NMR line shapes of a gas of nuclear molecules in fluctuating nano-containers

The NMR line shape of gases of spin - 1 2 carrying molecules in fluctuating nano-containers under the Gaussian stochastic dynamics and for the regular harmonic vibrations is calculated exactly. For large correlation times, τc, the overall line shape is shown to obey a logarithmic asymptotics, const × ln ( 1 ω ) , at low frequencies ω and an exponentially decaying asymptotics in a high frequency domain. For small τc, the overall line shape has a bell-shaped profile with ω−4 far wing behaviour. A satellite structure of the NMR line shape of nano-bubbles subjected to the harmonic deformations due to the acoustic waves is calculated exactly.