P11B.7 The microwave spectrum of 16O*CS gave absorption lines (in GHz) asfollows:13432524.3259236.488 8248.651 6460.814 0823.732 3347.462 40Use the expressions for moments of inertia in Table 11B.1, assuming that thebond lengths are unchanged by substitution, to calculate the CO and CS bondlengths in OCS. Table 11B.1 Moments of inertia*I= 4m,Rm1. Diatomic moleculesm.RImu=R2. Triatomic linear rotorsI=m,R*+m_R*m.RR'm.m(m,R-m_R')mI= 2m, R*f(e)=1-cose, f,(@)=1+2cost; in each case, m is the total mass of the molecule.R.m3. Symmetric rotors1=2m, f,(@)R?me1=m,f,(e)R(m, +m,)f,(e)R*RmR(3m, +m, )R+6m, R+f,(@)}Rm4=2m,f,(@)R²1=mf,(@)Rm.mm1=4m,Rm.I_=2m,R² +2%¸R°²Rm.m.Rmc4. Spherical rotorsmI=#m,Rmm

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Answered: P11B.7 The microwave spectrum of 16O*CS…

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 52AP

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The spacing of lines in the microwave spectrum of 35Cl19F is 1.033 cm−1; calculate the moment of inertia and bond length of the molecule.
P11C.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
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. 2
The frequency for the first excitation of the stretching mode in the HCl molecule was experimentally determined to be ? = 86.6 THz. calculate the wavenumber of the vibration and the energy spacing associated with this transition.
The 62Cu'H diatomic molecule has a measured moment of inertia of 3.498x10-40 g cm². What is the corresponding equilibrium bond distance of this diatomic molecule in units of A? 14.
(A) Explain why the spacings between the bands in the vibrational spectrum of a diatomic molecule would be expected to decrease with increasing vibrational quantum number. (B) Explain why a molecule with no dipole moment is microwave inactive but may show an infrared spectrum. (C) Explain the occurrence of P and R branches in the rotational fine structure of a vibrational transition of a diatomic molecule such as HCl or CO.
Calculate the energy levels of the 7-network in octatetraene, C3H10 (CC-C=C-C=C-C=C), using the particle in the box model. To calculate the box length, assume that the molecule is linear and use the values 135 and 154 pm for C=C and C-C bonds. What is the wavelength of light required to induce a transition from the ground state to the first excited state?
hydrogen molecule absorbs ultraviolet radiation in a transition from its 1Σg+ ground electronic state to an excited state that is energetically close to a dissociative 1Σu+ state. The absorption band has a relatively large experimental linewidth. Account for this observation.
Draw the lewis structure and describe the bondong in Cr2(CH3COO)4(H2O)2 using MO theory. In the Raman spectrum an intensive line at 556 cm-1 is observed. Assign this band and calculate the force constant using the approach that only two atoms are involved in this vibration.
The wavenumber of the fundamental vibrational transition of Cl 2 is 565 em·'. Calculate the force constant of thebond.
An oxygen molecule absorbs ultraviolet radiation in a transition from its 3Σg− ground electronic state to an excited state that is energetically close to a dissociative 5Πu state. The absorption band has a relatively large experimental linewidth. Account for this observation.
Write all possible electronic wave functions (including spin) for the (ogls)¹(ou 1s)¹ excited configu- ration of H2 in the LCAO-MO approximation. Identify the functions belonging to the excited singlet and triplet states.

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