Nine Papers on Functional Analysis and Numerical Analysis

1964 ◽  
Author(s):  
O. Besov ◽  
M. Džrbašjan ◽  
V. Faddeeva ◽  
V. Kublanovskaja ◽  
V. Lidskiĭ ◽  
...  
Keyword(s):  
Functional Analysis ◽  
Numerical Analysis

On Secondary Extinction

1982 ◽  
Vol 37 (5) ◽  
pp. 485-489
Author(s):  
N. Kato
Keyword(s):  
Functional Analysis ◽  
Numerical Analysis ◽  
Present Author ◽  
Present Theory ◽  
Conventional Theory ◽  
New Approach ◽  
Mosaic Crystal ◽  
Crystal Model ◽  
Secondary Extinction ◽  
Special Case

For the purpose of extinction correction in crystal analysis, the secondary extinction factor y is discussed in the light of the new approach developed by the present author. The mosaic crystal model is adopted. A comparison is made between the present theory and the conventional theory (CT) through functional analysis of y in general cases and numerical analysis in the special case of parallel slab crystals. The y values of CT are underestimated by about 4% and 30% at y = 0.5 and 0.15, respectively. For y ≿ 0.7, CT is practically correct.

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