# A diffusion equation approach to spin diffusion in biomolecules

Krishnan, VV and Murali, N and Kumar, Anil (1989) A diffusion equation approach to spin diffusion in biomolecules. In: Journal of Magnetic Resonance, 84 (2). pp. 255-267.

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## Abstract

A theoretical description of $1^H-1^H$ dipolar nuclear spin relaxation in a multispin system has been worked out by forming a diffusion equation for a one-dimensional chain of equidistant spins. The spin-diffusion equation is formed from first principles by assuming nearest neighbor interactions for a molecule undergoing isotropic random reorientation. This equation describes diffusion only in the long correlation limit (for $(\omega \tau_c > 1.118)$ and is solved for driven NOE experiments, for spins in a chain of infinite length $(0 <x< \infty)$, or for spins in a chain of finite length $(0 <x< L$). The solutions are obtained using the method of the Laplace transform for specified initial and boundary conditions. The observed selectivity of the NOE transfer in driven NOE experiments on a biomolecule which has a correlation factor $\omega\tau_c \sim3$ is indeed in conformity with the predictions obtained from the spin-diffusion equation.

Item Type: Journal Article Copyright of this article belongs to Elsevier Science Division of Chemical Sciences > Sophisticated Instruments FacilityDivision of Physical & Mathematical Sciences > Physics 14 Feb 2008 19 Sep 2010 04:42 http://eprints.iisc.ernet.in/id/eprint/12793