本文采用最优化方法研究了X射线衍射线线形分析中,用积分宽度法测算嵌镶尺寸和点阵畸变时,衍射线线形几何宽化的校正问题。寻求出物理宽化函数f(x)和几何宽化函数g(x)九种可能搭配中,未曾解决的四种搭配的几何宽化校正公式,并求出了Cauchy平方型与Cauchy平方型(CC-CC)搭配的几何宽化校正公式,从而完善了积分宽度法中几何宽化校正方法。
The optimization method was employed to study the corrections to the geometric broadening of X-ray profile in the measurement of the mosaic size and the lattice distortion using the integral line-breadth. It was found that among the nine possible match groups of the physical broadening function, f(x), with the geometric broadening function, g(x), the correctional formulae for the geometric broadening of five outstanding ones, i. e. G-C, C-G, G-CC, CC-G or CC-CC, were improved with more simplicity, high accuracy and easy on-line applicability.
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