The interpretation of the p3/2 spectra of group III acceptors in silicon

The p3/2 energy levels of the hydrogen-like single acceptor in silicon are calculated down to 1.4 meV from the valence band using a non-variational method. The oscillator strength of the transitions from the ground state to the excited states are calculated using an acceptor-dependent ground state wavefunction. A comparison is made with new high-resolution experimental data for group III acceptors B, Al and In. It shows that few of the predicted transitions are not observed and that the relative intensities of the lines are in reasonable agreement with the oscillator strengths. This allows an unambiguous assignment of the lines to specific transitions when the observed peaks can be resolved into individual transitions, and this constitutes an improvement over the existing situation. The calculated values of the highly excited energy levels are very close to the observed ones, but small differences due to chemical shift are found for these highly excited states. Calibration coefficients for the acceptor concentrations can be derived from the oscillator strength calculations and they are compared with those determined experimentally. The most shallow effective mass excited states observed have binding energies of approximately 0.8 and 1.0 meV for B and Al respectively.

[1]  Sh. M. Kogan,et al.  The Electron Structure and Spectra of Shallow Non-Hydrogenlike Impurities in Semiconductors. II. Acceptors in Silicon , 1991 .

[2]  A. Baldereschi,et al.  Prediction of line intensities and interpretation of acceptor spectra in semiconductors , 1988 .

[3]  B. Pajot,et al.  Highly excited states of donor centres in silicon , 1985 .

[4]  Sh. M. Kogan,et al.  Intensities of the line and photoionization spectra of shallow nonhydrogenlike impurities in semiconductors , 1985 .

[5]  N. Sclar Asymmetries in photoconductive properties of donor and acceptor impurities in silicon , 1984 .

[6]  J. J. Rome,et al.  Additional structure in infrared excitation spectra of group-III acceptors in silicon , 1983 .

[7]  Richard J. Harris,et al.  Photoelectric Spectroscopy of Indium in Silicon. , 1982 .

[8]  A. Tardella,et al.  The infrared spectrum of indium in silicon revisited , 1982 .

[9]  A. K. Ramdas,et al.  REVIEW ARTICLE: Spectroscopy of the solid-state analogues of the hydrogen atom: donors and acceptors in semiconductors , 1981 .

[10]  Sh. M. Kogan,et al.  Sum rule for the intraband absorption and the oscillator strengths of the optical transitions in the shallow acceptor impurities in germanium , 1978 .

[11]  Joseph L. Schmit,et al.  Infrared excitation spectrum of thallium‐doped silicon , 1978 .

[12]  N. O. Lipari,et al.  Interpretation of acceptor spectra in semiconductors , 1978 .

[13]  M. Thewalt Even-parity acceptor excited states in Si from bound exciton two hole transitions , 1977 .

[14]  M. Gutzwiller Bernoulli sequences and trajectories in the anisotropic Kepler problem , 1977 .

[15]  M. S. Skolnick,et al.  Far infrared photoconductivity from majority and minority impurities in high purity Si and Ge , 1974 .

[16]  N. O. Lipari,et al.  Spherical Model of Shallow Acceptor States in Semiconductors , 1973 .

[17]  P. Lawaetz,et al.  Valence-Band Parameters in Cubic Semiconductors , 1971 .

[18]  N. O. Lipari,et al.  Angular Momentum Theory and Localized States in Solids. Investigation of Shallow Acceptor States in Semiconductors , 1970 .

[19]  A. Ramdas,et al.  Spectroscopic Investigation of Group-III Acceptor States in Silicon , 1967 .

[20]  E. Burstein,et al.  Absorption spectra of impurities in silicon—I: Group-III acceptors , 1956 .

[21]  M. Gutzwiller,et al.  The anisotropic Kepler problem in two dimensions , 1973 .

[22]  D. Schultz,et al.  Effective Mass Approximation for Acceptor States in Silicon , 1969 .