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3
2
0
a
1
DISTANCE FROM CENTER
Fig. 3.17 Same as in Fig. 3.13 . Energy is always positive, E > 0, but the ion reaches the particle
surface if E exceeds the threshold energy. Then the ions with L<L.r / reach the particle surface
It is of interest to have the solution corresponding to the ion sticking .E/
depending on the ion energy.
B s .E;L;R/ D C.R/e ˇ.EU.R// .E U.R//
Œ .L L a / C .E/ı s;1 .L a L/ CN .E/ı s;1 .L a L/;
where
.E/ CN .E/ D 1
For example, we can put .E/ D .E E t /, with E t being a threshold energy.
Then all collisions with the ion energies exceeding E t will be ineffective. If E t D 0,
the ion capture goes only from bound states of the potential well. This solution
allows us to find the efficiency of the ion recombination.
 
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