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Vibrational calculations for H + are performed using an accurate global ab initio potential energy surface. Fourteen bound states close to dissociationarefoundtohaveinterestinglong-rangedynamics.Theseasymptotic vibrational states (AVS) are studied graphically by cuts through their wave functionsandbycalculatingarotationalconstant.TheseAVS,whichoverlapopen systemclassicaltrajectoriesthatformhalf-tori,shouldleadtoanincreaseddensity of states near dissociation. Their influence on the infrared near-dissociation spectrum of H + remains to be determined.

Asymptotic vibrational states of the H3+molecular ion

Asymptotic vibrational states of the H₃⁺molecular ion