用中子衍射法重新测定尖晶石(MgAl2O4)的阳离子分布

E. Stoll, P. Fischer, W. Hälg, G. Maier
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They found that synthetically produced Mg-Al spinels are considerably inverse, while naturally grown Mg-Al spinels exhibit approximately the normal spinel structure, when not annealed beyond about 800 °C. However, once annealed at temperatures higher than 800 OC, natural spinel will be inverse to a large degree. A second, and more reliable method to determine the degree of inversion, and thus the cation distribution, is provided by neutron diffraction. From the equation of the structure factor where and = iiinctions of u, i .--degree of inversion and = inn-lear scattering amplitude, it follows that L can be obtained with accuracy, since the b-values of the two cation constituents differ considerably. Bacon [2] was the first to use the above relationship in order to determine the degree of inversion in synthetic spinel powder samples. He found, in contradiction to Brun and coworkers, a nearly vanishing i-value, i. e. a normal spinel structure with at most a slight tendency towards inversion. Because of this discrepancy, it appeared desirable to repeat the neutron diffraction experiments, and to investigate the effect of annealing the sample on its structure. Since Bacon could, in 1952, perform his diffraction work with low resolution only, the aim in our experiments was to improve the resolution. The investigations were performed with the 20 MW reactor \" Diorit \" of the Swiss Federal Institute for Reactor Research. Synthetic and stoichiometric spinel powder (# 50 tl) was used and both the AI(ill) and Al(311) reflections were employed for monochromatizing the neutron beam. Figures 1 and 2 represent the observed angular distribution of the diffracted intensity. 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From the equation of the structure factor where and = iiinctions of u, i .--degree of inversion and = inn-lear scattering amplitude, it follows that L can be obtained with accuracy, since the b-values of the two cation constituents differ considerably. Bacon [2] was the first to use the above relationship in order to determine the degree of inversion in synthetic spinel powder samples. He found, in contradiction to Brun and coworkers, a nearly vanishing i-value, i. e. a normal spinel structure with at most a slight tendency towards inversion. Because of this discrepancy, it appeared desirable to repeat the neutron diffraction experiments, and to investigate the effect of annealing the sample on its structure. Since Bacon could, in 1952, perform his diffraction work with low resolution only, the aim in our experiments was to improve the resolution. The investigations were performed with the 20 MW reactor \\\" Diorit \\\" of the Swiss Federal Institute for Reactor Research. 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引用次数: 44

摘要

2014利用中子衍射实验重新测定了~ 50 03BC型合成尖晶石粉末的阳离子分布。由Bacon(1952)发现的氧参数已被证实,但与Bacon相反,反演的程度约为10%至15%,并取决于样品的热历史。[j] .物理学报[j] . 5, [m] . 1996,镁铝在空间群中结晶。单晶胞可以用一个几乎紧密排列的立方氧排列来描述,其中含有内嵌的阳离子,它们被氧原子以四面体或几乎八面体的形式包围。单元胞的晶格参数为8.0832 A,每个胞有8个分子。尖晶石结构的特点是,相对于对称中心,阳离子位于固定位置,而氧的位置取决于参数u。只有Mg原子占据四面体a位时,尖晶石结构才被称为“正常”结构。然而,在空间平均上,Mg的任何部分都可以被Al原子取代。这个取代的分数被称为“反转度”,用i表示。反转度的知识,以及阳离子分布的知识,与由于物质的热历史而可能发生的结构变化有关,是特别有趣的。到目前为止,对于所讨论的问题已经采用了两种基本不同的方法。一种是使用核共振技术,如Brun及其同事[1]所做的那样。他们发现,人工合成的Mg-Al尖晶石是相当相反的,而自然生长的Mg-Al尖晶石在不超过800°C退火时,表现出近似正常的尖晶石结构。然而,一旦在高于800℃的温度下退火,天然尖晶石将在很大程度上反转。第二种更可靠的方法是用中子衍射来确定反转的程度,从而确定阳离子的分布。由结构因子式(和= u, i -反演度和= in -lear散射振幅)可知,由于两种阳离子组分的b值相差较大,可以较准确地求出L。Bacon[2]首先利用上述关系来确定合成尖晶石粉末样品中的反转程度。他发现,与布朗和他的同事相反,一个几乎消失的i值,即一个正常的尖晶石结构,最多有轻微的反转趋势。由于这种差异,有必要重复中子衍射实验,并研究退火对样品结构的影响。由于培根在1952年只能在低分辨率下进行衍射工作,所以我们实验的目的是提高分辨率。调查是在瑞士联邦反应堆研究所的20兆瓦“Diorit”反应堆上进行的。采用人工合成和化学计量尖晶石粉末(# 50 tl),采用AI(ill)和Al(311)反射对中子束进行单色化。图1和图2表示观察到的衍射强度的角度分布。通过比较可以看出,与Al(111)相比,Al(311)单色器产生了更好的分辨率,特别是在高角度下,这与Caglioti的[3]理论很好地吻合。我们的图的评价证实了培根发现的氧参数:u = 0,387 -~0,001。然而,我们的尖晶石样品不能用正常的尖晶石结构来描述。如果假设反转程度大致在10%到15%之间,实验观察到的强度与计算得到的强度最吻合。此外,还发现该值在一定程度上取决于样品的热处理。为了获得关于这种影响的更详细的信息,对同一样品进行了两次退火程序:在第一次实验中,文章发表在EDP科学网站上,并可在http://dx.doi.org/10.1051/jphys:01964002505044700上获得
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Redetermination of the cation distribution of spinel (MgAl2O4) by means of neutron diffraction
2014 The cation distribution of synthetic spinel powder of grain size ~ 50 03BC was redetermined by means of neutron diffraction experiments. The oxygen parameter found by Bacon (1952) has been confirmed, but, in contradiction to Bacon, the degree of inversion amounts to about 10 to 15 %, and depends upon the thermal history of the sample. LE JOURNAL DE PHYSIQUE TOME ‘~5, MAI 196~, Magnesium aluminium oxyde crystallizes in the space group Fd3n?. The unit cell can be described by a nearly close packed cubic oxygen arrangement with built-in cations, which are either tetrahedrally or almost octahedrally surrounded by the oxygen atoms. The lattice parameter of the unit cell amounts to 8.0832 A, and there are eight molecules per cell. The spinel structure is characterized by the fact that, relative to the center of symmetry, the cations are located at fixed positions, while the oxygen positions depend upon a parameter u. The spinel structure is called " normal " if the Mg atoms occupy the tetrahedral A-sites, only. However, on the space average, any fraction of Mg can be replaced by Al atoms. This fraction of replacement is called " degree of inversion " and denoted by i. The knowledge of the degree of inversion, and thus of the cation distribution, is of special interest in connection with possible changes of the structure due to the thermal history of the substance. Thus far, two basically different methods have been employed for the problem in question. One is to use nuclear resonance techniques, as was done by Brun and coworkers [1]. They found that synthetically produced Mg-Al spinels are considerably inverse, while naturally grown Mg-Al spinels exhibit approximately the normal spinel structure, when not annealed beyond about 800 °C. However, once annealed at temperatures higher than 800 OC, natural spinel will be inverse to a large degree. A second, and more reliable method to determine the degree of inversion, and thus the cation distribution, is provided by neutron diffraction. From the equation of the structure factor where and = iiinctions of u, i .--degree of inversion and = inn-lear scattering amplitude, it follows that L can be obtained with accuracy, since the b-values of the two cation constituents differ considerably. Bacon [2] was the first to use the above relationship in order to determine the degree of inversion in synthetic spinel powder samples. He found, in contradiction to Brun and coworkers, a nearly vanishing i-value, i. e. a normal spinel structure with at most a slight tendency towards inversion. Because of this discrepancy, it appeared desirable to repeat the neutron diffraction experiments, and to investigate the effect of annealing the sample on its structure. Since Bacon could, in 1952, perform his diffraction work with low resolution only, the aim in our experiments was to improve the resolution. The investigations were performed with the 20 MW reactor " Diorit " of the Swiss Federal Institute for Reactor Research. Synthetic and stoichiometric spinel powder (# 50 tl) was used and both the AI(ill) and Al(311) reflections were employed for monochromatizing the neutron beam. Figures 1 and 2 represent the observed angular distribution of the diffracted intensity. As can be seen by comparison, the Al (311) monochromator produces a much better resolution, especially at high angles, than does Al (111), in good agreement with Caglioti’s [3] theory. The evaluation of our diagrams confirm the oxygen parameter found by Bacon : u = 0,387 -~0,001. However, our spinel sample cannot be described by the normal spinel structure. The experimentally observed intensities agree best with the calculated ones, if one assumes a degree of inversion of roughly between 10 and 15 %. In addition, it was found that this value depends to a certain extent upon the thermal treatment of the sample. In order to obtain more detailed information about this influence, two annealing procedures were made with the same sample : in a first experiment, the Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphys:01964002505044700
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