Ions
can experience significant field-induced heating in a differential
mobility cell. To investigate this phenomenon, the fragmentation of
several para-substituted benzylpyridinium “thermometer”
ions (R = OMe, Me, F, Cl, H, CN) was monitored in a commercial differential
mobility spectrometer (DMS). The internal energy of each benzylpyridinium
derivative was characterized by monitoring the degree of fragmentation
to obtain an effective temperature, T
eff, which corresponds to a temperature consistent with treating the
observed fragmentation ratio using a unimolecular dissociation rate
weighted by a Boltzmann distribution at a temperature T. It was found that ions are sufficiently thermalized after initial
activation from the ESI process to the temperature of the bath gas, T
bath. Once a critical field strength was surpassed,
significant fragmentation of the benzylpyridinium ions was detected.
At the maximum bath gas temperature (450 K) and separation voltage
(SV; 4400 V) for our instrument, T
eff for
the benzylpyridinium derivatives ranged from 664 ± 9 K (p-OMe) to 759 ± 17 K (p-H). The extent
of activation at a given SV depends on the ion’s mass, degrees
of freedom, (N
DoF), and collision frequency
as represented by the ion’s collision cross section. Plots
of T
eff vs the product of ion mass and N
DoF and the inverse of collision cross section
produce strong linear relationships. This provides an attractive avenue
to estimate ion temperatures at a given SV using only intrinsic properties.
Moreover, experimentally determined T
eff correlate with theoretically predicted T
eff using with a self-consistent method based on two-temperature theory.
The various instrumental and external parameters that influence T
eff are additionally discussed.