TY - JOUR
T1 - Constants of motion in NMR spectroscopy
AU - Walls, Jamie D.
AU - Lin, Yung Ya
N1 - 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).
PY - 2006/2
Y1 - 2006/2
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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U2 - 10.1016/j.ssnmr.2005.09.007
DO - 10.1016/j.ssnmr.2005.09.007
M3 - Article
C2 - 16257517
AN - SCOPUS:29144533010
VL - 29
SP - 22
EP - 29
JO - Solid State Nuclear Magnetic Resonance
JF - Solid State Nuclear Magnetic Resonance
SN - 0926-2040
IS - 1-3
ER -