11B.3 Calculate the rotational constant for 32S 19F6 for which the S – F bond length is 158 pm. Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables.
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11B.3 Calculate the rotational constant for 32S 19F6 for which the S – F bond length is 158 pm.
Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables.
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- 11B.7 The rotational constant of 127I35Cl is 3.423 GHz. Calculate the ICl bond length. Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables. (including the superscripts)Suppose you were seeking the presence of (planar) S03 molecules in the microwave spectra of interstellar gas clouds. (a) You would need to know the rotational constants A and B. Calculate these parameters for 32S16O3, for which the S-O bond length is 143 pm. (b) Could you use microwavespectroscopy to distinguish the re lative abundances of 32S16O3 and 33S16O3?Calculate the rotational constant (B) for the molecule H12C14N, given that the H-C and C-N bond distances are 106.6 pm and 115.3 pm respectively.
- (b) The lowest frequency rotational transition of ²H³³C1 occurs at 10.92 cm1. Determine (i) The rotational constant, B, in Hz (ii) The bond lengthThe vibrational energy levels for XO molecule can be described by the following formula: E(n) in Joule = 1.88x10-20(n+1/2) – 2.68x10-22(n+1/2)² where n is the vibrational quantum number. What would be the equilibrium dissociation energy (De) of the XO molecule in a kJ mol-1?As noted in lecture, the rigid rotor model can be improved by recognizing that in a realistic anharmonic potential, the bond length increases with the vibrational quantum number v. Thus, the rotational constant depends on v, and it can be shown that By = Be – ae(v +). For 'H®Br, B = 8.473 cm1 and a = 0.226 cm². Use this information to calculate the bond length for HBr a) as a rigid rotor, and b) as a nonrigid rotor in the ground vibrational state. Find a literature value for this bond length (cite your source) and compare your answers. Under what conditions would you expect the nonrigid rotor to be a significantly better model?
- Calculate the CO and CS bond lengths in OCS from the rotational constants B(16O12C32S) = 6081.5MHz, B(16O12C34S) = 5932.8MHz.P11E.2 Suppose that three conformations are proposed for the nonlinear molecule H,O, (1, 2, and 3). The infrared absorption spectrum of gaseous H,O, has bands at 870, 1370, 2869, and 3417 cm. The Raman spectrum of the same sample has bands at 877, 1408, 1435, and 3407 cm. All bands correspond to fundamental vibrational wavenumbers and you may assume that: (a) the 870 and 877 cm bands arise from the same normal mode, and (b) the 3417 and 3407 cm bands arise from the same normal mode. (i) If H,O, were linear, how many normal modes of vibration would it have? (ii) Give the symmetry point group of each of the three proposed conformations of nonlinear H,O,. (iii) Determine which of the proposed conformations is inconsistent with the spectroscopic data. Explain your reasoning. 2P11C.9 Provided higher order terms are neglected, eqn 11C.9b for the vibrational wavenumbers of an anharmonic oscillator, AĞv+1/2 = Ỹ −2(v +1)x¸ỹ+…, is the equation of a straight line when the left- hand side is plotted against v + 1. Use the following data on CO to determine the values of ỹ and x¸v for CO: e V AĞ [v+1/2/cm-¹ 1 2143.1 2116.1 0 2 2088.9 3 2061.3 4 2033.5
- The first five vibrational energy levels of ¹H¹27 I are at 1144.83, 3374.90, 5525.51, 7596.66, and 9588.35 cm¹. Treating the molecule as an anharmonic oscillator, estimate the dissociation energy of the molecule in units of reciprocal centimetres (cm-¹). [Note: m(¹H) = 1.0078 u, m(¹271) = 126.9045 u; assume the second order anharmonicity constant, Ye, to be zero.] [Note: Use graph paper in your answer.](a) Express the moment of inertia of an octahedral AB6 molecule in terms of its bond lengths and the masses of the B atoms. (b) Calculate the rotational constant of 32S19F6 , for which the S—F bond length is 158 pm.The force constant for the bond in CO is 1857 N m−1. Calculate the vibrational frequencies (in Hz) of 12C16O, 13C16O, 12C18O, and 13C18O. Use integer relative atomic masses for this estimate.