On the Diffuse Scattering of X-Rays by a Partially Ordered Crystal

T. Matsubara
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引用次数: 4

Abstract

A general theory of the diffraction phenomena of X-rays by a crystal having irregularities of its atomic arrangements has been developed. First, the intensity formula was written as a sum of three terms, havingg distinct meanings : the first term represents a normal Laue pattern, the second a diffuse pattern similar to that due to a gas, and the third an anomalous Laue pattern. The third term is that which we are most interested in, and is due to the correlations between the irregularities possessed by any two lattice points. It is a function J (b) of the reciprocal lattice vector b, being given by equation (2.8) . It can be concluded that the weight of the scattering power for it is in general concentrated near the reciprocal lattice points, so that it gives a diffuse pattern lying near the normal Laue spots. Explicit calculation of J (b) was carried out for two cases: (1) the irregularities are due to lattice vibrations (obtaining Waller's formula in a more exact form) and (2) they are due to the order-disorder arrangements of the atoms in an alloy of, the type AB with the simple cubic structure. In the second case, a general formula was first set up, and then Zernike's theory of the propagation of orders was. applied to represent it in a more closed form. Some aspects of the intensity of the anomalous scattering were discussed in connection with the change of the degree of orders.
部分有序晶体对x射线的漫射
关于原子排列不规则的晶体对x射线的衍射现象的一般理论已经提出。首先,将强度公式写成三项的和,具有不同的含义:第一项表示正常的劳厄模式,第二项表示类似于气体的扩散模式,第三项表示异常劳厄模式。第三项是我们最感兴趣的,它是由任意两个晶格点所具有的不规则性之间的相关性引起的。它是倒易晶格向量b的函数J (b),由式(2.8)给出。可以得出结论,它的散射功率的权重一般集中在倒易晶格点附近,因此它给出了一个位于正常劳厄点附近的漫射图案。对两种情况进行了J (b)的显式计算:(1)不规则性是由于晶格振动(以更精确的形式获得Waller公式)和(2)不规则性是由于具有简单立方结构的AB型合金中原子的有序-无序排列。在第二种情况下,首先建立一般公式,然后是Zernike的订单传播理论。用更封闭的形式来表示它。讨论了反常散射强度的某些方面与有序度变化的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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