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基组极限耦合簇单双激发微扰三重态(CCSD(T))的简正振动频率

Basis set limit CCSD(T) harmonic vibrational frequencies.

作者信息

Tew David P, Klopper Wim, Heckert Miriam, Gauss Jürgen

机构信息

Lehrstuhl für Theoretische Chemie, Institut für Physikalische Chemie, Universität Karlsruhe (TH), D-76128 Karlsruhe, Germany.

出版信息

J Phys Chem A. 2007 Nov 8;111(44):11242-8. doi: 10.1021/jp070851u. Epub 2007 May 19.

DOI:10.1021/jp070851u
PMID:17511434
Abstract

Benchmark, frozen-core CCSD(T) equilibrium harmonic vibrational frequencies of 12 closed-shell and five open-shell molecules are computed to within 1 cm-1 of the basis set limit using the explicitly correlated CCSD(T)-R12 method. The convergence of the standard CCSD(T) method with the one-particle basis sets of Dunning and co-workers is examined and found to be slow, with mean and maximum absolute errors of 1.3 and 3.5 cm-1 remaining at the cc-pV6Z level. Finite basis set effects do not appear to introduce systematic errors in equilibrium harmonic frequencies, and mean absolute errors reduce by a factor of 2 for each basis set cardinal number increment. The convergence of individual equilibrium harmonic frequencies is not guaranteed to be monotonic due to the associated shift in the equilibrium structure. The inclusion of computed scalar relativistic effects and previously available corrections for core-valence correlation and higher-order excitations in the cluster operator results in an agreement with experimentally derived harmonic frequencies of 0.1, 0.3, and -0.4 cm-1 for HF, N2, and CO, respectively. F2 continues to present a challenge to computational chemistry with an error of 3.2 cm-1, primarily resulting from the high basis set dependence of the quadruples contribution.

摘要

使用显式相关的CCSD(T)-R12方法,计算了12个闭壳层分子和5个开壳层分子的基准、冻结核CCSD(T)平衡谐波振动频率,其计算精度在基组极限的1 cm-1以内。研究了标准CCSD(T)方法与邓宁及其同事的单粒子基组的收敛性,发现收敛速度较慢,在cc-pV6Z水平下,平均绝对误差和最大绝对误差分别为1.3和3.5 cm-1。有限基组效应似乎不会在平衡谐波频率中引入系统误差,并且对于每个基组基数增量,平均绝对误差会减小一半。由于平衡结构的相关位移,单个平衡谐波频率的收敛性不能保证是单调的。在簇算符中包含计算得到的标量相对论效应以及先前可用的核对价相关和高阶激发的校正后,对于HF、N2和CO,与实验推导的谐波频率的一致性分别为0.1、0.3和-0.4 cm-1。F2仍然对计算化学构成挑战,误差为3.2 cm-1,这主要是由于四重态贡献对基组的高度依赖性所致。

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