2003
DOI: 10.1063/1.1613371
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Interpolating semiconductor alloy parameters: Application to quaternary III–V band gaps

Abstract: We present a rationalized biquadratic interpolation algorithm for calculating quaternary semiconductor parameters and apply it to determine the band gaps of AlGaInAs, AlGaInP, AlInAsSb, GaInPAs, and GaInAsSb over complete compositional ranges. Extension to include bicubic corrections and quinary alloys are discussed. The band gaps of lattice-matched AlGaInAsSb and AlGaInPAs are reported.

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Cited by 66 publications
(37 citation statements)
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“…Gain parameters used in calculations were estimated from their values for binaries given in [11,15,16] using interpolation formulas (14) and (15) and bowing parameters taken from [11,15]. Only two exceptions from this procedure were introduced in order to give better agreement with experimental results in the case of GaInNAs energy gap and electron effective mass.…”
Section: Comparative Analysis Of Gaas-and Gasb-based Active Regions Ementioning
confidence: 99%
See 1 more Smart Citation
“…Gain parameters used in calculations were estimated from their values for binaries given in [11,15,16] using interpolation formulas (14) and (15) and bowing parameters taken from [11,15]. Only two exceptions from this procedure were introduced in order to give better agreement with experimental results in the case of GaInNAs energy gap and electron effective mass.…”
Section: Comparative Analysis Of Gaas-and Gasb-based Active Regions Ementioning
confidence: 99%
“…To calculate the above parameters for active region materials (A x B 1−x C y D 1−y or A x B y C z D) the nonlinear interpolation schemes [14] using the binary values B [15,16] for III-V materials and bowing parameters C [15] have been used:…”
Section: Comparative Analysis Of Gaas-and Gasb-based Active Regions Ementioning
confidence: 99%
“…This is because, examination of multivariable interpolation formulae shows that all these approaches to III-V quaternary alloy interpolation are arbitrary due to an undetermined multiquadratic term [18].Therefore, a rational approach was developed by Donati to model the compositional dependence of quaternary alloy bandgap using standard multivariable quadratic interpolation [19], in which the biquadratic relationship between quaternary bandgap and binaries can be compacted into a product whose 3x3 matrix includes the alloy parameters. The formula becomes…”
Section: Design Of the Quantum Wellsmentioning
confidence: 99%
“…Data for binary materials and ternary alloys used in these calculations were taken from review [19]. The quaternary alloy band gaps were calculated using biquadratic interpolation algorithm [20]. Fig.…”
Section: Modelingmentioning
confidence: 99%