2002
DOI: 10.1088/0022-3727/35/7/301
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Determination of strain state and composition of highly mismatched group-III nitride heterostructures by x-ray diffraction

Abstract: We present an accurate model for the dynamical x-ray diffraction analysis of highly mismatched materials systems. Our approach features an exact incidence parameter as well as an exact calculation of the changes of Bragg angle and lattice plane inclination due to strain. We show that the commonly used approximations for these parameters are, in general, unable to describe diffraction profiles of different reflections consistently, and utterly fail for a strain on the order of 1% or more. The model as presented… Show more

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Cited by 95 publications
(65 citation statements)
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“…In order to confirm this assignment a simulation using the kinematic scattering is also shown in Fig. 2 (lower full curve) [6]. The widths used in the calculation are 5 nm for the GaN well and 10 nm for the Al 0.25 Ga 0.75 N barrier, which is in excellent agreement with the targeted growth values.…”
supporting
confidence: 66%
“…In order to confirm this assignment a simulation using the kinematic scattering is also shown in Fig. 2 (lower full curve) [6]. The widths used in the calculation are 5 nm for the GaN well and 10 nm for the Al 0.25 Ga 0.75 N barrier, which is in excellent agreement with the targeted growth values.…”
supporting
confidence: 66%
“…Using the known sapphire lattice constants, a = 4.7588 Å and c = 12.992 Å, the in-plane ͑a͒ and out-of-plane ͑c͒ hexagonal cell dimensions of the AlGaN layers were calculated from their respective values of and measured on the RSMs, allowing us to independently determine the Al composition and strain state of the films by using standard x-ray analysis. The degree of relaxation R =1−͑ meas / coh ͒ was used as a measure of the strain state of the epilayer, 16 where coh is the elastic strain in the fully coherent epitaxial layer ͑ coh is equal in magnitude to the crystal mismatch m between the AlGaN layers͒ and meas was the elastic strain value determined from the RSM analysis of the upper epilayer. The strain determined from the XRD data, meas , was the elastic strain affecting the layer, and it was given by meas = coh − pl , where pl stands for the relaxed strain due to plastic deformation.…”
Section: Resultsmentioning
confidence: 99%
“…The experimental results were simulated using the dynamical x-ray diffraction model reported in Ref. 22.…”
Section: Experiments and Methodsmentioning
confidence: 99%