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Theoretical Calculation of Absolute Radii of Atoms Ions. Part 2. The Ionic Radii

机译:原子离子绝对半径的理论计算。第2部分。离子半径

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The theoretical method of determination of absolute atomic size, discussed in Int. J. Mol. Sci. 2002, 3, 87-113, is exploited to calculate absolute radii of the ions whose experimental radii are published by Shanon. The computed radii are found to reproduce the expected periodic variation of size in periods and in groups and nicely reproduce the d-block and f-block contractions in the respective series. It is pointed out that experimental radii of d and f block transition metal ions make erroneous and misleading representation of the size behaviour of the respective series. A detailed comparative study of the crystal radii vis-à-vis the theoretical radii is reported. A rationale of the double hump curve of the experimental radii of 3 d-block transition metal ions is put forward in terms of the crystal field theory and Jahn-Teller distortion. The theoretical radii are exploited to calculate the diamagnetic susceptibility, polarizability and chemical hardness of the ions and compared with available experimental data. The fact of good agreement between the experimental and computed global hardness of ions and correct demonstration of d-block and f-block contraction by the computed radii are used as benchmark to test the validity of the values of the computed theoretical radii of the ions as their representative sizes. It is concluded that the theoretically computed radii of ions are visualizable size representation of ions and can be used as their absolute radii at the respective oxidation states.
机译:确定绝对原子尺寸的理论方法,在Int。 J.摩尔科学利用2002年第3期,第87-113页,计算了由Shanon发表的实验半径的离子的绝对半径。发现计算出的半径可以按周期和成组再现尺寸的预期周期性变化,并且可以很好地再现各个系列中的d嵌段和f嵌段收缩。应当指出,d和f嵌段过渡金属离子的实验半径对相应系列的尺寸行为做出了错误和误导性的描述。报告了相对于理论半径的晶体半径的详细比较研究。根据晶体场理论和Jahn-Teller畸变,提出了3d-过渡金属离子的实验半径双峰曲线的基本原理。利用理论半径计算离子的抗磁化率,极化率和化学硬度,并与可用的实验数据进行比较。离子的实验硬度和计算的整体硬度之间的一致性很好,并且通过计算的半径正确演示了d嵌段和f嵌段收缩,以此作为基准来检验离子的理论半径计算值的有效性。它们的代表大小。可以得出结论,理论上计算出的离子半径是离子的可视化尺寸表示,并且可以用作相应氧化态下其绝对半径。

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