A. Fahr et al., OPTIMIZING COMPLEX KINETICS EXPERIMENTS USING LEAST-SQUARES METHODS, Journal of research of the National Institute of Standards and Technology, 98(2), 1993, pp. 181-190
Complex kinetic problems are generally modeled employing numerical int
egration routines. Our kinetics modeling program, Acuchem, has been mo
dified to fit rate constants and absorption coefficients generically t
o real or synthesized ''laboratory data'' via a least-squares iterativ
e procedure written for personal computers. To test the model and meth
od of analysis the self- and cross-combination reactions of HO2 and CH
3O2 radicals of importance in atmospheric chemistry are examined. Thes
e radicals as well as other species absorb ultraviolet radiation. The
resultant absorption signal is measured in the laboratory and compared
with a modeled signal to obtain the best-fit to various kinetic param
eters. The modified program generates synthetic data with added random
noise. An analysis of the synthetic data leads to an optimization of
the experimental design and best-values for certain rate constants and
absorption coefficients.