An empirical formula for calculating the IR extinction of aerosol part
icles of brass 70 Cu/30 Zn over the IR frequency range was derived bas
ed on extensive calculations made on a body-center-like model having a
widely varying number of particles ranging from 3.2 x 10(4) to 2.56 x
10(5). The expansion coefficients in the empirical formula were deter
mined by the least squares curve fitting ot numerical data obtained us
ing the finite difference time domain (FDTD) method. The formula satis
fied the frequency dependence of the extinction in the frequency range
from 2.143 x 10(13) to 3.75 x 10(13) Hz. The expression for the reson
ant particle size (d0) and the constant coefficients in the empirical
formula were derived in terms of the wavelength lambda, particle size
d, and number of the primary particles N of aerosol particles. Numeric
al results that were obtained from the empirical formula generally agr
eed well with those calculated by the FDTD method tor aerosol particle
s of brass 70 Cu/30 Zn with a magnitude of particle size in the range
from 0.02 to 0.5 mum. The average error in the extinction calculation
was less than 5%. The formula thus provides a simple and inexpensive m
ethod for calculating the IR extinction of aerosol particles, which ot
herwise requires complicated and expensive calculation methods.