Optical Selection Rules for Hexagonal GaN

Optical study of the band structure of wurtzite GaP nanowires

“…1(e)). 21 The wavevector dependence of the transition matrix elements of the A-B-C transitions in WZ GaP is shown in Figs. 1 20 where a non-zero transition matrix element at the C-point is observed only for the A transition.…”

“…2(a) and in the high-resolution transmission electron micrograph (HRTEM) 20 (e) Selection rules (k ¼ 0) for the optical transitions with C 8c . 21 The energy values for the A-B-C transitions are estimated from DFT LDA-1/2 calculations. image in supplementary material, Fig.…”

Charge carrier generation, relaxation, and recombination in polytypic GaAs nanowires studied by photoluminescence excitation spectroscopy

“…11) or a C 7 c symmetry 37 for the lowest-energy conduction band of WZ GaAs. Although both the transitions from C 7 c and C 8 c to the heavy-hole valence band C 9 v are allowed for light polarized perpendicular to the wire axis, 38 in practice the oscillator strength of the C 8 c ! C 9 v transition is almost zero.…”

Symmetry and optical properties of wurtzite nanostructures with the c axis in the layer plane

“…In photoluminescence experiments of ZnO layers, the A and B excitons, in polarization perpendicular to the c-axis, and the C exciton, in polarization parallel to the c-axis, have been put into evidence (the notations A, B, and C for excitons refer to the widely-used ones in bulk wurtzite materials). Therefore, do appear in the spectra only the transitions that are fully allowed i. e., allowed even when the SOI is not taken into account [16]. Note that, when the SOI is taken into account, there exist B and C excitons with the 1 and 6 symmetry, respectively (in our notations 5 and 6 IRs are exchanged in comparison with notations formely used for II-VI wurtzite materials).…”

“…[15]. Note that when the spin-orbit interaction (SOI) is not taken into account the symmetries of the lower conduction band and of the upper valence bands (they are only two) are described by the 1 , 6 , and 1 single-valued IRs of the C 4 6v space group, respectively [16]. Taking into account the SOI, the 1 IR transforms into 7 whereas 6 splits into 7 + 9 .…”