Statistics of partially coherent dark-field images of amorphous materials

Author(s):  
M M J Treacy ◽  
J M Gibson
Author(s):  
J. M. Cowley

Recently a number of authors have reported detail in dark-field images obtained from diffuse-scattering regions of electron diffraction patterns. Bright spots in images from short-range order diffuse peaks of disordered binary alloys have been interpreted as evidence for the existence of microdomains of ordered lattice or of segragated clusters of one component. Spotty contrast in dark field images of near-amorphous materials has been interpreted as evidence for the existense of microcrystals. Without a careful analysis of the imaging conditions such conclusions may be invalid. Usually the conditions of the experiment have not been specified in sufficient detail to allow evaluation of the conclusions.Elementary considerations show that even for a completely random arrangement of atoms the statistical fluctuations of density will give a spotty contrast with spots of minimum diameter determined by the dark field aperture size and other factors influencing the minimum resolvable distance under darkfield imaging conditions, including fluctuations and drift over long exposure times (resolution usually 10Å or more).


2010 ◽  
Vol 16 (4) ◽  
pp. 445-455 ◽  
Author(s):  
Huolin L. Xin ◽  
David A. Muller

AbstractThis article focuses on the development of a transparent and uniform understanding of possibilities for three-dimensional (3D) imaging in scanning transmission and confocal electron microscopes (STEMs and SCEMs), with an emphasis on the annular dark-field STEM (ADF-STEM), bright-field SCEM (BF-SCEM), and ADF-SCEM configurations. The incoherent imaging approximation and a 3D linear imaging model for ADF-STEM are reviewed. A 3D phase contrast model for coherent-SCEM as well as a pictorial way to find boundaries of information transfer in reciprocal space are reviewed and applied to both BF- and ADF-SCEM to study their 3D point spread functions and contrast transfer functions (CTFs). ADF-STEM is capable of detecting the depths of dopant atoms in amorphous materials but can fail for crystalline materials when channeling substantially modifies the electron propagation. For the imaging of extended (i.e., nonpointlike) features, ADF-STEM and BF-SCEM exhibit strong elongation artifacts due to the missing cone of information. ADF-SCEM shows an improvement over ADF-STEM/BF-SCEM due to its differential phase contrast eliminating slowly varying backgrounds, an effect that partially suppresses the elongation artifacts. However, the 3D CTF still has a cone of missing information that will result in some residual feature elongation as has been observed in A. Hashimoto et al., J Appl Phys160(8), 086101 (2009).


Author(s):  
Michael A. O’Keefe ◽  
Margaret L. Sattler

Image simulation has become one of the preferred techniques for analysis of high-resolution transmission electron micrographs, in both bright-field and dark-field modes. This is especially true of microscope images used in stuctural studies, both for perfect crystal structures, and for defects within periodic structures. In using image simulation for structural analysis, comparison is made point-by-point (pixel by pixel) between the experimental image and one simulated under identical imaging conditions for a model structure. Comparison with a matching simulated image enables features in the experimental image to be identified as belonging to structural features in the specimen, such as groups of atoms, or individual atoms. In the case of amorphous structures, however, no such one-to-one correspondence between simulations and experimental high-resolution images can be expected. It is thus much more difficult to determine whether the model from which one is simulating images really does describe the appropriate amorphous structure. Amorphous structures are characterized not in terms of atom positions within a well-defined unit cell, but interms of a “radial distribution function” (RDF), a function that gives the average number of atoms lying at any given distance from an average atom. The RDF is thus a non-periodic Patterson function, and a single RDF can arise from many different arrangements of atoms, provided only that atomic positions within the structure have the “right” statistical distribution.


1996 ◽  
Vol 2 (1) ◽  
pp. 9-19
Author(s):  
R.-J. Liu ◽  
J.M. Cowley

The use of a thin annular detector in a scanning transmission electron microscope is shown, theoretically and experimentally, to allow several imaging modes that may be of value for the study of thin specimens. The diffraction pattern on the detector plane may be expanded or contracted by means of post-specimen lenses to vary the collection angle of the thin annular detector to form dark- or bright-field images. Dark-field images obtained from annuli of various radii in the diffraction pattern can selectively reveal different components of the sample, as illustrated in the case of a sample containing platinum crystallites, amorphous carbon, and carbon nanotubes. Amorphous materials of different composition can be distinguished by selecting the main maxima in their diffraction patterns. If the central beam is enlarged so that it just fills the inner aperture of the detector, the “marginal” imaging mode so achieved gives an image contrast that is proportional to the square of the differential of the projected potential distribution. Any deflection of the incident beam spot due to a change of the projected potential gives bright contrast in the image.


2004 ◽  
Vol 12 (6) ◽  
pp. 34-35
Author(s):  
Lucille A. Giannuzzi

Electron tomography using transmission electron microscopy (TEM) and related techniques (e.g., scanning transmission electron microscopy (STEM) or energy filtered TEM (EFTEM)) allow for 3-D microstructural and elemental mapping of specimens, and has been used successfully in the biological sciences where mass-thickness contrast dominates these mostly amorphous materials. Z-contrast STEM imaging via high angle annular dark field (HAADF) tomography has also been used successfully in the physical sciences. STEM, EFTEM, and holography tomography are more useful techniques for crystalline materials, since diffraction contrast in conventional TEM images can hinder image reconstruction. Typical tomography routines utilize conventional electron transparent foils, whereby the dimensions of the specimen perpendicular to the electron beam may be orders of magnitude greater than the specimen thickness parallel to the electron beam. Using this conventional specimen geometry, the effective specimen thickness increases as the specimen is tilted through the ± 70 degrees necessary for the tomographic acquisition process.


1997 ◽  
Vol 3 (S2) ◽  
pp. 719-720
Author(s):  
N. Tanaka ◽  
S.J. Penny cook ◽  
T. Fujiwara ◽  
T. Fukunaga ◽  
U. Mizutani

A combination of Si and transition metal element like V, Ni and Au can form an amorphous phase over a wide composition range. Extensive studies have been reported in relation to a change in the electron transport properties across the metal-insulator transition. It has been reported that the metal-insulator transition in the amorphous Si100−xVx alloys accompanies a substantial change in both the electronic structure and atomic structure around x=18, as revealed by the photoemission spectroscopy and neutron diffraction experiments[1]. It is of great interest to examine the structural change associated with the metal-insulator transition at an atomic level by utilizing the HRTEM[2]. However, the correspondence between the image contrast and projection of atomic structures in amorphous materials is usually indirect due to the well-known phenomena of phase contrast in HRTEM. High-angle detection annular dark field scanning transmission electron microscopy (HAADF-STEM) as illustrated in Fig.1 is a solution of the problem without contrast reversal due to the lens-defocus and thickness-variation of samples.


Author(s):  
J. N. Meador ◽  
C. N. Sun ◽  
H. J. White

The electron microscope is being utilized more and more in clinical laboratories for pathologic diagnosis. One of the major problems in the utilization of the electron microscope for diagnostic purposes is the time element involved. Recent experimentation with rapid embedding has shown that this long phase of the process can be greatly shortened. In rush cases the making of projection slides can be eliminated by taking dark field electron micrographs which show up as a positive ready for use. The major limiting factor for use of dark field micrographs is resolution. However, for conference purposes electron micrographs are usually taken at 2.500X to 8.000X. At these low magnifications the resolution obtained is quite acceptable.


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