Summary: | Induced tribo-charge density (σ) is calculated quantum mechanically by the charge transfer between a metal and a polymer using a transition matrix element, |MAB|. The electron transfer process is described based on the assumption that the acceptor density of states (DOS) of the polymer does not change significantly. As electron transfer is dominant around the Fermi energy level (EF) between two materials, for a small d (distance between two materials), σ is approximately calculated using |MAB|, which contains quantum mechanical information, including the transition rate. The analytical results show that σ is proportional to: (i) the DOS of the polymer at EF, and (ii) the log of the difference in the work function between the two materials. Keywords: Tribo-charge density, Transition matrix element, Fermi-level energy, Density of states
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