The Role of Atomic Collisions In Fusion

Post, D.

doi:10.1007/978-1-4613-3545-0_2

Cited by 6 publications

(1 citation statement)

References 65 publications

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“…They can also be used as temperature and density diagnostics when they transfer electrons to excited states of the plasma ions, which then emit radiation [1,2]. Furthermore, impurity atoms can be sputtered or injected into fusion plasmas where they can exchange electrons with the plasma ions leading to particle transport and cooling by radiation emission [3]. In heavy-ion fusion, charge exchange plays a role in beam quality and composition [4].…”

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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