Theoretical aspects of higher-order truncations in solid-state nuclear magnetic resonance

Journal Article · Tue Dec 15 00:00:00 EST 1992 · Journal of Chemical Physics; (United States)

DOI:https://doi.org/10.1063/1.463321· OSTI ID:7028777

Goldman, M ^[1]; Grandinetti, P J; Llor, A; Olejniczak, Z; Sachleben, J R ^[2]; Zwanziger, J W ^[3]

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1. Direction des Sciences de la Matiere DRECAM/SPEC, Commissariat a l'Energie Atomique, Saclay, 91191 Gif-sur-Yvette Cedex (France)
2. Materials Sciences Division, Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States) Department of Chemistry, University of California, Berkeley, California 94720 (United States)
3. Department of Chemistry, Indiana University, Bloomington, Indiana 47405 (United States)

Recent experimental developments of high-resolution NMR in solids (for example, double rotation and dynamic-angle spinning) address the reduction of second-order line broadening effects, particularly in systems involving quadrupolar nuclei such as {sup 23}Na, {sup 17}O, {sup 27}Al, and {sup 14}N. However, some aspects of the theoretical description of these systems have not been clearly understood; in particular, the various procedures available to truncate the interactions give incompatible results. We present a general framework, based on static perturbative methods, which provides a natural procedure to derive the correct Hamiltonian for higher-order effects in irreducible tensor form. Applications of this method to coherent averaging techniques (sample motion or radio-frequency irradiation) are described and compared to previous treatments based on average Hamiltonian theory.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 7028777
• Journal Information: Journal of Chemical Physics; (United States), Vol. 97:12; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SOLIDS
NUCLEAR MAGNETIC RESONANCE
ALUMINIUM 27
CHEMISTRY
HAMILTONIANS
LINE BROADENING
NITROGEN 14
OXYGEN 17
PERTURBATION THEORY
QUADRUPOLES
SODIUM 23
ALKALI METAL ISOTOPES
ALUMINIUM ISOTOPES
EVEN-ODD NUCLEI
ISOTOPES
LIGHT NUCLEI
MAGNETIC RESONANCE
MATHEMATICAL OPERATORS
MULTIPOLES
NITROGEN ISOTOPES
NUCLEI
ODD-EVEN NUCLEI
ODD-ODD NUCLEI
OXYGEN ISOTOPES
QUANTUM OPERATORS
RESONANCE
SODIUM ISOTOPES
STABLE ISOTOPES
665100* - Nuclear Techniques in Condensed Matter Physics - (1992-)