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Abstract
III-Nitride bandgap and refractive index data are of direct relevance for the design of (In, Ga, Al)N-based photonic and electronic devices. The bandgaps and bandgap bowing parameters of III-nitrides across the full composition range are reviewed with a special emphasis on InxAl1−xN, where less consensus was reached in the literature previously. Considering the available InAlN data, including those recently reported for low indium contents, empirical formulae for InAlN bandgap and bandgap bowing parameter are proposed. Applying the generalised bandgap data, the refractive index dispersion data available in the literature for III-N alloys is fitted using the Adachi model. For this purpose, a formalism involving a parabolic dependence of the Adachi parameters on the dimensionless bandgap {xi }_{{E}_{mathrm{g}}}=left({E}_{mathrm{g}, {mathrm{A}}_{x}{mathrm{B}}_{1-x}mathrm{N}}-{E}_{mathrm{g},mathrm{ BN}}right)/left({E}_{mathrm{g}, mathrm{AN}}-{E}_{mathrm{g},mathrm{ BN}}right) of the corresponding ternary alloys is used rather than one directly invoking the alloy composition.
Highlights
Applying the generalised bandgap data, the refractive index dispersion data available in the literature for III-N alloys is fitted using the Adachi model
We propose the following procedure to obtain an appropriate best estimate of the III-N refractive index for model purposes
The best estimate bandgaps of the compound alloys are considered including those for InAlN reported here. It was determined from the direct analysis of previously published experimental data on refractive index dispersion of III-N ternary alloys that the fitting parameters of the Adachi expression cannot be interpolated linearly between those for corresponding binaries and that bowing is to be introduced
Summary
Applying the generalised bandgap data, the refractive index dispersion data available in the literature for III-N alloys is fitted using the Adachi model. The InAlN bandgap data reported here, and such data for AlGaN and InGaN from the literature are used to make estimates of refractive index dispersion for III-N ternary alloys using the Adachi m odel[6].
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