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

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5.4 Advanced collision theory 117<br />

I<br />

Figure 5.13: Derivation of the fundamental equation.<br />

5.4.2 Crossed molecular beam experiments<br />

I Differential and integral reactive cross sections: Experiments with crossed molecular<br />

beams allow us to measure differential and integral reactive cross sections<br />

(Herschbach 1987, Lee 1987).<br />

We consider the reaction<br />

( )+ ( ) −→ ( )+ ( ) (5.144)<br />

where denotes the speeds of the molecules and stands for the quantum numbers<br />

of their energy states (electronic, vibrational, rotational, nuclear spin). In an ideal<br />

experiment (which has yet to be performed), all of the reactants are defined by, e.g.,<br />

a specific excitation using laser, and the of the products are determined by some<br />

probe laser. The can be determined in a molecular beam experiment using a rotating<br />

disk velocity selector (see Fig. 5.14).

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