Bates Desiree M, Anderson Julie A, Oloyede Ponmile, Tschumper Gregory S
Department of Chemistry and Biochemistry, University of Mississippi, University, MS 38677-1848, USA.
Phys Chem Chem Phys. 2008 May 21;10(19):2775-9. doi: 10.1039/b718720c. Epub 2008 Apr 9.
Dimers composed of benzene (Bz), 1,3,5-triazine (Tz), cyanogen (Cy) and diacetylene (Di) are used to examine the effects of heterogeneity at the molecular level and at the cluster level on pi...pi stacking energies. The MP2 complete basis set (CBS) limits for the interaction energies (E(int)) of these model systems were determined with extrapolation techniques designed for correlation consistent basis sets. CCSD(T) calculations were used to correct for higher-order correlation effects (deltaE(CCSD)(T)(MP2)) which were as large as +2.81 kcal mol(-1). The introduction of nitrogen atoms into the parallel-slipped dimers of the aforementioned molecules causes significant changes to E(int). The CCSD(T)/CBS E(int) for Di-Cy is -2.47 kcal mol(-1) which is substantially larger than either Cy-Cy (-1.69 kcal mol(-1)) or Di-Di (-1.42 kcal mol(-1)). Similarly, the heteroaromatic Bz-Tz dimer has an E(int) of -3.75 kcal mol(-1) which is much larger than either Tz-Tz (-3.03 kcal mol(-1)) or Bz-Bz (-2.78 kcal mol(-1)). Symmetry-adapted perturbation theory calculations reveal a correlation between the electrostatic component of E(int) and the large increase in the interaction energy for the mixed dimers. However, all components (exchange, induction, dispersion) must be considered to rationalize the observed trend. Another significant conclusion of this work is that basis-set superposition error has a negligible impact on the popular deltaE(CCSD)(T)(MP2) correction, which indicates that counterpoise corrections are not necessary when computing higher-order correlation effects on E(int). Spin-component-scaled MP2 (SCS-MP2 and SCSN-MP2) calculations with a correlation-consistent triple-zeta basis set reproduce the trends in the interaction energies despite overestimating the CCSD(T)/CBS E(int) of Bz-Tz by 20-30%.
由苯(Bz)、1,3,5 - 三嗪(Tz)、氰(Cy)和二乙炔(Di)组成的二聚体用于研究分子水平和簇水平的异质性对π…π堆积能的影响。这些模型体系相互作用能(E(int))的MP2完全基组(CBS)极限是用针对相关一致基组设计的外推技术确定的。CCSD(T)计算用于校正高阶相关效应(deltaE(CCSD)(T)(MP2)),其高达 +2.81 kcal mol(-1)。将氮原子引入上述分子的平行滑移二聚体会导致E(int)发生显著变化。Di - Cy的CCSD(T)/CBS E(int)为 -2.47 kcal mol(-1),这比Cy - Cy(-1.69 kcal mol(-1))或Di - Di(-1.42 kcal mol(-1))都要大得多。同样,杂芳族Bz - Tz二聚体的E(int)为 -3.75 kcal mol(-1),这比Tz - Tz(-3.03 kcal mol(-1))或Bz - Bz(-2.78 kcal mol(-1))都要大得多。对称适配微扰理论计算揭示了E(int)的静电成分与混合二聚体相互作用能大幅增加之间的相关性。然而,必须考虑所有成分(交换、诱导、色散)才能合理解释观察到的趋势。这项工作的另一个重要结论是,基组叠加误差对常用的deltaE(CCSD)(T)(MP2)校正影响可忽略不计,这表明在计算对E(int)的高阶相关效应时不需要进行平衡校正。使用相关一致三重ζ基组的自旋分量缩放MP2(SCS - MP2和SCSN - MP2)计算重现了相互作用能的趋势,尽管高估了Bz - Tz的CCSD(T)/CBS E(int) 20 - 30%。