The Effect of the Demagnetizing Field on the NMR Spectra for Liquids Enclosed in a Cylinder

Abstract

The NMR spectrum of a simple liquid in a cell of size L depends on D, the diffusion constant, G, the applied field gradient, and M ₀, the z-component of magnetization before tipping of the spins. For small tipping angles the shape of the spectrum depends on which of the corresponding frequency scales—ω _D = D/L ²,ω _G = γ FL, and ω _M = γ μ₀ M ₀—is the largest. We explore the evolution of the spectrum between the inhomogeneous broadening regime (ω _G ≫ ω _D ,ω _M ) and the regime where the spin dynamics is dominated by magnetostatic modes (ω _M ≫ ω _D ,ω _G )for a liquid confined in a cylinder of length 2L, both for classical liquids, and for liquids which exhibit the Leggett–Rice effect.