Master Equation Analysis of Thermal Activation Reactions:  Energy-Transfer Constraints on Falloff Behavior in the Decomposition of Reactive Intermediates with Low Thresholds

1996 ◽  
Vol 100 (10) ◽  
pp. 4011-4018 ◽  
Author(s):  
W. Tsang ◽  
V. Bedanov ◽  
M. R. Zachariah
Keyword(s):  
Energy Transfer ◽  
Master Equation ◽  
Thermal Activation ◽  
Reactive Intermediates ◽  
Equation Analysis

Master Equation Analysis of Thermal Activation Reactions: Reversible Isomerization and Decomposition

1995 ◽  
Vol 99 (29) ◽  
pp. 11452-11457 ◽  
Author(s):  
Vladimir M. Bedanov ◽  
Wing Tsang ◽  
Michael R. Zachariah
Keyword(s):  
Master Equation ◽  
Thermal Activation ◽  
Equation Analysis

scholarly journals Time-Resolved Measurements and Master Equation Modelling of the Unimolecular Decomposition of CH3OCH2

2020 ◽  
Vol 234 (7-9) ◽  
pp. 1233-1250 ◽  
Author(s):  
Arrke J. Eskola ◽  
Mark A. Blitz ◽  
Michael J. Pilling ◽  
Paul W. Seakins ◽  
Robin J. Shannon
Keyword(s):  
Energy Transfer ◽  
Master Equation ◽  
Rate Coefficient ◽  
Zero Point ◽  
Buffer Gas ◽  
Unimolecular Decomposition ◽  
Time Resolved ◽  
Point Energy ◽  
Wide Range ◽  
Transfer Parameters

AbstractThe rate coefficient for the unimolecular decomposition of CH3OCH2, k1, has been measured in time-resolved experiments by monitoring the HCHO product. CH3OCH2 was rapidly and cleanly generated by 248 nm excimer photolysis of oxalyl chloride, (ClCO)2, in an excess of CH3OCH3, and an excimer pumped dye laser tuned to 353.16 nm was used to probe HCHO via laser induced fluorescence. k1(T,p) was measured over the ranges: 573–673 K and 0.1–4.3 × 1018 molecule cm−3 with a helium bath gas. In addition, some experiments were carried out with nitrogen as the bath gas. Ab initio calculations on CH3OCH2 decomposition were carried out and a transition-state for decomposition to CH3 and H2CO was identified. This information was used in a master equation rate calculation, using the MESMER code, where the zero-point-energy corrected barrier to reaction, ΔE0,1, and the energy transfer parameters, ⟨ΔEdown⟩ × Tn, were the adjusted parameters to best fit the experimental data, with helium as the buffer gas. The data were combined with earlier measurements by Loucks and Laidler (Can J. Chem.1967, 45, 2767), with dimethyl ether as the third body, reinterpreted using current literature for the rate coefficient for recombination of CH3OCH2. This analysis returned ΔE0,1 = (112.3 ± 0.6) kJ mol−1, and leads to $k_{1}^{\infty}(T)=2.9\times{10^{12}}$ (T/300)2.5 exp(−106.8 kJ mol−1/RT). Using this model, limited experiments with nitrogen as the bath gas allowed N2 energy transfer parameters to be identified and then further MESMER simulations were carried out, where N2 was the buffer gas, to generate k1(T,p) over a wide range of conditions: 300–1000 K and N2 = 1012–1025 molecule cm−3. The resulting k1(T,p) has been parameterized using a Troe-expression, so that they can be readily be incorporated into combustion models. In addition, k1(T,p) has been parametrized using PLOG for the buffer gases, He, CH3OCH3 and N2.

Boltzmann master equation analysis of preequilibrium neutron emission from heavy-ion collisions at 35 MeV/nucleon

1988 ◽  
Vol 38 (4) ◽  
pp. 1746-1756 ◽  
Author(s):  
B. A. Remington ◽  
M. Blann ◽  
A. Galonsky ◽  
L. Heilbronn ◽  
F. Deak ◽  
...  
Keyword(s):  
Master Equation ◽  
Heavy Ion Collisions ◽  
Neutron Emission ◽  
Heavy Ion ◽  
Ion Collisions ◽  
Equation Analysis
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