Table 5 Comparison between final MCGA optimized and previously constructed5 \({\mathrm{UO_x}}\) mechanisms.

From: Stochastic optimization of a uranium oxide reaction mechanism using plasma flow reactor measurements

No.

Reaction

\(k^{{\textrm{a}}}_{mcga}\)

\(k_{lit}\)

A (cm\(^3\)/s)

n (–)

\(E_A/R\) (K)

A (cm\(^3\)/s)

n (–)

\(E_A/R\) (K)

1

\({\mathrm{U + O}} \rightleftharpoons {\textrm{UO}}\)

\(1.942 \times 10^{-11}\)

− 1.25

209.88

2

\({\mathrm{U + O_2}} \rightleftharpoons {\mathrm{UO_2}}\)

\(3.360 \times 10^{-12}\)

0.50

12910.0

3

\({\mathrm{U + O_2}} \rightleftharpoons {\mathrm{UO + O}}\)

\(3.360 \times 10^{-12}\)

0.50

5161.7

4

\({\mathrm{U + OH}} \rightleftharpoons {\mathrm{UO + H}}\)

\(1.346 \times 10^{-13}\)

0.32

5505.1

5

\({\mathrm{U + H_2O}} \rightleftharpoons {\mathrm{UO + H_2}}\)

6\(^{{\textrm{b}}}\)

\({\mathrm{UO + O}} \rightleftharpoons {\mathrm{UO_2}}\)

\(1.950 \times 10^{-11}\)

0.31

28020.3

\(8.084 \times 10^{-13}\)

0.27

3582.4

7\(^{{\textrm{b}}}\)

\({\mathrm{UO + O_2}} \rightleftharpoons {\mathrm{UO_3}}\)

\(4.325 \times 10^{-11}\)

− 0.23

− 7503.5

8

\({\mathrm{UO + O_2}} \rightleftharpoons {\mathrm{UO_2 + O}}\)

\(3.800 \times 10^{-11}\)

0.17

0.0

9

\({\mathrm{UO + OH}} \rightleftharpoons {\mathrm{UO_2 + H}}\)

\(1.309 \times 10^{-12}\)

− 0.56

2.03

10

\({\mathrm{UO + H_2O}} \rightleftharpoons {\mathrm{UO_2 + H_2}}\)

\(1.488 \times 10^{-13}\)

0.36

10422.0

11

\({\mathrm{U + O}} \rightarrow {\mathrm{UO^+ + e^-}}\)

\(2.495 \times 10^{-14}\)

− 0.12

51.3

\(1.025 \times 10^{-12}\)

0.50

0.0

12

\({\mathrm{U + O_2}} \rightarrow {\mathrm{UO_2^+ + e^-}}\)

\(7.747 \times 10^{-14}\)

0.50

0.0

  1. aOnly well-constrained reaction channels included here (see Fig. 12 for selection process).
  2. bLiterature rate calculated for reverse process, reversed here by fitting over 300 < T < 10,000 K.