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NMR studies have been carried out to determine the nature of the orientational ordering of N2 in dilute solid N2– Ar mixtures. The orientational ordering for cubic lattices ( x( N2)≍50%) was compared to that observed for the hexagonal lattice structures for 57 < x( N2) < 75%. The NMR line shapes for the cubic structures were found to be sharply defined and could only be explained in terms of a narrow distribution of order parameters. This is in contrast to the quadrupolar glass state with a very broad order parameter distribution observed for the hexagonal structures. [ABSTRACT FROM AUTHOR]