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Download Advances in Chemical Physics, Volume 13 by I. (editor) Prigogine PDF

By I. (editor) Prigogine

The Advances in Chemical Physics sequence offers the chemical physics and actual chemistry fields with a discussion board for severe, authoritative reviews of advances in each region of the self-discipline. full of state-of-the-art examine mentioned in a cohesive demeanour now not stumbled on in other places within the literature, every one quantity of the Advances in Chemical Physics sequence serves because the ideal complement to any complicated graduate classification dedicated to the examine of chemical physics.

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Presumably it is during the time that the system goes through this molecular region ( R ,w A) that the electronic wave function rearranges most violently and transitions among MO’s are most likely to occur. We now have a picture for charge exchange in the case of sudden collisions. As the colliding nuclei quickly pass R M A, the electrons do not have time to rearrange. They possess a 1 : 1 mixture of ground- and excited-state wave functions, just as in the resonant case. The amount of charge exchange in this situation < 50 WILLIAM LICHTEN will depend on the area between these curves, just as before, except that the integration must be cut off at R m 1,in order that we count only the effective interaction region.

In the Heisenberg representation, the wave function is : Y = [lug exp (-iegt) = Is, [exp ( -iegt) 2 - la, exp (-ie,t)]/Z/Z - exp ( -ie,t)l + 1% [exp ( --iegt) + exp ( --is,t)]. 44 WILLIAM LICHTEN The squares of the coefficients of Is, and Is, give the probabilities for the electron to be on center A or B, respectively: PA = sin2$( [ E ~ E&) (2) and P B = cos2 i([&u - &*It), which are just the equations for the well-known quanta1 resonant exchange. IV. EFFECT OF NUCLEAR MOTION So far, in this paper, we have not been realistic, as we have taken the nuclei t o be clamped at a separation R.

Press, Princeton, 1956. 4. K h h , T. von, Fundamental Equations in Aerothemchemistry. Selecied Combustion Problems, Vol. 11, Butterworths, London, 1956, pp. 167-184. 5. Eschenroeder, A. , Daiber, J. , Golian, T. , in High Temfierature Aspects of Hypersonic Flow, Pergamon Press, Oxford, 1963, Chapter 11. 6. Eschenroeder, A. , Boyer, D. W.. and Hall, J. , Physics of Fluids 6, 615 (1962). 7. Lin,S. , Neal, R. , and Fyfe, W. , Physics of Fluids 5, 1633 (1962). 8. Lin,S. , and Teare, J. , Physics of Fluids 6, 355 (1963).

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