Pileio, Giuseppe (2022) Lecture 12: a relaxation theory of nuclear spin states. In, Pileio, Giuseppe (ed.) Lectures On Spin Dynamics: The Theoretical Minimum. (RSC eTextbook Collection) Royal Society of Chemistry, pp. 143-162. (doi:10.1039/9781837670871-00143).
Abstract
In this lecture, I discuss a semi-classical relaxation theory of nuclear spin states, the so-called Wangsness–Bloch–Redfield (WBR) theory. I first discuss the concept of relaxation to an equilibrium configuration in a qualitative manner, in order to introduce the two most important relaxation decay constants: T 1 and T 2. Later, I derive a compact expression for the dynamics under incoherent Hamiltonians, define its validity regime and introduce the concept of a relaxation superoperator. Finally, the dipolar contribution to the relaxation superoperator is derived and put to use to calculate the longitudinal and transverse relaxation decay rate constants due to such a mechanism.
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