  Measurements of ions in atmospheric air are used to investigate atmospheric
electricity and particulate pollution. Commonly studied ion parameters are (1)
air conductivity, related to the total ion number concentration, and (2) the
ion mobility spectrum, which varies with atmospheric composition. The physical
principles of air ion instrumentation are long-established. A recent
development is the computerised aspirated capacitor, which measures ions from
(a) the current of charged particles at a sensing electrode, and (b) the rate
of charge exchange with an electrode at a known initial potential, relaxing to
a lower potential. As the voltage decays, only ions of higher and higher
mobility are collected by the central electrode and contribute to the further
decay of the voltage. This enables extension of the classical theory to
calculate ion mobility spectra by inverting voltage decay time series. In
indoor air, ion mobility spectra determined from both the novel voltage decay
inversion, and an established voltage switching technique, were compared and
shown to be of similar shape. Air conductivities calculated by integration
were: 5.3 +- 2.5 fS/m and 2.7 +- 1.1 fS/m respectively, with conductivity
determined to be 3 fS/m by direct measurement at a constant voltage.
Applications of the new Relaxation Potential Inversion Method (RPIM) include
air ion mobility spectrum retrieval from historical data, and computation of
ion mobility spectra in planetary atmospheres.
