-Rodrigue
Rotations in NMR: Part I. Euler-Rodrigues parameters and quaternions
โœ Siminovitch, David J. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 302 KB

From both the classical and the quantum-mechanical point of view, the description of rotations in NMR is essential for explaining the response of spin systems to radio frequency pulses. Of the many methods used for this description, quaternionic formalisms offer unique advantages. Quaternions are de

Rotations in NMR: Part II. Applications
Rotations in NMR: Part II. Applications of the Euler-Rodrigues parameters
โœ Siminovitch, David J. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 249 KB

A quantum-mechanical context is used to discuss the advantages offered ( ) by a Euler แŽ Rodrigues ER parameterization of the rotation implicit in the propagators of 1 1 spin-and spin-1 systems. To appreciate these advantages, we begin with a spin-2 2 { } { } propagator, using either a rotation angl