计算C6色散系数的距离分离含时密度泛函理论的评价
Assessment of range-separated time-dependent density-functional theory for calculating C6 dispersion coefficients
摘要:
我们评估的线性响应范围分离的时间依赖的密度泛函理论(TDDFT)的变体,结合长程Hartree-Fock(HF)交换核与短程绝热交换相关核的局域密度近似(LDA)计算各向同性C6的色散系数的同二聚体的一些闭壳层原子和小分子。这种范围分离的TDDFT往往会低估小分子的C6系数,平均绝对百分比误差约为5%,比绝热LDA中的标准TDDFT略有改善,其往往会高估它们,平均绝对百分比误差为8%,但接近于时间依赖的Hartree-Fock,平均绝对百分比误差约为6%。因此,这些结果表明,在TDDFT中引入长程HF交换对C6系数的值具有较小但有益的影响。它也证实了本变体的距离分离TDDFT是一个相当准确的方法,即使只使用LDA型密度泛函,而不添加显式处理长程相关。
英文摘要:
We assess a variant of linear-response range-separated time-dependent density-functional theory (TDDFT), combining a long-range Hartree-Fock (HF) exchange kernel with a short-range adiabatic exchange-correlation kernel in the local-density approximation (LDA) for calculating isotropic C6 dispersion coefficients of homodimers of a number of closed-shell atoms and small molecules. This range-separated TDDFT tends to give underestimated C6 coefficients of small molecules with a mean absolute percentage error of about 5%, a slight improvement over standard TDDFT in the adiabatic LDA which tends to overestimate them with a mean absolute percentage error of 8%, but close to time-dependent Hartree-Fock which has a mean absolute percentage error of about 6%. These results thus show that introduction of long-range HF exchange in TDDFT has a small but beneficial impact on the values of C6 coefficients. It also confirms that the present variant of range-separated TDDFT is a reasonably accurate method even using only a LDA-type density functional and without adding an explicit treatment of long-range correlation.
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