Walrafen George E
Chemistry Department, University of Kansas Lawrence, Kansas 66045, USA.
J Chem Phys. 2005 May 1;122(17):174502. doi: 10.1063/1.1883626.
The dispersion of the Raman depolarization ratio rho(L) was measured for HDO in H(2)O and in D(2)O. rho(L) for the decoupled OD stretch displays a maximum at 2575 +/- 15 cm(-1) at 296 K and a minimum at 2675 +/- 15 cm(-1), in agreement with the isosbestic point 2570 +/- 10 cm(-1), and the enthalpy dispersion maximum, 2650-2675 cm(-1), respectively. However, three extrema were uncovered in rho(L) for the OH stretch of HDO in D(2)O, and their positions agree with the frequencies of a minimum and a maximum in the enthalpy dispersion and with the isosbestic frequency. The frequency of the rho(L) maximum (OH stretch) lies just above the frequency corresponding to the joint angle-frequency probability maximum. [Lawrence and Skinner, J. Chem. Phys. 118, 264 (2003)]. The low- and high-frequency minima in rho(L) (OH stretch), correspond, respectively, to very strong H-bonds, and extremely weak, long, bent H bonds. The frequencies of the maxima and minima in rho(L) for the decoupled OH and OD stretches are independent of temperature within experimental error between 295 and 368 K. rho(L) was also measured for the OD stretch from saturated NaClO(4) in D(2)OH(2)O; it displays a maximum at 2560 +/- 20 cm(-1) and a sharp minimum at 2650 +/- 5 cm(-1). The shape of the dispersion of (betaalpha)(2) approximately rho(L) for HDO in D(2)O was calculated with the aid of the molecular dynamics results of Lawrence and Skinner. beta(2) is the anisotropic polarizability and alpha is the isotropic polarizability. A maximum resulted in the calculated dispersion at 3400 +/- 10 cm(-1), in excellent agreement with the measured maximum of 3395 +/- 15 cm(-1). The H-bond angles decrease far below 180 degrees as the OH-stretching frequency increases to 3700 cm(-1) and above. Such small H-bond angles, and very large O-O distances, are tantamount to broken H-bonds and are thought to produce the minimum in rho(L) near 2650 cm(-1).
测量了HDO在H₂O和D₂O中的拉曼去偏振比ρ(L)的色散情况。对于解耦的OD伸缩振动,ρ(L)在296 K时于2575±15 cm⁻¹处出现最大值,在2675±15 cm⁻¹处出现最小值,这与等吸收点2570±10 cm⁻¹以及焓色散最大值2650 - 2675 cm⁻¹相符。然而,在D₂O中HDO的OH伸缩振动的ρ(L)中发现了三个极值,它们的位置与焓色散中的一个最小值和一个最大值的频率以及等吸收频率一致。ρ(L)最大值(OH伸缩振动)的频率恰好高于对应于联合角频率概率最大值的频率。[劳伦斯和斯金纳,《化学物理杂志》118, 264 (2003)]。ρ(L)(OH伸缩振动)中的低频和高频最小值分别对应于非常强的氢键以及极其弱、长且弯曲的氢键。在295至368 K的实验误差范围内,解耦的OH和OD伸缩振动的ρ(L)中的最大值和最小值的频率与温度无关。还测量了D₂O - H₂O中饱和NaClO₄的OD伸缩振动的ρ(L);它在2560±20 cm⁻¹处出现最大值,在2650±5 cm⁻¹处出现尖锐最小值。借助劳伦斯和斯金纳的分子动力学结果计算了D₂O中HDO的(β/α)²≈ρ(L)的色散形状。β²是各向异性极化率,α是各向同性极化率。计算出的色散在3400±10 cm⁻¹处出现最大值,与测量值3395±15 cm⁻¹非常吻合。随着OH伸缩振动频率增加到3700 cm⁻¹及以上,氢键角远低于180°。如此小的氢键角和非常大的O - O距离等同于断裂的氢键,被认为在2650 cm⁻¹附近产生了ρ(L)的最小值。