Bates Desiree M, Tschumper Gregory S
Department of Chemistry and Biochemistry, University of Mississippi, University, Mississippi 38677-1848, USA.
J Phys Chem A. 2009 Apr 16;113(15):3555-9. doi: 10.1021/jp8105919.
MP2 and CCSD(T) complete basis set (CBS) limit relative electronic energies (DeltaE(e)) have been determined for eight low-lying structures of the water hexamer by combining explicitly correlated MP2-R12 computations with higher-order correlation corrections from CCSD(T) calculations. Higher-order correlation effects are quite substantial and increase DeltaE(e) by at least +0.19 kcal mol(-1) and as much as +0.59 kcal mol(-1). The effects from zero-point vibrational energy (ZPVE) have been assessed from unscaled harmonic vibrational frequencies computed at the MP2 level with a correlation consistent triple-zeta basis set (cc-pVTZ for H and aug-cc-pVTZ for O). ZPVE effects are even more significant than higher-order correlation effects and are uniformly negative, decreasing the relative energies by -0.16 kcal mol(-1) to -1.61 kcal mol(-1). Although it has been widely accepted that the cage becomes the lowest-energy structure after ZPVE effects are included [Nature 1996, 381, 501-503], the prism is consistently the most stable structure in this work, lying 0.06 kcal mol(-1) below the nearly isoenergetic cage isomer at the electronic MP2 CBS limit, 0.25 kcal mol(-1) below at the electronic CCSD(T) CBS limit, and 0.09 kcal mol(-1) below at the harmonic ZPVE corrected CCSD(T) CBS limit. Moreover, application of any uniform scaling factor less than unity to correct for anharmonicity further stabilizes the prism and increases the relative energies of the other structures.
通过将显式相关的MP2-R12计算与CCSD(T)计算的高阶相关校正相结合,已确定了水六聚体八个低能结构的MP2和CCSD(T)完全基组(CBS)极限相对电子能量(ΔE(e))。高阶相关效应相当显著,使ΔE(e)至少增加+0.19 kcal mol⁻¹,最多增加+0.59 kcal mol⁻¹。零点振动能(ZPVE)的效应已根据在MP2水平使用相关一致的三重ζ基组(H为cc-pVTZ,O为aug-cc-pVTZ)计算的未缩放谐波振动频率进行评估。ZPVE效应甚至比高阶相关效应更显著,且均为负值,使相对能量降低-0.16 kcal mol⁻¹至-1.61 kcal mol⁻¹。尽管人们普遍认为在考虑ZPVE效应后笼状结构成为最低能量结构[《自然》1996年,381卷,501 - 503页],但在本工作中棱柱始终是最稳定的结构,在电子MP2 CBS极限下比几乎等能量的笼状异构体低0.06 kcal mol⁻¹,在电子CCSD(T) CBS极限下低0.25 kcal mol⁻¹,在谐波ZPVE校正的CCSD(T) CBS极限下低0.09 kcal mol⁻¹。此外,应用任何小于1的统一缩放因子来校正非谐性会进一步稳定棱柱并增加其他结构的相对能量。