Jaffe theory

An attempt to calculate the effect of an applied electric field on the free ion yield was made by Jaffe (1913), who treated the problem of ionization of a gas by a-particles. He assumed that the charge carrier pairs produced were initially in a dense column around the track of the particle. The density of positive and negative charge carriers at a distance r from the track is assumed to be given as 

No denotes the linear density of charges b is the radius of a Gaussian distribution, r is the distance from the track. 

With no applied electric field E, the concentration of positive or negative ions at any given distance x from the track becomes zero at infinite times. In other words, no escape takes place at zero field in contrast to the single ion pair, which represents a problem with spherical geometry, where a finite escape is observed (see Section 4.4). The solution of the diffusion equation is now introduced and a differential equation describing the temporal decay of the linear ion density is obtained  

C2 are constants. This result is suitable for extrapolation. Plotting 1/iion vs. 1/E should give a straight line and at 1/E = 0, G iis obtained. This extrapolation method has been used by a number of authors, and values were estimated much smaller than the corresponding value for the vapor phase. Mainly, the measurements were not carried out to sufficiently high field strengths. 

Extrapolation of the ionization current induced by y-irradiation of neopentane gave Gtot = 4, which agrees with the gas phase value (Schmidt, 1970). 

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These values are from Jaffe, H.H. Orchin, M. Theory and Applications of Ultraviolet Spectroscopy, Wiley NY, 1962, p. 257. 

Jaffe JE, Zunger A (1984) Theory of the band-gap anomaly in ABC2 chalcopyrite semiconductors. Phys Rev B. 29 1882-1906... 

C. Jaffe, D. Farrelly, and T. Uzer, Transition state theory without time-reversal symmetry chaotic ionization of the hydrogen atom, Phys. Rev. Lett. 84, 610 (2000). 

C. Jaffe, S. D. Ross, M. W. Eo, J. Marsden, D. Farrelly, andT. Uzer, Statistical theory of asteroid escape rates, Phys. Rev. Lett. 89, 011101 (2002). 

S. Kawai, A. D. Bandrauk, C. Jaffe, T. Bartsch, J. Palacian, and T. Uzer, Transition state theory for laser-driven reactions, J. Chem. Phys. 126, 164306 (2007). 

An early theory of ionic recombination in liquids was developed by Jaffe (1913) for application at a relatively high LET. However, in Jaffe s theory, coulombic interactions are ignored and the positive and negative ions are assigned the same mobilities and distribution functions. Therefore, its use in a... 

Price, D., Jaffe, J. und Robertson, G. E. Shock Sensitivity of Solid Explosives and Propellants, XXXVI. Int. Kongrefi f. Industrielle Chemie, Brussel 1966Lee, J. H., Knystautas, R. und Bach, G. G. Theory of Explosion, McGill University Press, Montreal 1969... 

H. H. Jaffe M. Orchin (1962) Theory and Application of Ultraviolet Spectroscopy, Wiley, New York. 

Jaffe, H. H. Studies in Molecular Orbital Theory of Valence. III. Multiple Bonds Involving d-Orbitals. J. physic. Chem. 58, 185—190 (1954). 

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