Resolution of X-Ray Rocking Curve Measurements Made with Finite Counting Statistics

2015 ◽  
Vol 24 (03n04) ◽  
pp. 1550007 ◽  
Author(s):  
Tedi Kujofsa ◽  
John E. Ayers
Keyword(s):  
Peak Position ◽  
Bragg Angle ◽  
Full Width ◽  
Half Maximum ◽  
Peak Width ◽  
Effective Number ◽  
Rocking Curve ◽  
X Ray ◽  
Experimental Resolution ◽  
Counting Statistics

We have analyzed the strain resolution of x-ray rocking curve profiles from measurements of the peak position and peak width made with finite counting statistics. In this work, we have considered x-ray rocking curves which may be Gaussian or Lorentzian in character and have analyzed the influence of the effective number of counts, full-width-at-half-maximum (FWHM) and the Bragg angle on the resolution. Often experimental resolution values are estimated on the order of 10−5 whereas this work predicts more sensitive values (10−9) with smaller FWHM and larger effective counts and Bragg angles.

Accuracy and Reproducibility of X-ray Texture Measurements on Thin Films

2002 ◽  
Vol 721 ◽  
Author(s):  
Mark D. Vaudin ◽  
Glen R. Fox ◽  
Glen R. Kowach
Keyword(s):  
Thin Film ◽  
Thin Films ◽  
Zinc Oxide ◽  
Full Width ◽  
Half Maximum ◽  
Rocking Curve ◽  
X Ray ◽  
Area Detector ◽  
Geometric Factors ◽  
Pt Films

AbstractRocking curve texture measurements were made on thin films of zinc oxide (ZnO) and platinum (Pt) using a powder x-ray diffractometer, and, in the case of ZnO, an area detector. The intensity corrections for defocussing and other geometric factors were made using a technique and associated software (Texture Plus*) developed at NIST. In both thin film systems, the texture was axisymmetric (fiber) and sharp, with full width at half maximum values of about 2.5°. Care was taken in the Pt case to ensure that the linear range of the x-ray detector was used to measure the intensities; for the ZnO data the degree of detector non-linearity was determined, and corrections were applied where necessary. The suitability of the Pt films for thin film texture standards was studied.

Domain structure of epitaxial PbTiO3 films grown on vicinal (001) SrTiO3

1997 ◽  
Vol 12 (5) ◽  
pp. 1297-1305 ◽  
Author(s):  
C. D. Theis ◽  
D. G. Schlom
Keyword(s):  
Diffraction Analysis ◽  
Pulsed Laser Deposition ◽  
Domain Structure ◽  
Pulsed Laser ◽  
Laser Deposition ◽  
Full Width ◽  
Half Maximum ◽  
X Ray Diffraction ◽  
Rocking Curve ◽  
X Ray

Epitaxial PbTiO3 films have been grown on vicinal (001) SrTiO3 substrates by pulsed laser deposition. Vicinal SrTiO3 substrates with misorientations up to 9° from (001) were used, and the influence of the direction of misorientation on the resulting domain structure was studied. 4-circle x-ray diffraction analysis indicates that thin (40 nm) PbTiO3 films are completely c-axis oriented [rocking curve full-width-at-half-maximum (FWHM) of 0.25° for the 002 reflection] and that thicker films (∼ 200 nm) contain mixed a-axis and c-axis PbTiO3 domains due to twinning along {011} planes. The [100] axis of the a-axis domains is misoriented by 2.1° to 3.3° toward 〈100〉 substrate directions with respect to the substrate normal. In contrast to growth on well-oriented (001) SrTiO3 surfaces where the four equivalent tilts of the [100] axis of the a-axis domains are equally likely, on vicinal SrTiO3 the a-axis domains are preferentially oriented in an uphill direction with respect to the crystallographic miscut.

Studies of Crystalunity for Sputter Deposited Bi-Based Oxide Films

1992 ◽  
Vol 275 ◽  
Author(s):  
Koichi Mizuno ◽  
Yo Ichikawa ◽  
Kentaro Setsune
Keyword(s):  
Thin Films ◽  
Oxide Films ◽  
Full Width ◽  
Half Maximum ◽  
X Ray Diffraction ◽  
Rocking Curve ◽  
X Ray ◽  
Ion Channeling ◽  
Sputter Deposited

ABSTRACTCrystalline quality of Bi-based oxide films has been evaluated by means of X-ray diffraction (XRD) and ion-channeling on the Rutherford backscattering (RBS). The films were sputter deposited 2201-phase Bi2Sr2Cu1O8-δ (BSCO) and 2212-phase Bi2Sr2Ca1Cu2O8-δ (BSCCO). They were prepared on MgO(100) and SrTiO3(100) substrates at the low temperature of 650°C during the deposition. The best quality, however thin films had poor crystallinity compared to single crystals, was obtained with the 2201-phase BSCO film that was deposited on a SrTiO3(100) substrate. The full width at half maximum (FWHM) value of the rocking curve on XRD for the film was estimated as 1560 (arc sec).

Ultraviolet photon-induced heteroepitaxy of CdTe on GaAs

1988 ◽  
Vol 3 (6) ◽  
pp. 1144-1150 ◽  
Author(s):  
N. W. Cody ◽  
U. Sudarsan ◽  
R. Solanki
Keyword(s):  
Full Width ◽  
Half Maximum ◽  
Double Crystal ◽  
Rocking Curve ◽  
X Ray ◽  
Gaas Substrates ◽  
Deposition Parameters ◽  
Transmission Electron ◽  
Cdte Films ◽  
The Relationship

Ultraviolet photon-induced metalorganic vapor phase epitaxy of CdTe films on GaAs substrates has been investigated using diethyltelluride and dimethylcadmium as the precursor gases. The relationship between the deposition parameters and the properties of the epilayers have been examined using transmission electron microscopy and x-ray rocking curves. Epilayers grown at 6μm/h show an x-ray double-crystal rocking curve full width at half-maximum (FWHM) of 250 arcsec.

scholarly journals Хлорид-гидридная газофазная эпитаксия полуполярного слоя AlN(1012) на наноструктурированной подложке Si(100)

2020 ◽  
Vol 46 (2) ◽  
pp. 12
Author(s):  
В.Н. Бессолов ◽  
М.Е. Компан ◽  
Е.В. Коненкова ◽  
В.Н. Пантелеев
Keyword(s):  
Hydride Vapor Phase Epitaxy ◽  
Full Width ◽  
Half Maximum ◽  
X Ray Diffraction ◽  
Inclined Plane ◽  
New Approach ◽  
Rocking Curve ◽  
X Ray ◽  
Patterned Substrate ◽  
Maximum Value

A new approach is proposed to the synthesis of a semipolar AlN on a Si(100) substrate at the surface for which the angle between the inclined plane of the nanogrooves and Si(100) is 47°. It is shown that the hydride vapor-phase epitaxy on a such nano-patterned substrate enables formation of a semipolar layer AlN (1012) characterized by the full width at half maximum value as low as ωθ ~60 arcmin for the x-ray diffraction rocking curve. It is found that the Raman spectra of the semipolar AlN(10-12) layer contain additional peaks on the Raman curves associated with phonons A1(TO) and E1(TO), in contrast to the polar AlN(0001) layer, where the peak A1(LO) is additionally manifested.

Time Dependence of γ/γ' Lattice Mismatch in Creep-Deformed Single Crystal Superalloy SC16 at 1173 K

2007 ◽  
Vol 539-543 ◽  
pp. 3059-3063 ◽  
Author(s):  
G. Schumacher ◽  
N. Darowski ◽  
I. Zizak ◽  
Hellmuth Klingelhöffer ◽  
W. Chen ◽  
...  
Keyword(s):  
Single Crystal ◽  
Lattice Mismatch ◽  
Lattice Misfit ◽  
Peak Position ◽  
Single Crystal Superalloy ◽  
Tensile Creep ◽  
Full Width ◽  
X Ray Diffraction ◽  
X Ray ◽  
Time Period

The profiles of 001 and 002 reflections have been measured at 1173 K as a function of time by means of X-ray diffraction (XRD) on tensile-creep deformed specimens of single crystal superalloy SC16. Decrease in line width (full width at half maximum: FWHM) by about 7 % and increase in peak position by about 3x10-4 degrees was detected after 8.5x104 s. Broadening of the 002 peak profile indicated a more negative value of the lattice misfit after the same time period. The results are discussed in the context of the anisotropic arrangement of dislocations at the γ/γ’ interfaces during creep and their rearrangement during the thermal treatment at 1173 K.

Step size, scanning speed and shape of X-ray diffraction peak

1994 ◽  
Vol 27 (5) ◽  
pp. 716-722 ◽  
Author(s):  
H. Wang
Keyword(s):  
Scanning Speed ◽  
Peak Position ◽  
Maximum Intensity ◽  
X Ray Diffraction ◽  
Step Size ◽  
X Ray ◽  
Scanning Time ◽  
Integral Width ◽  
Counting Statistics ◽  
Voigt Function

The influences of step size and scanning speed on the shape of a single X-ray diffraction (XRD) peak are analyzed quantitatively. For this purpose, it is assumed that XRD peak shapes are a mixture of Cauchy and Gauss curves. Six equations are established for the calculation of position, maximum intensity and full width at half-maximum (FWHM) errors caused by step size and two for the FWHM errors caused by counting statistics. The ratio of step size to FWHM is proposed as the shape-perfect coefficient of the XRD peak. From these equations and the relationship between the FWHM and the integral width of a peak based on the pseudo-Voigt function or Voigt function, three basic elements of a single symmetric XRD peak (peak position, maximum intensity and FWHM) can be refined. The optimum step size and scanning time can also be set from them.

Mosaicity and Wafer Bending in SiC Wafers as Measured by Double and Triple Crystal X-Ray Rocking Curve and Peak Position Maps

2007 ◽  
Vol 556-557 ◽  
pp. 213-218 ◽  
Author(s):  
K.W. Kirchner ◽  
Kenneth A. Jones ◽  
Michael A. Derenge ◽  
Michael Dudley ◽  
Adrian R. Powell
Keyword(s):  
Laser Light ◽  
Peak Position ◽  
Etch Pit Density ◽  
Normal Position ◽  
Rocking Curve ◽  
X Ray ◽  
Etch Pit ◽  
Density Map ◽  
Beam Transmission ◽  
Si Wafer

Double and triple crystal rocking curve and peak position maps are constructed for a 4HSiC wafer for the symmetric (0 0 0 8) reflection in the normal position, the same reflection for a sample rotated 90º, and an asymmetric (1 23 6) reflection for the wafer in the normal position. These measurements were corrected for the ‘wobble’ in the instrument by scanning a 4” (1 1 1) Si wafer and assuming that the Si wafer was perfect and attributing the variations in the measurements to instrumental error. The x-ray measurements are correlated with a cross polar image, etch pit density map, white beam transmission x-ray topograph, and a laser light scan.

Temperature-gradient analyzers for non-resonant inelastic X-ray scattering

2021 ◽  
Vol 28 (3) ◽  
Author(s):  
Daisuke Ishikawa ◽  
Alfred Q. R. Baron
Keyword(s):  
Temperature Gradient ◽  
Solid Angle ◽  
Dispersion Compensation ◽  
Full Width ◽  
Half Maximum ◽  
Sensitive Detector ◽  
X Ray ◽  
X Ray Scattering ◽  
Position Sensitive ◽  
And Performance

The detailed fabrication and performance of the temperature-gradient analyzers that were simulated by Ishikawa & Baron [(2010). J. Synchrotron Rad. 17, 12–24] are described and extended to include both quadratic and 2D gradients. The application of a temperature gradient compensates for geometric contributions to the energy resolution while allowing collection of a large solid angle, ∼50 mrad × 50 mrad, of scattered radiation. In particular, when operating relatively close to backscattering, π/2 − θB = 1.58 mrad, the application of a gradient of 1.32 K per 80 mm improves the measured total resolution from 60 to 25 meV at the full width at half-maximum, while when operating further from backscattering, π/2 − θB = 6.56 mrad, improvement from 330 to 32 meV is observed using a combination of a gradient of 6.2 K per 80 mm and dispersion compensation with a position-sensitive detector. In both cases, the operating energy was 15.8 keV and the incident bandwidth was 22 meV. Notably, the use of a temperature gradient allows a relatively large clearance at the sample, permitting installation of more complicated sample environments.

Evaluation of Railway Rails Suffered from Rolling Contact Fatigue Using X-Ray Generalized cosα Method

2018 ◽  
Vol 941 ◽  
pp. 2378-2383
Author(s):  
Toshihiko Sasaki
Keyword(s):  
Rolling Contact Fatigue ◽  
Contact Fatigue ◽  
Rolling Contact ◽  
Full Width ◽  
Half Maximum ◽  
Diffraction Ring ◽  
X Ray ◽  
Depth Direction

In this study, the diffraction rings were measured point by point all over the head of rail sample which was used in service, and shearing stresses with respect to the depth direction were determined using the generalized cosα method. The full width at half maximum was also estimated from the diffraction ring.

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