English

NMR Relaxation by Redfield's equation in a spin system $I=7/2$

Quantum Physics 2023-06-21 v1

Abstract

Redfield's master equation is solved analytically for a nuclear system with spin I=7/2I=7/2. The solutions of each density matrix element are computed using the irreducible tensor operator basis. The 133^{133}Cs nuclei of the caesium-pentadecafluorooctanoate molecule in a lyotropic liquid crystal sample at the nematic phase and at room temperature was used as an experimental setup. Experimental longitudinal and transverse magnetization dynamics of the 133^{133}Cs nuclei signal were monitored and by numerical procedures the theoretical approach generates valuable mathematical expressions with the highest accuracy. The methodology introduced could be extended without major difficulties to other nuclei species.

Keywords

Cite

@article{arxiv.2209.02187,
  title  = {NMR Relaxation by Redfield's equation in a spin system $I=7/2$},
  author = {A. Consuelo-Leal and A. G. Araujo-Ferreira and E. Lucas-Oliveira and T. J. Bonagamba and R. Auccaise},
  journal= {arXiv preprint arXiv:2209.02187},
  year   = {2023}
}
R2 v1 2026-06-28T00:46:01.242Z