Abstract Ionization energy theory is exploited to predict the changes to atomic polarizability for both anions and cations, the polarization in doped titanates and the energy gap in III–V and II–VI semiconductors. We then extend the above analysis to discuss the physics of metallic and superconducting phases in the recently discovered superconducting nickelates. In doing so, we are able to prove the existence of Ni2+ cations and oxygen vacancy in the metallic normal state of nickelates. We find that the normal state resistivity of the nickelates follows exactly as predicted by the ionization energy theory. Quantitative estimates are also given for the concentrations of Ni2+ and oxygen vacancy in superconducting nickelates.

中文翻译：

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从电离能理论推导出钛酸盐、半导体和镍酸盐的物理性质

摘要 利用电离能理论来预测阴离子和阳离子的原子极化率的变化、掺杂钛酸盐的极化以及 III-V 和 II-VI 半导体中的能隙。然后，我们扩展上述分析以讨论最近发现的超导镍酸盐中金属相和超导相的物理学。通过这样做，我们能够证明镍酸盐的金属正常状态中存在 Ni2+ 阳离子和氧空位。我们发现镍酸盐的常态电阻率完全符合电离能理论的预测。还给出了超导镍酸盐中 Ni2+ 浓度和氧空位的定量估计。