X-ray diffraction peak profiles from threading dislocations in GaN epitaxial films

We analyze the line shape of x-ray diffraction profiles of GaN epitaxial layers with large densities of randomly distributed threading dislocations. The peaks are Gaussian only in the central, most intense part of the peak, while the tails obey a power law. The q{sup -3} decay typical for random dislocations is observed in the rocking curves with open detector. The entire profile is well fitted by a restricted random dislocation distribution. The densities of both edge and screw threading dislocations and the ranges of dislocation correlations are obtained.

[1]  H. A. Levy,et al.  ANGLE CALCULATIONS FOR 3- AND 4-CIRCLE X-RAY AND NEUTRON DIFFRACTOMETERS. , 1967 .

[2]  J. Gubicza,et al.  Crystallite size distribution and dislocation structure determined by diffraction profile analysis: principles and practical application to cubic and hexagonal crystals , 2001 .

[3]  B. Warren,et al.  The Separation of Cold‐Work Distortion and Particle Size Broadening in X‐Ray Patterns , 1952 .

[4]  R. N. Kyutt,et al.  Bragg and Laue x-ray diffraction study of dislocations in thick hydride vapor phase epitaxy GaN films , 2000 .

[5]  S. Denbaars,et al.  Determination of the cubic to hexagonal fraction in GaN nucleation layers using grazing incidence x-ray scattering , 1998 .

[6]  K. Ploog,et al.  MnAs nanoclusters embedded in GaAs studied by x-ray diffuse and coherent scattering , 2003 .

[7]  D. Thouless,et al.  Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory) , 1972 .

[8]  S. Einfeldt,et al.  Microstructure of heteroepitaxial GaN revealed by x-ray diffraction , 2003 .

[9]  John E. Ayers,et al.  The measurement of threading dislocation densities in semiconductor crystals by X-ray diffraction , 1994 .

[10]  G. Tichy,et al.  The effect of dislocation contrast on X-Ray line profiles in untextured polycrystals , 1999 .

[11]  R. Köhler,et al.  X-ray diffraction peaks due to misfit dislocations in heteroepitaxial structures , 1997 .

[12]  D. Balzar,et al.  Voigt-function modeling in Fourier analysis of size- and strain-broadened X-ray diffraction peaks , 1993 .

[13]  D. Thouless,et al.  Ordering, metastability and phase transitions in two-dimensional systems , 1973 .

[14]  J. Bläsing,et al.  Determination of the azimuthal orientational spread of GaN films by x-ray diffraction , 2002 .

[15]  O. Brandt,et al.  Critical issues for the growth of high-quality (Al,Ga)N/GaN and GaN/(In,Ga)N heterostructures on SiC(0001) by molecular-beam epitaxy , 1999 .

[16]  Atomic arrangement at the AlN/Si (111) interface , 2003 .

[17]  A. Borbély,et al.  Variance method for the evaluation of particle size and dislocation density from x-ray Bragg peaks , 2001 .

[18]  D. Clarke,et al.  MOSAIC STRUCTURE IN EPITAXIAL THIN FILMS HAVING LARGE LATTICE MISMATCH , 1997 .

[19]  F. Székely,et al.  Analysis of the asymptotic properties of X-ray line broadening caused by dislocations , 2000 .

[20]  E. J. Mittemeijer,et al.  The determination of crystallite-size and lattice-strain parameters in conjunction with the profile-refinement method for the determination of crystal structures , 1983 .

[21]  I. Groma X-RAY LINE BROADENING DUE TO AN INHOMOGENEOUS DISLOCATION DISTRIBUTION , 1998 .

[22]  Davor Balzar,et al.  Profile fitting of X‐ray diffraction lines and Fourier analysis of broadening , 1992 .

[23]  B. Warren,et al.  The Effect of Cold‐Work Distortion on X‐Ray Patterns , 1950 .

[24]  Oliver Ambacher,et al.  Defect structure of epitaxial GaN films determined by transmission electron microscopy and triple-axis X-ray diffractometry , 1998 .

[25]  G. K. Williamson,et al.  X-ray line broadening from filed aluminium and wolfram , 1953 .

[26]  M. Wilkens The determination of density and distribution of dislocations in deformed single crystals from broadened X‐ray diffraction profiles , 1970 .

[27]  M. Wilkens Über die Röntgenstreuung an Kristallen mit Versetzungen III. Die asymptotische Darstellung von Debye-Scherrer-Linienprofilen , 1963 .

[28]  Sven Einfeldt,et al.  X-ray diffraction analysis of the defect structure in epitaxial GaN , 2000 .

[29]  C. G Dunn,et al.  Comparison of dislocation densities of primary and secondary recrystallization grains of Si-Fe , 1957 .

[30]  M. Wilkens Das mittlere Spannungsquadrat 〈σ2〉 begrenzt regellos verteilter Versetzungen in einem zylinderförmigen Körper , 1969 .

[31]  B. Averbach,et al.  X-ray measurements of dislocation density in deformed Copper and Aluminum single crystals , 1961 .

[32]  John Arthur Simmons,et al.  FUNDAMENTAL ASPECTS OF DISLOCATION THEORY. VOLUME II. Conference Held at Gaithersburg, Maryland, April 21--25, 1969. , 1970 .

[33]  R. Young,et al.  Profile shape functions in Rietveld refinements , 1982 .

[34]  Tamás Ungár,et al.  The effect of dislocation contrast on x‐ray line broadening: A new approach to line profile analysis , 1996 .