Accurate Determination of the Structure of Cyclohexane by Femtosecond Rotational Coherence Spectroscopy and Ab Initio Calculations
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文摘
We combine femtosecond time-resolved rotational coherence spectroscopy with high-level ab initio theory to obtain accurate structural information for the nonpolar molecules cyclohexane (C6H12) and cyclohexane-d12 (C6D12). We measured the rotational B0 and centrifugal distortion constants DJ, DJK of the v = 0 states of C6H12 and C6D12 to high accuracy, for example, B0(C6H12) = 4306.08(5) MHz, as well as Bv for the vibrationally excited states 谓32, 谓6, 谓16 and 谓24 of C6H12 and additionally 谓15 for C6D12. To successfully reproduce the experimental RCS transient, the overtone and combination levels 2谓32, 3谓32, 谓32 + 谓6, and 谓32 + 谓16 had to be included in the RCS model calculations. The experimental rotational constants are compared to those obtained at the second-order M酶ller鈥揚lesset (MP2) level. Combining the experimental and calculated rotational constants with the calculated equilibrium bond lengths and angles allows determination of accurate semiexperimental equilibrium structure parameters, for example, re(C鈥揅) = 1.526 卤 0.001 脜, re(C鈥揌axial) = 1.098 卤 0.001 脜, and re(C鈥揌equatorial) = 1.093 卤 0.001 脜. The equilibrium C鈥揅 bond length of C6H12 is only 0.004 脜 longer than that of ethane. The effect of ring strain due to the unfavorable gauche interactions is mainly manifested as small deviations from the C鈥揅鈥揅, C鈥揅鈥揌axial, and C鈥揅鈥揌equatorial angles from the tetrahedral value.

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