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Absorption Correction in Precision Determination of Lattice Parameters

 

作者: M. E. Straumanis,  

 

期刊: Journal of Applied Physics  (AIP Available online 1959)
卷期: Volume 30, issue 12  

页码: 1965-1969

 

ISSN:0021-8979

 

年代: 1959

 

DOI:10.1063/1.1735098

 

出版商: AIP

 

数据来源: AIP

 

摘要:

X‐ray powder and rotation patterns of six cubic substances (W, Si, Cr, TiO, Al, and V) using specimens of different thickness were made; the patterns were measured, the lattice constants calculated and plotted against the &thgr; angle or against the Nelson and Riley function. Such curves for thin mounts, semitransparent to x‐rays (below 0.2 mm in diam), consist of two parts: a region of high slope (due to absorption) and one approaching a zero slope at high Bragg angles. The latter, varying in extent with the size and nature of the mount, indicates that due to the rapid decrease in absorption, the lines in this region are shifted, little if any, from their correct positions. Hence, lattice constants calculated from the reflections of the high &thgr; angles lying on the horizontal portion of the curve need not be corrected for absorption. The constant, with negligible error, can be calculated from a single last strong &agr;1or &bgr; reflection. If an extrapolation is applied, the curve must be traced through points in the high back reflection region. Otherwise any extrapolation, disregarding the horizontal part, would lead to lattice constants too high in value. The amount of line displacement due to absorption in thin samples (below 0.2 mm in diam) agrees with the geometrical concept of Hadding and Buerger.

 

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