LZ formula

First, we have applied the ZN formulas to the DHj system to confirm that the method works well in comparison with the exact quantum mechanical numerical solutions [50]. Importance of the classically forbidden transitions has been clearly demonstrated. The LZ formula gives a bit too small results 

Figure 2. Total cumulative charge-transfer probabilities for H2 + D" " — Hj + D. Dashed line exact quantum mechanical numerical solution. Solid line TSH results with use of the Zhu-Nakamura formulas. Dash-dot line TSH results with use of the LZ formula. Taken from Ref. [50].

ET rate via electronic coupling for a multi-dimensional system in the Marcus inverted regime, (a) pEa—6.7, (b) pSa = 10.0, and (c) pEa = 20.0. Ea represents the minimum energy on the seam surface. Solid line present result dashed line the results predicted from the LZ formula dotted line results from perturbation theory. 

Reddington et al. (1973) performed a numerical solution of the time dependent coupled equations for K + I in the energy range 20-100 eV. He reproduced all features which we discussed in the previous section. Risking some monotony, we cite here their conclusion that the simple LZ-formula accounts well for the numerically computed transition probabilities. 

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