For bulk semiconductors the analysis of the reflection spectra near the plasma resonance presents an approved method for obtaining N / d and z (N is the carrier density, m* the relative effective mass, and T the relaxation time) (2 to 4). For that it i s necessary to know the relative dielectric constant c the absence of any contribution from free carriers.of the medium in
LIn the present paper we want to demonstrate this volume effect even in very thin films of heavily doped Ge. An analysis of the reflection spectra along with measurements of the Hall effect and resistivity anable us to obtain m* and c L these films. E measurements of undoped Ge thin films at the wavelengths 2 . = 2.5 pm (5) or h = 2.0 pm (6), respectively. of should differ from that of bulk Ge in accordance to refractive index L Films were prepared by evaporation of intrinsic germanium on glass substrates (substrate temperature 350 OC) at a rate of 380 g/s and a pressure of Such germanium films a r e polycrystalline and indicate p-type conduction (7, 8) with a high concentration of acceptors introduced into the film by grain boundaries mainly influencing the total mobility (8). Since these acceptors a r e placed only at the grain boundaries but a r e not distributed homogeneously in the sample, the films were doped additionally by aluminum in order to reach much higher and homogeneous p-concentrations. The doping was carried out by evaporating aluminum by a second, separate adjustable source, simultaneously to the evaporation of germanium. Thus, a constant carrier concentration (independent of the film thickness, too) was obtained. sistivity in dependence on the lattice temperature of a heavily doped Ge film (see Table 1, sample 2) of a thickness of only 380 2. While the carrier concentration 1) This paper was presented in April 1974 at the Spring Conference of the DPG, Freudenstadt (1).