Measuring the Kinetics of Neutral Pair Evaporation from Cluster Ions of Ionic Liquid in the Drift Region of a Differential Mobility Analyzer

Singly charged clusters [C⁺A^-]_nC⁺ or [C⁺A^-]_nA^- of two salts [C⁺A^-] are produced by electrospray ionization of alcohol solutions of the ionic liquids 1-ethyl-3-methylimidazolium tris(pentafluoroethyl)trifluorophosphate (EMI-FAP) and 1,2-dimethyl-3-propylimidazolium-methide (DMPI-Me). The rate of neutral pair evaporation into [C⁺A^-] + [C⁺A^-]_n-1C⁺ or [C⁺A^-]_n-1A^- is studied in atmospheric pressure as a function of temperature T for the positive trimer ion (n = 2) of DMPI-Me and the negative trimer ion of EMI-FAP. The trimer is separated from all other electrosprayed ions in a first differential mobility analyzer (DMA₁) and then transferred through a cooled tube to a second DMA whose drift gas is kept at a controlled temperature (25 °C < T < 100 °C). Singular characteristics of the DMA are a residence time τ of ∼0.1 to 1 ms, with essentially uniform temperature and τ. The decomposition occurring within DMA₂ results in a complex mobility spectrum associated with dimer product ions, with apparent mobilities intermediate between those of the dimer and the trimer, depending on the product of the reaction rate k and τ. A theoretical expression yielding k from the shape of the collected mobility spectrum is obtained by accounting for the deterministic reactive, convective, and diffusive evolutions of the parent and product ions within DMA₂. Observed and predicted mobility spectra agree well, yielding the reaction rate k with little ambiguity. Activation energies near 1 eV are determined for both trimer ions. Paradoxically, the evaporation process substantially heats up the cluster ion product. The theory developed enables measuring decay times much smaller and much larger than the residence time in the DMA.