Table 3 U-O reaction channels from previously constructed reaction mechanism5 that are included in the 0D model but are not optimized due to a lack of constraining data.

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

No.

Reaction

\(\Delta _r H_{298.15K}\) (kJ/mol)

k

A (cm\(^{3(m-1)}\)/s)a

n (–)

\(E_A/R\) (K)

13

\({\mathrm{UO_2 + O_2}} \rightleftharpoons {\mathrm{UO_3 + O}}\)

− 74.129

\(1.17 \times 10^{-11}\)

0.5

8915.7

14

\({\mathrm{UO_3}} \rightleftharpoons {\mathrm{UO_2 + O}}\)

570.083

\(1.00 \times 10^{+15}\)

0.0

73300.3

15

\({\mathrm{e^- + U}} \rightarrow {\mathrm{U^+ + 2e^-}}\)

604.421

\(1.000 \times 10^{-4}\)

− 0.721

80587.0

16

\({\mathrm{e^- + UO}} \rightarrow {\mathrm{UO^+ + 2e^-}}\)

550.956

\(1.715 \times 10^{-10}\)

0.634

84323.0

17

\({\mathrm{e^- + UO_2}} \rightarrow {\mathrm{UO_2^+ + 2e^-}}\)

529.925

\(9.452 \times 10^{-9}\)

0.256

84862.0

18

\({\mathrm{U + O_3}} \rightarrow {\mathrm{UO_2^+ + O + e^-}}\)

− 367.889

\(7.750 \times 10^{-13}\)

0.5

0.0

19

\({\mathrm{U + O_3}} \rightarrow {\mathrm{UO^+ + O_2 + e^-}}\)

− 93.728

\(7.750 \times 10^{-13}\)

0.5

0.0

20

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

− 313.358

\(3.978 \times 10^{-10}\)

0.0

0.0

21

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

− 274.161

\(2.477 \times 10^{-10}\)

0.0

0.0

22

\({\mathrm{UO_2^- + O_2}} \rightleftharpoons {\mathrm{UO_3^- + O}}\)

− 182.126

\(1.481 \times 10^{-10}\)

0.0

0.0

23

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

− 699.408

\(3.037 \times 10^{-9}\)

0.0

0.0

\(1.379 \times 10^{-8}\)

− 0.5

0.0

24

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

− 300.364

\(1.105 \times 10^{-9}\)

0.0

0.0

\(5.016 \times 10^{-9}\)

− 0.5

0.0

25

\({\mathrm{UO + O_3^-}} \rightleftharpoons {\mathrm{UO_2^- + O_2}}\)

− 530.513

\(9.272 \times 10^{-10}\)

0.0

0.0

\(4.209 \times 10^{-9}\)

− 0.5

0.0

26

\({\mathrm{UO_2 + O^-}} \rightleftharpoons {\mathrm{UO_3^-}}\)

− 628.404

\(3.056 \times 10^{-9}\)

0.0

0.0

27

\({\mathrm{UO_2 + O_2^-}} \rightleftharpoons {\mathrm{UO_3^- + O}}\)

− 229.360

\(1.110 \times 10^{-9}\)

0.0

0.0

28

\({\mathrm{UO_2 + O_3^-}} \rightleftharpoons {\mathrm{UO_3^- + O_2}}\)

− 459.509

\(9.302 \times 10^{-10}\)

0.0

0.0

29b

\({\textrm{UO}}^+_x{\mathrm{+ e^- + e^-}} \rightarrow {\textrm{UO}}_x{\mathrm{+ e^-}}\)

N/A\(^{{\textrm{c}}}\)

\(9.821 \times 10^{-9}\)

− 9/2

0.0

30b

\({\textrm{UO}}^+_x{\mathrm{+ e^- + M}} \rightarrow {\textrm{UO}}_x{\mathrm{+ M}}\)

N/A\(^{{\textrm{c}}}\)

\(3.118 \times 10^{-23}\)

− 3/2

0.0

  1. aUnits m is the reaction order (i.e. 1/s, cm\(^3\)/s, cm\(^6\)/s for 1st, 2nd, 3rd order reactions).
  2. b0 \(< x<\) 2.
  3. cVaries depending on the value of x.