X-ray divergent-beam (Kossel) technique: A review

2011 ◽  
Vol 56 (2) ◽  
pp. 169-189 ◽  
Author(s):  
V. V. Lider
1974 ◽  
Vol 18 ◽  
pp. 454-465 ◽  
Author(s):  
H. M. Berg ◽  
E. L. Hall

AbstractThe back reflection x-ray divergent beam technique is examined as a tool for studying elastic strains. In particular, a method of calculating interplanar spacings using a least squares fit of experimental "conic" coordinates to Newman's general equation for back reflection (J. Appl. Cryst. 3 (1970) 191) is described. Using this technique, interplanar spacings can be obtained from partial conies. To determine the precision of this method an unstrained silicon single crystal is studied, and the errors associated with determining its interplanar spacings are discussed. The technique is then applied to elastically strained silicon and the results compared to theoretical predictions. It is shown that strains down to 2 × 10−5 are readily measured on high angle planes in silicon.


2021 ◽  
pp. 1-7
Author(s):  
Brian K. Tanner ◽  
Patrick J. McNally ◽  
Andreas N. Danilewsky

X-ray diffraction imaging (XRDI) (topography) measurements of silicon die warpage within fully packaged commercial quad-flat no-lead devices are described. Using synchrotron radiation, it has been shown that the tilt of the lattice planes in the Analog Devices AD9253 die initially falls, but after 100 °C, it rises again. The twist across the die wafer falls linearly with an increase in temperature. At 200 °C, the tilt varies approximately linearly with position, that is, displacement varies quadratically along the die. The warpage is approximately reversible on cooling, suggesting that it has a simple paraboloidal form prior to encapsulation; the complex tilt and twisting result from the polymer setting process. Feasibility studies are reported, which demonstrate that a divergent beam and quasi-monochromatic radiation from a sealed X-ray tube can be used to perform warpage measurements by XRDI in the laboratory. Existing tools have limitations because of the geometry of the X-ray optics, resulting in applicability only to simple warpage structures. The necessary modifications required for use in situations of complex warpage, for example, in multiple die interconnected packages are specified.


1947 ◽  
Vol 72 (10) ◽  
pp. 983-984 ◽  
Author(s):  
A. H. Geisler ◽  
J. K. Hill ◽  
J. B. Newkirk
Keyword(s):  

Author(s):  
K. T. Avetyan ◽  
L. V. Levonyan ◽  
H. S. Semerjyan ◽  
M. M. Arakelyan ◽  
O. M. Badalyan ◽  
...  
Keyword(s):  

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