  Nano-NMR spectroscopy with nitrogen-vacancy centers holds the potential to
provide high resolution spectra of minute samples. This is likely to have
important implications for chemistry, medicine and pharmaceutical engineering.
One of the main hurdles facing the technology is that diffusion of unpolarized
liquid samples broadens the spectral lines thus limiting resolution.
Experiments in the field are therefore impeded by the efforts involved in
achieving high polarization of the sample which is a challenging endeavor. Here
we examine a scenario where the liquid is confined to a small volume. We show
that the confinement 'counteracts' the effect of diffusion, thus overcoming a
major obstacle to the resolving abilities of the NV-NMR spectrometer.
