# Site-resolved multiple-quantum filtered correlations and distance measurements by magic-angle spinning NMR: Theory and applications to spins with weak to vanishing quadrupolar couplings

## Abstract

We discuss and analyze four magic-angle spinning solid-state NMR methods that can be used to measure internuclear distances and to obtain correlation spectra between a spin I = 1/2 and a half-integer spin S > 1/2 having a small quadrupolar coupling constant. Three of the methods are based on the heteronuclear multiple-quantum and single-quantum correlation experiments, that is, high rank tensors that involve the half spin and the quadrupolar spin are generated. Here, both zero and single-quantum coherence of the half spins are allowed and various coherence orders of the quadrupolar spin are generated, and filtered, via active recoupling of the dipolar interaction. As a result of generating coherence orders larger than one, the spectral resolution for the quadrupolar nucleus increases linearly with the coherence order. Since the formation of high rank tensors is independent of the existence of a finite quadrupolar interaction, these experiments are also suitable to materials in which there is high symmetry around the quadrupolar spin. A fourth experiment is based on the initial quadrupolar-driven excitation of symmetric high order coherences (up to p = 2S, where S is the spin number) and subsequently generating by the heteronuclear dipolar interaction higher rank (l + 1 ormore »

- Authors:

- Publication Date:

- OSTI Identifier:
- 22493636

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Chemical Physics

- Additional Journal Information:
- Journal Volume: 144; Journal Issue: 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; CARBON 13; COMPARATIVE EVALUATIONS; COMPLEXES; CORRELATIONS; COUPLING CONSTANTS; DISTANCE; EXCITATION; FILTERS; GLYCINE; LITHIUM; LITHIUM 7; LITHIUM COMPLEXES; NMR SPECTRA; NUCLEAR MAGNETIC RESONANCE; RESOLUTION; SOLIDS; SPIN; TENSORS; WATER

### Citation Formats

```
Eliav, U., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il, Haimovich, A., and Goldbourt, A., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il.
```*Site-resolved multiple-quantum filtered correlations and distance measurements by magic-angle spinning NMR: Theory and applications to spins with weak to vanishing quadrupolar couplings*. United States: N. p., 2016.
Web. doi:10.1063/1.4938415.

```
Eliav, U., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il, Haimovich, A., & Goldbourt, A., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il.
```*Site-resolved multiple-quantum filtered correlations and distance measurements by magic-angle spinning NMR: Theory and applications to spins with weak to vanishing quadrupolar couplings*. United States. doi:10.1063/1.4938415.

```
Eliav, U., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il, Haimovich, A., and Goldbourt, A., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il. Thu .
"Site-resolved multiple-quantum filtered correlations and distance measurements by magic-angle spinning NMR: Theory and applications to spins with weak to vanishing quadrupolar couplings". United States. doi:10.1063/1.4938415.
```

```
@article{osti_22493636,
```

title = {Site-resolved multiple-quantum filtered correlations and distance measurements by magic-angle spinning NMR: Theory and applications to spins with weak to vanishing quadrupolar couplings},

author = {Eliav, U., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il and Haimovich, A. and Goldbourt, A., E-mail: amirgo@tau.ac.il, E-mail: eliav@tau.ac.il},

abstractNote = {We discuss and analyze four magic-angle spinning solid-state NMR methods that can be used to measure internuclear distances and to obtain correlation spectra between a spin I = 1/2 and a half-integer spin S > 1/2 having a small quadrupolar coupling constant. Three of the methods are based on the heteronuclear multiple-quantum and single-quantum correlation experiments, that is, high rank tensors that involve the half spin and the quadrupolar spin are generated. Here, both zero and single-quantum coherence of the half spins are allowed and various coherence orders of the quadrupolar spin are generated, and filtered, via active recoupling of the dipolar interaction. As a result of generating coherence orders larger than one, the spectral resolution for the quadrupolar nucleus increases linearly with the coherence order. Since the formation of high rank tensors is independent of the existence of a finite quadrupolar interaction, these experiments are also suitable to materials in which there is high symmetry around the quadrupolar spin. A fourth experiment is based on the initial quadrupolar-driven excitation of symmetric high order coherences (up to p = 2S, where S is the spin number) and subsequently generating by the heteronuclear dipolar interaction higher rank (l + 1 or higher) tensors that involve also the half spins. Due to the nature of this technique, it also provides information on the relative orientations of the quadrupolar and dipolar interaction tensors. For the ideal case in which the pulses are sufficiently strong with respect to other interactions, we derive analytical expressions for all experiments as well as for the transferred echo double resonance experiment involving a quadrupolar spin. We show by comparison of the fitting of simulations and the analytical expressions to experimental data that the analytical expressions are sufficiently accurate to provide experimental {sup 7}Li–{sup 13}C distances in a complex of lithium, glycine, and water. Discussion of the regime for which such an approach is valid is given.},

doi = {10.1063/1.4938415},

journal = {Journal of Chemical Physics},

issn = {0021-9606},

number = 2,

volume = 144,

place = {United States},

year = {2016},

month = {1}

}