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Physical Chemistry 3: — Chemical Kinetics — - Christian-Albrechts ...

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1.2 Time scales for chemical reactions 4<br />

• Other fast electron transfer processes:<br />

<strong>—</strong> Autoionization of a doubly excited state, by one electron falling to a lower<br />

orbital, while the other is excited into the ionization continuum.<br />

• But “chemical” intra- and intermolecular − -transfer reactions are again slower:<br />

<strong>—</strong> The electron jump itself is very fast (≈ 10 −18 s,asabove).<br />

<strong>—</strong> However, in the Franck-Condon limit, the reactions usually require substantial<br />

molecular rearrangements due to the structural differences between the<br />

reactants and products (⇒ Marcus theory, Section 11.4). The net reaction<br />

rate is thus again limited by the time scale of vibrational motion.<br />

I<br />

Conclusions:<br />

• The time scales of chemical reactions span the enormous range of some 30 orders<br />

of magnitude, from 1fs=10 −15 s up to 10 9 y=10 16 s!<br />

• In view of this huge span, a factor-to-two experimental uncertainty in an experimental<br />

measurement or a theoretical prediction of a rate constant really means<br />

rather little.<br />

• The enormous range of reaction rates, their complex dependencies on temperature,<br />

pressure, and species concentrations, and the question of the underlying<br />

reaction mechanisms that determine the reaction rates, make the field of chemical<br />

reaction kinetics and dynamics very attractive and rewarding!

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