TY - JOUR
T1 - Numerical investigation of the uncertainty of Arrhenius parameters
AU - Varga, L.
AU - Szabó, B.T.
AU - Zsély, I.G.
AU - Zempléni, A.
AU - Turányi, T.
PY - 2011
Y1 - 2011
N2 - The temperature dependence of rate coefficient k is usually described by the Arrhenius expression ln k = ln A - (E/R)T -1. Chemical kinetics databases contain the recommended values of Arrhenius parameters A and E, the uncertainty parameter f (T) of the rate coefficient and temperature range of validity of this information. Taking ln k as a random variable with known normal distribution at two temperatures, the corresponding uncertainty of ln k at other temperatures was calculated. An algorithm is provided for the generation of the histogram of the transformed Arrhenius parameters ln A and E/R, which is in accordance with their 2D normal probability density function (pdf). The upper and the lower edges of the 1D normal distribution of ln k correspond to the two opposite edge regions of the 2D pdf of the transformed Arrhenius parameters. Changing the temperature, these edge regions move around the 2D cone. The rate parameters and uncertainty data belonging to reactions H + H2O2 = HO2 + H2 and O + HO2 = OH + O2 were used as examples.
AB - The temperature dependence of rate coefficient k is usually described by the Arrhenius expression ln k = ln A - (E/R)T -1. Chemical kinetics databases contain the recommended values of Arrhenius parameters A and E, the uncertainty parameter f (T) of the rate coefficient and temperature range of validity of this information. Taking ln k as a random variable with known normal distribution at two temperatures, the corresponding uncertainty of ln k at other temperatures was calculated. An algorithm is provided for the generation of the histogram of the transformed Arrhenius parameters ln A and E/R, which is in accordance with their 2D normal probability density function (pdf). The upper and the lower edges of the 1D normal distribution of ln k correspond to the two opposite edge regions of the 2D pdf of the transformed Arrhenius parameters. Changing the temperature, these edge regions move around the 2D cone. The rate parameters and uncertainty data belonging to reactions H + H2O2 = HO2 + H2 and O + HO2 = OH + O2 were used as examples.
U2 - 10.1007/s10910-011-9859-7
DO - 10.1007/s10910-011-9859-7
M3 - Article
VL - 49
SP - 1798
EP - 1809
JO - Journal of Mathematical Chemistry
JF - Journal of Mathematical Chemistry
SN - 0259-9791
IS - 8
ER -