Extremely weak surface emission from (0001) c -plane AlGaN multiple quantum well structure in deep-ultraviolet spectral region Valence-band splitting and band-gap reduction in ordered GaInAs/InPThe valence band order of polar wurtzite aluminum gallium nitride (AlGaN) layers is analyzed for a dense series of samples, grown heteroepitaxially on sapphire substrates, covering the complete composition range. The excitonic transition energies, found by temperature dependent photoluminescence (PL) spectroscopy, were corrected to the unstrained state using input from X-ray diffraction. k Á p theory yields a critical relative aluminum concentration x c ¼ ð0:0960:05Þ for the crossing of the uppermost two valence bands for strain free material, shifting to higher values for compressively strained samples, as supported by polarization dependent PL. The analysis of the strain dependent valence band crossing reconciles the findings of other research groups, where sample strain was neglected. We found a bowing for the energy band gap to the valence band with C 9 symmetry of b C 9 ¼ 0:85eV, and propose a possible bowing for the crystal field energy of b cf ¼ À0:12eV. A comparison of the light extraction efficiency perpendicular and parallel to the c axis of Al x Ga 1Àx N=Al y Ga 1Ày N quantum well structures is discussed for different compositions. V C 2014 AIP Publishing LLC. [http://dx.