Donor-Acceptor One Step Energy Transfer Via Exchange Coupling on a Fractal Lattice.
Interim technical rept.,
CALIFORNIA UNIV LOS ANGELES DEPT OF CHEMISTRY AND BIOCHEMISTRY
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Temporal behavior of donor intensity, I sub D t, resulting from one step donor-acceptor electronic excitation energy transfer process via exchange mechanism is calculated on fractal lattices, with discrete dilation symmetry, of Euclidear dimension, d 2, and fractal dimension, D, ranging from 1.99 to 1.0. I sub D t is fitted to the approximate equation of Klafter-Blumen K-B which is useful in fitting experimental results to determine fractal dimension from the slope of the expected straight line obtained by plotting 1n-1n I sub d t, vs. 1n l sub D t. The result for fractal lattice with D 1.99 indicates that the approximation is appropriate for the time range used in our calculations. The results for different fractal lattices also show that the K-B equation indeed gives a straight line for structure when Dd is not much smaller than unity. As this ratio decreases, deviation from the expected straight line results and an oscillatory behavior is observed. From the oscillatory characteristics, structural information i.e., fractal dimensionality, and geometrical parameters characterizing the fractal lattices as well as the molecular interaction parameter gamma, characterizing the distance dependence of the exchange interaction, can be determined.
- Solid State Physics