用最大熵法研究实验电荷密度分布

M. Sakata, E. Nishibori, M. Takata
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摘要

通过实例介绍了利用x射线衍射的最大熵法(MEM)精确研究电荷密度的方法。详细阐述了该方法的基本概念。此外,还给出了一些实验电荷密度,如金属富勒烯、金属氢化物和金属间化合物,以证明该方法的有效性。在La2@C80金属富勒烯的情况下,由于富勒烯笼内的跳跃运动,两个La原子形成了五角形十二面体电荷密度。在MgH2金属氢化物的情况下,MEM电荷密度图中可以清晰地发现氢原子的电荷密度峰,而在直接傅里叶电荷密度图中没有发现氢原子的电荷密度峰。
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Experimental Charge Density Distribution by the Maximum Entropy Method
The accurate charge density studies by the Maximum Entropy Method (MEM) utilizing X-ray diffraction is outlined with some examples. The basic concept of the method is stated in some details. In addition, some experimental charge densities are given to demonstrate the usefulness of the method, such as endohedral metallofullerenes, metal hydride and intermetallic compounds. In La2@C80 metallofullerene case, the extraordinary charge density distribution is revealed, that is two La atoms form pentagonal dodecahedron charge density due to the hopping motion inside fullerene cage. In MgH2 metal hydride case, charge density peaks of hydrogen atoms are clearly found in MEM charge density map, whereas no such charge density peaks are found in direct Fourier charge density map.
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