| The experimental determination of the magnitude and phase of the transition dipole matrix elements (t-matrix elements) provides a wealth of information to the dynamicist. Experimental determination of the t-matrix provides the ab-initio theoretician with a molecule specific, model independent, experimental benchmark to test his electronic structure calculations. In addition, knowledge of the t-matrix allows the determination of every scalar and vector correlation of a unimolecular photodissociation reaction.; The vector correlations of photo-reactions are one of the primary tools the photodissociation dynamicist has to understand the dynamics of a photoreaction. However, the most informative of the vector correlations entail the difficult measurement of state-selected, angle resolved, photofragment cross sections. The purpose of this work is to provide an alternative set of measurements. Rather than difficult angle resolved measurements, this work will provide the necessary angle independent measurements that will allow the full specification of the t-matrix for the one photon dissociation of any parent molecule. Once the t-matrix has been specified, it can be used to determine any of the other vector or scalar correlations of the photo-reaction. This work will also demonstrate that if t-matrix is to be determined with angle independent measurements, the parent molecule must be M-state selected or polarized. Since the polarization of the parent molecule may be time dependent on the scale of the experiments, the time dependent treatment will also be shown. Lastly, an example calculation for the photodissociation of LiH will be provided to illustrate the use of the various ideas. |
