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arXiv 1408.7041cond-mat.mtrl-sci
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简化了化学屏蔽张量的第一性原理固态计算中的温度效应

Temperature effects in first-principles solid state calculations of the chemical shielding tensor made simple

Bartomeu Monserrat, Richard J. Needs, Chris J. Pickard

摘要:

利用第一性原理密度泛函理论计算研究了原子振动对固体化学屏蔽张量的影响。在谐波水平上,我们使用蒙特卡罗方法和微扰展开。蒙特卡罗方法是准确的,但计算昂贵,而微扰方法是计算更有效,但近似。我们发现这两种方法的各向同性位移和屏蔽各向异性之间的良好协议。零点量子力学核运动的影响在相对较高的温度下是重要的:在500 K时,它们仍然占总振动贡献的一半左右。我们还研究了非谐振动的影响,发现它们对化学屏蔽张量零点修正的贡献很小。我们用氧化镁和分子晶体L-丙氨酸和β-乙酰-L-丙氨酸验证了这些想法。因此,我们建议作为方法的选择,将温度的影响,在固态化学屏蔽张量计算的微扰膨胀内的谐波近似。这种方法是准确的,需要的计算工作量比动态或蒙特卡罗方法小一个数量级,因此这些影响可能会被常规考虑。

英文摘要:

We study the effects of atomic vibrations on the solid-state chemical shielding tensor using first principles density functional theory calculations. At the harmonic level, we use a Monte Carlo method and a perturbative expansion. The Monte Carlo method is accurate but computationally expensive, while the perturbative method is computationally more efficient, but approximate. We find excellent agreement between the two methods for both the isotropic shift and the shielding anisotropy. The effects of zero-point quantum mechanical nuclear motion are important up to relatively high temperatures: at 500 K they still represent about half of the overall vibrational contribution. We also investigate the effects of anharmonic vibrations, finding that their contribution to the zero-point correction to the chemical shielding tensor is small. We exemplify these ideas using magnesium oxide and the molecular crystals L-alanine and beta-aspartyl-L-alanine. We therefore propose as the method of choice to incorporate the effects of temperature in solid state chemical shielding tensor calculations the perturbative expansion within the harmonic approximation. This approach is accurate and requires a computational effort that is about an order of magnitude smaller than that of dynamical or Monte Carlo approaches, so these effects might be routinely accounted for.

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