Semiempirical Formulae for Inelastic Atomic and Molecular Collisions

Imai, Makoto

doi:10.1007/978-3-642-25569-4_17

Cited by 2 publications

(1 citation statement)

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“…Furthermore, we limit the charge range on our scaling law to ions with positive charge less than 8, mostly due to a lack of experimental data at high charge, but also because scaling laws and theories for highly charged ions have been explored in depth [9,[15][16][17][18][19]. We also do not consider reactions in which A B q , 1 = = .…”

Section: Introductionmentioning

confidence: 99%

Semi-empirical scaling for ion–atom single charge exchange cross sections in the intermediate velocity regime

Friedman

DuCharme

2017

J. Phys. B: At. Mol. Opt. Phys.

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We present a semi-empirical scaling law for non-resonant ion-atom single charge exchange cross sections for collisions with velocities from 10 to 10 cm s 7 9 1and ions with positive charge q 8 < . Non-resonant cross sections tend to have a velocity peak at collision velocities v 1 au  with exponential decay around this peak. We construct a scaling formula for the location of this peak then choose a functional form for the cross section curve and scale it. The velocity at which the cross section peaks, v m , is proportional to the energy defect of the collision, E D , which we predict with the decay approximation. The value of the cross section maximum is proportional to the charge state q, inversely proportional to the target ionization energy I T , and inversely proportional to v m . For the shape of the cross section curve, we use a function that decays exponentially asymptotically at high and low velocities. We scale this function with parameters v I Z Z , , , and m T T P , where the Z T,P are the target and projectile atomic numbers. For the more than 100 cross section curves that we use to find the scaling rules, the scaling law predicts cross sections within a little over a factor of 2 on average.

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