Paramagnetic solid-state NMR of lanthanide (Ln) containing materials can be challenging due to the high electron spin states possible for the Ln f electrons, which result in large paramagnetic shifts, and these difficulties are compounded for ¹⁷O due to the low natural abundance and quadrupolar character. In this work, we present examples of ¹⁷O NMR experiments for lanthanide oxides and strategies to overcome these difficulties. In particular, we record and assign the ¹⁷O NMR spectra of monoclinic Sm₂O₃ and Eu₂O₃ for the first time, as well as performing density functional theory (DFT) calculations to gain further insight into the spectra. The temperature dependence of the Sm³⁺ and Eu³⁺ magnetic susceptibilities are investigated by measuring the ¹⁷O shift of the cubic sesquioxides over a wide temperature range, which reveal non-Curie temperature dependence due to the presence of low-lying electronic states. This behaviour is reproduced by calculating the electron spin as a function of temperature, yielding shifts which agree well with the experimental values. Using the understanding of the magnetic behaviour gained from the sesquioxides, we then explore the local oxygen environments in 15 at% Sm- and Eu-substituted CeO₂, with the ¹⁷O NMR spectrum exhibiting signals due to environments with zero, one and two nearest neighbour Ln ions, as well as further splitting due to oxygen vacancies. Finally, we extract an activation energy for oxygen vacancy motion in these systems of 0.35 ± 0.02 eV from the Arrhenius temperature dependence of the ¹⁷O T₁ relaxation constants, which is found to be independent of the Ln ion within error. The relation of this activation energy to literature values for oxygen diffusion in Ln-substituted CeO₂ is discussed to infer mechanistic information which can be applied to further develop these materials as solid-state oxide-ion conductors.

含镧系元素（Ln）的材料的顺磁固态NMR可能具有挑战性，因为Ln f电子可能具有高电子自旋态，这导致大的顺磁位移，并且由于低自然丰度，这些困难在¹⁷ O中变得更为复杂和四极字符。在这项工作中，我们提供了镧系元素氧化物的¹⁷ O NMR实验实例和克服这些困难的策略。特别是，我们记录并指定了单斜Sm ₂ O ₃和Eu ₂ O ₃的¹⁷ O NMR光谱以及进行密度泛函理论（DFT）计算以进一步了解光谱。通过在较宽的温度范围内测量立方倍半氧化物的¹⁷ O位移，研究了Sm ³⁺和Eu ³⁺磁化率的温度依赖性，这揭示了由于存在低电子态而导致的非居里温度依赖性。通过计算电子自旋随温度的变化，可以再现这种行为，产生的位移与实验值非常吻合。使用从倍半氧化物获得的磁性行为的理解中，我们然后探索局部氧环境中15原子％SM-及Eu取代的CeO ₂，与由于具有零个，一个和两个最邻近的Ln离子的环境以及由于氧空位导致的进一步分裂，¹⁷ O NMR光谱显示出信号。最后，我们从¹⁷ O T ₁弛豫常数的阿累尼乌斯温度依赖性中提取了这些系统中氧空位运动的活化能0.35±0.02 eV，该活化能与误差范围内的Ln离子无关。讨论了该活化能与Ln取代的CeO _2中氧扩散的文献值之间的关系，以推断机制信息，该信息可用于进一步开发这些材料作为固态氧化物离子导体。