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The 19F spins in a crystal of fluorapatite have often been used toexperimentally approximate a one-dimensional spin system. Under suitablemulti-pulse control, the nuclear spin dynamics may be modeled to firstapproximation by a double-quantum one-dimensional Hamiltonian, which isanalytically solvable for nearest-neighbor couplings. Here, we use solid-statenuclear magnetic resonance techniques to investigate the multiple quantumcoherence dynamics of fluorapatite, with an emphasis on understanding theregion of validity for such a simplified picture. Using experimental,numerical, and analytical methods, we explore the effects of long-rangeintra-chain couplings, cross-chain couplings, as well as couplings to a spinenvironment, all of which tend to damp the oscillations of the multiple quantumcoherence signal at sufficiently long times. Our analysis characterizes theextent to which fluorapatite can faithfully simulate a one-dimensional quantumwire.

NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics