Date of Award


Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Reid, Scott

Second Advisor

Hossenlopp, Jeanne

Third Advisor

Sem, Daniel


Nernst-Planck equations coupled to Poisson's equation form the Poisson-Nernst-Planck theory. The electrodiffusion theory has been applied to transport in ionic solutions (1900's), in semiconductor device modeling (1950's) or plasma physics. Modeling ionic current through protein channels appears attractive and plausible in actual conditions. A fully self-consistent solution of the coupled PNP equations for three dimensional (3D) systems was applied to a large channel, a-HL. Preliminary results obtained demonstrate the applicability of PNP theory to model the current thru a-HL. Experiments on HCF using polarization quantum beat spectroscopy in combination with fluorescence excitation spectroscopy and lifetime measurements detailed the II band (Ka = 1 - 0), sub-band of (0, 4, 0) in the A1 A" - X 1 A' systems as resulting from Renner-Teller (RT) effect and spin-orbit mixing. In second part of this work we intend to determine the dependence of calculated hyperfine constant on method and basis set used, and calculations of anisotropic hyperfine constants for the triplet state for HCF and other small biradicals.