Previous work (Ahn and Liu (1990) J. Aerosol. Sci. 21, 249-261; Brockm
ann (1981) Ph.D. Thesis, University of Minnesota; Rebours et al. (1992
) J. Aerosol. Sci. 23, S189-S192; Stolzenburg (1988) Ph.D. thesis, Uni
versity of Minnesota) has shown that for particles smaller than about
15 nm, pulse heights produced by the optical detector in a white-light
ultrafine condensation nucleus counter (UCNC; Stolzenburg and McMurry
(1991) Aerosol. Sci. 'Technol. 14, 48-65) decrease with initial parti
cle size. We have previously reported on the use of pulse heights from
this instrument to determine the concentrations of freshly nucleated
atmospheric nanoparticles in the 3-4 nm diameter range (Weber et al. (
1995) J. Atm. Sci. 52, 2242-2257) Weber et al. (1997) J. Geophys. Res.
102, 4375-4385). In this paper we report on the inversion of measured
pulse-height distributions to obtain size distributions of particles
in the 3-10 nm diameter range. Using methods developed by Stolzenburg
(Stolzenburg (1988) Ph.D. Thesis, University of Minnesota) the effect
of diffusional broadening is taken into account so as to obtain monodi
sperse kernel functions from measured pulse-height distributions produ
ced by DMA-generated calibration aerosols in the 3-50 nm diameter rang
e. These kernel functions are then used with the MICRON algorithm desc
ribed by Wolfenbarger and Seinfeld (1990, J. Aerosol. Sci. 21, 227-247
) to obtain size distributions of nanoparticle aerosols from measured
pulse height distributions. Calculations were done to ensure that assu
med pulse-height data generated from selected known size distributions
can be inverted to recover the original size distribution. Results fr
om these validation studies are discussed. Applications of the inversi
on algorithm to data acquired in studies of homogeneous nucleation in
the atmosphere are also presented. Published by Elsevier Science Ltd.