We report on NMR studies of the quasi--1D antiferromagnetic S=1/2 chain
cuprate LiCuVO4, focusing on the high--field spin--modulated phase observed
recently in applied magnetic fields H>Hc2 (μ0Hc2≈7.5 T). The NMR spectra of 7Li and 51V around the transition from the
ordered to the paramagnetic state were measured. It is shown that the
spin--modulated magnetic structure forms with ferromagnetic interactions
between spins of neighboring chains within the {\bf ab}--plane at low
temperatures 0.6 K <T<TN. The best fit provides evidence that the
mutual orientation between spins of neighboring {\bf ab}--planes is random. For
elevated temperatures TN<T≲15 K, short--range magnetic
order occurs at least on the characteristic time scale of the NMR experiment.Comment: 5 pages, 5 figure