Space charge flat-band region

Occasionally, the impedance spectra of diamond electrodes are well described by the Randles equivalent circuit with a frequency-independent capacitance (in the 1 to 105 Hz range) [66], Shown in Fig. 11 is the potential dependence of the reciprocal of capacitance squared, a well-known Mott-Schottky plot. Physically, the plot reflects the potential dependence of the space charge region thickness in a semiconductor [6], The intercept on the potential axis is the flat-band potential E whereas the slope of the line gives the uncompensated acceptor concentration NA - Nd in what follows, we shall for brevity denote it as Na ... 

Fig. 3.18 Types of space-charge region in an n-type semiconductor, dependent on the potential applied relative to the flat band potential, Un,. U represents potential (V) and Ec sur the electronic energy corresponding to Ec close to the surface, (a) c,sur = E no space-charge region (b) c,sur> E (U < U ) formation of an accumulation layer (c) c,sur formation of a depletion layer (d) c,sur efb (U U ) formation of an inversion layer.

The properties of the semiconductor/electrolyte contact are illustrated in Fig. 2(a) for an n-type semiconductor. The space-charge region develops as the potential is made more positive than the flat-band potential and its width, W, is given by the expression... 

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