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Extra info for Organic Electronics: Materials, Manufacturing, and Applications
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2 Overview of the Organic Thin-ﬁlm Transistor Let d be the thickness of a monolayer and n the total number of layers (that is, the thickness of the ﬁlm divided by d). The layers are numbered starting from the insulator–semiconductor interface. To estimate the density ni (per unit area) of charge-carriers in the ith layer we apply Gauss’s law to a cylinder of unit cross section limited by the boundaries between the ith layer and each of its neighboring layers. For a long channel device, the electric ﬁeld F is perpendicular to the ﬁlm, and we have: FiÀ1 À Fi ¼ À qni es ð6Þ where Fi is the module of the electric ﬁeld at the boundary between the ith and the ði þ 1Þth layers.