Construct and compare the energy level diagrams for the rotations of a diatomic molecule assuming it acts as a rigid rotor (equation
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Physical Chemistry
- Determine the number of total degrees of freedom and the number of vibrational degrees of freedom for the following species. a Hydrogen sulfide, H2S b Carbonyl sulfide, OCS c The sulfate ion, SO42 d Phosgene, COCl2 e Elemental chlorine, Cl2 f A linear molecule having 20 atoms g A nonlinear molecule having 20 atomsarrow_forwardAssuming that the vibrations of a 35Cl2 molecule are equivalent to those of a harmonic oscillator with a force constant kf = 329 N m−1, what is the zero-point energy of vibration of this molecule? Use m(35Cl) = 34.9688 mu.arrow_forwardKnowing that the rotational constant of the heteronuclear diatomic molecule HCl is 10.4367 cm−1 , calculate its internuclear distance.arrow_forward
- How many vibrational modes are there for the molecule NC–(C≡C–C≡C–)10CN detected in an interstellar cloud?arrow_forwardIf the spacings between adjacent vibrational features in a photoelectron spectroscopy experiment decrease, changing by a factor of 1/2, when you deuterate the molecule being ionized, is it more likely that the orbital from which you are ejecting an electron is from a nonbonding orbital, a p orbital localized on a C-C or C-O bond, or a s orbital localized on a C-H bond? Explain.arrow_forward(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.arrow_forward
- Is the bond length in 1HCl the same as that in 2HCl? The wavenumbers of the J = 1 ← 0 rotational transitions for 1H35Cl and 2H35Cl are 20.8784 and 10.7840 cm–1, respectively. Accurate atomic masses are 1.007 825mu and 2.0140mu for 1H and 2H, respectively. The mass of 35Cl is 34.968 85mu. Based on this information alone, can you conclude that the bond lengths are the same or different in the two molecules?arrow_forwardDescribe the process to find all vibrational modes of the moleculearrow_forwardAn H2 molecule is in its vibrational and rotational ground states. It absorbs a photon of wavelength 2.211 2 μm and makes a transition to the υ = 1, J = 1 energy level. It then drops to the υ = 0, J = 2 energy level while emitting a photon of wavelength 2.405 4 mm. Calculate (a) the moment of inertia of the H2 molecule about an axis through its center of mass and perpendicular to the H–H bond, (b) the vibrational frequency of the H2 molecule, and (c) the equilibrium separation distance for this molecule.arrow_forward
- 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.arrow_forwardIn the group theoretical language developed in Focus 10, a spherical rotor is a molecule that belongs to a cubic or icosahedral point group, a symmetric rotor is a molecule with at least a threefold axis of symmetry, and an asymmetric rotor is a molecule without a threefold (or higher) axis. Linear molecules are linear rotors. Classify each of the following molecules as a spherical, symmetric, linear, or asymmetric rotor and justify your answers with group theoretical arguments: (a) CH4, (b) CH3CN, (c) CO2, (d) CH3OH, (e) benzene, (f) pyridine.arrow_forwardWhat is the degeneracy of a molecule rotating with J = 3?arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning