Question: 6. Using the data in Table 1.6, calculate the value of the zero-point vibrational energy of a water molecule. . TABLE 1.6 The fundamental vibrational

6. Using the data in Table 1.6, calculate the value of the zero-point vibrational energy of a water molecule. . TABLE 1.6 The

6. Using the data in Table 1.6, calculate the value of the zero-point vibrational energy of a water molecule. . TABLE 1.6 The fundamental vibrational frequencies and the rotational constants of some polyatomic molecules. The numbers in parentheses indicate the degeneracy of the normal mode. These parameters were obtained from a variety of sources and do not represent the most accurate values because they were obtained under the rigid-rotator harmonic-oscillator approximation. Molecule Shape /cm /cm' B/cm' [/cm! CO2 0.390 0.419 NO CH 5.27 CCI, 0.057 linear 2335, 1313, 663(2) linear 2224, 1279, 590.8(2) spherical top 2898, 1515(2), 3002(3), 1300(3) spherical top 458.7, 215.5(2), 778.4(3), , () 312.8(3) symmetric top 3336, 945.2, 3392(2), 1619(2) symmetric top 2968, 1355, 729.8, 3044(2), 1487(2), 1015(2) asymmetric top 3725, 3586, 1595 asymmetric top 1153, 1362, 521.3 NH 6.20 9.45 9.45 CH,C 5.09 0.443 0.443 14.6 9.31 HO SO, 27.9 2.03 0.344 0.293 6. Using the data in Table 1.6, calculate the value of the zero-point vibrational energy of a water molecule. . TABLE 1.6 The fundamental vibrational frequencies and the rotational constants of some polyatomic molecules. The numbers in parentheses indicate the degeneracy of the normal mode. These parameters were obtained from a variety of sources and do not represent the most accurate values because they were obtained under the rigid-rotator harmonic-oscillator approximation. Molecule Shape /cm /cm' B/cm' [/cm! CO2 0.390 0.419 NO CH 5.27 CCI, 0.057 linear 2335, 1313, 663(2) linear 2224, 1279, 590.8(2) spherical top 2898, 1515(2), 3002(3), 1300(3) spherical top 458.7, 215.5(2), 778.4(3), , () 312.8(3) symmetric top 3336, 945.2, 3392(2), 1619(2) symmetric top 2968, 1355, 729.8, 3044(2), 1487(2), 1015(2) asymmetric top 3725, 3586, 1595 asymmetric top 1153, 1362, 521.3 NH 6.20 9.45 9.45 CH,C 5.09 0.443 0.443 14.6 9.31 HO SO, 27.9 2.03 0.344 0.293

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