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We present the weighted-sum expression of quaternary parameter estimations via balancing surface bowing estimation errors. Expressions have been derived for both quaternary alloys AxByCzD and AxB1−xCyD1−y and applied to the band gaps of AlGaInAs, AlGaInP, InAsPSb, GaInAsP, and GaInAsSb. Approximation can be improved by fitting known data of quaternary alloys and maximum deviations are less than 20meV with respect to the lattice-matched polynomial expressions.
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Ting Mei (2007) studied this question.
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