The Weak-Beam Method – A Retrospective Account

2020 ◽  
pp. 51-64
Author(s):  
D.J.H. Cockayne
Materia Japan ◽  
1998 ◽  
Vol 37 (12) ◽  
pp. 982-982
Author(s):  
Koichi Kawahara ◽  
Sadahiro Tsurekawa ◽  
Hideharu Nakashima

2007 ◽  
Vol 550 ◽  
pp. 259-264 ◽  
Author(s):  
A.Ya. Kochubey ◽  
Vladimir Serebryany ◽  
V.N. Timofeev

Ductility of Mg – alloys is linked to a shortage of independent slip systems. Basaltextured samples of Mg-Al-Zn alloy are examined for presence of dislocations of different types after hot compression tests of cast samples and cold compression tests of hot-rolled samples. The JEM-1000, electron transmission microscope with an accelerating voltage of 750 kV using a dark field–weak beam method of observation and the g·b=0 invisibility criterion as a basic method of the analysis of Burgers vectors, is used to analyse the samples. Dislocations with Burgers vectors <a>, [c] and <a+c> are found. The results are used to evaluate the dislocation density and determine the possible dislocation reactions.


1999 ◽  
Vol 572 ◽  
Author(s):  
M. H. Hong ◽  
A. V. Samant ◽  
V. Orlov ◽  
B. Farber ◽  
C. Kisielowski ◽  
...  

ABSTRACTBulk single crystals of 4H-SiC have been deformed in compression in the temperature range 550–1300°C, whereas a GaN thin film grown on a (0001) sapphire substrate was deformed by Vickers indentation in the temperature range 25–800°C. The TEM observations of the deformed crystals indicate that deformation-induced dislocations in 4H-SiC all lie on the (0001) basal plane but depending on the deformation temperature, are one of two types. The dislocations induced by deformation at temperatures above ∼1 100°C are complete, with a Burgers vector, b, of but are all dissociated into two partials bounding a ribbon of stacking fault. On the other 3 hand, the dislocations induced by deformation in the temperature range 550<T<∼ 1100°C were predominantly single leading partials each dragging a stacking fault behind them. From the width of dissociated dislocations in the high-temperature deformed crystals, the stacking fault energy of 4H-SiC has been estimated to be 14.7±2.5 mJ/m2. Vickers indentations of the [0001]-oriented GaN film produced a dense array of dislocations along the three 〈1120〉 directions at all temperatures. The dislocations were slightly curved with their curvature increasing as the deformation temperature increased. Most of these dislocations were found to have a screw nature with their b parallel to 〈1120〉. Also, within the resolution of the weak-beam method, they were not found to be dissociated. Tilting experiment show that these dislocations lie on the {1100} prism plane rather than the easier (0001) glide plane.


1990 ◽  
Vol 213 ◽  
Author(s):  
M. Yoshida ◽  
T. Takasugi

ABSTRACTB2-type CoTi single crystals which exhibit the yield strength anomaly were deformed at various temperatures and on various compression axis in order to investigate the deformation microstructures. The morphological feature and Burgers vectors of the activated dislocations were investigated by means of transmission electron microscopy. At a low temperature of 300 K, relatively straight dislocations with the <001>-type Burgers vector were observed. They consisted of the mixed components of edge and screw, and strongly tended to form the dipoles. At a temperature of 773 K where the yield stress increases with increasing temperature, the screw components of dislocations with a <001>-type Burgers vector were dominant and showed peculiar morphology revealing the pinning or cross slip. However, the examination using the weak-beam method could not show the evidence of any dissociation. At a high temperature of 973 K above the peak temperature, the Burgers vectors of activated dislocations were determined to be a <001>- type for compressive orientation axes close to [111] and [011] whereas a <110>-type for orientation axis close to [001]. These dislocation microstructures were discussed in correlation with the yield strength anomaly observed in these intermetallics.


1973 ◽  
Vol 19 (1) ◽  
pp. 83-91 ◽  
Author(s):  
R. Sandström

The weak-beam method of electron microscopy (Cockayne, Ray & Whelan 1969, 1970) has been used to investigate the dissociation of dislocations in silicon. Total dislocations with a/2<110> Burgers vectors were found to be dissociated into Shockley partial dislocations, with a separation of 7.5 +0.6 nm (75 + 6 Å) for the pure edge orientation and 4.1 +0.6 nm (41+ 6 Å) for the pure screw orientation. The intrinsic stacking-fault energy, calculated from the measured dissociation width using anisotropic elasticity theory, is 51 + 5 mJ m -2 (51 + 5 erg cm -2 ). The method has also been used to image partial dislocations at threefold dislocation nodes in silicon. All nodes in the specimens examined were found to be extended, and of about the same size, indicating that the intrinsic and extrinsic stacking-fault energies are comparable. Measurements of the radii of curvature of partial dislocations at the nodes gave a value of 50+15 mJ m -2 (50+15 erg cm -2 ) for the intrinsic stacking fault energy, using the method of Whelan (1959) as modified by Brown & Thölén (1964). Dislocations in silicon specimens annealed at a high temperature were found to be constricted along segments of the dislocation line. Evidence is presented which suggests that the constricted segments have climbed out of the slip plane.


Author(s):  
J. E. Angelo ◽  
M. J. Mills

In order to measure the spacing of closely spaced dislocations, a method with sufficient spatial resolution must be used. High resolution imaging provides one method of determining the spacing of paired dislocations, but care must be taken since these authors have shown that thin film effects can give rise to structures not present in bulk materials. To date, the most widely used method of determining the spacing of paired dislocations is the weak-beam dark field method. This method has proved extremely useful in the study of many systems, see Cockayne3 for a review. One of the difficulties of the weak-beam method is that the observed peak positions do not generally correspond to the actual position of the partial dislocation cores. Correlation of the peak positions with the true position depends on the deviation parameter, foil thickness, and position of the dislocations within the foil.


1984 ◽  
Vol 48 (5) ◽  
pp. 455-460
Author(s):  
Kun-ichi Miyazawa ◽  
Du-bin Cheng ◽  
Hideo Saito ◽  
Minoru Mori ◽  
Yoichi Ishida

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