NMR pulse techniques have been used to study the orientational ordering of 15 N 2 molecules physisorbed on graphite. A small hysteresis (~2.5%) and small discontinuity in the evolution of the NMR echo amplitudes which depend directly on the local order parameters indicates that the order-disorder transition is first order.PACS numbers: 64.70. Kb, 76.60.Lz We report results of an NMR study of the orientational ordering of monolayers of 15 N 2 molecules physisorbed on exfoliated graphite. This system is a physical realization of the two-dimensional (2D) ordering of electric quadrupoles on a triangular lattice for which topological frustration and critical fluctuations are expected to play major roles. 1 ' 2 The transition from the orientationally disordered phase has stimulated considerable interest since it is believed to belong to the same universality class as the n = 3 component Heisenberg model with face-oriented anisotropy, and it is predicted that critical fluctuations will drive the transition first order. 1,3 ' 4 Although recent low-energy-electron diffraction measurements 5 * 6 have shown that the orientationally ordered phase is a (2x1) herringbone configuration, the nature of the phase transition has not been elucidated. In order to determine whether or not the transition is first order we have used NMR techniques to follow the evolution of the local order parameters. The results indicate that the transition is first order with a small discontinuity in the order parameter and a hysteresis ^ 2.5% on thermal cycling. This agrees qualitatively with recent Monte Carlo simulations. 3 Monolayers of N 2 form a commensurate 2D solid on graphite below 47 K with the molecules occupying the center of every third carbon ring, i.e., a {/ZxV~3)R3Q° triangular net. 7 At high temperatures, the molecular axes are disordered as a result of thermal agitation, but at low temperatures this rotational symmetry is broken by anisotropic forces acting on the molecules. There are two contributions: (1) the strong anisotropic potential of the graphite substrate 8 for which the molecules tend to lie parallel to the graphite, and (2) the anisotropic interaction between the molecules (principally electric quadrupole-quadrupole) which leads to a collective orientational ordering of the axes. 9 The results of en-ergy minimization, 10 Monte Carlo simulations, 11 and mean-field-approximation calculations 1 show that the ground state is a two-sublattice herringbone array.The orientational ordering transition was first seen in heat-capacity studies 12 and later confirmed by neutron scattering. 13 The herringbone structure was identified by low-energy electrondiffraction measurements 5 ' 6 which were able to detect several superlattice reflections. The intensity of the superlattice peaks varied continuously on warming with an apparently smooth transition at approximately 30 K although a weak intensity persisted up to 39 K. It was not possible to conclude from these studies whether the transition was smooth or first order.More detailed...