The unimolecular isomerisation of monofluorocyclopropane: a reaction with multiple fall-off characteristics?

1977 ◽  
Vol 55 (10) ◽  
pp. 1595-1598 ◽  
Author(s):  
Mohammad H. Baghal-Vayjooee ◽  
Andrew W. Yau ◽  
Huw O. Pritchard

Monofluorocyclopropane isomerises at 475 °C to give four products, cis-1-fluoropropene, trans-1-fluoropropene, 2-fluoropropene, and 3-fluoropropene; the ratios of product formation are not independent of pressure and it is shown that, using the Kassel representation, the individual fall-off curves correspond to values of the parameter s = 9, 6, 4, and 4 respectively. It is shown that although conventional RRKM theory can account satisfactorily for the difference in fall-off behaviour between the cis- and trans-1-propene yields, it cannot account for the pressure dependence of the formation of 2- and 3-fluoropropene; the latter behaviour is, however, easily understood in terms of the master-equation approach.

2012 ◽  
Vol 61 (2-3) ◽  
pp. 305-316 ◽  
Author(s):  
V. Gudmundsson ◽  
O. Jonasson ◽  
Th. Arnold ◽  
C-S. Tang ◽  
H.-S. Goan ◽  
...  

2003 ◽  
Vol 790 ◽  
Author(s):  
O. Bénichou ◽  
A.M. Cazabat ◽  
J. De Coninck ◽  
M. Moreau ◽  
G. Oshanin

ABSTRACTWe review recent results on intrinsic frictional properties of adsorbed monolayers, composed of mobile hard-core particles undergoing continuous exchanges with a vapor phase. In terms of a dynamical master equation approach we determine the velocity of a biased impure molecule - the tracer particle (TP), constrained to move inside the adsorbed mono-layer probing its frictional properties, define the frictional forces exerted by the monolayer on the TP, as well as the particles density distribution in the monolayer.


2021 ◽  
Vol 2103 (1) ◽  
pp. 012158
Author(s):  
N V Larionov

Abstract The model of a single-emitter laser generating in the regime of small number of photons in the cavity mode is theoretically investigated. Based on a system of equations for different moments of the field operators the analytical expressions for mean photon number and photon number variance are obtained. Using the master equation approach the differential equation for the phase-averaged quasi-probability Q is derived. For some limiting cases the exact solutions of this equation are found.


2004 ◽  
Vol 69 (8) ◽  
Author(s):  
Xin-Qi Li ◽  
Wen-Kai Zhang ◽  
Ping Cui ◽  
Jiushu Shao ◽  
Zhongshui Ma ◽  
...  

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