Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795, USA.
J Chem Phys. 2009 Nov 14;131(18):184511. doi: 10.1063/1.3257625.
A first principles embedded cluster approach is used to calculate O chemical shielding tensors, sigma, in prototypical transition metal oxide ABO(3) perovskite crystals. Our principal findings are (1) a large anisotropy of sigma between deshielded sigma(x) approximately sigma(y) and shielded sigma(z) components (z along the Ti-O bond); (2) a nearly linear variation, across all the systems studied, of the isotropic sigma(iso) and uniaxial sigma(ax) components, as a function of the B-O-B bond asymmetry. We show that the anisotropy and linear variation arise from large paramagnetic contributions to sigma(x) and sigma(y) due to virtual transitions between O(2p) and unoccupied B(nd) states. The calculated isotropic delta(iso) and uniaxial delta(ax) chemical shifts are in good agreement with recent BaTiO(3) and SrTiO(3) single crystal (17)O NMR measurements. In PbTiO(3) and PbZrO(3), calculated delta(iso) are also in good agreement with NMR powder spectrum measurements. In PbZrO(3), delta(iso) calculations of the five chemically distinct sites indicate a correction of the experimental assignments. The strong dependence of sigma on covalent O(2p)-B(nd) interactions seen in our calculations indicates that (17)O NMR spectroscopy, coupled with first principles calculations, can be an especially useful tool to study the local structure in complex perovskite alloys.
我们采用第一性原理嵌入簇方法计算了典型过渡金属氧化物 ABO(3)钙钛矿晶体中 O 化学位移张量 σ。我们的主要发现是:(1) σ 在去屏蔽的 σ(x)和 σ(y)与屏蔽的 σ(z)分量之间具有较大的各向异性(z 沿 Ti-O 键);(2) 在所有研究的体系中,各向同性σ(iso)和单轴 σ(ax)分量几乎呈线性变化,这与 B-O-B 键不对称性有关。我们表明,各向异性和线性变化源于 O(2p)和未占据 B(nd)态之间的虚拟跃迁对 σ(x)和 σ(y)的大顺磁贡献。计算得到的各向同性位移 δ(iso)和单轴位移 δ(ax)与最近的 BaTiO(3)和 SrTiO(3)单晶 (17)O NMR 测量值吻合良好。在 PbTiO(3)和 PbZrO(3)中,计算的 δ(iso)也与 NMR 粉末谱测量值吻合良好。在 PbZrO(3)中,对五个化学上不同的位置的 δ(iso)计算表明对实验分配的修正。我们的计算表明 σ 强烈依赖于共价 O(2p)-B(nd)相互作用,这表明(17)O NMR 光谱与第一性原理计算相结合可以成为研究复杂钙钛矿合金中局部结构的特别有用工具。