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On Relativity, Bonding, and Valence Electron Distribution

机译:相对论,键和价电子分布

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摘要

The scalar relativistic contributions to bond or atomization energies of homo- or hetero-polar s-p-bonded atoms, Δ~(rel)E(bond), correlate well with the changes on bond formation of the electron density, integrated throughout the spatial K-shell region of the heavy nucleus, Δ~(bond)ρK_(-region), times Z~4, where Z is the nuclear charge. The "bond density changes" in the innermost atomic core regions, however, have no direct simple relationship to the electron density reorganizations in the outer atomic valence shell regions, which determine the nonrelativistic main contribution to the bond energy, Δ~(nonrel)E(bond). Also, scalar relativistic bond energy changes and bond length changes, Δ~(rel)R_e, are not directly correlated. Namely, 250L(rel)E(bond) correlates with the difference Δ~(bond)ρK_(-region), whereas Δ~(rel)R_e correlates with the derivative (d_((ρK)_(region))/dR). Reducing the internuclear distance from the separated to the united atom limit through the equilibrium distance value, R_e, the density around the nucleus at first decreases in many cases, goes through a minimum, and finally increases again. Therefore (d_((ρK)_(-region))/dR) may be positive or negative at R_e.
机译:标量相对论对同极性或异极性sp-bonded原子的键或雾化能的贡献Δ〜(rel)E(bond)与电子密度的键形成变化紧密相关,并在整个空间K-重核的壳区域Δ〜(键)ρK_(-区域)乘以Z〜4,其中Z是核电荷。然而,最内层原子核区域中的“键密度变化”与外原子价壳区域中的电子密度重组没有直接的简单关系,这决定了对键能的非相对论性主要贡献,Δ〜(nonrel)E (键)。同样,标量相对论键能变化和键长变化Δ〜(rel)R_e不直接相关。即,250L(rel)E(bond)与差Δ〜(bond)ρK_(-region)相关,而Δ〜(rel)R_e与导数(d _((ρK)_(region))/ dR)。通过平衡距离值R_e减小从分离的原子极限到联合原子极限的核间距离,在许多情况下,核周围的密度首先减小,经过最小值,最后再次增大。因此,(d _((ρK)_(-region))/ dR)在R_e处可以为正或负。

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