P7E.6 Before attempting these calculations, see Problem P7E.5. The followingdata give the wavenumbers (wavenumbers in cm") of the v = 0 → 1 transitionof a number of diatomic molecules. Calculate the force constants of the bondsand arrange them in order of increasing stiffness. Use integer relative atomicmasses.'H*CI'H'Br'H"I29902650231021701904

The force constant k is related to wavenumber ν- by using the formula ν-=12πckμ c is the speed of…

Answered: P7E.6 Before attempting these…

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 14P

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What 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?
8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2
Assume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.
he vibrationa l period of the C-H bond in tribromomethane, CHBr3, is 91.2 ps. Treating the molecule as an oscillating H atom and a stationary CBr3 group, calculate the force constant for the C-H bond.
(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.
Assuming 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.
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?
: A space probe was designed to seek carbon monoxide in Saturn’s atmosphere by looking for lines in its rotational spectrum. If the bond length of CO is 112.8 pm, at what wavenumbers (in cm-1) do the first three rotational transitions appear? Carbon is almost all carbon-12, so for this part, you can assume it’s all 12C). What resolution would be required to determine the isotropic ratio of 13C to 12C on Saturn by observing the first three 13CO rotational lines as well? (In other words how far apart, in cm-1, are the rotational transitions of 12CO and 13CO
What is the degeneracy of a molecule rotating with J = 4?
You know that the wavenumbers of the rotational transition J = 1← 0 for 1H35Cl and2H35Cl are 20.8784 and 10.7840cm-1, respectively. Accurate atomic masses are1.007825 and 2.0140 for 1H and 2H, respectively. The mass of 35Cl is34.96885. Conclude based on this information that the bond lengths are the sameor different
Derive an expression for the force constant of an oscillator that can be modelled by a Morse potential energy (eqn 11C.7).
The rotational Raman spectrum of 35Cl2 shows a series of Stokes lines separated by 0.9752 cm−1 and a similar series of anti-Stokes lines. Calculate the bond length of the molecule.

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