Table 1 Impact of the target reactivity and proximity onto the reaction depth

From: Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control

r/R

region

κ′ = ∞

κ′ = 10

κ′ = 1

κ′ = 0.1

0.2

Hump-like

3.8

0.34

0.04

0.004

 

Plateau-like

59.4

62.9

63.2

63.2

 

Exponential tail

36.8

36.8

36.8

36.8

0.02

Hump-like

49.4

4.4

0.5

0.05

 

Plateau-like

20.0

58.8

62.7

63.15

 

Exponential tail

30.6

36.8

36.8

36.8

  1. Relative weights (in percents) of three characteristic regions of the reaction time density for ρ/R = 0.01: the hump-like region around the most probable reaction time tmp, extending from 0 till tc = 2(R−ρ)2/(π2D) (and thus merging two subregions discussed in the text: the exponential tail left to tmp and the power-law decay right to tmp); the plateau-like region stretching from tc to the mean reaction time tmean; and the exponential tail which persists beyond t = tmean. Two starting points r/R and four values of dimensionless reactivity κ′ = κR/D are used, corresponding to Fig. 1
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