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-STUDENT SOLN.MAN.
- 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_forwardWhat is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forward3 Calculate the frequencies and wavelengths for the rotational transition J = 0 → J = 1 and J = 4 → J = 5 for the HCl molecule. The internuclear distance is Re = 0.12745 nm. What is the frequency shift between the two isotopomers H35Cl and H37Cl for the two transitions?arrow_forward
- An 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_forwardKnowing that the rotational constant of the heteronuclear diatomic molecule HCl is 10.4367 cm−1 , calculate its internuclear distance.arrow_forwardThe 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.arrow_forward
- Calculate the energies of the first four rotational levels of 1H127I free to rotate in three dimensions; use for its moment of inertia I = μR2, with μ = mHmI/(mH + mI) and R = 160 pm. Use integer relative atomic masses for this estimate.arrow_forwardE rotational is 2.777×10−20 Jarrow_forwardThe force constant of 79Br79Br is 240 N.m−1 . Calculate the fundamental vibrational frequency and the zero-point energy of 79Br79Br.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_forwardassuming that the vibrations of a 35Cl2 molecule are equivalent to those of a harmonic oscillator with a force constant Kf= 329 Nm-1, what is the zero point energy of vibration of this molecule?arrow_forwardA diatomic molecule has a rotational constant of 8.0 cm-1, and vibrational frequency of 1200 cm 1. What is the energy of the state with v = 1 and j = 6 relative to the lowest energy state, E = E(v=0,j=0)? 0arrow_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