Theoretical Bakground to Isotopic Exchange Reactons

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In order to demonstrate how measurements of radioactive nuclide isotopic exchange can provide an evaluation of the total reaction rate, it is necessary to analyze the process quantitatively. Consider an exchange reaction involving the interchange of a common atom X between the compounds AX and BX where some of the X-atoms in the compound BX is the tagged X*. The overall reaction is:

AX+BX* ⇄ AX* + BX Eqn. 1


Let r be the rate of exchange of all X-atoms between AX and BX (not just exchange of X*). The dimension is mol/Ls. Further, let the total concentration of AX and BX be [AX]T and [BX]T. Thus: