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Electron Ionization

A common ionization method where a beam of electrons bombards the sample molecules, creating ions through electron impact.
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The statement of the theorem

Define the ionization process I\mathcal{I} for a neutral molecule MM subjected to an electron beam with energy EeE_{e^-}. The resulting ion M+M^{+\bullet} is formed via collision: \nM+e(Ee)M++2e+EkinM + e^- (E_{e^-}) \rightarrow M^{+\bullet} + 2e^- + E_{kin} \nAssuming the ionization potential IPIP is the minimum energy required, the excess kinetic energy EexcessE_{excess} of the resulting ion is given by the energy conservation principle: \nEexcess=EeIPE_{excess} = E_{e^-} - IP \nIf the collision is modeled by a scattering cross-section σcoll\sigma_{coll}, the ion current IionI_{ion} is proportional to the electron flux Φe\Phi_{e^-} and the cross-section: \nIionΦeσcoll(Ee)I_{ion} \propto \Phi_{e^-} \cdot \sigma_{coll}(E_{e^-})
Source: Wikipedia