Periodic Dispersion-Corrected Approach for Isolation Spectroscopy of N 2 in an Argon Environment: Clusters, Surfaces, and Matrices.

Ab initio and Perdew, Burke, and Ernzerhof (PBE) density functional theory with dispersion correction (PBE-D3) calculations are performed to study N2 -Arn (n ≤ 3) complexes and N2 trapped in Ar matrix (i.e., N2 @Ar). For cluster computations, we used both Møller-Plesset (MP2) and PBE-D3 methods. For N2 @Ar, we used a periodic-dispersion corrected model for Ar matrix, which consists on a slab of four layers of Ar atoms. We determined the equilibrium structures and binding energies of N2 interacting with these entities. We also deduced the N2 vibrational frequency shifts caused by clustering or embedding compared to an isolated N2 molecule. Upon complexation or embedding, the vibrational frequency of N2 is slightly shifted, while its equilibrium distance remains unchanged. This is due to the weak interactions between N2 and Ar within these compounds. Our calculations show the importance of inclusion of dispersion effects for the accurate description of geometrical and spectroscopic parameters of N2 isolated, in interaction with Ar surfaces, or trapped in Ar matrices.