Ishimoto Takayoshi, Ishihara Yasuyuki, Teramae Hiroyuki, Baba Masaaki, Nagashima Umpei
Research Institute for Computational Science, National Institute of Advanced Industrial Science and Technology, Umezono 1-1-1, Tsukuba, Ibaraki 305-8568, Japan.
J Chem Phys. 2008 Dec 7;129(21):214116. doi: 10.1063/1.3028540.
We analyzed the H/D isotope effect in the methyl torsional interactions accompanying two methyl internal rotations for acetone (CH(3)COCH(3)) and deuterated acetone (CD(3)COCD(3) and CH(3)COCD(3)) in the ground state by means of the multicomponent molecular orbital (MC_MO) method, which directly accounts for the quantum effects of protons and deuterons. Our estimated rotational constants and moments of inertia for CH(3)COCH(3) and CD(3)COCD(3) agreed well with the experimental results because of the adequate treatment of protonic and deuteronic quantum effects afforded by the MC_MO method. Because the C-D bond distance in the CD(3) group was shorter than the C-H distance in CH(3) owing to the anharmonicity of the potential, the difference in potential energy surfaces of CH(3)COCH(3), CD(3)COCD(3), and CH(3)COCD(3) was strongly related to the differences induced in geometrical parameters by the H/D isotope effect. The potential energy obtained by the MC_MO method was estimated as 290.88 cm(-1) for CH(3)COCH(3), which is in excellent agreement with the experimental results. For CH(3)COCD(3), two potential energies were obtained for CH(3) and CD(3) internal rotations. The MC_MO method successfully elucidated the H/D isotope effect for methyl-methyl repulsive interactions by allowing the adequate treatment of protonic and deuteronic wave functions. The potential energies and bond distances associated with methyl internal rotation induced by the H/D isotope effect were also controlled by the distribution of wave functions of protons and deuterons.
我们通过多组分分子轨道(MC_MO)方法分析了丙酮(CH(3)COCH(3))和氘代丙酮(CD(3)COCD(3)以及CH(3)COCD(3))基态下伴随两个甲基内旋转的甲基扭转相互作用中的H/D同位素效应,该方法直接考虑了质子和氘核的量子效应。由于MC_MO方法对质子和氘核量子效应的恰当处理,我们估算的CH(3)COCH(3)和CD(3)COCD(3)的转动常数和转动惯量与实验结果吻合良好。由于势的非谐性,CD(3)基团中的C-D键长比CH(3)中的C-H键长短,CH(3)COCH(3)、CD(3)COCD(3)和CH(3)COCD(3)的势能面差异与H/D同位素效应引起的几何参数差异密切相关。通过MC_MO方法得到的CH(3)COCH(3)的势能估计为290.88 cm(-1),与实验结果高度吻合。对于CH(3)COCD(3),CH(3)和CD(3)内旋转得到了两个势能。MC_MO方法通过对质子和氘核波函数的恰当处理,成功阐明了甲基-甲基排斥相互作用的H/D同位素效应。H/D同位素效应引起的甲基内旋转相关的势能和键长也由质子和氘核的波函数分布控制。