Recently, we have introduced a slow-motional theory for transverse nuclear spin relaxation due to director fluctuations [D. Frezzato, G. Kothe, and G. J. Moro, J. Phys. Chem. B 105, 1281 (2001)]. This method is now generalized to second-order contributions of the fluctuating director. We consider the specific case in which the director is aligned orthogonal to the magnetic field. By exploiting the Gaussian character of director fluctuations, the stochastic Liouville equation for the coupled spin and director dynamics is solved in terms of a characteristic function whose time dependence is determined by a nonlinear integral equation. A convenient solution of the integral equation is obtained by decomposing the characteristic function according to the relaxation rates of the director fluctuations. In a first application, we evaluate the free induction decay and the corresponding absorption spectrum for quadrupolar probe nuclei in nematic liquid crystals. It is shown that the transverse magnetization is well represented by a monoexponential decay, i.e., a Lorentzian lineshape in the frequency domain. Explicit relations are derived for the linewidths and frequency shifts under slow-motional conditions where the Redfield theory cannot be applied anymore.
Skip Nav Destination
Article navigation
1 October 2003
Research Article|
October 01 2003
Transverse nuclear spin relaxation due to director fluctuations in liquid crystals. II. Second-order contributions of the fluctuating director
Diego Frezzato;
Diego Frezzato
Department of Physical Chemistry, University of Padova, via Loredan 2, I-35131 Padova, Italy
Search for other works by this author on:
Giorgio J. Moro;
Giorgio J. Moro
Department of Physical Chemistry, University of Padova, via Loredan 2, I-35131 Padova, Italy
Search for other works by this author on:
Gerd Kothe
Gerd Kothe
Department of Physical Chemistry, University of Freiburg, Albertstr. 21, D-79104 Freiburg, Germany
Search for other works by this author on:
J. Chem. Phys. 119, 6931–6945 (2003)
Article history
Received:
April 30 2003
Accepted:
July 01 2003
Connected Content
A companion article has been published:
Transverse nuclear spin relaxation due to director fluctuations in liquid crystals. III. A slow-motional theory for the angular dependence in pulsed experiments
Citation
Diego Frezzato, Giorgio J. Moro, Gerd Kothe; Transverse nuclear spin relaxation due to director fluctuations in liquid crystals. II. Second-order contributions of the fluctuating director. J. Chem. Phys. 1 October 2003; 119 (13): 6931–6945. https://doi.org/10.1063/1.1603726
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
DeePMD-kit v2: A software package for deep potential models
Jinzhe Zeng, Duo Zhang, et al.
CREST—A program for the exploration of low-energy molecular chemical space
Philipp Pracht, Stefan Grimme, et al.
Rubber wear: Experiment and theory
B. N. J. Persson, R. Xu, et al.
Related Content
Transverse nuclear spin relaxation due to director fluctuations in liquid crystals. III. A slow-motional theory for the angular dependence in pulsed experiments
J. Chem. Phys. (October 2003)
Transverse nuclear spin relaxation induced by director fluctuations in a nematic liquid crystal polymer. Evaluation of the anisotropic elastic constants
J. Chem. Phys. (August 2003)
Molecular diffusion in liquid crystals and chiral discrimination. II. Model calculations
J. Chem. Phys. (September 2006)
Cranklike conformational transitions in polyethylene
J. Chem. Phys. (September 2004)
Molecular diffusion in liquid crystals and chiral discrimination. I. Theory
J. Chem. Phys. (April 2005)