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Crystallite Size Distributions from X‐Ray Powder Line Profiles

 

作者: Vedene H. Smith,   Paul G. Simpson,  

 

期刊: Journal of Applied Physics  (AIP Available online 1965)
卷期: Volume 36, issue 10  

页码: 3285-3287

 

ISSN:0021-8979

 

年代: 1965

 

DOI:10.1063/1.1702968

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The distribution of column lengths,p(n)/Nc, in a strain‐free powder sample is given by the relationshipp(n)/Nc=k(An+1−2An+An−1)/(A1−Ak+1)among the Fourier coefficients of the x‐ray powder diffraction line shape under the assumption that the total number of columns of length 1, 2, …,kunit cells is negligibly small. This eliminates the necessity for use of the experimentally imperfect coefficientA0and is equivalent to Warren's method for elimination of the ``hook effect.'' It is also shown that the technique of Warren and Averbach is valid for either narrow or broad diffraction lines if the crystallite size distribution is treated as a function of a discrete variable.

 

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