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

By I. (editor) Prigogine

The Advances in Chemical Physics sequence presents the chemical physics and actual chemistry fields with a discussion board for severe, authoritative reviews of advances in each zone of the self-discipline. full of state of the art examine suggested in a cohesive demeanour now not came across somewhere else within the literature, every one quantity of the Advances in Chemical Physics sequence serves because the excellent complement to any complex graduate classification dedicated to the examine of chemical physics.


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U. u. u. u. 2 ev. 53 A. 18 x lo8 cmlsec. 42 x lo-l'sec. u. In atomic units, the Bohr frequency relation is simply E = w . 1 Fig. 1. 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.

The most striking results occur at higher energy and large angles of deflection. In classical orbit theory, these collisions have impact parameters and distance of closest approach to the nuclei which are small compared with atomic dimensions. For fixed scattering angle, probability of the electron capture, plotted against reciprocal ion velocity, shows oscillations that are similar to the simple picture of charge exchange just discussed (see Fig. 2). 1 Fig. 2. r RESONANT CHARGE EXCHANGE 45 A simple impact parameter treatment, in which we treat the nuclear motion classically, reveals why.

REACTION KINETICS IN HYPERSONIC FLOWS 23 The constitutive laws relate quantities of the thermodynamic state: (5) P = p h T 2 (cj/mj)J and the caloric state: 1 h = 2 cjhj, J (6) where mj is the molecular weight of the j’th species and hj is the enthalpy of the j’th species, including energy of formation. Other constitutive equations deal with the transport and production terms on the right-hand sides of the conservation laws. For high-temperature gas dynamics we usually use a temperaturedependent transport coefficient relating the flux and the gradient of a quantity.

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