Rahm Martin, Hoffmann Roald, Ashcroft N W
Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York, 14853, USA.
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York, 14853, USA.
Chemistry. 2016 Oct 4;22(41):14625-32. doi: 10.1002/chem.201602949. Epub 2016 Aug 24.
Atomic and cationic radii have been calculated for the first 96 elements, together with selected anionic radii. The metric adopted is the average distance from the nucleus where the electron density falls to 0.001 electrons per bohr(3) , following earlier work by Boyd. Our radii are derived using relativistic all-electron density functional theory calculations, close to the basis set limit. They offer a systematic quantitative measure of the sizes of non-interacting atoms, commonly invoked in the rationalization of chemical bonding, structure, and different properties. Remarkably, the atomic radii as defined in this way correlate well with van der Waals radii derived from crystal structures. A rationalization for trends and exceptions in those correlations is provided.
已计算出前96种元素的原子半径和阳离子半径,以及选定的阴离子半径。采用的度量标准是根据博伊德早期的工作,电子密度降至每玻尔0.001个电子处到原子核的平均距离。我们的半径是使用相对论全电子密度泛函理论计算得出的,接近基组极限。它们提供了一种系统的定量方法来衡量非相互作用原子的大小,这在化学键、结构和不同性质的合理化解释中经常被提及。值得注意的是,以这种方式定义的原子半径与从晶体结构得出的范德华半径有很好的相关性。文中还对这些相关性中的趋势和例外情况给出了合理的解释。