# The multiple quantum NMR dynamics in systems of equivalent spins with a dipolar ordered initial state

## Abstract

The multiple quantum (MQ) NMR dynamics in the system of equivalent spins with the dipolar ordered initial state is considered. The high symmetry of the Hamiltonian responsible for the MQ NMR dynamics (the MQ Hamiltonian) is used to develop analytic and numerical methods for the investigation of the MQ NMR dynamics in systems consisting of hundreds of spins from the 'first principles.' We obtain the dependence of the intensities of the MQ NMR coherences on their orders (profiles of the MQ NMR coherences) for systems of 200-600 spins. It is shown that these profiles may be well approximated by exponential distribution functions. We also compare the MQ NMR dynamics in the systems of equivalent spins having two different initial states, the dipolar ordered state and the thermal equilibrium state in a strong external magnetic field.

- Authors:

- Russian Academy of Sciences, Institute of Problems of Chemical Physics (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22028017

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 113; Journal Issue: 3; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; COMPARATIVE EVALUATIONS; DISTRIBUTION FUNCTIONS; HAMILTONIANS; MAGNETIC FIELDS; NUCLEAR MAGNETIC RESONANCE; SPIN; SYMMETRY; THERMAL EQUILIBRIUM

### Citation Formats

```
Doronin, S. I., Fel'dman, E. B., and Zenchuk, A. I., E-mail: zenchuk@itp.ac.ru.
```*The multiple quantum NMR dynamics in systems of equivalent spins with a dipolar ordered initial state*. United States: N. p., 2011.
Web. doi:10.1134/S1063776111130036.

```
Doronin, S. I., Fel'dman, E. B., & Zenchuk, A. I., E-mail: zenchuk@itp.ac.ru.
```*The multiple quantum NMR dynamics in systems of equivalent spins with a dipolar ordered initial state*. United States. doi:10.1134/S1063776111130036.

```
Doronin, S. I., Fel'dman, E. B., and Zenchuk, A. I., E-mail: zenchuk@itp.ac.ru. Thu .
"The multiple quantum NMR dynamics in systems of equivalent spins with a dipolar ordered initial state". United States. doi:10.1134/S1063776111130036.
```

```
@article{osti_22028017,
```

title = {The multiple quantum NMR dynamics in systems of equivalent spins with a dipolar ordered initial state},

author = {Doronin, S. I. and Fel'dman, E. B. and Zenchuk, A. I., E-mail: zenchuk@itp.ac.ru},

abstractNote = {The multiple quantum (MQ) NMR dynamics in the system of equivalent spins with the dipolar ordered initial state is considered. The high symmetry of the Hamiltonian responsible for the MQ NMR dynamics (the MQ Hamiltonian) is used to develop analytic and numerical methods for the investigation of the MQ NMR dynamics in systems consisting of hundreds of spins from the 'first principles.' We obtain the dependence of the intensities of the MQ NMR coherences on their orders (profiles of the MQ NMR coherences) for systems of 200-600 spins. It is shown that these profiles may be well approximated by exponential distribution functions. We also compare the MQ NMR dynamics in the systems of equivalent spins having two different initial states, the dipolar ordered state and the thermal equilibrium state in a strong external magnetic field.},

doi = {10.1134/S1063776111130036},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 3,

volume = 113,

place = {United States},

year = {2011},

month = {9}

}