Direct determination of defect structures

Author(s):  
R. B. Neder ◽  
A. Halbhuber ◽  
F. Frey

AbstractA procedure for the direct determination of defect structures is presented. The procedure uses the average structure to calculate starting phases. An iterative cycle of inverse Fourier transforms and interpretations of the scattering density is applied. Within each cycle the scattering density is interpreted to yield a structure deviating from the average structure by missing, replaced or shifted atoms. The procedure usually converges after a few cycles and allows a direct determination of substitutional and displacement disorder. By analyzing the correlations between different atoms, extended defects can be recognized. The current results are preliminary and have been limited to an idealized one dimensional situation, under the assumption of a negligible experimental resolution function.

2006 ◽  
Vol 128 (20) ◽  
pp. 6676-6682 ◽  
Author(s):  
Yusuke Wakabayashi ◽  
Atsushi Kobayashi ◽  
Hiroshi Sawa ◽  
Hiroyuki Ohsumi ◽  
Naoshi Ikeda ◽  
...  

2000 ◽  
Vol 39 (2) ◽  
pp. 159-164 ◽  
Author(s):  
Luca A. Pardi ◽  
Alia K. Hassan ◽  
Frans B. Hulsbergen ◽  
Jan Reedijk ◽  
Anthony L. Spek ◽  
...  

2020 ◽  
Vol 101 (22) ◽  
Author(s):  
Mladen Horvatić ◽  
Martin Klanjšek ◽  
Edmond Orignac

2018 ◽  
Vol 51 (3) ◽  
pp. 679-684 ◽  
Author(s):  
Tomoya Kawaguchi ◽  
Yihua Liu ◽  
Anthony Reiter ◽  
Christian Cammarota ◽  
Michael S. Pierce ◽  
...  

A one-dimensional non-iterative direct method was employed for normalized crystal truncation rod analysis. The non-iterative approach, utilizing the Kramers–Kronig relation, avoids the ambiguities due to an improper initial model or incomplete convergence in the conventional iterative methods. The validity and limitations of the present method are demonstrated through both numerical simulations and experiments with Pt(111) in a 0.1 M CsF aqueous solution. The present method is compared with conventional iterative phase-retrieval methods.


1995 ◽  
Vol 268 (5) ◽  
pp. E1018-E1026 ◽  
Author(s):  
J. T. Brenna ◽  
K. E. Yeager

Determination of deuterium (D) concentration in tap water and urine is demonstrated to average error approximately 0.5% (coefficient of variation) using a 400-MHz nuclear magnetic resonance (NMR) instrument. Time domain data are obtained using 0.75-ml samples in a broadband probe. Peak areas derived from absorption and magnitude mode Fourier transforms and least-squares fitting of the time domain free induction decays (FIDs) are all investigated as means to derive D concentrations from raw data. Least-squares fits using a sum of exponentially damped sinusoids, which yields estimates for the amplitude, damping constant (relaxation time), wavelength (resulting from mixing of precession and reference frequencies), and phase for each of the two components, are shown to provide the best precision for unfiltered FID. Amplitudes are proportional to the number of spins at each frequency, as analysis of untreated urine from doubly labeled water experiments yield highly linear washout data (r2 > 0.99998) for baseline-corrected log-transformed data. The procedure is general and should extend to other body fluids with minimal modifications. These data show that least-squares curve fitting is the most precise method of quantitative NMR data reduction for a wide range of experimental conditions.


2017 ◽  
Vol 25 (3) ◽  
pp. 866-868 ◽  
Author(s):  
Roger Bustamante

In this note it is shown there is an error in the analysis used to obtain an exact solution for the wave propagation problem, for the case of a one-dimensional body considering a new type of constitutive equation.


1961 ◽  
Vol 41 (4) ◽  
pp. 380-384 ◽  
Author(s):  
Arthur F. Dratz ◽  
James C. Coberly
Keyword(s):  

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