Constants of motion in NMR spectroscopy

Jamie D. Walls; Yung Ya Lin

doi:10.1016/j.ssnmr.2005.09.007

Constants of motion in NMR spectroscopy

Jamie D. Walls, Yung Ya Lin

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We present a general method for constructing a subset of the constants of motion in terms of products of spin operators. These operators are then used to give insight into the multi-spin orders comprising the quasi-equilibrium state formed under a Jeener-Broekaert sequence in small, dipolar-coupled, spin systems. We further show that constants of motion that represent single-quantum coherences are present due to the symmetry of the dipolar Hamiltonian under 180° spin rotations, and that such coherences contribute a DC component to the FID which vanishes in the absence of the flip-flop terms and is only present for spin clusters with an odd number of spins.

Original language	English (US)
Pages (from-to)	22-29
Number of pages	8
Journal	Solid State Nuclear Magnetic Resonance
Volume	29
Issue number	1-3
DOIs	https://doi.org/10.1016/j.ssnmr.2005.09.007
State	Published - Feb 2006
Externally published	Yes

ASJC Scopus subject areas

Radiation
Chemistry(all)
Nuclear and High Energy Physics
Instrumentation

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10.1016/j.ssnmr.2005.09.007

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title = "Constants of motion in NMR spectroscopy",

abstract = "We present a general method for constructing a subset of the constants of motion in terms of products of spin operators. These operators are then used to give insight into the multi-spin orders comprising the quasi-equilibrium state formed under a Jeener-Broekaert sequence in small, dipolar-coupled, spin systems. We further show that constants of motion that represent single-quantum coherences are present due to the symmetry of the dipolar Hamiltonian under 180° spin rotations, and that such coherences contribute a DC component to the FID which vanishes in the absence of the flip-flop terms and is only present for spin clusters with an odd number of spins.",

author = "Walls, {Jamie D.} and Lin, {Yung Ya}",

note = "Funding Information: J. D. W would like to thank Prof. S. E. Barrett for useful discussions and Prof. E. J. Heller for his support. We would like to thank Dr. M. Marjanska and Dr. J. W. Logan for comments about this manuscript. This work was supported by the Camille and Henry Dreyfus Foundation (NF-01-078 and TC-05-053), Research Corporation (RI0781), (NSF CHE-0349362 and CHE-0116853), and donors of the Petroleum Research Fund (ACS-PRF 41355-G6). ",

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doi = "10.1016/j.ssnmr.2005.09.007",

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AU - Lin, Yung Ya

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N2 - We present a general method for constructing a subset of the constants of motion in terms of products of spin operators. These operators are then used to give insight into the multi-spin orders comprising the quasi-equilibrium state formed under a Jeener-Broekaert sequence in small, dipolar-coupled, spin systems. We further show that constants of motion that represent single-quantum coherences are present due to the symmetry of the dipolar Hamiltonian under 180° spin rotations, and that such coherences contribute a DC component to the FID which vanishes in the absence of the flip-flop terms and is only present for spin clusters with an odd number of spins.

AB - We present a general method for constructing a subset of the constants of motion in terms of products of spin operators. These operators are then used to give insight into the multi-spin orders comprising the quasi-equilibrium state formed under a Jeener-Broekaert sequence in small, dipolar-coupled, spin systems. We further show that constants of motion that represent single-quantum coherences are present due to the symmetry of the dipolar Hamiltonian under 180° spin rotations, and that such coherences contribute a DC component to the FID which vanishes in the absence of the flip-flop terms and is only present for spin clusters with an odd number of spins.

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JO - Solid State Nuclear Magnetic Resonance

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SN - 0926-2040

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Constants of motion in NMR spectroscopy

Abstract

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