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Fine structure of P excitons in CuBr
Author(s) -
Mattausch H. J.,
Uihlein Ch.
Publication year - 1979
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220960118
Subject(s) - exciton , multiplet , binding energy , valence (chemistry) , rydberg formula , excited state , atomic physics , reduced mass , chemistry , angular momentum , physics , molecular physics , condensed matter physics , ion , spectral line , quantum mechanics , ionization
A multiplet structure of the 2P, 3P, and 4P exciton of the Z 1,2 ‐series is observed in the two‐photon absorption spectrum of CuBr. It is shown that the P‐exciton fine structure results from a coupling between the angular momentum of the P exciton and the hole quasi‐spin associated with the Γ 8 valence band. For the first time the energies of higher excited P excitons (3P) are compared with the theory of Baldereschi and Lipari. Therefore, the binding energies of the 3P excitons for a representative set of parameters μ and δ is calculated. Numerical calculations are performed using the “finite‐element method” (FEM). From the energy positions of nine excitons the effective Rydberg, the gap, and the parameters μ and δ of CuBr are determined with high accuracy. These data and the static dielectric constant are used to evaluate the reduced mass parameter γ 1 and the Γ 8 valence band parameters γ 2 and γ 3 . The 3P exciton wave functions, calculated also with the FEM, are shown in addition.