The impedance spectra for Bi(111), Bi(001) and Bi(01 (1) over bar) single crystal planes in 0.1 M LiClO4 solution in ethanol have been measured. It was found that reproducible experimental data for these electrodes in ethanol solutions could be obtained in the range of ac frequencies between 0.1 and 10 000 Hz. The measurements indicated that the Bi single crystal planes in 0.1 M LiCLO4 solution in ethanol could be regarded as an ideally polarisable electrode in the region of potentials -1.6 < E < -0.05 V (vs. aqueous SCE). Outside of this potential region the occurrence of Faradaic processes was detected. By fitting the experimental data to various equivalent circuits (EC) it was found that the Frumkin-Melik-Gaikazyan model yielded the best fit. Using this model the dependencies of 'true' and adsorption capacitance and diffusion resistance on electrode potential have been obtained. The values of parameters revealed no significant differences between various Bi planes. It was proposed that the dependence of these parameters on electrode potential was mainly determined by the different sizes of ions and polarisation of solvent molecules. The parameters also indicate the weak adsorption of ClO4- ions at positive electrode potentials.