Determination of Radial Distribution Functions by Elastic Electron Diffraction

Nature ◽  
1966 ◽  
Vol 210 (5031) ◽  
pp. 86-87 ◽  
Author(s):  
C. W. B. GRIGSON ◽  
M. F. TOMPSETT
Keyword(s):  
Electron Diffraction ◽  
Radial Distribution ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
Elastic Electron

Energy-Filtered Electron Diffraction from Silica Thin Films

1992 ◽  
Vol 284 ◽  
Author(s):  
L. C. Qin ◽  
L. W. Hobbs
Keyword(s):  
Thin Films ◽  
Electron Diffraction ◽  
Radial Distribution ◽  
Amorphous Materials ◽  
Scanning Transmission Electron Microscope ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
Intensity Data ◽  
Scattered Electron ◽  
Silica Thin Films

ABSTRACTEnergy filtering has been applied to electron diffraction patterns to obtain electron scattering intensity data of single energy collected using a scanning transmission electron microscope. For amorphous materials, the technique permits reconstruction of radial distribution functions from elastically scattered electron intensity data; amorphous silica thin films have been analyzed in the present experiments. The radial distribution functions are characterized in terms of interatomic distances and are compared to neutron scattering results in the form of total correlation functions.

Radial distribution functions from diffracted electron intensities

1989 ◽  
Vol 47 ◽  
pp. 502-503
Author(s):  
J. Bentley ◽  
P. Angelini ◽  
P. S. Sklad ◽  
A. T. Fisher
Keyword(s):  
Electron Diffraction ◽  
Radial Distribution ◽  
Amorphous Materials ◽  
Dynamic Range ◽  
Diffraction Method ◽  
Distribution Functions ◽  
Amorphous Semiconductors ◽  
Radial Distribution Functions ◽  
Hydrogenated Silicon ◽  
Electron Microscopes

Many previous studies have shown the benefits of electronically recorded intensity profiles of electron diffraction patterns obtained with a transmission electron microscope (TEM). The technique, which is based on the scanning diffraction method developed by Grigson et al., avoids the complex procedures involved in making densitometer traces from film, greatly expands the dynamic range, and allows energy filtering to remove inelastically scattered electrons that have lost more than a few eV. Early applications to amorphous materials employed TEMs fitted with scanning systems and electrostatic filters below the projector lens. The main emphasis of the work of Graczyk et al. was on structural models for amorphous semiconductors such as silicon and germanium. However, a treatment for binary materials was developed and measurements were made for SiO2 and Ge-Te alloys. Cockayne et al. have recently extended these early techniques to modern 100 and 300 kV analytical electron microscopes, which when equipped with energy loss spectrometers and energy-dispersive x-ray analysis systems, do not require further major modification. Applications for which radial distribution functions have been determined from online measurements of energy-filtered selected area electron diffraction pattern intensity profiles have included amorphous thin films of carbon (a-C), germanium (a-Ge), boron nitride (a-BN), hydrogenated silicon (a-Si:H), silicon-carbon (a-Si1-xCx:H), and phosphorus- and boron-doped hydrogenated silicon.

scholarly journals The Radial Distribution Functions of Water as Derived from Radiation Total Scattering Experiments: Is There Anything We Can Say for Sure?

2013 ◽  
Vol 2013 ◽  
pp. 1-67 ◽  
Author(s):  
A. K. Soper
Keyword(s):  
Radial Distribution ◽  
Water Structure ◽  
Distribution Functions ◽  
Scattering Data ◽  
Radial Distribution Functions ◽  
Radiation Scattering ◽  
Neutron Data ◽  
Simulation Tools ◽  
Novel Method

The present paper reviews the investigation of ambient water structure and focusses in particular on the determination of the radial distribution functions of water from total experimental radiation scattering experiments. A novel method for removing the inelastic scattering from neutron data is introduced, and the effect of Compton scattering on X-ray data is discussed. In addition the extent to which quantum effects can be discerned between heavy and light water is analysed against these more recent data. It is concluded that, with the help of modern data analysis and computer simulation tools to interrogate the scattering data, a considerable degree of consistency can be obtained between recent and past scattering experiments on water. That consistency also gives a realistic estimate of the likely uncertainties in the extracted radial distribution functions, as well as offering a benchmark against which future experiments can be judged.

Characterization of metamict and Glassy Lead Phosphates

1993 ◽  
Vol 321 ◽  
Author(s):  
A. N. Sreeram ◽  
L. W. Hobbs
Keyword(s):  
Electron Diffraction ◽  
Ion Implantation ◽  
Single Crystals ◽  
Field Emission ◽  
Radial Distribution ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
Medium Range Order ◽  
Medium Range

ABSTRACTSingle crystals of Pb2P2O7 (beam stable under 200 kV TEM electrons to a fluence > 1027 e/M2 and an ionizing dose > 1014 Gy) were rendered Metamict (amorphized) with ion-implantation (100 kV P+ ions with several fluences between 5 × 1017/M2 - 2 × 1020/M2). Pb2P2O7 and PbO-P2O5 glasses were also ion implanted at identical fluences. Radial distribution functions for metamict and glassy phosphates generated using energy filtered electron diffraction (EFED) data collected on 100 kV field emission STEM (VG HB-5) indicate significant alterations in the medium range order.

Estimation of radial distribution functions in electron diffraction experiments: physical, mathematical and numerical aspects

1999 ◽  
Vol 32 (5) ◽  
pp. 911-916 ◽  
Author(s):  
H. Nörenberg ◽  
R. Säverin ◽  
U. Hoppe ◽  
G. Holzhüter
Keyword(s):  
Electron Diffraction ◽  
Radial Distribution ◽  
Distribution Functions ◽  
Electron Diffraction Data ◽  
Radial Distribution Functions ◽  
Mathematical Methods ◽  
Interatomic Distances ◽  
Transmission Electron ◽  
Significant Difference ◽  
Polycrystalline Gold

Radial distribution functions (RDFs) can be obtained from transmission electron diffraction experiments. Polycrystalline gold specimens have been used to study how different mathematical methods extract the RDF information from electron diffraction data. Fourier transform (FT) and a maximum-entropy (ME) algorithm have been used in these calculations. Results obtained by the two methods are very similar and reproduce the interatomic distances accurately. Between the two methods, FT and ME, no significant difference could be found. ME calculations are very sensitive towards input parameters whereas the FT is a very robust algorithm. Calculations on reduced sets of experimental data with little error margin showed no improvement of resolution in the RDF calculated by ME.

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