Absolute rate constants for hydrocarbon autoxidation. 30. On the self-reaction of the α-cumylperoxy radical in solution

1981 ◽  
Vol 59 (15) ◽  
pp. 2253-2260 ◽  
Author(s):  
J. A. Howard ◽  
J. E. Bennett ◽  
G. Brunton

Although it is generally accepted that the self-reaction of cumylperoxy radicals is a second-order process, recent reports have cast doubt on the overall validity of this assumption. Therefore we have reinvestigated some aspects of the self-reaction to clarify the kinetic and mechanistic features.Our product studies are entirely consistent with the accepted mechanism for the self-reaction of cumylperoxy radicals and no evidence was obtained for competing reactions. Results obtained with 36O2 labelled materials confirm the previous conclusion that reversible scission of cumylperoxy radicals to give oxygen and cumyl radicals does not compete significantly with the self-reaction at ambient temperatures. Kinetic studies, under both steady-state and transient conditions, establish clearly that the self-reaction of cumylperoxy radicals is a second order process. A possible explanation is proposed to account for the previous observations which indicated that the self-reaction was a first order process. Further, we show that the changes observed in the esr spectrum of the cumylperoxy radicals, which were attributed to the formation of a complex with cumyl hydroperoxide, are caused by changes in the viscosity of the solution.

1966 ◽  
Vol 19 (12) ◽  
pp. 2213 ◽  
Author(s):  
B Bosnich ◽  
FP Dwyer ◽  
AM Sargeson

The polarimetric rates of exchange between optically active propylene- diaminetetraacetic acid (PDTA) and its cadmium complex, and that between ethylenediaminetetraacetic acid (EDTA) and the cadmium propylenediaminetetraacetato complex, have been measured in the pH range 4.75-7.00. An analysis of the reaction kinetics indicates that the exchange, in either case, occurs simultaneously by a first-order and second-order process, and it is concluded that both bimolecular and unimolecular pathways are operative in the exchange process.


Author(s):  
D. R. Hartree

If ηn is the error in the result of repeating an iterative process n times, and ηn+1 is the iterative process is called Kth order. It is shown that if for a given equation there is an iterative process of the (K + 1)th order, the iterative process of the Kth order is not unique, and conversely if an iterative process of the Kth order is not unique, it is generally possible to construct from two of the Kth order processes a process of the (K + 1)th order. As an example, three second-order processes for a square root are exhibited, and a third-order process is derived from two of them.Iterative processes for positive and negative integer roots are given, of kinds suitable for use on machines in which division is a relatively slow process and one to be used sparingly. It is shown how a second-order process can be derived from the results of two repetitions of a first-order process. The extension of this iterative process for the solution of differential and integral equations is a development which is urgently required.


2000 ◽  
Vol 09 (01) ◽  
pp. 11-20 ◽  
Author(s):  
I. CRISTIANI ◽  
M. RINI ◽  
A. RAMPULLA ◽  
G. P. BANFI ◽  
V. DEGIORGIO

We describe a wavelength conversion experiment (generation of a pulse at the wavelength λp - Δλ from a signal at λp+Δλ under the action of a pump at λp) performed through cascaded second-order process in a lithium niobate channel waveguide. With a 58-mm-long Ti diffused channel waveguide, λp=1.1 μ m (the wavelength of phase matching for the first step of sh generation), Δλ of several nanometers and 20 ps pulse duration, wavelength conversion with unit efficiency is obtained with a pump pulse energy of the order of 102 pJ. The experimental results are successfully interpreted by making use of modal analysis and solving the appropriate nonlinear equations.


2016 ◽  
Vol 14 (12) ◽  
pp. 121902-121906 ◽  
Author(s):  
Ruma Debnath Ruma Debnath ◽  
Digvijay Singh Hada Digvijay Singh Hada ◽  
Susheel Kumar Beda Susheel Kumar Beda ◽  
and Ardhendu Saha and Ardhendu Saha

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