A profile-fitting procedure for analysis of broadened X-ray diffraction peaks. II. Application and discussion of the methodology

微晶 四方晶系 衍射 材料科学 伏格特剖面 格子(音乐) 单斜晶系 傅里叶分析 傅里叶变换 萤石 X射线晶体学 结晶学 分析化学(期刊) 谱线 晶体结构 光学 物理 化学 数学 数学分析 色谱法 量子力学 声学 冶金
作者
A. Benedetti,G. Fagherazzi,Stefano Enzo,M. Battagliarin
出处
期刊:Journal of Applied Crystallography [Wiley]
卷期号:21 (5): 543-549 被引量:92
标识
DOI:10.1107/s0021889888006624
摘要

The convolutive X-ray peak profile-fitting methodology described in the previous paper [Enzo, Fagherazzi, Benedetti & Polizzi (1988). J. Appl. Cryst. 21, 536-542] has been applied to a series of fluorite samples milled for different times and two zirconia ultrafine powders, by using either pseudo-Voigt or Voigt (in the Kielkopf approximation) functions, in order to investigate the broadening due to microstructural factors (crystallite size and lattice distortions). In the fluorite milled powders Fourier analysis (Warren & Averbach and Vogel, Haase & Hosemann methods) has shown that lattice disorder is due to dislocations. Values for the crystallite size as well as for the lattice distortion parameters similar to those obtained with Fourier methods have been found using a suitable integral breadth plot based on an assumed Cauchyian shape for the broadened profiles. A very high computability limit was reached for the crystallite size (about 5000 A). In the ultrafine powders of zirconia the cubic, tetragonal and monoclinic polymorphs were studied. The noticeable Gaussian content present in the 222 reflections for both cubic and tetragonal forms can be explained in terms of the presence of'intercrystalline'-like distortions. This kind of lattice distortion, detected by means of the Fourier analysis, has also been confirmed by 'simplified' methods (two-line and single-line procedures). Examples of limitations of the present methodology are reported and discussed.
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