Theoretical Expressions for Widths and Level Shifts

The photofragment angular distribution can indicate the electronic symmetry of the predissociating state (Zare, 1972). 

Another possibility involves monitoring the light emitted by a specific electronically excited atomic dissociation product versus laser excitation frequency (Borrell, et al., 1977 Meiwes and Engelke, 1982). 

The vibrational energy of the continuum state is not quantized consequently, the vibrational wave functions for energies above the dissociation limit are labeled by the good quantum number, E. These continuum functions are energy-normalized, rather than space-normalized as are the bound vibrational wave-functions. 

The idea of energy normalization can be extended to levels in the discrete 

Fano s theory (1961) relates the width of a predissociated level to the interaction matrix element of Eq. (7.5.1). It can be shown that the discrete state amplitude, a(E), in the continuum eigenfunction, 

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