Electrons in condensed media

States of the electron in hydrocarbon liquids

“…A slightly modified version of this procedure has been suggested by Mozumder (1996) in view of the so-called quasi-ballistic model that allows finite momentum relaxation time in the quasi-free state in competition with trapping. With linear free-energy change with temperature fairly consistent values have been obtained for enthalpy and entropy changes for six to eight liquid hydrocarbons (Mozumder, 1996(Mozumder, , 2005. These results indicate a negative entropy change on trapping showing that the trapped state is somewhat more ordered than the quasi-free state.…”

“…In a recent publication (Mozumder, 2005) we have introduced a more powerful method based on the Metropolis rejection criterion (Metropolis et al, 1953). According to this, all inward jumps of the electron are allowed, however, the outward jumps are allowed with a probability of expðÀDV =k B TÞ, where DV is the increase of potential energy in the process and the unsuccessful jumps must be returned to their original position.…”

“…According to this, all inward jumps of the electron are allowed, however, the outward jumps are allowed with a probability of expðÀDV =k B TÞ, where DV is the increase of potential energy in the process and the unsuccessful jumps must be returned to their original position. Designating the mean free path as L, these considerations may be used to relate the recombination or escape probabilities at distances separated by L. Thus, the following equation was derived by Mozumder (2005):…”